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Download Free Basic Math And Pre Algebra Workbook For Dummies Book in PDF and EPUB Free Download. You can read online Basic Math And Pre Algebra Workbook For Dummies and write the review.
Basic Math and Pre-Algebra Workbook For Dummies, 2nd Edition helps take the guesswork out of solving math equations and will have you unraveling the mystery of FOIL in no time. Whether you need to brush up on the basics of addition, subtraction, multiplication, and division or you're ready to tackle algebraic expressions and equations, this handy workbook will demystify math so you can get back to having fun in math class. Properly use negative numbers, units, inequalities, exponents, square roots, and absolute value Round numbers and estimate answers Solve problems with fractions, decimals, and percentages Navigate basic geometry Complete algebraic expressions and equations Understand statistics and sets Sample questions with step-by-step explanation Answers to practice problems so you can check your work Let Basic Math and Pre-Algebra Workbook For Dummies, 2nd Edition take the guessing out of math and help you discover your problem solving potential.
Basic Math & Pre-Algebra For Dummies, 2nd Edition (9781119293637) was previously published as Basic Math & Pre-Algebra For Dummies, 2nd Edition (9781118791981). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Tips for simplifying tricky basic math and pre-algebra operations Whether you're a student preparing to take algebra or a parent who wants or needs to brush up on basic math, this fun, friendly guide has the tools you need to get in gear. From positive, negative, and whole numbers to fractions, decimals, and percents, you'll build necessary math skills to tackle more advanced topics, such as imaginary numbers, variables, and algebraic equations. Explanations and practical examples that mirror today's teaching methods Relevant cultural vernacular and references Standard For Dummiesmaterials that match the current standard and design Basic Math & Pre-Algebra For Dummies takes the intimidation out of tricky operations and helps you get ready for algebra!
Algebra I For Dummies, 2nd Edition (9781119293576) was previously published as Algebra I For Dummies, 2nd Edition (9780470559642). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Factor fearlessly, conquer the quadratic formula, and solve linear equations There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies, 2nd Edition provides the plain-English, easy-to-follow guidance you need to get the right solution every time! Now with 25% new and revised content, this easy-to-understand reference not only explains algebra in terms you can understand, but it also gives you the necessary tools to solve complex problems with confidence. You'll understand how to factor fearlessly, conquer the quadratic formula, and solve linear equations. Includes revised and updated examples and practice problems Provides explanations and practical examples that mirror today's teaching methods Other titles by Sterling: Algebra II For Dummies and Algebra Workbook For Dummies Whether you're currently enrolled in a high school or college algebra course or are just looking to brush-up your skills, Algebra I For Dummies, 2nd Edition gives you friendly and comprehensible guidance on this often difficult-to-grasp subject.
Logic concepts are more mainstream than you may realize. There's logic every place you look and in almost everything you do, from deciding which shirt to buy to asking your boss for a raise, and even to watching television, where themes of such shows as CSI and Numbers incorporate a variety of logistical studies. Logic For Dummies explains a vast array of logical concepts and processes in easy-to-understand language that make everything clear to you, whether you're a college student of a student of life. You'll find out about: Formal Logic Syllogisms Constructing proofs and refutations Propositional and predicate logic Modal and fuzzy logic Symbolic logic Deductive and inductive reasoning Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you've learned.
Manage your time and ace the mathematics section of the SAT Scoring well on the mathematics section of the SAT exam isn't guaranteed by getting good grades in Algebra and Geometry. Turn to SAT Math For Dummies for expert advice on translating your classroom success into top scores. Loaded with test-taking strategies, two practice tests, and hundreds of problems with detailed solutions and explanations, SAT Math For Dummies helps you maximize your scores in no time. Review key math concepts and then step through example and sample problems and solutions presented in the same multiple choice and grid-in formats you'll experience on the SAT Offers an expert review of core mathematic concepts as well as ample opportunity for practice Improve important skills such as estimation and number sense SAT Math For Dummies gives you expert tips on how to make the best use of the limited time allowed and get your best possible score! | 677.169 | 1 |
Variables and Equations Interactive Flip Book
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
2.16 MB | 11 pages
PRODUCT DESCRIPTION
This product is a great way to review or assess your students' knowledge of variables, equations, and parentheses. This interactive flip book contains 4 student work pages and a cover. The book is easy to assemble since students only have to cut out rectangles. Also, the completed flip book will fit into an interactive notebook (both composition books and spirals)!
Topics/Skills included:
solving for an unknown variable
understanding and using parentheses to solve equations
matching equations with phrases involving variables
solving word problems by creating an equation with a variable
Please remember, this purchase is for the use of one teacher. It is not intended to be shared. Please use the 'additional license' purchase if more than one teacher will be using it. Thank you!
Follow Swinging for Success for more ideas! Don't forget to leave feedback after your download to get credits for future purchases | 677.169 | 1 |
Scientific calculator
A scientific calculator is a type of electroniccalculator, usually but not always handheld, designed to calculate problems in science, engineering, and mathematics. They have almost completely replaced slide rules in almost all traditional applications, and are widely used in both education and professional settings.
In certain contexts such as higher education, scientific calculators have been superseded by graphing calculators, which offer a superset of scientific calculator functionality along with the ability to graph input data and write and store programs for the device. There is also some overlap with the financial calculator market.
Functions
Modern scientific calculators generally have many more features than a standard four or five-function calculator, and the feature set differs between manufacturers and models; however, the defining features of a scientific calculator include: | 677.169 | 1 |
A comprehensive and comical new illustrated guide to algebraDo you think that a Cartesian plane is a luxury jetliner? Does the phrase "algebraic expression" leave you with a puzzled look? Do you believe that the Order of Operations is an Emmy-winning medical drama? Then you need The Cartoon Guide to Algebra to put you on the road to algebraic literacy.The Cartoon Guide to Algebra covers all of algebra's essentials--including rational and real numbers, the number line, variables, expressions, laws of combination, linear and quadratic equations, rates, proportion, and graphing--with clear, funny, and easy-to-understand illustrations, making algebra's many practical applications come alive. This latest math guide from New York Times bestselling author Larry Gonick is an essential supplement for students of all levels, in high school, college, and beyond. School's most dreaded subject has never been more fun.
Reseña del editor:
In this latest edition to the successful Cartoon Guide series, master cartoonist and former Harvard instructor Larry Gonick offers a complete and up-to-date illustrated course to help students understand and learn this core mathematical course taught in American schools.UsingCombining Gonick's unique ability to make difficult topics fun, interesting, and easy-to-understand--while still relaying the essential information in a clear, organized and accurate format--The Cartoon Guide to Algebra is an essential supplement for students of all levels, in high school, college, and beyond.0062202697
Descripción William Morrow Paperbacks 2015-02201698
Descripción HarperCollins Publishers Inc. Paperback. Estado de conservación: new. BRAND NEW, The Cartoon Guide to Algebra, Larry Gonick, Combining Gonick's B9780062202697 | 677.169 | 1 |
Maths coursework questions
The ultimate Computer Science Resource Package for schools - KS3/GCSE/A Level - computing resources. Includes 100s of theory powerpoints, video tutorials, … If you've been following along with our Catcher in the Rye recaps, you'll know that Holden hates phonies, loves digressions, and was an early adopter of off-the-grid. If you haven't seen the SMILE resources you certainly should have! SMILE (Secondary Mathematics Individualised Learning Experiment) resources were produced and used. Big Download Portal. You can find and download evrething you want!
The Maths GCSE course from Oxford Home Schooling progresses the student's advanced mathematical skills over thirteen tutor marked assignments and a written … Getting Math Analysis Help Online. Mathematical Analysis Homework Include: Different geometry, complex analysis, harmonic analysis, and functional analysis. PSA! DoSomething.org Has a TON of Scholarship Opportunities Right Now. SPOILER: college is crazy-expensive. Sorry. Did we spoil it? There are...
Maths coursework questions
Is "math" or "maths" the correct word to use as the shortened or colloquial form of the word mathematics? The answer is that it depends on where you are. Find out which subjects you should study to become a medical doctor, if you have the traits doctors usually have, and the benefits of becoming a doctor DDs school say they do IGCSE in a majority of subjects and they are selling this as an advantage. We have a meeting about course options in a few wee Dyslexia, also known as reading disorder, is characterized by trouble with reading despite normal intelligence. Different people are affected to varying degrees.
Ask all your math questions here and I will try my best to answer them. College algebra help how to write cv cover letter TRY OUR NEW WILD BERRY MARGARITA best friend school essay … Mathematical anxiety is anxiety about one's ability to do mathematics. It is a phenomenon that is often considered when examining students' problems in …
Introduction Welcome to the IGCSE Additional Maths learning portal. We recommend the following method in order to learn effectively and achieve excellent results in. HILLSIDE, NJ – October 25, 2016 – WizKids is excited to announce a new licensing partnership with Lookout Games GmbH to expand on their global hit board game. Mathematical anxiety is anxiety about one's ability to do mathematics. It is a phenomenon that is often considered when examining students' problems in … | 677.169 | 1 |
For the middle part of today's lesson, I want students to begin working through a calculator based assignment (see Basic_Trigonometric_Transformations_Student). Students will need access to their own TI-Nspire calculator to complete this activity.
The activity guides students through developing an understanding of how parameter changes on a trigonometric function will affect the graph. Students will also learn to identify the period and amplitude of sinusoidal graphs. I like to start this sequence of lessons off with approachable, hands-on calculator work. Allowing the studentsd time to build on their existing knowledge, I provide the students with time to explore on their calculators. My goal is for my students to complete Questions #1-5 on their handout. (This content is on Pages 1.1-4.2 in their Ti-Navigator calculator file). However, I encourage students to keep working and complete as much of the investigation as they can in the time afforded to them.
The original lesson published by Texas Instruments can be found here. You can find the answer key to this lesson on this website as well as the .tns file that will need to be downloaded to the calculators.
Resources
Hello, I do not have TI Inspire calculators at my site, so I adapted this activity to be used in Desmos with sliders instead. I would love to share it with you so or anyone else that would like to use it. I would love if you could upload it in this lesson even. Is there a way I can send the document to you? | 677.169 | 1 |
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Show More Martin-Gay's algebra series continues her focus on students and what they need to be successful. Martin-Gay also strives to provide the highest level of instructor and adjunct support. KEY TOPICS: Review of Real Numbers; Equations and Problem Solving; Graphing; Systems of Linear Equations; Exponents and Polynomials; Factoring Polynomials; Rational Expressions; More on Functions and Graphs; Inequalities and Absolute Value; Radicals, Rational Exponents, and Complex Numbers; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conic Sections; Sequences, Series, and the Binomial Theorem MARKET: for all readers interested in | 677.169 | 1 |
Mathematics Fundamentals for Apprenticeship Preparation
Course: MAT0030
A solid foundation in mathematics is necessary to succeed in apprenticeship training. Through skills-based problem solving, individual study and frequent feedback on progress, students solve problems by using fractions, decimals, percent, ratio and proportion, the metric system, measurement, order of operations, use number sense, manipulating linear and non-linear relations, exponents, polynomials and trigonometry of right triangles. | 677.169 | 1 |
or if you have a vision impairment. Sliders are great to understand functions in a visual way. It has some limitations when doing more complex math - you'll still want your Ti-84. | 677.169 | 1 |
Help me choose a calculus book
Hey,I have not started calculus yet but am SO keen to do so.
I'd love for your suggestions on a book to start with.
I love books which have a lot of theory and I would love if it explains exactly why and how they were discovered.
Comments
According to your post, you are a 10th grader, right? You will learn calculus, limits and derivatives in 11th...but you can get a head start with some books....for the 11th grade portions RD Sharma books are very good!
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Rohan Rao
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4 years ago
To be honest I know very little about calculus textbooks, but this link has a pretty good list of math books, including Spivak, which I personally learned from.
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A B
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4 years ago
Log in to reply
Check out Spivak's Calculus for a more rigorous approach. You can find it on Library Genesis.
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O B
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4 years ago
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@O B
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Spivak is a great book , but its not for those who are beginners . I have spivak too as ebook in computer .Apostol calculus is Harder than even IIT books . Problems in APostol calculus are extra ordinary hard and i suggest you to read other books first..
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Shivang Jindal
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4 years ago
@Pranav Arora
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Friends, how is "RESNICK, HALLIDAY AND WALKER" book for Physics. These are the authors actually of the book.
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Bhargav Das
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4 years ago
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go to this site and download this e-book
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Swapnil Rajawat
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3 years, 1 month ago
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Just a comment, you can find all the books mentioned on Library Genesis.
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Parth Kohli
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4 years ago
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go to en.bookfi.org is the best site that pertains free books on any subject.please refer
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Niaz Ghumro
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4 years ago
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applied calculus for life and social science TAN
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Niaz Ghumro
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4 years ago
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Start with clssics , Thomas and finney Calculus ( google it , you can find it for free) then go to Thomas calculus . :) It will be exciting read..
I am also in 10th , and my exams will over on 11th . Since i had no problem in reading and solving this books .
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Shivang Jindal
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4 years ago
Log in to reply
Go to coursera look up calculus one and go to the Ohio state university course, then enrolled and print the free textbook . It's not complete it will take a couple weeks I think. Sorry :(
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Arianna Basha
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4 years ago | 677.169 | 1 |
"AP® Calculus AB","In AP Calculus AB, students learn to understand change geometrically and visually (by studying graphs of curves), analytically (by studying and working with mathematical formulas), numerically (by seeing patterns in sets of numbers), and verbally. Instead of simply getting the right answer, students learn to evaluate the soundness of proposed solutions and to apply mathematical reasoning to real-world models. Calculus helps scientists, engineers, and financial analysts understand the complex relationships behind real-world phenomena. The equivalent of an introductory college-level calculus course, AP Calculus AB prepares students for the AP exam and further studies in science, engineering, and mathematics243/AP®-Calculus-AB"
"AP® Statistics","AP Statistics gives students hands-on experience collecting, analyzing, graphing, and interpreting real-world data. They will learn to effectively design and analyze research studies by reviewing and evaluating real research examples taken from daily life. The next time they hear the results of a poll or study, they will know whether the results are valid. As the art of drawing conclusions from imperfect data and the science of real-world uncertainties, statistics plays an important role in many fields. The equivalent of an introductory college-level course, AP Statistics prepares students for the AP exam and for further study in science, sociology, medicine, engineering, political science, geography, and business.This course has been authorized by the College Board187/AP®-Statistics"
"Introductory Algebra","Introductory Algebra provides a curriculum focused on foundational concepts that prepare students for success in Algebra I. Through a "Discovery-Confirmation-Practice"-based exploration of basic concepts, students are challenged to work toward a mastery of computational skills, to deepen their understanding of key ideas and solution strategies, and to extend their knowledge through a variety of problem-solving applications.Course topics include integers; the language of algebra; solving equations with addition, subtraction, multiplication, and division; fractions and decimals; measurement; exponents; solving equations with roots and powers; multi-step equations; and linear equations.Within each Introductory Algebra lesson, students are supplied with a scaffolded note-taking guide, called a Study Sheet, as well as a post-study Checkup activity that provides them the opportunity to hone their computational skills by working through a low-stakes, 10-question problem set before starting formal assessment. Unit-level Introductory Algebra assessments include a computer-scored test and a scaffolded, teacher-scored test.To assist students for whom language presents a barrier to learning or who are not reading at grade level, Introductory Algebra includes audio resources in both Spanish and English206/Introductory-Algebra"
"Al486/Algebra-I"
"Ge489/Geometry"
"Al reasoning490/Algebra-II"
"Algebra I Common Core424/Algebra-I-Common-Core"
"Geometry Common Core425/Geometry-Common-Core"
"Algebra II Common Core426/Algebra-II-Common-Core"
"Mathematics I493/Mathematics-I"
"Mathematics II reason494/Mathematics-II"
"Mathematics III492/Mathematics-III"
"Mathematics I Common Core427/Mathematics-I-Common-Core"
"Mathematics II Common Core428/Mathematics-II-Common-Core"
"Mathematics III Common Core429/Mathematics-III-Common-Core"
"Florida Algebra I","Florida Algebra I focuses on the understanding of key algebraic topics and the mastery of critical reasoning skills. It is aligned with Florida's Next Generation Sunshine State Standards and prepares students for Florida's end-of-course assessment for Algebra I. Through a "Discovery-Confirmation-Practice"-based exploration of algebraic concepts, students are challenged to work toward a mastery of computational skills, to deepen their conceptual understanding of key ideas and solution strategies, and to extend their knowledge in a variety of problem-solving applications. Course topics include algebraic expressions and equations; problem solving with functions; graphing; linear equations and inequalities; polynomials; radical expressions and equations; rational expressions and functions; and matrices.Florida Algebra I features ample opportunity for students to hone their computational skills by working through practice problem sets before moving on to formal assessment. Throughout the course, diagnostic assessments help students to quickly identify areas of weakness and improve performance while summative assessments chart progress and skill development.The content is specifically aligned with Florida's Next Generation Sunshine State Standards and Benchmarks.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/345/Florida-Algebra-I"
"Florida Algebra I-A","Florida's Algebra I-A and I-B courses address the need for an expanded, two-year treatment of traditional high school Algebra I curriculum. Focusing on review of pre-algebra skills and introductory algebra content, Algebra I-A allows students to deepen their understanding of real numbers in their various forms and then extend their knowledge to linear equations in one and two variables. Course topics include problem solving; integers; the language of algebra; fractions and decimals; exponents; solving equations with four basic operations; solving equations with roots, powers, or multiple steps; functions; introduction to set theory; and linear equations.Algebra I-A features ample opportunity for students to hone their computational skills by working through practice problem sets before moving on to formal assessment.To assist students for whom language presents a barrier to learning or who are not reading at grade level, Algebra I-A includes audio resources in both Spanish and English.Algebra I-A meets Florida's Next Generation Sunshine State Standards and Benchmarks.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/144/Florida-Algebra-I-A"
"Florida Algebra I-B","Florida's Algebra I-A and I-B courses address the need for an expanded, two-year treatment of traditional high school Algebra I curriculum. Algebra I-B course topics include a review of introductory algebra; graphing data; linear equations; systems of linear equations; polynomials; factoring of polynomials; factoring of quadratic functions; rational expressions; and radical expressions.Algebra I-B features ample opportunity for students to hone their computational skills by working through practice problem sets before moving on to formal assessment.To assist students for whom language presents a barrier to learning or who are not reading at grade level, Algebra I-B includes audio resources in both Spanish and English.Algebra I-B meets Florida's Next Generation Sunshine State Standards and Benchmarks.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/145/Florida-Algebra-I-B"
"Florida Math for College Readiness","Florida Math for College Readiness provides a fourth-year math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness in math. This full-year course is aligned with Florida's Postsecondary Readiness Competencies in mathematics and targets students who are required to complete additional instruction based on their performance on the Postsecondary Education Readiness Test (PERT).Course topics include solving equations with addition, subtraction, multiplication and division; fractions and decimals; inequalities; functions and sequences; systems of equations; polynomials; factoring quadratic equations the Florida Postsecondary Readiness Competencies.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/343/Florida-Math-for-College-Readiness"
"Florida Math for College Success","Florida Math for College Success provides a math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness in math. This single-semester elective is aligned with Florida's Postsecondary Readiness Competencies in mathematics and targets students who are required to complete additional instruction based on their performance on the Postsecondary Education Readiness Test (PERT).Course topics include a review of algebra concepts; functions and sequences; systems of equations; polynomials; factoring quadratic expressions Florida Postsecondary Readiness Competencies.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/346/Florida-Math-for-College-Success"
"Georgia Coordinate Algebra","Coordinate Algebra deepens and extends students' command of linear and exponential relationships as well as geometric concepts and skills. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations. Course topics include modeling relationships between quantities; linear and exponential relationships; reasoning with equations; descriptive statistics; congruence and transformations; and connecting algebra and geometry through coordinates380/Georgia-Coordinate-Algebra"
"Georgia Analytic Geometry","Analytic Geometry extends students' geometric knowledge and introduces them to quadratic expressions, equations, and functions, and helps them explore the relationship between these and their linear and exponential counterparts. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations. Course topics include extending the number system; quadratic functions and modeling; expressions and equations; applications of probability; similarity, right triangle trigonometry, and proofs; and circles with and without coordinates.This course supports all students as they simultaneously develop computational fluency, deepen conceptual understanding, and apply the eight Mathematical Practice Standards. Students begin each lesson by discovering new concepts through guided instruction, and they then confirm their understanding in an interactive462/Georgia-Analytic-Geometry"
"Georgia Advanced Algebra","Advanced Algebra incorporates advanced functions, trigonometry, and probability and statistics as students synthesize their prior knowledge in order to solve increasingly challenging problems. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations. Course topics include formulating inferences and conclusions from data; polynomial, rational, and radical relationships; trigonometry of general triangles; and mathematical modeling465/Georgia-Advanced-Algebra"
"North Carolina Math I (2016)","Math I builds students' command of linear, quadratic, geometric, and exponential relationships, as well as statistics and modeling and functions; descriptive statistics; polynomials and factoring; quadratic equations and functions; coordinate geometry; and three-dimensional solids473/North-Carolina-Math-I-(2016)"
"North Carolina Math II (2016)","Math II extends students' algebraic and geometric knowledge of functional relationships, geometric modeling, and probability and statistics. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.Course topics include polynomials; congruence and similarity of figures; trigonometry with triangles; modeling with geometry; probability; making inferences; and justifying conclusions474/North-Carolina-Math-II-(2016)"
"North Carolina Math III (2016)","Math the complex number system; inverse functions; polynomial, rational, and radical relationships; trigonometric functions; the unit circle; circles; conics; formulating inferences and conclusions from data; and mathematical modeling475/North-Carolina-Math-III-(2016)"
"North Carolina Advanced Functions and Modeling","Advanced Functions and Modeling incorporates functions, statistics and probability as students synthesize their prior knowledge and solve challenging real-world problems. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.The first semester focuses on functions — exponential, logarithmic, and trigonometric — as well as sequences and series. The second semester focuses on statistics and probability. Students will study statistical analysis of univariate data, data gathering, bivariate data and regression, probability applications, counting principles, permutations and combinations, as well as distributions. Students will deepen conceptual understanding on these topics while exploring real-world applications. Throughout the course, students are evaluated through a diversity of assessments which will prepare students for state-level final exams.This course is aligned with the North Carolina standards for Advanced Functions and Modeling.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/566/North-Carolina-Advanced-Functions-and-Modeling"
"South Carolina Al, polynomials and factoring; quadratic equations and functions; transformations of functions and bivariate data Algebra I standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/476/South-Carolina-Algebra-I"
"South Carolina Ge descriptive statistics Geometry standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/477/South-Carolina-Geometry"
"South Carolina Al functions and transformations, quadratic and polynomial functions; rational expressions and functions; radical expressions and functions; sequences and functions; exponential functions; and modeling with Algebra II standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/478/South-Carolina-Algebra-II"
"South Carolina Foundations in Algebra ","Foundations in Algebra quadratic equations and functions; transformations of functions, bivariate data, Foundations in Algebra standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/570/South-Carolina-Foundations-in-Algebra-"
"South Carolina Intermediate Algebra","Intermediate Algebra builds students' command of linear, quadratic, polynomial, and exponential relationships. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.Course topics include problem solving with basic equations and formulas; functions and problem solving; exponents and exponential functions; sequences, polynomials and factoring; quadratic equations and functions; and transformations of.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/568/South-Carolina-Intermediate-Algebra"
"Texas Algebra I","Algebra I curriculum focuses on the mastery of critical skills and the recognition and understanding of key algebraic concepts solving equations and inequalities; linear, exponential, and quadratic functions; transformations of functions; systems of linear equations; sequences, polynomials and factoring; bivariate data and regression I Standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/680/Texas-Algebra-I"
"Texas Geometry","Geometry provides a curriculum focused on the mastery of critical skills and the understanding of key geometric concepts. Through a "Discovery-Confirmation-Practice"-based exploration of these concepts, students are challenged to work toward a mastery of computational skills, to deepen their understanding of key ideas and solution strategies, and to extend their knowledge through a variety of problem-solving applications.Course topics include reasoning, proof, and the creation of a sound mathematical argument; points, lines, and angles; triangles and right triangles; quadrilaterals and other polygons; circles; coordinate geometry; and three-dimensional solids. The course also includes a look at special topics in geometry, such as constructions, transformations, symmetry and non-Euclidean geometry. The course concludes with geometric models related to probability and statistics Geometry Standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/334/Texas-Geometry"
"Texas Algebra II","The Algebra II curriculum builds on the concepts covered in Algebra I. Through a "Discovery-Confirmation-Practice"-based exploration of intermediate algebra, students are challenged to work toward a mastery of computational skills, to deepen their understanding of key ideas and solution strategies, and to extend their knowledge through a variety of problem-solving applications.Course topics include systems of linear equations and inequalities, functions, relations, and their graphs; quadratic functions; parent functions, domain and range, inverse functions, composition of functions, and function transformations; and advanced polynomial functions. Students also cover topics relating to rational, radical, exponential, and logarithmic functions and their transformations; and data analysis II Standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/275/Texas-Algebra-II"
"Texas Mathematical Models with Applications","Mathematical Models with Applications focuses on the application of algebraic, geometric, statistics and probability concepts to real world experiences in personal finance, science, art and social science applying mathematics to personal finance topics such as income and budgeting, tax and interest, credit, loans, insurance, and retirement. Students will use exponential functions to model growth and decay, quadratic functions to model motion, and use trigonometry to model harmonic motion. Students will apply geometric concepts such as similarity and transformations, statistics and experimental design, and probability and counting principles to a variety of situations. This course supports all students as they develop computational fluency, deepen conceptual understanding, and apply mathematical process standards. Throughout the course, students are equipped with tools for analyzing a variety of real-world scenarios and mathematical ideas and are asked to solve and communicate mathematics effectively.The content is specifically aligned with the 2012 TEKS Mathematical Models with Applications Standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/600/Texas-Mathematical-Models-with-Applications"
"Precalculus - Core","Precalculus is a course that combines reviews of algebra, geometry, and functions into a preparatory course for calculus. The course focuses on the mastery of critical skills and exposure to new skills necessary for by working through a low-stakes problem set before moving on to formal assessment. Unit-level Precalculus assessments include a computer-scored test and a scaffolded, teacher-scored test136/Precalculus"
"Precalculus - Honors","Precalculus is a comprehensive course that weaves together previous study of algebra, geometry, and functions into a preparatory course for calculus. The course focuses on the mastery of critical skills and exposure to new skills necessary for in a low-stakes problem set before moving on to formal assessment. Additionally, connections are made throughout the Precalculus course to calculus, art, history, and a variety of other fields related to mathematics221/Precalculus"
"Financial Literacy","Financial Literacy helps students recognize and develop vital skills that connect life and career goals with personalized strategies and milestone-based action plans. Students explore concepts and work toward a mastery of personal finance skills, deepening their understanding of key ideas and extending their knowledge through a variety of problem-solving applications.Course topics include career planning; income, taxation, and budgeting; savings accounts, checking accounts, and electronic banking; interest, investments, and stocks; cash, debit, credit, and credit scores; insurance; and consumer advice on how to buy, rent, or lease a car or house.These topics are solidly supported by writing and discussion activities. Journal activities provide opportunities for students to both apply concepts on a personal scale and analyze scenarios from a third-party perspective. Discussions help students network with one another by sharing personal strategies and goals and recognizing the diversity of life and career plans within a group.To assist students for whom language presents a barrier to learning or who are not reading at grade level, Financial Literacy includes audio resources in English.This course is aligned with state standards as they apply to Financial Literacy283/Financial-Literacy"
"Liberal Arts Mathematics 1","Liberal Arts Mathematics 1 addresses the need for an elective course that focuses on reinforcing, deepening, and extending a student's mathematical understanding. Liberal Arts Mathematics 1 starts with a review of problem-solving skills before moving on to a variety of key algebraic, geometric, and statistical concepts. Throughout the course, students hone their computational skills and extend their knowledge through problem solving and real-world applications.Course topics include problem solving; real numbers and operations; functions and graphing; systems of linear equations; polynomials and factoring; geometric concepts such as coordinate geometry and properties of geometric shapes; and descriptive statistics.Within each Liberal Arts Mathematics 1 lesson, students are supplied with a scaffolded note-taking guide, called a Study Sheet, and are given ample opportunity to practice computations in low-stakes Checkup activities before moving on to formal assessment. Additionally, students will have the opportunity to formulate and justify conclusions as they extend and apply concepts through printable exercises and "in-your-own-words" interactive activities.To assist students for whom language presents a barrier to learning or who are not reading at grade level, Liberal Arts Mathematics 1 includes audio resources in English.This course is aligned with Florida's Next Generation Sunshine State Standards and Benchmarks.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/333/Liberal-Arts-Mathematics-1"
"Mathematics of Personal Finance","Mathematics of Personal Finance focuses on real-world financial literacy, personal finance, and business subjects. Students apply what they learned in Algebra I and Geometry to topics including personal income, taxes, checking and savings accounts, credit, loans and payments, car leasing and purchasing, home mortgages, stocks, insurance, and retirement planning.Students then extend their investigations using more advanced mathematics, such as systems of equations (when studying cost and profit issues) and exponential functions (when calculating interest problems). To assist students for whom language presents a barrier to learning or who are not reading at grade level, Mathematics of Personal Finance includes audio resources in both Spanish and English.This course is aligned with state standards as they apply to Mathematics of Personal Finance254/Mathematics-of-Personal-Finance"
"Probability and Statistics","Probability and Statistics provides a curriculum focused on understanding key data analysis and probabilistic concepts, calculations, and relevance to real-world applications. Through a "Discovery-Confirmation-Practice"-based exploration of each concept, students are challenged to work toward a mastery of computational skills, deepen their understanding of key ideas and solution strategies, and extend their knowledge through a variety of problem-solving applications.Course topics include types of data; common methods used to collect data; and the various representations of data, including histograms, bar graphs, box plots, and scatterplots. Students learn to work with data by analyzing and employing methods of prediction, specifically involving samples and populations, distributions, summary statistics, regression analysis, transformations, simulations, and inference.Ideas involving probability — including sample space, empirical and theoretical probability, expected value, and independent and compound events — are covered as students explore the relationship between probability and data analysis. The basic connection between geometry and probability is also explored.To assist students for whom language presents a barrier to learning or who are not reading at grade level, Probability and Statistics includes audio resources in English.The content is based on the National Council of Teachers of Mathematics (NCTM) standards and is aligned with state standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/285/Probability-and-Statistics"
"North Carolina Math 3","Math III incorporates advanced functions, trigonometry, geometry, and statistical analysis as students synthesize their prior knowledge and solve increasingly challenging problems. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.Course topics include inverse functions and graphs; polynomial functions, rational, and logarithmic relationships; trigonometric functions; the unit circle; circles; quadrilaterals; polygons; and three-dimensional solids678/North-Carolina-Math-3"
"North Carolina Math 2","Math II extends students' algebraic and geometric knowledge of functional relationships, geometric modeling, proofs, and probability. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.Course topics include polynomial, rational, and radical relationships, transformation of functions; trigonometry with triangles; proofs; constructions and transformations; and probability679/North-Carolina-Math-2"
"Math Foundations I","Math Foundations I offers a structured remediation solution based on the NCTM Curricular Focal Points and is designed to expedite student progress in acquiring 3rd- to 5th-grade skills. The course is appropriate for use as remediation for students in grades 6 to 12. When used in combination, Math Foundations I and Math Foundations II (covering grades 6 to 8) effectively remediate computational skills and conceptual understanding needed to undertake high school–level math courses with confidence.Math Foundations I empowers students to progress at their optimum pace through over 80 semester hours of interactive instruction and assessment spanning 3rd- to 5th-grade math skills. Carefully149/Math-Foundations-I"
"Math Foundations II","150/Math-Foundations-II"
"AP® Biology","AP Biology builds students' understanding of biology on both the micro and macro scales. After studying cell biology, students move on to understand how evolution drives the diversity and unity of life. Students will examine how living systems store, retrieve, transmit, and respond to information and how organisms utilize free energy. The equivalent of an introductory college-level biology course, AP Biology prepares students for the AP exam and for further study in science, health sciences, or engineering.The AP Biology sources, allowing them to practice the critical reading and analysis skills that they will need in order to pass the AP exam and succeed in a college biology course. Students perform hands-on labs that give them insight into the nature of science and help them understand biological and regular active learning opportunities ensure that students can achieve mastery of the skills necessary to excel on the AP exam. This course has been authorized by the College Board® to use the AP designation.*Advanced Placement® and AP® are registered364/AP®-Biology"
"AP® Chemistry ","AP Chemistry builds students' understanding of the nature and reactivity of matter. After studying chemical reactions and electrochemistry, students move on to understand how the chemical and physical properties of materials can be explained by the structure and arrangements of the molecules and the forces between those molecules. Students will examine the laws of thermodynamics, molecular collisions, and the reorganization of matter in order to understand how changes in matter take place. Finally, students will explore chemical equilibria, including acid-base equilibria. The equivalent of an introductory college-level chemistry course, AP Chemistry prepares students for the AP exam and for further study in science, health sciences, or engineering.The AP Chemistry source materials, allowing them to practice the critical reading and analysis skills that they will need in order to pass the AP exam and succeed in a college chemistry course. Students perform hands-on labs that give them insight into the nature of science and help them understand chemical189/AP®-Chemistry-"
"AP® Psychology","AP Psychology provides an overview of current psychological research methods and theories. Students will explore the therapies used by professional counselors and clinical psychologists and examine the reasons for normal human reactions: how people learn and think, the process of human development and human aggression, altruism, intimacy, and self-reflection. They will study core psychological concepts, such as the brain and sense functions, and learn to gauge human reactions, gather information, and form meaningful syntheses. Along the way, students will also investigate relevant concepts like study skills and information retention. The equivalent of an introductory college-level survey course, AP Psychology prepares students for the AP exam and for further studies in psychology or life sciences191/AP®-Psychology"
"AP® Environmental Science","AP* Environmental Science provides students with the scientific principles, concepts, and methodologies required to understand the interrelationships of the natural world. The course draws upon various disciplines, including geology, biology, environmental studies, environmental science, chemistry, and geography in order to explore a variety of environmental topics. Topics explored include natural systems on Earth; biogeochemical cycles; the nature of matter and energy; the flow of matter and energy through living systems; populations; communities; ecosystems; ecological pyramids; renewable and nonrenewable resources; land use; biodiversity; pollution; conservation; sustainability; and human impacts on the environment. The equivalent of an introductory college-level science course, AP Environmental Science prepares students for the AP exam and for further study in science, health sciences, or engineering.The AP Environmental Science course provides a learning experience focused on allowing students to develop their critical thinking skills and cognitive strategies. Scientific inquiry skills are embedded in the direct instruction, wherein students learn to ask scientific questions, deconstruct claims, form and test hypotheses, and use logic and evidence to draw conclusions about the concepts. Frequent no- and low-stakes assessments allow students to measure their comprehension and improve their performance as they progress through each activity. Students perform hands-on labs and projects that give them insight into the nature of science and help them understand environmental concepts, as well as how evidence can be obtained to support those concepts. Virtual lab activities enable students to engage in investigations that would otherwise require long periods of observation at remote locations and to explore simulations that enable environmental scientists to test predictions. During both hands-on and virtual labs, students form hypotheses; collect, analyze, and manipulate data; and report their findings and conclusions. Throughout this course, students are given an opportunity to understand how biology, earth science, and physical science are applied to the study of the environment and how technology and engineering are contributing solutions for studying and creating a sustainable biosphere.Sum580/AP®-Environmental-Science"
"Texas Biology","Texas Biology is specifically aligned with the Texas Essential Knowledge and Skills (TEKS) Biology Standards and Benchmarks. The course focuses on mastery of basic biological concepts and models while building scientific inquiry skills and exploring the connections between living things and their environment.The course begins with an introduction to the nature of science and biology, including the major themes of structure and function, matter and energy skills and help students develop a deeper understanding of the nature of science.The content is specifically aligned with the TEKS Biology Standards and Benchmarks.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/336/Texas-Biology"
"Texas Chemistry","Texas Chemistry is specifically aligned with the Texas Essential Knowledge and Skills (TEKS) Chemistry Standards and Benchmarks. The course aligned with the TEKS Chemistry Standards and Benchmarks. ","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/417/Texas-Chemistry"
"Texas Physics","Texas Physics is specifically aligned with the Texas Essential Knowledge and Skills (TEKS) Physics Standards and Benchmarks. The course kinetics the course, students are given the opportunity to understand how physics concepts are applied in technology and engineering. Journal and Practice activities provide additional opportunities for students to apply learned concepts and practice their writing.The content is specifically aligned with the TEKS Physics Standards and Benchmarks. ","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/418/Texas-Physics"
"Texas Integrated Physics and Chemistry","Integrated Physics and Chemistry specifically aligned to the Texas Essential Knowledge and Skills (TEKS) Integrated Physics and Chemistry Standards and Benchmarks.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/459/Texas-Integrated-Physics-and-Chemistry"
"Earth Science - Core","Earth Science offers a focused curriculum that explores Earth's composition, structure, processes, and history; its atmosphere, freshwater, and oceans; and its environment in space Optional teacher-scored labs encourage students to apply the scientific method157/Earth Science"
"Earth Science - Honors","Earth Science is a robust course that explores Earth's composition, structure, processes, and history; its atmosphere, freshwater, and oceans; and its environment in space. Students are encouraged to look at Earth science from both personal and worldly perspectives and to analyze the societal implications of the topics covered. Laboratory experiments introduce students to different lab techniques while building their skills in critical thinking, inquiry, and observation222/Earth Science"
"Physical Science - Core","Physical Science offers a focused curriculum designed around the understanding of critical physical science concepts, including the nature and structure of matter, the characteristics of energy, and the mastery of critical scientific skills Teacher-scored labs encourage students to apply the scientific method158/Physical Science"
"Physical Science - Honors","Physical Science is a thorough course that provides students with an understanding of the nature and structure of matter, the characteristics of energy, and the societal implications of physical science concepts. Using the scientific method — observation, data collection, analysis, hypothesis, and conclusion — students are encouraged to extend their knowledge through the development of scientific explanations, hypotheses, and conclusions223/Physical Science"
"Biology - Core","Biology focuses on the mastery of basic biological concepts and models while building scientific inquiry skills and exploring the connections between living things and their environment257/Biology"
"Biology - Honors","Biology is an in-depth course that furthers mastery of scientific skills, fosters a deep understanding of key concepts, and promotes the application of the scientific method to biological topicsLab activities reinforce critical thinking, writing, and communication skills and help students develop a deeper understanding of the nature of science.Biology students are frequently asked to respond to scientific problems and issues via written assignments. Moreover, Exploration activities challenge Honors students to deconstruct scientific claims, analyze scientific articles, and suggest follow-up experiments or topics for further research270/Biology"
"Chemistry - Core280/Chemistry"
"Chemistry - Honors Exploration281/Chemistry"
"Physics - Core330/Physics"
"Physics - Honors math to apply learned concepts and practice their writing skills.Exploration331/Physics"
"Psychology","Psychology provides a solid overview of the field's major domains: methods, biopsychology, cognitive and developmental psychology, and variations in individual and group behavior.By focusing on significant scientific research and on the questions that are most important to psychologists, students see psychology as an evolving science. Each topic clusters around challenge questions, such as "What is happiness?" Students answer these questions before, during, and after they interact with direct instruction.The content is based on the American Psychological Association's National Standards for High School Psychology Curricula. The teaching methods draw from the National Science Teachers Association (NSTA) teaching standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/255/Psychology"
"Virginia Ecology","This course focuses on ecology which is the branch of biology that deals with interactions between organisms and their environments. This course covers ecosystems dynamics, as well as the basic principles of earth science. Students will also study the effects of human activities on ecosystems, including the release of pollution, solid waste management, resource management, and energy conservation. Emphasis is placed on how individuals can help to conserve Earth's environments for current and future generations.This course is aligned with Virginia's standards for ecology.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/541/Virginia-Ecology"
"Environmental Science","Environmental Science state standards and the NGSS standards for life science, earth science, physical science, and engineering, technology, and society.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/576/Environmental-Science"
"Texas Environmental Systems","Environmental Systems the Texas TEKS Environmental Systems standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/578/Texas-Environmental-Systems"
"Florida Biology","Florida Biology focuses on the mastery of basic biological concepts and models while building scientific inquiry skills and exploring the connections between living things and their environment. It is aligned with Florida's Next Generation Sunshine State Standards and prepares students for Florida's end-of-course assessment for Biology specifically aligned with Florida's Next Generation Sunshine State Standards and Benchmarks.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/450/Florida-Biology"
"Indiana Integrated Chemistry and Physics","Integrated Chemistry and Physics aligned to the Indiana Academic Standards for Integrated Chemistry and Physics.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/662/Indiana-Integrated-Chemistry-and-Physics"
"Science Foundations","Science Foundations provides students with opportunities to develop the knowledge, skills, and strategies necessary for success in rigorous high school science courses. The course is appropriate for use as remediation at the high school level or as a bridge to high school.Science Foundations is a two-semester course, with each semester containing 10 mini-units. Each mini-unit is composed of three lessons. The first lesson focuses on key concepts found in Earth science, physical science, and life science. The second lesson reinforces reading and math skills students need to be successful with the content introduced in the first lesson. The third lesson introduces scientific inquiry and critical thinking skills that will help students thrive in science as well as other disciplines. Carefully paced, guided instruction is accompanied by engaging and accessible interactive practice. Checkup activities provide an opportunity to review content prior to assessment. Practice activities offer an opportunity to apply concepts that were presented in Study activities.The course is based on the National Science Education Standards (NSES) for middle school science. ","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/287/Science-Foundations"
"AP® English Language and Composition","In AP English Language and Composition, students investigate rhetoric and its impact on culture through analysis of notable fiction and nonfiction texts, from pamphlets to speeches to personal essays. The equivalent of an introductory college-level survey class, this course prepares students for the AP exam and for further study in communications, creative writing, journalism, literature, and composition.Students explore a variety of textual forms, styles, and genres. By examining all texts through a rhetorical lens, students become skilled readers and analytical thinkers. Focusing specifically on language, purpose, and audience gives them a broad view of the effect of text and its cultural role. Students write expository and narrative texts to hone the effectiveness of their own use of language, and they develop varied, informed arguments through research. Throughout the course, students are evaluated with assessments specifically designed to prepare them for the content, form, and depth of the AP Exam.AP English Language and Composition is recommended for 11th and 12th grade students. This course fulfills 11th grade requirements. Consequently, we recommend that students take only one of the following courses: English 11, Texas English III, and AP English Language and Composition472/AP®-English-Language-and-Composition"
"AP® English Literature and Composition","AP English Literature and Composition immerses students in novels, plays, poems, and short stories from various periods. Students will read and write daily, using a variety of multimedia and interactive activities, interpretive writing assignments, and class discussions to assess and improve their skills and knowledge. The course places special emphasis on reading comprehension, structural and critical analysis of written works, literary vocabulary, and recognizing and understanding literary devices. The equivalent of an introductory college-level survey class, this course prepares students for the AP exam and for further study in creative writing, communications, journalism, literature, and composition185/AP®-English-Literature-and-Composition"
"Texas English I (2016)","English I introduces students to informational and literary genres and is specifically aligned to the Texas Essential Knowledge and Skills (TEKS) for English I. In the course, students investigate the elements of nonfiction and literature through the critical analysis of texts that range from essays, speeches, articles and historical documents to a novel, a play, poetry and short stories. As they develop their writing skills and respond to theses, students learn to formulate arguments and use textual evidence to support their position. Throughout the course, students learn to engage with a variety of media types through which they process and synthesize information, discuss material, create presentations, and share their work. English I persuasive and explanatory styles. Throughout the course students are evaluated through a diversity of assessments designed to prepare them for the content, form, and depth of the English I STAAR. This course is aligned with the TEKS English I Standards and Benchmarks. ","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/335/Texas-English-I-(2016)"
"Texas English II (2016)","English II builds upon students' foundation of critical reading and analytical writing skills. Through texts that range from investigative journalism, essays, articles, and historical documents to a novel, drama, poetry, and short stories, students analyze the use of elements in literature and nonfiction. As they develop their writing skills and respond to theses, students learn to refine arguments and organize evidence to support their position. To hone their listening and speaking skills, students engage with a variety of media types through which they analyze and synthesize information, discuss material, create presentations, and share their work.English II and essays or presentations, learning to communicate clearly and credibly in narrative, persuasive, and explanatory styles.This course is aligned with the TEKS English II Standards and Benchmarks.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/414/Texas-English-II-(2016)"
"Texas English III (2016)415/Texas-English-III-(2016)"
"English 9 Common422/English-9-Common-Core"
"English 10 Common423/English-10-Common-Core"
"English 11 Common430/English-11-Common-Core"
"Florida English IV: College Prep","Florida English IV: College Prep provides a fourth-year English curriculum focusing on developing the mastery of skills identified as critical to postsecondary readiness in reading and writing. This full-year course aligns to Florida's Postsecondary Readiness Competencies in reading and writing persuasive, informative and narrative writing; and research.Robust scaffolding in the form of process guides and graphic organizers helps reluctant writers to internalize strategies and develop composition skills. Select activities target text-handling skills and promote improved performance on commonly assessed literary analysis and response standards. Study sheets support engagement with direct instruction and develop note-taking and study skills.The content is specifically aligned to Florida Postsecondary Readiness Competencies. ","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/342/Florida-English-IV:-College-Prep"
"Florida Reading for College Success","Florida Reading for College Success provides an English curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness in reading. This single semester elective aligns to Florida's Postsecondary Readiness Competencies in reading and research.Select activities target text-handling skills and promote improved performance on commonly assessed literary analysis and response standards. Study sheets support engagement with direct instruction and develop note-taking and study skills.The content is specifically aligned to Florida Postsecondary Readiness Competencies.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/347/Florida-Reading-for-College-Success"
"Florida Writing for College Success","Florida Writing for College Success provides an English curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness in writing. This single semester elective aligns to Florida's Postsecondary Readiness Competencies in writing and targets students required to complete additional instruction based on their performance on the Postsecondary Education Readiness Test (PERT). Course topics include grammar and usage; essential writing skills; persuasive, informative and narrative writing; and research.Robust scaffolding in the form of process guides and graphic organizers helps reluctant writers internalize strategies and develop composition skills. Select activities target text-handling skills and promote improved performance on commonly assessed analysis and response standards. Study sheets support engagement with direct instruction and develop note-taking and study skills.The content is specifically aligned to the Florida Postsecondary Readiness Competencies.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/348/Florida-Writing-for-College-Success"
"English 12 Common431/English-12-Common-Core"
"Reading Skills and Strategies","Reading Skills and Strategies is a course is designed to help the struggling reader develop mastery in the areas of reading comprehension, vocabulary building, study skills, and media literacy, which are the course's primary content strands. Using these strands, the course guides the student through the skills necessary to be successful in the academic world and beyond. The reading comprehension strand focuses on introducing the student to the varied purposes of reading (e.g., for entertainment, for information, to complete a task, or to analyze). In the vocabulary strand, the student learns specific strategies for understanding and remembering new vocabulary. In the study skills strand, the student learns effective study and test-taking strategies. In the media literacy strand, the student learns to recognize and evaluate persuasive techniques, purposes, design choices, and effects of media. The course encourages personal enjoyment in reading with 10 interviews featuring the book choices and reading adventures of students and members of the community182/Reading-Skills-and-Strategies"
"Texas English IV (2016)557/Texas-English-IV-(2016)"
"Writing Skills and Strategies","Writing Skills and Strategies develops key language arts skills necessary for high school graduation and success on high stakes exams through a semester of interactive instruction and guided practice in composition fundamentals. The course is divided into ten mini-units of study. The first two are designed to build early success and confidence, orienting students to the writing process and to sentence and paragraph essentials through a series of low-stress, high-interest hook activities. In subsequent units, students review, practice, compose and submit one piece of writing. Four key learning strands are integrated throughout: composition practice, grammar skill building, diction and style awareness, and media and technology exploration. Guided studies emphasize the structure of essential forms of writing encountered in school, in life, and in the work place. Practice in these forms is scaffolded to accommodate learners at different skill levels183/Writing-Skills-and-Strategies"
"Creative Writing","Creative Writing is an English elective course that focuses on the exploration of short fiction and poetry, culminating in a written portfolio that includes one revised short story and three to five polished poems. Students draft, revise, and polish fiction and poetry through writing exercises, developing familiarity with literary terms and facility with the writing process as they study elements of creative writing.Elements of fiction writing explored in this course include attention to specific detail, observation, character development, setting, plot, and point of view. In the poetry units, students learn about the use of sensory details and imagery, figurative language, and sound devices including rhyme, rhythm and alliteration. They also explore poetic forms ranging from found poems and slam poetry to traditional sonnets and villanelles.In addition to applying literary craft elements in guided creative writing exercises, students engage in critical reading activities designed to emphasize the writing craft of a diverse group of authors. Students study short stories by authors such as Bharati Mukherjee and Edgar Allan Poe, learning how to create believable characters and develop setting and plot. Likewise, students read poetry by canonical greats such as W. B. Yeats and Emily Dickinson as well as contemporary writers such as Pablo Neruda, Sherman Alexie, and Alice Notley. Studying the writing technique of a range of authors provides students with models and inspiration as they develop their own voices and refine their understanding of the literary craft.By taking a Creative Writing course, students find new approaches to reading and writing that can affect them on a personal level, as the skills they gain in each lesson directly benefit their own creative goals. Students who are already actively engaged writers and readers learn additional tools and insight into the craft of writing to help them further hone their skills and encourage their creative as well as academic growth.All English elective content is based on the National Council of Teachers of English (NCTE) standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/282/Creative-Writing"
"Media Literacy","Media Literacy teaches students how to build the critical thinking, writing, and reading skills required in a media-rich and increasingly techno-centric world. In a world saturated with media messages, digital environments, and social networking, concepts of literacy must expand to include all forms of media. Today's students need to be able to read, comprehend, analyze, and respond to non-traditional media with the same skill level they engage with traditional print sources.A major topic in Media Literacy is non-traditional media reading skills, including how to approach, analyze, and respond to advertisements, blogs, websites, social media, news media, and wikis. Students also engage in a variety of writing activities in non-traditional media genres, such as blogging and podcast scripting.Students consider their own positions as consumers of media and explore ways to use non-traditional media to become more active and thoughtful citizens. Students learn how to ask critical questions about the intended audience and underlying purpose of media messages, and study factors which can contribute to bias and affect credibility.The course content is based on The National Association for Media Literacy Education's Core Principles of Media Literacy Education, as well as aggregate state standards and research into best pedagogical practices.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/299/Media-Literacy"
"English 9 -522/English 9"
"English 9 - Honors","The English 9 Honors589/English 9"
"English 10 -523/English 10"
"English 10 - Honors","The focus of the English 10 Honors course is the writing process. Three writing applications guide the curriculum: persuasive, expository, and narrative writing. Each lesson culminates in a written assignment that lets students demonstrate their developing skill in one of these applications.English 10 Honors follows the model of English 9 Honors Honors590/English 10"
"English 11 -524/English 11"
"English 11 - Honors","In the English 11 Honors591/English 11"
"English 12 -525/English 12"
"English 12 - Honors","The English 12 Honors592/English 12"
"Texas English III681/Texas-English-III"
"Texas English IV682/Texas-English-IV"
"English Foundations I","English Foundations I supports adolescent literacy development at the critical stage between decoding and making meaning from text. Through intensive reading and writing skills instruction, deep practice sets, consistent formative feedback, graduated reading levels, and helpful strategy tips, the course leads students to improved comprehension and text handling.Semester 1 provides instruction in basic reading skills and vocabulary building. The student learns what a successful reader does to attack words and sentences and make meaning from them. Semester 2 provides instruction in basic writing skills, introduces academic tools, and demonstrates effective study skills. The student learns step-by-step processes for building effective paragraphs and learns how to use academic tools such as reference books and outlines. To provide additional support, the course uses text features and visual clues to draw students' attention to important information. The use of text features is also designed to help students internalize strategies for comprehending informational text.Characters appear throughout the instruction to offer tips and fix-up strategies in an authentic, first-person, think-aloud format. Their inclusion makes transparent the reading processes that go on inside the mind of a successful reader. This extra metacognitive support serves to bolster student confidence and provide a model of process and perseverance.Numerous practice opportunities are provided in the form of assessments that move from no stakes to low stakes to high stakes throughout a unit. This practice is centered on authentic and age-appropriate passages that are written in a topical framework and use controlled syntax and vocabulary. The difficulty of these passages gradually increases from a 3rd- to 5th grade reading level over the duration of the course. Additional support is offered through significant formative feedback in practice and assessment.This course guides students through the reading, writing, and basic academic skills needed to prepare for success in academic coursework. At the end of the course, the student should be poised for continued success in the academic world. The content is based on extensive national and state standards research and consultation with reading specialists and classroom teachers. It aligns to state standards for reading and writing and to NCTE/IRA reading and writing standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/155/English-Foundations-I"
"English Foundations II","English Foundations II offers a year of skill building and strategy development in reading and writing. Semester one is a reading program designed to help struggling readers develop mastery in the areas of reading comprehension, vocabulary building, study skills, and media literacy. Semester two is a writing program which builds confidence in composition fundamentals by focusing on the areas of composing, grammar, style, and media literacy. Both semesters are structured around ten mini-units which offer interactive instruction and guided practice in each of the four learning strands. Students read for a variety of purposes and write for a variety of audiences. The workshops stress high interest, engaging use of technology, relevant topics, and robustly scaffolded practice. Students learn to use different types of graphic organizers as they develop and internalize reading and writing process strategies. They build confidence as they develop skills and experience success on numerous low stakes assessments that encourage growth and reinforce learning.The reading program content is based on the National Council of Teachers of English (NCTE), International Reading Association (IRA), National Reading Program (NRP), and McREL, standards and aligned to state standards. The writing program156/English-Foundations-II"
"AP® Macroeconomics *","AP Macroeconomics students learn why and how the world economy can change from month to month, how to identify trends in our economy, and how to use those trends to develop performance measures and predictors of economic growth or decline. They'll also examine how individuals, institutions, and influences affect people, and how those factors can impact everyone's life through employment rates, government spending, inflation, taxes, and production. The equivalent of a 100-level college-level class, this course prepares students for the AP exam and for further study in business, political science and history.This course has been authorized by the College242/AP®-Macroeconomics-*"
"AP® Microeconomics *","AP Microeconomics studies the behavior of individuals and businesses as they exchange goods and services in the marketplace. Students will learn why the same product costs different amounts at different stores, in different cities, at different times. They'll also learn to spot patterns in economic behavior and how to use those patterns to explain buyer and seller behavior under various conditions. Microeconomics studies the economic way of thinking, understanding the nature and function of markets, the role of scarcity and competition, the influence of factors such as interest rates on business decisions, and the role of government in promoting a healthy economy. The equivalent of a 100-level college course, AP Microeconomics prepares students for the AP exam and for further study in business, history, and political science244/AP®-Microeconomics-*"
"AP® U.S. History","In AP U.S. History, students investigate the development of American economics, politics, and culture through historical analysis grounded in primary sources, research, and writing. The equivalent of an introductory college-level course, AP U.S. History prepares students for the AP exam and for further study in history, political science, economics, sociology, and law.Through the examination of historical themes and the application of historical thinking skills, students learn to connect specific people, places, events, and ideas to the larger trends of U.S. history. Critical-reading activities, feedback-rich instruction, and application-oriented assignments hone students' ability to reason chronologically, to interpret historical sources, and to construct well-supported historical arguments. Students write throughout the course, responding to primary and secondary sources through journal entries, essays, and visual presentations of historical content. In discussion activities, students respond to the positions of others while staking and defending claims of their own. Robust scaffolding, rigorous instruction, relevant material, and regular opportunities for active learning ensure that students can achieve mastery of the skills necessary to excel on the AP exam246/AP®-U.S.-History"
"AP® U.S. Government and Politics","Course materials required. See 'Course Materials' below.AP U.S. Government and Politics studies the operations and structure of the U.S. government and the behavior of the electorate and politicians. Students will gain the analytic perspective necessary to critically evaluate political data, hypotheses, concepts, opinions, and processes. Along the way, they'll learn how to gather data about political behavior and develop their own theoretical analysis of American politics. They'll also build the skills they need to examine general propositions about government and politics, and to analyze the specific relationships between political, social, and economic institutions. The equivalent of an introductory college-level course, AP U.S. Government and Politics prepares students for the AP exam and for further study in political science, law, education, business, and history245/AP®-U.S.-Government-and-Politics"
"Texas World Geography","Texas World Geography is specifically aligned to Texas Essential Knowledge and Skills (TEKS) World Geography Standards and Benchmarks. The course offers a tightly focused and scaffolded curriculum that enables students to explore how geographical features, human relationships, political and social structures, economics, science and technology, and the arts have developed and influenced life in countries around the world. Throughout the course students analyze geographic information such as maps, photographs, and demographic statistics. They also describe and evaluate the influence of globalization. To scaffold their analysis, students are given rigorous instruction on how to read and create maps, charts, and graphs.To structure knowledge in a manner that allows students to think as geographers, the course is organized around the geographic themes of location, place, religion, migration, and human environment interaction. These themes are addressed through the lenses of physical geography, cultural geography, political geography, and globalization and economics.Students are supported in applying their new geography skills through a variety of assignments such as Practices, Journals, and Discussions as they examine issues near to home and worldwide.The content is specifically aligned to TEKS World Geography Standards and Benchmarks.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/337/Texas-World-Geography"
"Texas World History","In Texas of change of human culture, governments, economic systems, and social structures.Students key historical thinking skills.This course is aligned with the TEKS World History Standards and Benchmarks.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/420/Texas-World-History"
"Texas U.S. History","Texas U.S. History traces the nation's history from 1877 to the present. Based on the founding documents of the U.S. government, this course describes the emergence of the United States as an industrial nation, highlighting political, economic, social, and cultural changes, as well as the nation's evolving role in world affairs.The course begins with a review of major turning points in U.S. history and an analysis of the intent, meaning, and importance of the Declaration of Independence, the U.S. Constitution, and the Bill of Rights. Students then examine the attempts to unify the nation following Reconstruction while also exploring the growth of an industrial economy. Moving into the 20th and 21st centuries, the course invites students to for women, African Americans, and other minority groups.The course emphasizes the development of historical thinking skills such as comparing and contrasting, differentiating between facts and interpretations, considering multiple perspectives, analyzing cause-and-effect relationships, and drawing conclusions. These skills are applied to the analysis of primary and secondary sources through direct instruction and written assignments that guide learners step by step through problem-solving activities.The content is specifically aligned to the Texas Essential Knowledge and Skills (TEKS) standards and benchmarks for United States History Studies Since 1877. Unit- and semester-level exams are designed to mirror the types of questions students will see on the State of Texas Assessments of Academic Readiness (STAAR) exam for U.S. History.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/421/Texas-U.S.-History"
"Geography and World Cultures - Core","Geography and World Cultures offers a tightly focused and scaffolded curriculum that enables students to exploreGeography and World Cultures is based on standards from the National Council for History Education (1997), the National Center for History in the Schools (1996), and the National Council for Social Studies (1994) and is aligned to state standards.Geography and World Cultures is designed as the first course in the social studies sequence. It develops note-taking skills, teaches the basic elements of analytic writing, and introduces students to the close examination of primary documents.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/173/Geography and World Cultures"
"Geography and World Cultures - Honors","Geography and World Cultures is a robust, one-semester course that exploresAt the intersection of culture and geography, students learn about art, science, individuals and communities, and history and current events. Students discover how a mountain in the distance can inspire a Sufi poet, how a river blocking a passage occupies a civil engineer and a ship builder alike, and how the sound of a busy Cairo street inspires a musician. Human history is all about cultures meeting — how they influence and inspire each other; what sets one apart from the next; and how they battle each other for land, natural resources, religious dominance, and more.Geography and World Cultures is designed as the first course in the social studies sequence. It develops note-taking skills, teaches analytic writing, and introduces students to the close examination of primary documents226/Geography and World Cultures"
"World History - Core","In and change of human culture, governments, economic systems, and social structures. Students the key historical thinking skills174/World History"
"World History - Honors","World History is a robust, writing-intensive course that uses multiple perspectives to trace the development of civilizations around the world from prehistory to the present. Students are encouraged to use their knowledge of critical points in history to develop their points of view and apply what they have learned to the promotion of civic action in a rapidly globalizing world. The course explores how human-geographic relationships, political and social structures, economics, science and technology, and the arts have developed and influenced life in these civilizations. Students investigate the major religions and belief systems throughout history and learn about the importance of trade and cultural exchange. Other topics include the development of agriculture, the spread of democracy, the rise of nation-states, the industrial era, the spread of imperialism, and the issues and conflicts of the 20th century.World History is designed as the second course in the social studies sequence. Students continue to improve their analytic writing and develop confidence by writing multiple short analytic pieces and longer essays, including document-based questions. Primary documents are embedded in the instruction to encourage students to make frequent connections to evidence from the past227/World History"
"World History to the Renaissance - Core in262/World History to the Renaissance"
"World History to the Renaissance - Honors Primary source documents, which appear frequently, encourage students to make connections to evidence from the past.Students master historical research and writing techniques and develop confidence in their analytic writing through a sequence of five-paragraph essays and analytic pieces, including document-based questions. Additionally, in a series of web explorations, students use carefully selected Internet resources to gather information for creative writing assignments267/World History to the Renaissance"
"World History since the Renaissance (2015)","World History since the Renaissance covers the development of civilizations around the world from the Renaissance to the present.The course covers major themes in world history, including the development and influence of human-geographic relationships, political and social structures, economic systems, major religions and belief systems, the effects of science and technology, the vital role of the arts, and the importance of trade and cultural exchange.Topics covered in this course include the Reformation and its legacy, the Scientific Revolution, European exploration, the Enlightenment, political revolutions, the rise of nation-states, the industrial era, the spread of imperialism, and the issues and conflicts of the 20th and 21st centuries263/World-History-since-the-Renaissance-(2015)"
"U.S. History - Core264/U.S. History"
"U.S. History - Honors269/U.S. History"
"U.S. History to the Civil War - Core assignments260/U.S. History to the Civil War"
"U.S. History to the Civil War - Honors The265/U.S. History to the Civil War"
"U.S. History since the Civil War - Core261/U.S. History since the Civil War"
"U.S. History since the Civil War - Honors266/U.S. History since the Civil War"
"U.S. Government and Politics - Core","In U.S. Government and Politics, students examine the history, principles, and function of the political system established by the U.S. Constitution. Starting with a basic introduction to the role of government in society and the philosophies at the heart of American democracy, this course provides students with the knowledge needed to be informed and empowered participants in the U.S. political system. Through critical reading activities, feedback-rich instruction, and application-oriented assignments, students develop their capacity to conduct research, analyze sources, make arguments, and take informed action. In written assignments, students address critical questions about U.S. politics and the role of individual Americans in the politics and political organizations. In discussion activities, students respond to political opinions, take a position, and defend their own claims. Formative and summative assessments provide students — and teachers — with ample opportunities to check in, review, and evaluate students' progress in the course.This course is aligned to state standards, the College, Career, and Civil Life (C3) Framework for Social Studies State Standards (2013), the National Standard for Civics and Government (1994), and the Common Core State Standards for Literacy in Social Studies.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/161/U.S. Government and Politics"
"U.S. Government and Politics - Honors","U.S. Government and Politics is a vigorous, writing-intensive course that uses the perspective of political institutions to explore the history, organization, and functions of the U.S. government. Students are encouraged to use their knowledge of the structures and processes of governing to develop their own views on current political issues and apply what they have learned to the promotion of civic action. Beginning with basic theories of government, moving to the Declaration of Independence, and continuing to the present day, the course explores the relationship between individual Americans and the governing bodies. It looks closely at the political culture of the country and gains insight into the challenges faced by presidents, congressional representatives, and other political activists. It also covers the roles of political parties, interest groups, the media, and the Supreme Court.U.S. Government and Politics is designed to fall in the fourth year of social studies instruction. Students perfect their analytic writing through a series of analytic assignments and written lesson tests. Students perform frequent close readings of primary documents and apply those documents229/U.S. Government and Politics"
"U.S. and Global Economics - Core","U.S. and Global Economics offers a tightly focused and scaffolded curriculum that provides an introduction to key economic principles. The course171/U.S. and Global Economics"
"U.S. and Global Economics - Honors","U.S. and Global Economics is a wide-ranging course that provides an introduction to key economic principles. Students gain an understanding of choices they must make as producers, consumers, investors, and taxpayers. They have ample opportunity to develop their points of view and apply what they learn to the promotion of civic action. Topics include series of analytic assignments and written lesson tests. They also apply basic mathematics to economic concepts. Students read extensive selections from crucial230/U.S. and Global Economics"
"Florida Economics with Financial Literacy","Florida Economics with Financial Literacy develops students' economic reasoning through an analysis of the U.S. economy, the global economy, and personal finance. The course covers fundamental principles inflation, and the national debt; and a survey of markets in areas such as China, Europe, and the Middle East. The course extends students' understanding of these principles in the context of personal finance, exploring issues such as career planning, budgeting, credit, taxes, investing, insurance, loans, and major purchases.In the course, students hone their analytic writing through a scaffolded series of written assignments. They also apply basic mathematics to economic concepts. Students read selections from annotated primary documents and apply those readings to the course content. Journal activities provide introspective opportunities for students to apply concepts on a personal scale as well as analyze scenarios from a third-party perspective. Discussions help students network with each other by sharing personalized strategies and goals and recognizing the diversity of life and career plans within a group.This course is aligned with Florida's standards for Economics with Financial Literacy.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/488/Florida-Economics-with-Financial-Literacy"
"Multicultural Studies","Multicultural Studies is a one-semester elective history and sociology course that examines the United States as a multicultural nation. The course emphasizes the perspectives of minority groups while allowing students from all backgrounds to better understand and appreciate how race, culture and ethnicity, and identity contribute to their experiences.Major topics in the course include identity, immigration, assimilation and distinctiveness, power and oppression, struggles for rights, regionalism, culture and the media, and the formation of new cultures.In online Discussions and Polls, students reflect critically on their own experiences as well as those of others. Interactive multimedia activities include personal and historical accounts to which students can respond using methods of inquiry from history, sociology, and psychology. Written assignments and Journals provide opportunities for students to practice and develop skills for thinking and communicating about race, culture, ethnicity, and identity.The content and skill focus of this interdisciplinary course is based on the National Council for the Social Studies (NCSS) Expectations of Excellence: Curriculum Standards for Social Studies as well as the National Standards for History published by the National Center for History in Schools (NCHS).","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/286/Multicultural-Studies"
"Sociology","Sociology examines why people think and behave as they do in relationships, groups, institutions, and societies.Major course topics include individual and group identity, social structures and institutions, social change, social stratification, social dynamics in recent and current events, the effects of social change on individuals, and the research methods used by social scientists.In online discussions and polls, students reflect critically on their own experiences and ideas, as well as on the ideas of sociologists. Interactive multimedia activities include personal and historical accounts to which students can respond, using methods of inquiry from sociology. Written assignments provide opportunities to practice and develop skills in thinking and communicating about human relationships, individual and group identity, and all other major course topics.The course content is based on the National Council for the Social Studies (NCSS) Expectations of Excellence: Curriculum Standards for Social Studies.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/298/Sociology"
"North Carolina American History I","This course traces the nation's history from the pre-colonial period to the end of post-Civil War Reconstruction. It emphasizes the colonial period and the creation of a new nation and and Reconstruction511/North-Carolina-American-History-I"
"North Carolina American History II","This course traces the nation's history from the end of the period of Reconstruction to the present. It describes the emergence of the United States as an industrial nation, highlighting social policy as well as its role in modern world affairs.Students evaluate the attempts to bind the nation together after532/North-Carolina-American-History-II"
"North Carolina Civics and Economics","North Carolina Civics and Economics offers a tightly focused and scaffolded curriculum that uses the perspective of political institutions to explore the history, organization, and functions of the U.S. government and provides an introduction to key economic principles. The first semester begins with basic theories of government, moving to the Declaration of Independence, and continuing to the present day, the course explores the relationship between individual Americans and the governing bodies. It covers the political culture of the country and gains insight into the challenges faced by presidents, congressional representatives, and other political activists. It also covers the roles of political parties, interest groups, the media, and the Supreme Court.The second semesterNorth Carolina Civics and College, Career, and Civil Life (C3) Framework for Social Studies State Standards (2013), the National Council for History Education (1997), the National Center for History in the Schools (1996), and the National Council for Social Studies (1994) and is aligned to North Carolina state standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/562/North-Carolina-Civics-and-Economics"
"Modern World History from 1600","In Modern World History from 1600, students study the major turning points that shaped the modern world including the Enlightenment, industrialization, imperialism, nationalism, political revolutions, the world wars, the Cold War, decolonization, and globalization. By presenting content from multiple perspectives and through diverse primary and secondary source materials, this course provides students with a solid foundation in the history of the modern era and584/Modern-World-History-from-1600"
"Modern World History from 1450","In Modern World History from 1450, students study the major turning points that shaped the modern world including the expansion of Islamic and Asian empires, transoceanic exploration, the Atlantic slave trade, the Enlightenment, industrialization, imperialism, nationalism, political revolutions, the world wars, the Cold War, decolonization, and globalization. By presenting content from multiple perspectives and through diverse primary and secondary source materials, this course not only provides students with a solid foundation in the history of the modern era, but it also585/Modern-World-History-from-1450"
"Texas Personal Financial Literacy","Texas Personal Financial Literacy offers targeted instruction, practice, and review designed to help students develop fluency, deepen conceptual understanding, and apply financial literacy skills.In this course, students engage with important skills and concepts such as college and career planning, applying for financial aid, understanding the typical costs of living, creating and maintain a budget, selecting and using checking and savings accounts, and using credit cards for purchases responsibly. They also learn about different types of credit, credit scores, as well as loans and loan payments including the real-world examples of mortgages and home ownership, car ownership, car payments, and car insurance. Finally, students gain knowledge about multiple types of investments such as CDs, bonds, and stocks.These topics are supported by writing and discussion activities. Journal activities provide opportunities for students to both apply concepts on a personal scale and analyze scenarios. Discussions help students network with one another by sharing personal strategies and goals and recognizing the diversity of life and career plans within a group.To assist students for whom language presents a barrier to learning or who are not reading at grade level, Texas Personal Financial Literacy includes audio resources in English.This course was designed to meet the Texas Essential Skills and Knowledge standards for Personal Financial Literacy.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/669/Texas-Personal-Financial-Literacy"
"AP® Spanish Language","AP Spanish Language students practice perfecting their Spanish speaking, listening, reading, and writing skills. They study vocabulary, grammar, and cultural aspects of the language, and then apply what they learn in extensive written and spoken exercises. The course addresses the broad themes of Global Challenges, Science and Technology, Contemporary Life, Personal and Public Identities, Families and Communities, and Beauty and Aesthetics. By the end of the course, students will have an expansive vocabulary, a solid, working knowledge of all verb forms and tenses, strong command of other language structures, and an ability to use language in many different contexts and for varied purposes. The equivalent of a college-level language course, AP Spanish Language prepares students for the AP exam and for further study of Spanish language, culture, or literature271/AP®-Spanish-Language"
"Mandarin Chinese I","Students begin their introduction to Chinese Both Chinese characters and pinyin are presented together throughout the course and specific character practices are introduced after the first quarter355/Mandarin-Chinese-I"
"Mandarin Chinese II","Students continue their study of Chinese Character recognition and practice are a key focus of the course and students are expected to learn several characters each unit. However, pinyin is still presented with characters throughout the course to aid in listening and reading comprehension356/Mandarin-Chinese-II"
"French I - Core","French175/French I"
"French I - Honors","Balanced between the thematic and communicative approaches to learning language, French231/French I"
"French II - Core","French II teaches students to communicate more confidently about themselves, as well as about topics beyond their own lives - both in formal and informal address. Each lesson presents vocabulary, grammar, and culture in context, followed by explanations and exercises. Vocabulary includes terms in cooking, geography, and architecture. Instruction in language structure and grammar includes present- and past-tense verb forms and uses, negation, and direct and indirect objects. Students deepen their knowledge of French-speaking regions and cultures by learning about history, literature, culture, and contemporary issues.The material in this course is presented at a moderate pace.The content is based on the American Council on the Teaching of Foreign Languages (ACTFL) standards. ","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/176/French II"
"French II - Honors","232/French II"
"German I","Students begin their introduction to German German-speaking countries357/German-I"
"German II","Students continue their study of German German-speaking countries, and take frequent assessments where their language progression can be monitored. By semester 2, the course is conducted almost entirely in German358/German-II"
"Latin I","Since mastering a classical language presents different challenges from learning a spoken world language, students learn Latin through ancient, time-honored, classical language approaches which include repetition, parsing, written composition, and listening exercises. These techniques, combined with a modern multimedia approach to learning grammar, syntax, and vocabulary, provide students with a strong foundation for learning Latin. Each unit consists of a new vocabulary theme and grammar concept, reading comprehension activities, writing activities, multimedia culture, history, and mythology presentations, and interactive activities and practices which reinforce vocabulary and grammar. There is a strong emphasis on engaging with authentic classical Latin through weekly encounters with ancient passages from such prestigious authors as Virgil, Ovid, and Lucretius become familiar with359/Latin-I"
"Latin II","Students continue with their study of Latin through ancient, time-honored, classical language approaches which include repetition, parsing, written composition, and listening exercises. These techniques, combined with a modern multimedia approach to learning grammar, syntax, and vocabulary, prepare students for a deeper study of Latin. Each unit consists of a new vocabulary theme and grammar concept, reading comprehension activities, writing activities, multimedia culture, history, and mythology presentations, and interactive activities and practices which reinforce vocabulary and grammar. The emphasis is on reading Latin through engaging with myths from the ancient world which are presented in Latin understand and usecourses/catalog/product-detail/360/Latin-II"
"Spanish I - Core","Spanish I teaches students to greet people, describe family and friends, talk about hobbies, and communicate about other topics, such as home life, occupations structures and uses of present-tense verb forms, imperatives, adjective agreement, impersonal constructions, formal and informal address, and reflexive verbs. Students explore words used in different Spanish-speaking regions and learn about the cultures of Spanish-speaking countries and regions within and outside Europe177/Spanish I"
"Spanish I - Honors","Spanish I covers the five Cs of the ACTFL standard: communication, cultures, connections, comparisons, and communities. The instruction is balanced between the thematic and communicative approaches to learning language. Spanish I students learn to greet people, describe family and friends, talk about hobbies, and communicate about other topics, such as ecology explore words used in different Spanish-speaking regions, and they learn about the cultures of Spanish-speaking countries and regions within and outside Europe. Web explorations give students further insight into the culture and people of the Spanish-speaking world, including the United States.Spanish I233/Spanish I"
"Spanish II - Core","Building on Spanish I concepts, Spanish II students learn to communicate more confidently about themselves, as well as about topics beyond their own lives - both in formal and informal situations. Each lesson presents vocabulary, grammar, and culture in context, followed by explanations and exercises. Students expand their vocabulary in topics such as cooking, ecology, geography, and architecture. Instruction in language structure and grammar includes a review of present-tense verb forms, an introduction to the past tense, the conditional mood, imperatives, impersonal constructions, and reported speech. Students deepen their knowledge of Spanish-speaking regions and cultures by learning about history, literature, culture, and contemporary issues178/Spanish II"
"Spanish II - Honors","Spanish II covers the five Cs of the ACTFL standard: communication, cultures, connections, comparisons, and communities. The instruction is balanced between the thematic and communicative approaches to learning language.Leveraging Spanish I concepts, Spanish II students learn to communicate more confidently about themselves and their hopes and fears, as well as about topics beyond their own lives — both in formal and informal situations. Each lesson presents vocabulary, grammar, and culture in context, followed by explanations and exercises. Students expand their vocabulary in cooking, geography, and architecture. Instruction in language structure and grammar includes verb forms, tenses, moods and uses, impersonal constructions, and reported speech. Students deepen their knowledge of Spanish-speaking regions and cultures by learning about history, literature, culture, and contemporary issues. Students also are encouraged to consult materials outside the course, such as Web links, community resources, or other media, to better understand Spanish-speaking culture and people.Spanish II234/Spanish II"
"Spanish III","In Spanish III, students build upon the skills and knowledge they acquired in Spanish I and II. The course presents new vocabulary and grammatical concepts in context while providing students with ample opportunities to review and expand upon the material they have learned previously.Students read and listen to authentic materials from newspapers, magazines, and television. The content is focused on contemporary and relevant topics such as urbanization and population growth in Latin American countries, global health concerns, jobs of the future, and scientific advancements. The materials engage students as they improve their command of Spanish.Students review the formation and use of regular and irregular verbs in the present and future tenses, as well as the use of reflexive particles and infinitives. They also expand their understanding of noun and adjective agreement, the comparative and superlative degree of adjectives, and the placement and use of direct and indirect objects and pronouns. Students expand their vocabulary through exposure to word roots and families, popular slang, the correct use of words that are often confused for one another, and review of concepts such as proper placement of accents and stress.Presentation of new materials is always followed by several interactive, online exercises, allowing students to master the material as they learn it. Teacher-scored activities provide students with opportunities to use their new Spanish skills both orally and in writing. Discussion activities allow students to interact with their peers in the target language332/Spanish-III"
"Art Appreciation","Art Appreciation is a survey of the history of Western visual arts, with a primary focus on painting. Students begin with an introduction to the basic principles of painting and learn how to critique and compare works of art. Students then explore prehistoric and early Greek and Roman art before they move on to the Middle Ages. Emphasis is placed on the Renaissance and the principles and masters that emerged in Italy and northern Europe. Students continue their art tour with the United States during the 20th century, a time of great innovation as abstract art took center stage. While Western art is the course's primary focus, students will finish the course by studying artistic traditions from Africa, Asia, Oceania, and the Americas.Coverage of each artistic movement highlights historical context and introduces students to key artists that represent a variety of geographic locations. Throughout the course, students apply what they have learned about art critique to analyze and evaluate both individual artists and individual works of art.Art Appreciation is based on national standards developed by the Consortium of National Arts Education Associations, as well as key state standards. It encompasses a variety of skills to enable students to critique, compare, and perhaps influence their own works of art.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/256/Art-Appreciation"
"Music Appreciation","Music Appreciation is a streamlined course that introduces student to the history, theory, and genres of music, from the most primitive surviving examples, through the classical to the most contemporary in the world at large. The course is offered in a two-semester format: The first semester covers primitive musical forms, classical music, and American jazz. The second semester presents the rich modern traditions, including: gospel, folk, soul, blues, Latin rhythms, rock and roll, and hip-hop.The course explores the interface of music and social movements and examines how the emergent global society and the Internet is bringing musical forms together in new ways from all around the world.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/179/Music-Appreciation"
"Health180/Health"
"Health Opportunities through Physical Education (HOPE)","Health Opportunities through Physical Education (HOPE) combines instruction in health and physical education in a full-year, integrated course. It focuses on developing skills, habits and attitudes to maintain a healthy lifestyle and applying lessons learned to physical fitness. Through active participation and real-world simulations, the course aims to demonstrate firsthand the value of conscientious lifestyle management.HOPE lays a foundation for making healthy decisions by building seven skills: accessing valid health information; analyzing internal and external influences; self-management; interpersonal communication; decision-making; goal setting; and advocacy. Students apply these skills to a variety of topics throughout the course, including mental and emotional health, social health, nutrition, physical fitness, substance use and abuse, disease prevention and treatment, and injury prevention and safety. Successful completion of this course will require parent/legal guardian sign-off on student-selected physical activities on weekly participation reports to verify the student is meeting his or her requirements and responsibilities.This course is based on and aligns to the National Health Standards (SHAPE) and the Florida Next Generation Sunshine State Standards for health and physical education.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/351/Health-Opportunities-through-Physical-Education-(HOPE)"
"Health Abstinence573/Health-Abstinence"
"Health Extended574/Health-Extended"
"Physical Education","Physical Education combines the best of online instruction with actual student participation in weekly cardiovascular, aerobic, and muscle toning activities. The course promotes a keen understanding of the value of physical fitness and aims to motivate students to participate in physical activities throughout their lives.Specific areas of study include: Cardiovascular exercise and care, safe exercising, building muscle strength and endurance, injury prevention, fitness skills and FITT benchmarks, goal setting, nutrition and diet (vitamins and minerals, food labels, evaluation product claims), and stress management. The course requires routine participation in adult-supervised physical activities. Successful completion of this course will require parent/legal guardian sign-off on student-selected physical activities and on weekly participation reports to verify the student is meeting his or her requirements and responsibilities.Physical Education is aligned to national and state standards and the Presidential Council on Physical Fitness and Sports. ","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/181/Physical-Education"
"College and Career Preparation I","High school students have many questions about the college application process, what it takes to be a successful college student, and how to begin thinking about their careers. In College and Career Preparation I, students obtain a deeper understanding of what it means to be ready for college. Students are informed about the importance of high school performance in college admissions and how to prepare for college testing. They know the types of schools and degrees they may choose to pursue after high school and gain wide exposure to the financial resources available that make college attainable.Career readiness is also a focus. Students connect the link between interests, college majors, and future careers by analyzing career clusters. Students come away from this course understanding how smart preparation and skill development in high school can lead into expansive career opportunities after they have completed their education and are ready for the working world.Students who complete College and Career Preparation I have the basic skills and foundation of knowledge to progress into College and Career Preparation II, the capstone course that provides hands-on information about the transition from high school to college and career.The course is based on the American School Counselors Association National Standards for school counseling programs.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/300/College-and-Career-Preparation-I"
"College and Career Preparation II","High school students have many questions about the college application process, what it takes to be a successful college student, and how to begin thinking about their careers. College and Career Preparation II builds on the lessons and skills in College and Career Preparation I. The course provides a step-by-step guide to choosing a college. It walks students through the process of filling out an application, including opportunities to practice, and takes an in-depth look at the various college-admission tests and assessments, as well financial aid options.College and Career Preparation II also instructs students in interviewing techniques and provides career guidance. Students explore valuable opportunities such as job shadowing and internships when preparing for a career. Students who complete this course obtain a deeper understanding of college and career readiness through informative, interactive critical thinking and analysis activities while sharpening their time management, organization, and learning skills that they learned in College and Career Preparation I.College and Career Preparation II prepares students with the knowledge and skills to be successful in college and beyond.The course is based on the American School Counselors Association National Standards for school counseling programs.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/301/College-and-Career-Preparation-II"
"Business Applications","Business Applications prepares students to succeed in the workplace. Students begin by establishing an awareness of the roles essential to an organization's success, and then work to develop an understanding of professional communications and leadership skills. In doing so, students gain proficiency with word processing, email, and presentation management software.This course allows students to explore careers in businessBusiness Applications is an introductory level Career and Technical Education course applicable to programs of study in business, management, and administration; information technology; and other career clusters. This course is aligned with state and national standards. Students who successfully complete the course can go on to obtain the Microsoft® Office Specialist: Microsoft® Office Word certification.**Microsoft is a registered trademark of Microsoft Corporation in the United States and/or other countries.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/468/Business-Applications"
"Introduction to Health Science","Introduction to Health Science provides the foundational knowledge and skills students need for careers in health care. Students begin by exploring the services, structure, and professions of the health care system. The remainder of the course focuses on day-to-day skills and expectations for health professionals, which include promoting wellness, maintaining a safe environment, creating medical records, and practicing good communication, collaboration, and leadership.Using real-life scenarios and application-driven activities, students learn the responsibilities and challenges of being health care professionals. In addition to building their understanding of technical concepts and skills, students evaluate the qualifications required for specific careers and develop personal career plans to pursue work in the health care industry.Introduction to Health Science is an introductory469/Introduction-to-Health-Science"
"Information Technology Applications","Information Technology Applications prepares students to work in the field of Information Technology. Students will be able to demonstrate digital literacy through basic study of computer hardware, operating systems, networking, the Internet, web publishing, spreadsheets and database software. Through a series of hand-on activities, students will learn what to expect in the field of Information Technology and begin exploring career options in the field.Information Technology Applications is an introductory level Career and Technical Education course applicable to programs of study in information technology as well as other career clusters. This course is aligned with state and national standards. Students who successfully complete the course will be prepared to pursue the Microsoft® Office Specialist certifications in Microsoft Word, Microsoft Excel and Microsoft Access, as well as IC3 certification.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/470/Information-Technology-Applications"
"Intermediate Health Science","Intermediate Health Science extends the foundations of the Introduction to Health Science course and covers basic medical science, terminology, procedures, and regulations. This course will help guide students toward choosing a specific career path in health services, including career paths in emergency medicine, nutrition, and alternative medicine.Using real-life scenarios and application-driven activities, students will extend their knowledge of oral and written communication in health science. Students will have an overview of physiology and medical measurements. Students will also synthesize learning from the Introduction to Health Science course by engaging in analysis of real-life scenarios and deepen their knowledge of various career options. In addition, students will expand their understanding of health and safety systems, how to address emergency situations, and deal with infection control issues.Intermediate Health Science is an intermediate471/Intermediate-Health-Science"
"Introduction to Business and Marketing","Introduction to Business and Marketing provides the foundational knowledge and skills students need for careers in business and marketing. Students begin exploring roles and functions that business and marketing play in a global society, develop an understanding of the market place, as well as understanding product placement and promotion. Using hands-on activities, students reinforce, apply and transfer academic knowledge and skills to a variety of interesting and relevant real-world inspired scenarios. This course focuses on developing knowledge and skills around marketing, pricing, and distribution, while also focusing on economics and interpersonal skills. This course also addresses exploring career options in marketing as well as securing and keeping a job.Introduction to Business and Marketing is as an introductory552/Introduction-to-Business-and-Marketing"
"Intermediate Business and Marketing","Intermediate Business and Marketing provides the intermediate knowledge and skills students need for careers in business and marketing. Students analyze the impact of government, legal systems, and organized labor on business; develop an understanding of business communications and management; and explore legal, ethical, and financial issues in business and marketing. Furthermore, students delve into basic economic concepts including personal finance, economic systems, cost-profit relationships, and economic indicators and trends. Using hands-on activities, students reinforce, apply, and transfer academic knowledge and skills to a variety of interesting and relevant real-world inspired scenarios. This course focuses on developing knowledge and skills around marketing and management, while also focusing on economics and financial literacy. This course also allows students to explore career options in business and marketing.Intermediate Business and Marketing is as an intermediate572/Intermediate-Business-and-Marketing"
"South Carolina Computer Applications","South Carolina Computer Applications provides an introduction to software applications that prepares students to succeed in the workplace and beyond. Students will develop an understanding of professional communications and leadership skills while gaining proficiency with word processing, email, and presentation management software. Students will also be able to demonstrate digital literacy through basic study web publishing and design, spreadsheets and database software.This course allows students to explore careers in the fields of business and Information TechnologySouth Carolina Computer Applications is an introductory level Career and Technical Education course applicable to programs of study in Business Administration and Management; Information Technology; and other career clusters. This course is aligned with South Carolina state standards.","2017-03-24 08:51:57","course-listings","Admin","/courses/catalog/product-detail/564/South-Carolina-Computer-Applications"
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"AP® Statistics Statistics193/AP®-Statistics---Exam-Review" | 677.169 | 1 |
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The aim of this book is to provide a complete history of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious and
sometimes the silliest aspects of mathematics, and a suprising amount of the most important mathematics and mathematicians have contributed to its unfolding. Pi is one of the
few concepts in mathematics whose mention evokes a response of recognition and interest in those not concerned professionally with the subject. Yet, despite this, no source
book on pi has been published. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet still accessible, mathematics. Mathematicians and
historians of mathematics will find this book indespensable.
Springer-Verlag and the Canadian Mathematical Society are pleased to announce their collaboration on a new book series. This new
series offers authors the joint advantages of publishing with a major mathematical society and with a leading academic publishing
company. The CMS Books in Mathematics series is edited by Dr. Jonathan Borwein and Dr. Peter Borwein. Details of these titles give
a good illustration of the broad variety of publications that may be anticipated within the series.
The MathResource is the interactive version of The Collins Dictionary of Mathematics by Ephraim Borowski & Jonathan Borwein. The work is substantially augmented by the research of Dr. Carolyn Watters. Professors Borowski and Borwein maintained the electronic rights to their database and Professor Watters' research provided an active link to the symbolic algebra system Maple, thus allowing for the development of this very unique software tool.
Let's Do Math: Tools and Things (Grades 4 - 12. This CD-ROM for MAC or Windows is a break through program for teachers and students. The software emphasizes the language, visualization, graphing and computational skills needed to succeed within the mathematical sciences. It consists of 175 interactive objects, complete graphing and calculating tools plus over 1,100 definitions. This gives teachers great flexibility in the presentation and motivation of material and provides students with the opportunity to really explore, prepare and understand the concepts of mathematics. Check out our interactive preview.
Calculating and graphing are an important part of math education. Investing precious time learning how to use a device to produce these results is not. Let's Do Math: Graphing and Calculating provides all the necessary calculating and graphing power but without the non-transferable and steep learning curve of most graphing and calculating devices. The excellent functionality is combined with a unique Help system. This combination will have you and your students generating numeric and graphincal output within 15 minutes of installing the software.
The MRI Graphing Calculator for Windows CE provides true graphic and calculating functionality for the Casio Cassiopeia A-21S (Student) and A-22T (Teacher) versions of the Computer Extender plus the E-100 Palm-Size PC. These handheld and palm PC computers provide the power necessary for the MRI Graphing Calculator to plot thousands of points. This means that the user generates a true image of their equation instead of an approximation of the image. To test this plot sin(1/x) on your graphing calculator and then plot it on the MRI Graphing Calculator selecting 750 plot points. To generate this plot using the MRI refer to
graphing capabilities. | 677.169 | 1 |
Professor Murray H. Siegel is a veteran high school and college instructor whose stature in his field has been recognized by the Presidential Award for Excellence in Math Teaching. He begins with polynomials and ends with an introduction to trigonometry, explaining not only the "how" of algebra but also the "why it works" and "why we need to know it."
The teaching of algebra in most of today's classrooms is not significantly different from what it was 50 years ago. Certainly, there have been some attempts to change algebra instruction, such as the "new math" reform movement of the 1960s. But the changes that persist in today's algebra curricula, as a result of that movement, are more superficial than substantial. On the other hand, mathematics and its applications have changed spectacularly in the past 50 years | 677.169 | 1 |
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Algebra 1 - Algebraic Expressions, Variables, and Evaluating teaches students what variables are and how to use them, and how to read, write, evaluate and simplify expressions. Models are given for each type of algebraic expression. There is a title slide, focus slide, objectives, vocabulary, concept development, step-by-step | 677.169 | 1 |
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Introduction to Matrix Algebra
Definitions:
A matrix is a collection of numbers ordered by rows and columns. It is customary
to enclose the elements of a matrix in parentheses, brackets, or braces. For example, the
following is a matrix:
This matrix has two rows and three columns, so it is referred to as a "2 by 3" matrix. The
elements of a matrix are numbered in the following way:
That is, the first subscript in a matrix refers to the row and the second subscript refers to
the column. It is important to remember this convention when matrix algebra is
performed.
A vector is a special type of matrix that has only one row (called a row vector) or
one column (called a column vector). Below, a is a column vector while b is a row
vector.
b = |÷2 7 4|
A scalar is a matrix with only one row and one column. It is customary to denote
scalars by italicized, lower case letters (e.g., x), to denote vectors by bold, lower case letters
(e.g., x), and to denote matrices with more than one row and one column by bold, upper
case letters (e.g., X).
A square matrix has as many rows as it has columns. Matrix A is square but
matrix B is not square:
, B =
1 9
0 3
7 ÷2
|
\
|
.
|
|
A symmetric matrix is a square matrix in which xij= xji for all i and j. Matrix A is
symmetric; matrix B is not symmetric.
A =
9 1 5
1 6 2
5 2 7
|
\
|
.
|
|
An identity matrix is a diagonal matrix with 1s and only 1s on the diagonal. The
identity matrix is almost always denoted as I.
I =
1 0 0
0 1 0
0 0 1
|
\
|
.
|
|
Matrix Addition and Subtraction:
To add two matrices, they both must have the same number of rows and they both
must have the same number of columns. The elements of the two matrices are simply
added together, element by element, to produce the results. That is, for R = A+ B, then
rij = aij + bij
for all i and j. Thus,
9 5 1
÷4 7 6
|
\
|
.
| =
1 9 ÷2
3 6 0
|
\
|
.
| +
8 ÷4 3
÷7 1 6
|
\
|
.
|
Matrix subtraction works in the same way, except that elements are subtracted instead of
added.
Matrix Multiplication:
There are several rules for matrix multiplication. The first concerns the
multiplication between a matrix and a scalar. Here, each element in the product matrix is
simply the scalar multiplied by the element in the matrix. That is, for R = aB, then
rij = abij
for all i and j. Thus,
8
2 6
3 7
|
\
|
.
| =
16 48
24 56
|
\
|
.
|
Matrix multiplication involving a scalar is commutative. That is, aB = Ba.
The next rule involves the multiplication of a row vector by a column vector. To
perform this, the row vector must have as many columns as the column vector has rows.
For example,
(1 7 5)
2
4
1
|
\
|
.
|
|
|
is not legal because the row vector has three columns while the column vector has four
rows. The product of a row vector multiplied by a column vector will be a scalar. This
scalar is simply the sum of the first row vector element multiplied by the first column
vector element plus the second row vector element multiplied by the second column
vector element plus the product of the third elements, etc. In algebra, if r = ab, then
r = ai
i =1
n¿
bi
Thus,
(2 6 3)
8
1
4
|
\
|
.
|
| =
80 1
81 21
|
\
|
.
|
For matrix multiplication to be legal, the first matrix must have as many columns as the
second matrix has rows. This, of course, is the requirement for multiplying a row vector
by a column vector. The resulting matrix will have as many rows as the first matrix and
as many columns as the second matrix. Because A has 2 rows and 3 columns while B has
3 rows and 2 columns, the matrix multiplication may legally proceed and the resulting
matrix will have 2 rows and 2 columns.
Because of these requirements, matrix multiplication is usually not commutative.
That is, usually AB = BA. And even if AB is a legal operation, there is no guarantee that
BA will also be legal. For these reasons, the terms premultiply and postmultiply are often
encountered in matrix algebra while they are seldom encountered in scalar algebra.
One special case to be aware of is when a column vector is postmultiplied by a row
vector. That is, what is
÷3
4
7
|
\
|
.
|
| (8 2) ?
In this case, one simply follows the rules given above for the multiplication of two
matrices. Note that the first matrix has one column and the second matrix has one row,
so the matrix multiplication is legal. The resulting matrix will have as many rows as the
first matrix (3) and as many columns as the second matrix (2). Hence, the result is
÷3
4
7
|
\
|
.
|
| (8 2) =
÷24 ÷6
32 8
56 14
|
\
|
.
|
|
Similarly, multiplication of a matrix times a vector (or a vector times a matrix) will also
conform to the multiplication of two matrices. For example,
8 5
6 1
9 4
|
\
|
.
|
|
2
8
5
|
\
|
.
|
|
is an illegal operation because the number of columns in the first matrix (2) does not
match the number of rows in the second matrix (3). However,
Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra - 5
8 5
6 1
9 4
|
\
|
.
|
|
3
7
|
\
|
.
| =
8-3 + 5-7
6-3 +1-7
9-3 + 4-7
|
\
|
.
|
| =
59
25
55
|
\
|
.
|
|
and
(2 7 3)
8 5
6 1
9 4
|
\
|
.
|
| = (2-8 + 7-6 + 3-9 2-5 + 7-1 + 3-4) = (85 29)
The last special case of matrix multiplication involves the identity matrix, I. The
identity matrix operates as the number 1 does in scalar algebra. That is, any vector or
matrix multiplied by an identity matrix is simply the original vector or matrix. Hence, aI =
a, IX = X, etc. Note, however, that a scalar multiplied by an identify matrix becomes a
diagonal matrix with the scalars on the diagonal. That is,
4
1 0
0 1
|
\
|
.
| =
4 0
0 4
|
\
|
.
|
not 4. This should be verified by reviewing the rules for multiplying a scalar and a matrix
given above.
Matrix Transpose:
The transpose of a matrix is denoted by a prime (A ' ) or a superscript t or T (At or
AT ). The first row of a matrix becomes the first column of the transpose matrix, the
second row of the matrix becomes the second column of the transpose, etc. Thus,
A =
2 7 1
8 6 4
|
\
|
.
| , and At =
2 8
7 6
1 4
|
\
|
.
|
|
The transpose of a row vector will be a column vector, and the transpose of a column
vector will be a row vector. The transpose of a symmetric matrix is simply the original
matrix.
Matrix Inverse:
In scalar algebra, the inverse of a number is that number which, when multiplied
by the original number, gives a product of 1. Hence, the inverse of x is simple 1/x. or, in
slightly different notation, x÷1 . In matrix algebra, the inverse of a matrix is that matrix
which, when multiplied by the original matrix, gives an identity matrix. The inverse of a
matrix is denoted by the superscript "-1". Hence,
AA÷1 = A÷1A = I
A matrix must be square to have an inverse, but not all square matrices have an
inverse. In some cases, the inverse does not exist. For covariance and correlation
matrices, an inverse will always exist, provided that there are more subjects than there are
variables and that every variable has a variance greater than 0.
Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra - 6
It is important to know what an inverse is in multivariate statistics, but it is not
necessary to know how to compute an inverse.
Determinant of a Matrix:
The determinant of a matrix is a scalar and is denoted as |A| or det(A). The determinant
has very important mathematical properties, but it is very difficult to provide a
substantive definition. For covariance and correlation matrices, the determinant is a
number that is sometimes used to express the "generalized variance" of the matrix. That
is, covariance matrices with small determinants denote variables that are redundant or
highly correlated. Matrices with large determinants denote variables that are independent
of one another. The determinant has several very important properties for some
multivariate stats (e.g., change in R2 in multiple regression can be expressed as a ratio of
determinants.) Only idiots calculate the determinant of a large matrix by hand. We will
try to avoid them.
Trace of a Matrix:
The trace of a matrix is sometimes, although not always, denoted as tr(A). The trace
is used only for square matrices and equals the sum of the diagonal elements of the
matrix. For example,
tr
3 7 2
-1 6 4
9 0 -5
|
\
|
.
|
| = 3 + 6 ÷ 5 = 4
Orthogonal Matrices:
Only square matrices may be orthogonal matrices, although not all square matrices
are orthogonal matrices. An orthogonal matrix satisfied the equation
AAt = I
Thus, the inverse of an orthogonal matrix is simply the transpose of that matrix.
Orthogonal matrices are very important in factor analysis. Matrices of eigenvectors
(discussed below) are orthogonal matrices.
Eigenvalues and Eigenvectors
The eigenvalues and eigenvectors of a matrix play an important part in
multivariate analysis. This discussion applies to correlation matrices and covariance
matrices that (1) have more subjects than variables, (2) have variances > 0.0, and (3) are
calculated from data having no missing values, and (4) no variable is a perfect linear
combination of the other variables. Any such covariance matrix C can be mathematically
decomposed into a product:
Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra - 7
C = ADA-1
where A is a square matrix of eigenvectors and D is a diagonal matrix with the
eigenvalues on the diagonal. If there are n variables, both A and D will be n by n
matrices. Eigenvalues are also called characteristic roots or latent roots. Eigenvectors
are sometimes refereed to as characteristic vectors or latent vectors. Each eigenvalue
has its associated eigenvector. That is, the first eigenvalue in D (d11) is associated with the
first column vector in A, the second diagonal element in D (i.e., the second eigenvalue or
d22) is associated with the second column in A, and so on. Actually, the order of the
eigenvalues is arbitrary from a mathematical viewpoint. However, if the diagonals of D
become switched around, then the corresponding columns in A must also be switched
appropriately. It is customary to order the eigenvalues so that the largest one is in the
upper left (d11) and then they proceed in descending order until the smallest one is in dnn,
or the extreme lower right. The eigenvectors in A are then ordered accordingly so that
column 1 in A is associated with the largest eigenvalue and column n is associated with
the lowest eigenvalue.
Some important points about eigenvectors and eigenvalues are:
1) The eigenvectors are scaled so that A is an orthogonal matrix. Thus, AT = A-1, and
AAT = I. Thus, each eigenvector is said to be orthogonal to all the other eigenvectors.
2) The eigenvalues will all be greater than 0.0, providing that the four conditions
outlined above for C are true.
3) For a covariance matrix, the sum of the diagonal elements of the covariance
matrix equals the sum of the eigenvalues, or in math terms, tr(C) = tr(D). For a correlation
matrix, all the eigenvalues sum to n, the number of variables. Furthermore, in case you
have a burning passion to know about it, the determinant of C equals the product of the
eigenvalues of C.
4) It is a royal pain to compute eigenvalues and eigenvectors, so don't let me catch
you doing it.
5) VERY IMPORTANT: The decomposition of a matrix into its eigenvalues and
eigenvectors is a mathematical/geometric decomposition. The decomposition literally
rearranges the dimensions in an n dimensional space (n being the number of variables) in
such a way that the axis (e.g., North-South, East-West) are all perpendicular. This
rearrangement may but is not guaranteed to uncover an important psychological construct
or even to have a psychologically meaningful interpretation.
6) ALSO VERY IMPORTANT: An eigenvalue tells us the proportion of total
variability in a matrix associated with its corresponding eigenvector. Consequently, the
eigenvector that corresponds to the highest eigenvalue tells us the dimension (axis) that
generates the maximum amount of individual variability in the variables. The next
eigenvector is a dimension perpendicular to the first that accounts for the second largest
amount of variability, and so on.
Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra - 8
Mathematical Digression: eigenvalues and eigenvectors
An important mathematical formulation is the characteristic equation of a
square matrix. If C is an n by n covariance matrix, the characteristic equation is
|C - ìI| = 0 (1.0)
where ì is a scalar. Solving this equation for ì reveals that the equation is a nth degree
polynomial of ì. That is, there are as many ìs as there are variables in the covariance
matrix. The n ìs that are the roots of this polynomial are the eigenvalues of C. Because C
is symmetric, all the ìs will be real numbers (i.e., not complex or imaginary numbers),
although some of the ìs may be equal to or less than 0. The ìs can be solved for in any
order, but it is customary to order them from largest to smallest.
To examine what is meant here, let C denote a two by two correlation matrix that
has the form:
1 µ
µ 1
|
\
|
.
|
Then the quantity C - ìI may be written as
C ֓I =
1 µ
µ 1
|
\
|
.
| ÷
ì 0
0 ì
|
\
|
.
| =
1÷ì µ
µ 1÷ì
|
\
|
.
|
The determinant is
C ֓I = (1֓ )2 ֵ2
So the equation that requires solution is
(1֓ )2 ֵ2 = 0.
This is a quadratic in ì. If we had three variables, it would be a cubic; and if there were
four variables, it would be a quartic, etc. Solving for the quadratic gives
ì = 1±µ
The largest root depends on the sign of µ. For µ > 0, then ì1 = 1 + µ and ì2 = 1 - µ.
For each ì, one can define a nonzero vector a, such that
(C ֓I)a = 0.
The 0 to the right of the equal sign denotes a vector filled with 0s. Any number in a that
satisfies this equation is called a latent vector or eigenvector of matrix C. Each eigenvector
is associated with its own ì. Note that the solution to a is not unique because if a is
multiplied by any scalar, the above equation still holds. Thus, there are an infinite set of
values for a, although each solution will be a scalar multiple of any other solution. It is
customary to normalize the values of a by imposing the constraint that a'a = 1. A latent
vector subject to this constraint is called a normalized latent vector.
Taking the two by two correlation matrix with µ > 0, then
Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra - 9
(C ÷ ìI)a =
1 ÷ì µ
µ 1÷ì
|
\
|
.
| a1
a2
|
\
|
.
| =
(1÷ì)a1 +µ a2
(1÷ ì)a2 +µa1
|
\
|
.
| =
0
0
|
\
|
.
| .
or, by carrying out the multiplication, we find
(1÷ì )a1 +µa2 = 0
(1÷ì )a2 +µa1 = 0
Now take the largest eigenvalue, l = 1 + r, and substitute. This gives
µ a2 ÷ a1 ( ) = 0
µ a1 ÷ a2 ( ) = 0
Thus, all we know is that a1 = a2. If we let a1 = 10, then a2 = 10; and if we let a1 = -.023, then
a2 = -.023. This is what was meant above when it was said that there were an infinite
number of solutions where any single solution is a scalar multiple of any other solution.
By requiring that a'a = 1, we can settle on values of a1 and a2. That is, if a1
2 + a2
2 = 1 and a1 =
a2 = a, say, then 2a2 = 1 and a = .5 . So the first eigenvector will be a 2 by 1 column vector
with both elements equaling .5 .
For the second eigenvector, we substitute 1 - µ for ì. This gives,
µ a1 + a2 ( ) = 0
Consequently, a1 = -a2. One of the a's must equal .5 and the other must equal - .5 . It is
immaterial which is positive and which is negative, but it is a frequent convention to
make the first one (a1) positive and the second negative.
Note that the normalized eigenvectors of a two by two correlation matrix will
always take on these values. The actual value of the correlation coefficient is irrelevant as
long as it exceeds 0.
Can you figure out the eigenvectors for a two by two matrix where µ < 0?
I 100 010
.B 915 262 517 A diagonal matrix is a symmetric matrix where all the off diagonal elements are 0. matrix B is not symmetric. Matrix A is diagonal.2 A 900 060 007 An identity matrix is a diagonal matrix with 1s and only 1s on the diagonal. Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra . The identity matrix is almost always denoted as I. A symmetric matrix is a square matrix in which xij= xji for all i and j. A 915 162 527. Matrix A is symmetric.
they both must have the same number of rows and they both must have the same number of columns. then rij aij bij for all i and j. for R = aB. That is. each element in the product matrix is simply the scalar multiplied by the element in the matrix. Thus. element by element. The first concerns the multiplication between a matrix and a scalar. Matrix Multiplication: There are several rules for matrix multiplication. That is. except that elements are subtracted instead of added. The elements of the two matrices are simply added together. then rij abij for all i and j.001
Matrix Addition and Subtraction:
To add two matrices.
. Here. to produce the results. Thus. for R = A+ B. 951 4 7 9 2 360� 8 4 3 7 1 Matrix subtraction works in the same way.
if A 2 8 1 364 is not legal because the row vector has three columns while the column vector has four rows. Specifically. Thus. The product of a row vector multiplied by a column vector will be a scalar. rij ai bj where aiis the ith row vector in matrix A and bj is the jth column vector in matrix B. In algebra.
2 6 3
8 1 428 61 34 34 All other types of matrix multiplication involve the multiplication of a row vector and a column vector.and B 17 9 2 63
. in the expression R = AB. etc. if r = ab. then r ai
i 1 n
bi Thus. This scalar is simply the sum of the first row vector element multiplied by the first column vector element plus the second row vector element multiplied by the second column vector element plus the product of the third elements.
That is. what? In this case. For these reasons. And even if AB is a legal operation. the result 24 6 32 8 56 14
. one simply follows the rules given above for the multiplication of two matrices. Because A has 2 rows and 3 columns while B has 3 rows and 2 columns. the terms premultiply and postmultiply are often encountered in matrix algebra while they are seldom encountered in scalar algebra. there is no guarantee that BA will also be legal. One special case to be aware of is when a column vector is postmultiplied by a row vector. Because of these requirements. That is. so the matrix multiplication is legal. matrix multiplication is usually not commutative.by a column vector. the matrix multiplication may legally proceed and the resulting matrix will have 2 rows and 2 columns. Hence. Note that the first matrix has one column and the second matrix has one row. The resulting matrix will have as many rows as the first matrix (3) and as many columns as the second matrix (2). usually AB BA. The resulting matrix will have as many rows as the first matrix and as many columns as the second matrix.
5 3 7
. However. For example. 2 8 5 is an illegal operation because the number of columns in the first matrix (2) does not match the number of rows in the second matrix (3). Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra . Similarly. multiplication of a matrix times a vector (or a vector times a matrix) will also conform to the multiplication of two matrices.
the second row of the matrix becomes the second column of the transpose. the inverse of a number is that number which. and the transpose of a column vector will be a row vector.10 01 40 04 not 4. The first row of a matrix becomes the first column of the transpose matrix. A 271 864 Matrix Transpose: The transpose of a matrix is denoted by a prime (A ) or a superscript t or T (At or AT ). etc. when multiplied
. Thus. This should be verified by reviewing the rules for multiplying a scalar and a matrix given above. The transpose of a symmetric matrix is simply the original matrix. Matrix Inverse: In scalar algebra. and At 28 76 14 The transpose of a row vector will be a column vector.
For covariance and correlation matrices. in slightly different notation. The determinant has several very important properties for some multivariate stats (e. The inverse of a matrix is denoted by the superscript "-1". Hence. Hence. We will try to avoid them. x1 . Matrices with large determinants denote variables that are independent of one another. the inverse of a matrix is that matrix which.. Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra . For covariance and correlation matrices. the determinant is a number that is sometimes used to express the "generalized variance" of the matrix.g. the inverse of an orthogonal matrix is simply the transpose of that matrix. although not always.by the original number. the inverse does not exist. Determinant of a Matrix: The determinant of a matrix is a scalar and is denoted as |A| or det(A). gives an identity matrix. denoted as tr(A). although not all square matrices are orthogonal matrices. The trace is used only for square matrices and equals the sum of the diagonal elements of the matrix. but it is not necessary to know how to compute an inverse. Trace of a Matrix: The trace of a matrix is sometimes. the inverse of x is simple 1/x. That is. Orthogonal matrices are very important in factor analysis. Matrices of eigenvectors
. but not all square matrices have an inverse. but it is very difficult to provide a substantive definition. An orthogonal matrix satisfied the equation AAt I Thus. when multiplied by the original matrix. or.) Only idiots calculate the determinant of a large matrix by hand. gives a product of 1.6 It is important to know what an inverse is in multivariate statistics. change in R2 in multiple regression can be expressed as a ratio of determinants. provided that there are more subjects than there are variables and that every variable has a variance greater than 0. For example. The determinant has very important mathematical properties. In some cases. tr 372 -1 6 4 9 0 -53 6 5 4 Orthogonal Matrices: Only square matrices may be orthogonal matrices. covariance matrices with small determinants denote variables that are redundant or highly correlated. In matrix algebra. an inverse will always exist. AA1 A1A I A matrix must be square to have an inverse.
7 C = ADA-1 where A is a square matrix of eigenvectors and D is a diagonal matrix with the eigenvalues on the diagonal. providing that the four conditions outlined above for C are true. all the eigenvalues sum to n. Consequently. However. North-South.(discussed below) are orthogonal matrices. in case you have a burning passion to know about it. Thus.0. if the diagonals of D become switched around. Any such covariance matrix C can be mathematically decomposed into a product: Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra . That is. and AAT = I.. the eigenvector that corresponds to the highest eigenvalue tells us the dimension (axis) that
. East-West) are all perpendicular. then the corresponding columns in A must also be switched appropriately. Eigenvalues are also called characteristic roots or latent roots. AT = A-1. the second diagonal element in D (i. For a correlation matrix. Furthermore. and so on. If there are n variables. or the extreme lower right. Actually. 2) The eigenvalues will all be greater than 0. the second eigenvalue or d22) is associated with the second column in A. This discussion applies to correlation matrices and covariance matrices that (1) have more subjects than variables. the determinant of C equals the product of the eigenvalues of C. The decomposition literally rearranges the dimensions in an n dimensional space (n being the number of variables) in such a way that the axis (e. Each eigenvalue has its associated eigenvector.g. Some important points about eigenvectors and eigenvalues are: 1) The eigenvectors are scaled so that A is an orthogonal matrix. and (4) no variable is a perfect linear combination of the other variables.0. 4) It is a royal pain to compute eigenvalues and eigenvectors. or in math terms. 6) ALSO VERY IMPORTANT: An eigenvalue tells us the proportion of total variability in a matrix associated with its corresponding eigenvector. This rearrangement may but is not guaranteed to uncover an important psychological construct or even to have a psychologically meaningful interpretation. (2) have variances > 0. Thus.. tr(C) = tr(D). the order of the eigenvalues is arbitrary from a mathematical viewpoint.
Eigenvalues and Eigenvectors
The eigenvalues and eigenvectors of a matrix play an important part in multivariate analysis. the first eigenvalue in D (d11) is associated with the first column vector in A. and (3) are calculated from data having no missing values. both A and D will be n by n matrices. The eigenvectors in A are then ordered accordingly so that column 1 in A is associated with the largest eigenvalue and column n is associated with the lowest eigenvalue. each eigenvector is said to be orthogonal to all the other eigenvectors. the number of variables. so don't let me catch you doing it. Eigenvectors are sometimes refereed to as characteristic vectors or latent vectors. the sum of the diagonal elements of the covariance matrix equals the sum of the eigenvalues. 5) VERY IMPORTANT: The decomposition of a matrix into its eigenvalues and eigenvectors is a mathematical/geometric decomposition.e. It is customary to order the eigenvalues so that the largest one is in the upper left (d11) and then they proceed in descending order until the smallest one is in dnn. 3) For a covariance matrix.
The s can be solved for in any order. To examine what is meant here. not complex or imaginary numbers). That is.I| = 0 (1. The n s that are the roots of this polynomial are the eigenvalues of C. although some of the s may be equal to or less than 0.generates the maximum amount of individual variability in the variables. there are as many s as there are variables in the covariance matrix.I may be written as C I � 0 0 ��
. The next eigenvector is a dimension perpendicular to the first that accounts for the second largest amount of variability. and so on. all the s will be real numbers (i. Solving this equation for reveals that the equation is a nth degree polynomial of .8
Mathematical Digression: eigenvalues and eigenvectors
An important mathematical formulation is the characteristic equation of a square matrix.0) where is a scalar. Because C is symmetric. If C is an n by n covariance matrix. let C denote a two by two correlation matrix that has the form: Then the quantity C . Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra .. but it is customary to order them from largest to smallest.e. the characteristic equation is |C .
there are an infinite set of values for a. Any number in a that satisfies this equation is called a latent vector or eigenvector of matrix C. Solving for the quadratic gives 1 The largest root depends on the sign of .
The 0 to the right of the equal sign denotes a vector filled with 0s. Thus. then Psychology 7291: Multivariate Statistics (Carey) 8/27/98 Matrix Algebra . etc. one can define a nonzero vector a.. it would be a quartic. For > 0. Taking the two by two correlation matrix with > 0. although each solution will be a scalar multiple of any other solution. Note that the solution to a is not unique because if a is multiplied by any scalar. For each . the above equation still holds. and if there were four variables. such that
C Ia 0. It is customary to normalize the values of a by imposing the constraint that a'a = 1. then 1 = 1 + and 2 = 1 . Each eigenvector is associated with its own . If we had three variables. it would be a cubic. This is a quadratic in . A latent vector subject to this constraint is called a normalized latent vector.9 (C I)a 1 �a1 a2 (1)a1 a2 (1)a2 a 0 0
. The determinant is C I 12 2 So the equation that requires solution is (1)2 2 0.
One of the a's must equal . then a2 = 10. but it is a frequent convention to make the first one (a1) positive and the second negative. and substitute. by carrying out the multiplication.. This is what was meant above when it was said that there were an infinite number of solutions where any single solution is a scalar multiple of any other solution. or.5 . a1 = -a2. all we know is that a1 = a2. If we let a1 = 10. It is immaterial which is positive and which is negative. we find
1a1 a2 0 1a2 a1 0
Now take the largest eigenvalue. we can settle on values of a1 and a2. and if we let a1 = -.5 . The actual value of the correlation coefficient is irrelevant as long as it exceeds 0.for . For the second eigenvector.�.5 .5 and the other must equal . This gives. This gives a2 a1 0 a1 a2 0 Thus.023. we substitute 1 . then 2a2 = 1 and a = . By requiring that a'a = 1. say. if a1 2 + a2 2 = 1 and a1 = a2 = a. Note that the normalized eigenvectors of a two by two correlation matrix will always take on these values. l = 1 + r. So the first eigenvector will be a 2 by 1 column vector with both elements equaling . Can you figure out the eigenvectors for a two by two matrix where < 0?
. That is. then a2 = -. a1 a2 0 Consequently.023. | 677.169 | 1 |
Product Description:
Arem's CONQUERING MATH ANXIETY is a comprehensive workbook that provides a variety of exercises and worksheets along with detailed explanations of methods to help "math-anxious" students deal with and overcome math fears. The author offers tips on specific strategies, as well as relaxation exercises. The book's major focus is to encourage students to take action. Expertly constructed hands-on activities help readers explore both the underlying causes of their problem and viable solutions. Many activities are followed by illustrated examples completed by other students. This edition now comes with a "free" relaxation CD-ROM, and a detailed list of Internet Resources.
REVIEWS for Conquering Math Anxiety | 677.169 | 1 |
AQA Linear Foundation 2 Student Book (New GCSE Maths)
Description
Collins New GCSE Maths Student Books are the perfect way to help students working at Grades G to C tackle the AQA GCSE Mathematics Foundation Linear specification. Packed with functional skills, problem solving and graded maths practice, they give your students confidence to take on all aspects of the new curriculum and succeed. Collins New GCSE Maths AQA Linear Student Book Foundation 2, written by experienced teachers and examiners, is organised exactly according to the AQA GCSE Mathematics Linear specification.
It is the ideal resource to help students get the best results: * Enable students to monitor their own progress through the GCSE Maths course with Collins' colour-coded grades on every page and a grade booster at the end of every chapter * Be confident that students are practising the key elements of the new curriculum in every lesson with functional skills, problem solving and AO2/AO3 new exam-style questions within every exercise * Use the colourful functional skills and problem-solving pages at the end of every chapter to engage students with rich tasks that will develop their process skills and allow them to apply maths in stimulating real-life contexts * Show students exactly why each chapter matters to them with new chapter openers that develop the cross-curricular nature of maths * Give students the opportunity for self-assessment and guidance for their exam technique by using the comprehensive exam practice and worked exam questions with examiner notes at the end of every chapter Suitable for the second year of the AQA Linear course. For the first year, you will need Collins AQA Linear Student Book Foundation 1 (9780007489381) | 677.169 | 1 |
Publication Date: January 6, 2012 ISBN-10: 0321759664 ISBN-13 :978-0,321,759,665 Edition: 9
Mathematics curriculum in the liberal arts, a common problem for students to ask, "Why should I know?" Investigation and Applied Mathematics is still a best-selling book, because it shows students how to use math in our daily lives, we Why is this important. The ninth edition further emphasized this point, has added a new "why it is important that" part of the entire text. In real life, and the latest example of incentive theme throughout a wide range of exercises to help students develop their problem-solving and critical thinking skills.
The angel, Abbott and Runde way is clear, professional materials that come into contact with non-mathematical. The text includes a wide variety of mathematical topics, the flexibility to use any one or two semesters liberal arts math course content.
Note: This is a separate book, if you want the book / access card order the ISBN listed below: | 677.169 | 1 |
Geometry is the most fundamental subject in the universe, for it describes the relationships within and between all things.
Discover the simple but powerful mathematics of the underlying geometric figures that shape our world.
Mathematics V10 Home Study which brings the 250+ topics to life by allowing you to insert your own values.
Time Travel is the companion book to Mindkind: Math & Physics for the New Millennium. There we are provided with a new math and physics to carry us forward into the future. In Time Travel, we go back in time to take an insightful look at ancient civilizations and the science and mathematics they used. | 677.169 | 1 |
Thursday, March 13, 2014
ScienceandMath.com ~ Algebra 1 Tutor DVD Review
Near the beginning of my TOS Review Crew journey in 2009 I was introduced to Jason Gibson and his Math Tutor DVD's. You can read my review of Algebra 2 and Word Problems in It's Not Rocket Science, People! It is worth noting that this particular review was written when I didn't have an age appropriate student doing Algebra~ but I was still highly impressed!
Just a quick word about Jason Gibson~ he *is* a rocket scientist, and he truly has a heart for making math and science understandable and accessible. With the resources found on his website ScienceandMath.com he is hoping to help students not only gain mastery of their science and maths, but also to understand why they are useful and how they fit together. There *is* a purpose to being able work with fractions, but if one doesn't understand the application, it is difficult to generate student enthusiasm.
Now to some specifics about our experience this time around.
Although Middlest isn't *quite* at the Algebra 1 level, he was close enough for me to want to give this a go and see how he did. So far it has been a winning combination. Jason moves very methodically through the material, making no assumptions about prior knowledge. He explains the concept thoroughly, and then walks the students through a number of example problems for each concept to help ensure that they know what they are doing.
Middlest has decided that he really likes the Algebra 1 Tutor video lecture approach over a text book approach, because he felt that the visual explanations and multiple problems worked by the instructor were more thorough, and helped him to have a greater grasp of the concept.
We decided to work through the DVD doing basically one lesson per week, especially as this was just a tad above my son's working level. Middlest watched the lesson the first day, and then went back to watch (if necessary) specific problems when he was going through the Companion Worksheets. The worksheets correspond nicely to the video, with very detailed answer keys, to help explain exactly what should be done if there were any problems. There are a number of sample videos like the following clip available on the ScienceandMath.com website.
)
The contents of Algebra 1: Volume 1 :
Disk 1
Sect 1 - Real Numbers And Their Graphs
Sect 2 - Review of Fractions
Sect 3 - Exponents and Order of Operations
Disk 2
Sect 4 - Adding and Subtracting Real Numbers
Sect 5 - Multiplying and Dividing Real Numbers
Sect 6 - Algebraic Expressions
Disk 3
Sect 7 - Properties of Real Numbers
Sect 8 - Introduction to Equations
Sect 9 - Solving More Equations
Sect 10 - Simplifying Expressions to Solve Equations
The Worksheets cover the material in both Volume 1 and Volume 2 are as follows:
Worksheet 1 -- 25 Pages - Real Numbers And Their Graphs (There is a sample of this worksheet if you scroll to the bottom of the Worksheet DVD page)
Worksheet 2 - 96 Pages - Fractions
Worksheet 3 - 31 Pages - Exponents
Worksheet 4 -- 27 Pages - Add and Subtract Real Numbers
Worksheet 5 -- 32 Pages - Multiply and Divide Real Numbers
Worksheet 6 -- 27 Pages - Algebraic Expressions
Worksheet 7 -- 27 Pages - Properties Of Real Numbers
Worksheet 8 -- 33 Pages - Introduction to Equations
Worksheet 9 -- 28 Pages - Solving More Equations
Worksheet 10 -- 30 Pages - Simplifying Expressions
Worksheet 11 -- 26 Pages - Solving Inequalities
Worksheet 12 -- 42 Pages - Natural Number Exponents
Worksheet 13 -- 27 Pages - Zero and Negative Exponents
Worksheet 14 -- 27 Pages - Polynomials
Worksheet 15 -- 25 Pages - Add and Subtract Polynomials
Worksheet 16 -- 25 Pages - Multiplying Polynomials
Worksheet 17 -- 25 Pages - Divide Polynomials by Monomials
Worksheet 18 -- 24 Pages - Divide Polynomials by Polynomials
Worksheet 19 -- 24 Pages - The Greatest Common Factor
Worksheet 20 -- 21 Pages - Factor By Grouping
Worksheet 21 -- 19 Pages - Factor The Difference Of Two Squares
I will repeat what I said in my previous reviews~ The instruction on these DVD's isn't flashy or exciting, but it IS understandable, dependable and promotes steady progress. Because of this, Middlest is beginning to feel confident in his ability to work Algebra problems, having worked successfully through a number of the lessons on the DVD. If you are intimidated by teaching higher maths, this might be a great resource for you | 677.169 | 1 |
Overview
Now, make rigorous mathematical topics accessible to your students with the visuals, examples, and mathematical models in O'Neil's ADVANCED ENGINEERING MATHEMATICS, 8th Edition. New "Math in Context" broadens the engineering connection by clearly demonstrating how mathematical concepts apply to current engineering problems. This product gives you the flexibility to select additional topics that are best for your individual course, including many new web modules, while also minimizing the cost of the printed version.
Meet the Author
Peter V. O'Neil,
University of Alabama, Birmingham
Dr. Peter O'Neil has been a professor of mathematics at the University of Alabama at Birmingham since 1978. At the University of Alabama at Birmingham, he has served as chairman of mathematics, dean of natural sciences and mathematics, and university provost. Dr. Peter O'Neil has also served on the faculty at the University of Minnesota and the College of William and Mary in Virginia, where he was chairman of mathematics. He has been awarded the Lester R. Ford Award from the Mathematical Association of America. He received both his M.S and Ph.D. in mathematics from Rensselaer Polytechnic Institute. His primary research interests are in graph theory and combinatorial analysis.
Features & Benefits
AN INSTRUCTOR'S SOLUTIONS MANUAL OFFERS COMPLETE SOLUTIONS. You will find detailed solutions to virtually all problems in the book to save you time and effort.
ALL MATHEMATICS IS COMPLETED CORRECTLY. Although the approach is informal and proofs are included only when they offer a useful and straightforward insight into the ideas, you can trust all of the mathematics presented in this edition.
TABLES OF TRANSFORMS PROVIDE QUICK REFERENCE. Your students will find tables for Fourier, Laplace, Fourier cosine and sine for use in solving problems within the book.
A GUIDE TO POST-CALCULUS NOTATION ASSISTS STUDENTS. This helpful guide provides support for your students as they reference new terms and symbols
DETAILED EXAMPLES HIGHLIGHT BOTH MATHEMATICAL IDEAS AND THEIR APPLICATIONS. Valuable examples throughout develop and emphasize mathematical concepts as well as practical engineering uses.
TWO ADDITIONAL WEB CHAPTERS DETAIL STATISTICS AND PROBABILITY. These chapters are conveniently posted on the book's website and include both problems and solutions.
STUDENT SOLUTIONS MANUAL CONTAINS WORKED-OUT SOLUTIONS TO HALF OF THE TEXT PROBLEMS. These solutions are specifically developed to assist your students in truly understanding the ideas involved, rather than simply listing the mechanical steps.
THE BOOK'S SEVEN-PART ORGANIZATION BEST FITS MOST COURSE ORGANIZATIONS. Seven distinctive parts clearly focus and differentiate the mathematical ideas and methods while giving you the flexibility to select the sections best suited for your course and student needs.
DETAILED EXAMPLES ILLUSTRATE THE USE OF NOTATION AND THE THEORY. The numerous examples clarify notation, theory and the underlying computations, followed by the numerical calculations themselves. | 677.169 | 1 |
Principles of Mathematical Modeling and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition , is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers.
The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making.
Prospective students should have already completed courses in elementary algebra, trigonometry, and first-year calculus and have some familiarity with differential equations and basic physics.
Serves as an introductory text on the development and application of mathematical models
Focuses on techniques of particular interest to engineers, scientists, and others who model continuous systems
Offers more than 360 problems, providing ample opportunities for practice
Covers a wide range of interdisciplinary topics—from engineering to economics to the sciences
Uses straightforward language and explanations that make modeling easy to understand and apply
Expanded and reorganized chapters that flow in an increasing level of complexity
Several new problems and updated applications
Expanded figure captions that provide more information
Improved accessibility and flexibility for teaching
Recommendations:
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6.08%
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22.63%
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7.0%
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Showing 1 to 19 of 19
MARKETING
IMPORTANT CONCEPTS EXAM 1 - Chapters 1, 2, 5, 10, and 8
It is important to read the chapters from the textbook. The power points will help you
recall the flow of discussions in the class. Please focus on the understanding of the
concepts.
Chapte
Trig Graph Transformations
1. If a number is in front of a trig function:
2. If a number is inside of a trig function in front of x or :
3. If a number is added or subtracted to a trig function and is NOT
grouped with x or :
4. If a number is added or sub | 677.169 | 1 |
Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more | 677.169 | 1 |
Name SDK (NE? 0 m I
MATH 1201
Section 2.8
1. Use the given graph to estimate the value of each derivative. Then sketch the graph of f
(1) f(-2) "
8:31); E cfw_/03 63A JVD took Oxi We; Siege;
(4) N?)
2. Find the derivative of the function using the denit
Calculus 1 Advice
Showing 1 to 1 of 1
I would recommend this course because it forces you to think critically. To truly understand the topics, you cannot take the material at face value. There are many theorems and formulas involved. Knowing the formulas is just half the battle. But understanding why they make sense is extremely crucial. Thinking this way will help you understand other related topics as you progress throughout your academic career.
Course highlights:
It is hard to pick and choose topics because I have learned a lot. We discussed derivatives, limits, related rates, implicit differentiation, and a wide range of other topics. Most importantly, we discussed how each topic relate to each other as well as future subjects.
Hours per week:
6-8 hours
Advice for students:
Study as hard as and as much as you can. Supplementing the information learned in class can only help you in the long run. It will be extremely difficult to do well solely based on the information taught during class. You will need to practice the concepts on your own and even start to practice topics not yet discussed. This will make life a lot easier as you will be ahead in the material. | 677.169 | 1 |
The Tremendous Value Of Solving Difficult Algebra "Story Problems"
Recently, my 14-year old son requested that I help him with the
following beginning algebra problem:
The manager of a specialty food store
combined almonds that cost $4.50 per pound with walnuts that cost
$2.50 per pound. How many pounds of each were used to make a
100-pound mixture that costs $3.24 per pound? From Algebra: Introductory and Intermediate by
Aufmann, Barker, and Lockwood, 3rd Edition
My son's reaction? "I don't get it." Then after showing
him some of the steps, I still heard "I don't get it". I could
imagine the frustration of a teacher with 30 or so students all
reacting this way. But, after having my son write down the steps
similar to those shown below on about 4 or 5 problems, he did
start to get it.
Always let X = what is being asked for.
In this case there are two things being asked for . So we let
x stand for one of them. We let X = pounds of almonds.
Form an equation by first sketching a
diagram illustrating relationships. In this case, we have
And now, the equation must still be
solved!
So What Is The Point Of Subjecting Students To This?
The value of students learning how to do this problem is not so much
learning how to do mixture problems. Because truthfully, such mixture
problems are rarely seen in day-to-day life. The great value of
this problem to the student is obtaining the confidence to solve
multi-step problems in mathematics, science, and other subjects.
In this
MAA Statement , they conclude
. . . the best mathematics preparation for college is
continuous coursework throughout high school that fosters a strong
background in algebra and geometry, and brings an ability to solve
multi-step "word problems" and an open and positive attitude towards
problem solving in general.
Until my son was assigned these problems, he only saw 1 or at the
most 2 step problems that may have included some fairly simple
algebraic operations. This problem, however required some real
thought! Ultimately, the goal should be that students be
unafraid to tackle problems much more complex than the one above by
chipping away at the problem, breaking it into comprehendible chunks,
and persisting until a final solution is arrived at.
My Own Impossible Story Problem
When pursuing my degree in higher mathematics, the very first course I
took was one called Abstract Algebra. To see what this course is about
visit this
Wikipedia page on Abstract Algebra. On the very first day
the seemingly insane instructor, writing at a seemingly insane pace,
wrote something on the board similar to
Well, needless to say, I panicked. I probably had that same
sick feeling that 14 year olds have all over the planet as they tackle
mixture story problems! And to top it off, none of the tutors in the
math lab could help me since it was beyond their course work!
Here is what I did:
I panicked some more and considered dropping out. After all,
this math made NO sense to me. Heck, it's just a bunch of symbols.
It's not even math! Sound familiar?
After deciding to at least try and tough it out, I obtained
every book in the university library pertaining to Abstract Algebra
that looked like it could be helpful. I had a stack well over
a foot high.
With the help of the books, and through some great persistence
on my part, I started breaking down the subject. First I learned
what all these strange symbols stood for. For example, the
symbol | means
"such that". Also, I learned in detail what quantities like
"groups" were. I would devote as much as 6-8 hours in a single
evening to this subject alone.
And it started to click! Toward the end of the course, it came to
me. This Abstract Algebra course is not about learning
techniques or applications. This course, in addition to teaching
the general structure or our number systems, teaches one how to
tackle multi-step seemingly impossible abstract problems! In fact, I
would say this is the best course I ever took in college. After
this course, I was no longer intimidated be very lengthy and abstract
problems. I knew that if I was persistent and tackled the
problem a small piece at a time, I would eventually succeed. And I
did. In subsequent graduate level courses, when given 10-page
assignments consisting entirely of very abstract and difficult proofs,
I viewed these as challenges rather than obstacles, and I persisted
and succeeded. Later on, when I decided to learn
PHP/MYSQL computer language in order to construct a data-base
driven website, I used this same persistence to learn the
language by breaking down the tasks and concepts into manageable
pieces. And truthfully, learning PHP/MYSQL was much more
difficult than learning Abstract Algebra - Yet I don't think I would
have had the confidence or the symbolic reasoning ability to learn
this computer language without my successes in math. | 677.169 | 1 |
Beginning Elayn Martin-Gay's success as a developmental math author starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions to thisMore...
Elayn Martin-Gay's success as a developmental math author starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions to this edition provide new pedagogy and resources to build reader confidence and help readers develop basic skills and understand concepts. New and revised topic coverage includes linear graphing, slope, equations of lines, and introduction to functions; direct and inverse variation; factoring trinomials by grouping; slope as a rate of change; and interval notation. In addition, Martin-Gay's 4-step problem solving process-Understand, Translate, Solve and Interpret-is integrated throughout. Also includes new features such as Study Skills Reminders, "Integrated Reviews", and "Concept Checks." For readers interested in learning or revisiting essential skills in beginning algebra through the use of lively and up-to-date applications.
Review of Real Numbers
Symbols and Sets of Numbers
Fractions
Exponents and Order of Operations
Introduction to Variable Expressions and Equations
Adding Real Numbers
Subtracting Real Numbers
Multiplying and Dividing Real Numbers
Properties of Real Numbers
Reading Graphs
Equation, Inequalities, and Problem Solving
Simplifying Algebraic Expressions
The Addition Property of Equality
The Multiplication Property of Equality
Solving Linear Equations
An Introduction to Problem Solving
Formulas and Problem Solving
Percent and Problem Solving
Further Problem Solving
Solving Linear Inequalities
Graphing
The Rectangular Coordinate System
Graphing Linear Equations
Intercepts
Slope
Graphing Linear Inequalities
Exponents and Polynomials
Exponents
Adding and Subtracting Polynomials
Multiplying Polynomials
Special Products
Negative Exponents and Scientific Notation
Division of Polynomials
Factoring Polynomials
The Greatest Common Factor and Factoring by Grouping
Factoring Trinomials of the Form x2 + bx + c
Factoring Trinomials of the Form ax2 + bx + c
Factoring Binomials
Choosing a Factoring Strategy
Solving Quadratic Equations by Factoring
Quadratic Equations and Problem Solving
Rational Expressions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denomin | 677.169 | 1 |
The author has endeavoured to present the fundamental concepts of mathematics in a comprehensive and lucid manner. An outstanding and distinguishing feature of the book is the large number of typical solved examples followed by well graded exercises for practice. Many examples and problems have been selected from recent papers (2005 onwards) of various engineering examinations. The book is strictly in accordance with the latest syllabi | 677.169 | 1 |
Differential Equations (2nd Edition)
Author:John Polking - Al Boggess - David Arnold
ISBN 13:9780131437388
ISBN 10:131437380
Edition:2
Publisher:Pearson
Publication Date:2005-07-24
Format:Hardcover
Pages:656
List Price:$202.20
 
 
Combining traditional material with a modern systems approach, this handbook provides a thorough introduction to differential equations, tempering its classic "pure math" approach with more practical applied aspects. Features up-to-date coverage of key topics such as first order equations, matrix algebra, systems, and phase plane portraits. Illustrates complex concepts through extensive detailed figures. Focuses on interpreting and solving problems through optional technology projects. For anyone interested in learning more about differential equations.
Booknews
This textbook brings to students the expanded outlook that modern developments in differential equations require, together with the use of technology. Striking a balance between the traditional and the modern, Polking (Rice U.), Albert Boggess (Texas A&M U.) and David Arnold (College of the Redwoods) offer flexibility of the use and technology as well as applications not only to the physical sciences and engineering, but also to the biological sciences. The ten chapters cover introductory material; first and second order equations; modeling and applications; the Laplace transform; numerical methods; matrix algebra; an introduction to systems; linear systems with constant coefficients; and nonlinear systems. Annotation c. Book News, Inc., Portland, OR (booknews.com) | 677.169 | 1 |
Math-Flight 2 2.3
Learning mathematics can be a challenge for anyone. Math Flight can help you master it with three fun activities to choose from! With lots of graphics and sound effects, your interest in learning math should never decline. Help is always available in an audio and visual format with the simple click of a button. A great utility for teachers and parents is the ability to track all users progress in the statistics menu.
This educational software is great for children and even adults wanting to brush up on there basic arithmetic skills. Improve your math by taking a trip with Math Flight!
Auto2Fit - Auto2Fit is a revolution tools for optimization, especially, in the area of nonlinear regression, Auto2Fit beats all other simliar ones. Almost all data analysis software packages (SPSS, SAS,... ... | 677.169 | 1 |
8th Grade Math and Algebra I, Common Core Combined Standards
Compressed Zip File
Be sure that you have an application to open this file type before downloading and/or purchasing. How to unzip files.
0.36 MB | 6 pages
PRODUCT DESCRIPTION
This resource combines the 8th grade math and Algebra I common core standards by topic.
I created this resource after studying the standards and organizing them in a manner that makes sense. For many schools, pacing guides are provided for 8th grade math and for Algebra I, but an 8th grade class who takes Algebra I needs its own outline for the year. I needed an outline that would allow my 8th grade Algebra I class to learn all the 8th grade and all the Algebra I standards. Since many topics overlap among the standards, they must be organized to make sense.
This resource weaves the two sets of standards together by topic. You will receive a 6-page PDF and Word version of the document.
I hope this is helpful to other 8th grade Algebra I teachers. Maybe you are new, or just new to common core like the rest of us! Feedback is greatly appreciated.
I have based this document on Tennessee standards (which are common core based and very similar to many states | 677.169 | 1 |
Investigating Graphs of Rational Functions In Ontario in our grade 12 advanced functions course we are to graph rational functions that are reciprocals of linear and quadratic functions and ones where both the numerator and denominator are linear functions. In this post there are several activities ...
The Area Representation of Pythagorean Theorem In Grade 8 here in Ontario, Pythagorean Theorem is introduced for the first time. It is pretty common for students to only see a 2 + b 2 = c 2 and they move on. This can be a problem for students since if they only see that formula, they can't get past the ... | 677.169 | 1 |
Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline . . . Lower-division undergraduates through graduate students. -Choice reviews (Review of the First Edition)
Very appropriately entitled as a 'beginner's guide', this textbook presents itself as the first exposure to discrete mathematics and rigorous proof for the mathematics or computer science student. -Zentralblatt Math (Review of the First Edition)
This second edition of A Beginner's
This text is intended for undergraduates in mathematics and computer science, however, featured special topics and applications may also interest graduate students. Birkhauser Boston Inc, 2011682859 | 677.169 | 1 |
Algebra is the language that describes functional relationships in God's universe. For example, the speed of a satellite is a function of the diameter of its orbit. Each unit in Algebra 2 will present such an interesting real-world application. Students will learn how algebra can be used to analyze data and solve problems, all within a Christian worldview. Algebra reflects the orderliness of God and helps us to discover the regularity in His created universe.
Topics include:
Mathematical concepts including number systems, operations, and functions. | 677.169 | 1 |
Showing 1 to 30 of 34
Multidimensional Unconstrained
Optimization
Techniques to find minimum and maximum of a
function of several variables are described.
These techniques are classified as:
That require derivative evaluation
Gradient or descent (or ascent) methods
That d
Linear Algebraic Equations
An equation of the form ax+by+c=0 or equivalently ax
+by=-c is called a linear equation in x and y variables.
ax+by+cz=d is a linear equation in three variables, x, y,
and z.
Thus, a linear equation in n variables is
a1x1+a2x
Roots of Polynomials
The roots of polynomials such as
2
f n ( x) = ao + a1 x + a2 x + + an x
n
Follow these rules:
1. For an nth order equation, there are n real or
complex roots.
2. If n is odd, there is at least one real root.
3. If complex root exist
Optimization
Optimization
Mathematical Background
Optimization problems can be classified on the
basis of the form of f(x):
If f(x) and the constraints are linear, we have linear
programming.
If f(x) is quadratic and the constraints are linear, we
have
Numerical Approximations and Errors
For many engineering problems, we cannot obtain analytical
solutions.
Numerical methods yield approximate results; results that are close
to the exact analytical solution. We cannot exactly compute the
errors associat | 677.169 | 1 |
...
A former Wall Street quant sounds an alarm on the mathematical models that pervade modern life - and threaten to rip apart our social fabric We live in the age of the algorithm. Increasingly, the decisions that affect our lives - where we go to school, whether we get a loan, how ...
The Mathematics of Secrets takes readers on a fascinating tour of the mathematics behind cryptography--the science of sending secret messages. Most books about cryptography are organized historically, or around how codes and ciphers have been used, such as in government and milit ...
What do pure mathematicians do, and why do they do it? Looking beyond the conventional answers--for the sake of truth, beauty, and practical applications--this book offers an eclectic panorama of the lives and values and hopes and fears of mathematicians in the twenty-first centu ...
Algebra I Workbook For Dummies, 3rd Edition with Online Practice, tracks to a typical high school Algebra class with hundreds of practice problems to guarantee understanding and retention. This revised edition comes with access to 500 additional practice problems online, where yo ... | 677.169 | 1 |
This lesson will provide students with an introduction to solving equations and inequalities numerically (using a table), graphically, and algebraically. they devise a table that would produce information about the number of hot dogs sold and the revenue made selling them. | 677.169 | 1 |
INTRODUCTION TO ANALYSIS
INTRODUCTION TO ANALYSIS
2014 Winterim
3 Units
Mathematics 301
The main emphasis of this course is to introduce students to mathematical proofs. Students will learn to read and write proofs in mathematics by writing proofs of theorems about limits, sets of real numbers, and continuous functions. If time permits, other topics may include derivative and integration theorems, theory of open and closed sets, and cardinality of sets.
Other Requirements: PREREQ: MATH 255 AND MATH 280
Class Schedule
There are no sections offered for this course and term that meet your criteria. | 677.169 | 1 |
College Mathematics, Global Edition
ISBN :
9781292057699
Publisher :
A&S Academic Math
Author(s) :
Bittinger, Marvin, L.
Publication Date :
6 May 2014
Edition :
12
Overview
Objective: Guided Learning
The Bittinger Worktext Series recognizes that math hasn't changed, but students—and the way they learn math—have. This latest edition continues the Bittinger tradition of objective-based, guided learning, while also integrating timely updates to the proven pedagogy. This edition has a greater emphasis on guided learning and helping students get the most out of all of the resources available, including new mobile learning resources, whether in a traditional lecture, hybrid, lab-based, or online course.
The new edition supports students with quality applications and exercises, a new MyMathGuide workbook and video program, and an updated MyMathLab course that brings it all together!
Teaching and Learning Experience This program will provide a better teaching and learning experience for you and your students. Here's how:
Improve Results: MyMathLab® delivers proven results in helping students succeed and provides engaging experiences that personalize learning. Guide Students' Learning: The Bittinger team helps today's math students stay on task by guiding them to understand what to do and when. Reinforce Study Skills: The Bittinger program is equipped with tools and resources to help students develop effective study and learning habits that will help them in their college careers and beyond | 677.169 | 1 |
Product Description:
This is a lively textbook for an introductory course in numerical methods, MATLAB, and technical computing, with an emphasis on the informed use of mathematical software. The presentation helps readers learn enough about the mathematical functions in MATLAB to use them correctly, appreciate their limitations, and modify them appropriately. The book makes extensive use of computer graphics, including interactive graphical expositions of numerical algorithms. It provides more than 70 M-files, which can be downloaded from the text Web site Many of the numerous exercises involve modifying and extending these programs. The topics covered include an introduction to MATLAB; linear equations; interpolation; zeros and roots; least squares; quadrature; ordinary differential equations; Fourier analysis; random numbers; eigenvalues and singular values; and partial differential equations. Motivating applications include modern problems from cryptography, touch-tone dialing, Google page-ranking, atmospheric science and image processing, as well as classical problems from physics and engineering.
REVIEWS for Numerical Computing with | 677.169 | 1 |
reprise Make a Table; Look for a Pattern - \begin{align*}2\;\mathrm{hrs}\end{align*}2hrs
Problem-Solving Strand for Mathematics
This chapter, Exponential Functions, begins with the essentials of exponential notation and builds sequentially through fairly sophisticated uses of exponents to solve real-world problems. The patterns related to exponential notation provide an opportunity to demonstrate the power of definitions. Looking for a pattern and using a table for projecting compound interest, for example, allows the repeated factor to be discovered and affirms that an exponent is used appropriately in the formula.
Alignment with the NCTM Process Standards
NCTM Process Standards from every strand can be seen in the lesson Problem-Solving Strategies. Students will both analyze and evaluate their own mathematical thinking and the strategies of others (COM.3) and use the language of mathematics to express mathematical ideas precisely (COM.4). In tackling business and scientific real world problems, they will make connections, recognize and apply mathematics in contexts outside of mathematics (CON.3). From a problem-solving perspective students will apply and adapt a variety of appropriate strategies to solve problems that arise in mathematics and in other contexts (PS.2, PS.3), and they will recognize reasoning and proof—specifically in applying the use of defining terms—as fundamental aspects of mathematics (RP.1). In developing tables to help them formulate their conclusions, students will create and use representations to organize, record and communicate mathematical ideas (R.1) and use these representations to model and interpret physical, social, and mathematical phenomena (R.3). This is a rich problem-solving lesson indeed!
COM.3 - Analyze and evaluate the mathematical thinking and strategies of others.
COM.4 - Use the language of mathematics to express mathematical ideas precisely. | 677.169 | 1 |
Polar Calculus (expansion set)
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
1.6 MB | 8 pages
PRODUCT DESCRIPTION
I created a review game, using Snakes and Ladders. A smartphone or mobile device with a QR-code reader is required. There are 4 Polar problems + 42 Polar Calculus problems in this expansion set. The answers can be obtained by scanning the QR-code.
Types of problems included:
-Sketch and identify polar curves
-Area of polar curves
-Area between two polar curves
-Arc Length and Surface Area of Polar Curves
-Slope and tangent lines of Polar Curves
Add these questions to a set you already have!
Since I also use this for my own classes, the links from the QR-codes will remain in place. I am in the process of creating more of these for both my Calculus class as well as my Algebra II class.
If you encounter any problems with the cards, please send me an email! MrsCarlsonCHS(at)gmail.com | 677.169 | 1 |
3. Computer Mathematics - Definition One of the common misunderstandings among computer users is a certain faith in the infallibility of numerical computations. That is, if you multiply, say
Bits, bytes, nybbles, and unsigned integers
Almost all computer users understand the concept of a bit (that is, a 1 or value encoded by the setting of a switch of some kind). A single bit can represent two states Therefore, if you take two bits, you can use them to represent four unique states:
6. Computer Mathematics This section will open new vistas in your horizons. We are going to learn how the computer deals with numbers larger than 255, and also how to use the hexadecimal numbering system.10. Computer Mathematics COMPUTER MATHEMATICS. This section will open new vistas in your horizons. We are going to learn how the computer deals with numbers larger than 255,13. Elementary Computer Mathematics Elementary Computer Mathematics. In the last three decades of the twentieth century, the computer has evolved from a mainframe leviathan usable only by highly trained
Elementary Computer Mathematics
In the last three decades of the twentieth century, the computer has evolved from a mainframe leviathan usable only by highly trained professionals to the personal computer in use on nearly every desktop. The first three decades of the 21st century promise even more dramatic changes, fueled by research in artificial intelligence, nanotechnology and even biotechnology. In order to be successful in this constantly changing field, computer professionals must be much more than merely knowledgeable users. The mathematics underlying these technologies changes far more slowly than the technologies themselves, and it is a thorough understanding of computer mathematics which enables the computer professional to adapt to the ever-changing technological landscape. This hypertextbook is an introduction to the mathematics used in the design of computer and network hardware and software. Its goal is to prepare the student for further coursework in such areas as hardware architecture, operating systems internals, application programming, databases and networking. In it, we will survey topics in computer arithmetic and data representation, logic and set theory, graph theory and computer measurement. It is assumed that the student has recently (and successfully!) completed a course in high school-level algebra. While we will make some use of that algebra, the primary prerequisite is a sufficient level of "
16. Taylor & Francis Journals: Welcome International Journal of Computer Mathematics and mathematical techniques that are of interest to computer users in the fields of numerical analysis,
International Journal of Computer Mathematics
Section A: Computer Systems: Theory This section contains work concerning research and development in computer systems and the theory of computing in general. Papers relating directly or indirectly to all aspects of these fields are welcome. Of great interest is work in computer systems architectures and organization, computer software and hardware, analysis of algorithms, artificial intelligence, automata, bio-informatics, brain-computer interfaces, calculi, computational complexity, computational aspects of combinatorics and graph theory, computational geometry, computer graphics, computer security, concurrency and parallelism, cryptography, data structures, formal languages, haptics, knowledge discovery, computational logic, networks, novel models of computation such as DNA and quantum computing, randomization, semantics, symbol manipulation and the Internet. The Journal is intended to provide a forum for the expression of new ideas, as well as a place for exposition of these areas of knowledge. Section B: Computational Methods: Application
18. Essential Computer Mathematics This document contains the solutions to problems posed in the book 'Theory and Problems of Essential Computer Mathematics' by Seymour Lipschutz (Schaum's outline series).
19. FoCM A nonprofit organization that supports and promotes research on foundations of computational mathematics.
20. Computer Mathematics Using Graphing Calculators The Virginia Department of Education is pleased to announce the development of a set of materials to help interested high schools and mathematics teachers implement a Computer
COMMONWEALTH OF VIRGINIA DEPARTMENT OF EDUCATION P.O. BOX 2120 RICHMOND, VIRGINIA 23218-2120 PRINS. MEMO NO. November 11, 2003 ELEMENTARY / MIDDLE / SECONDARY TO: Principals FROM: Patricia I. Wright Assistant Superintendent for Instruction SUBJECT: Computer Mathematics Using Graphing Calculators The Virginia Department of Education is pleased to announce the development of a set of materials to help interested high schools and mathematics teachers implement a Computer Mathematics course in which the graphing calculator is the primary computing device. Computer Mathematics is a Board of Education approved course based on the Standards of Learning content adopted in October 2001. This mathematics course is considered above the level of algebra and geometry and may be used to satisfy a standard unit of credit toward the Standard and Advanced Studies Diplomas. Examples of course sequences fulfilling the mathematics requirements for a Standard Diploma are (a) Algebra I, Part 1; Algebra I, Part 2; and Computer Mathematics; or (b) Algebra I, Geometry, and Computer Mathematics. Computer Mathematics may also be used with Algebra I, Geometry, and Algebra II to fulfill the mathematics requirements for an Advanced Studies Diploma. | 677.169 | 1 |
Calculus - the most important topic for IIT-JEE aspirants - constitutes a major part of modern mathematics. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. Learn More
The book has a two-fold advantage: (a) Conceptual strength provided by accurate, precise but sufficient coverage of topics; (b) solved and unsolved problems as per JEE (Main & Advanced) pattern for strengthening concepts Learn More
This book has been written by a pioneer teacher associated with JEE (Main & Advanced) coaching, Dr. G.S.N. Murti, along with Dr. U.M. Swamy who had an illustrious career as a renowned mathematician. The topics covered in this book Learn More
Learning English Composition requires a rigorous practice of both reading and writing, but this practice must not be unstructured and aimless: you have got to follow a well-structured learning program. This book guides you on the basic organization of an essay and provides a plethora of writing topics. Learn More
Geometry - the branch of mathematics which received the earliest attention in the history of mathematics - offers the most bewildering choice of where to start and how to approach the subject. Geometry holds a great deal of importance in science and engineering. This book offers all important topics of geometry covered in the syllabus of JEE (Main & Advanced). Learn More
This adapted version of one of the world's most successful and popular books combines the Solomons and Fryhle approach to Organic Chemistry with JEE (Main & Advanced) requirements and is now a part of Wiley's Maestro Series. Learn More
The book is rich in conceptual strength and enriched with problem-solving tools and assessment that makes it a one-stop solution for JEE (Main & Advanced) aspirants. It provides a sound foundation in fundamentals of chemistry upon which theoretical models are constructed. Learn More
Cons Learn More | 677.169 | 1 |
Quiz and Exam Schedule
During the semester, there will be five 25-minute quizzes, a mid-term exam and a final exam:
Quizzes
All of the quizzes will be given during Friday class sessions, on 2 Sept., 23 Sept., 4 Nov., 18 Nov. and 2 Dec.
Each quiz will cover the class material presented since the previous quiz (or mid-term exam). The lowest quiz score will be dropped in calculating the final grade.
Mid-term exam
There will be one mid-term exam, on Friday, 7 October. This exam will cover all of the material previously presented in class.
Final exam
A final, cumulative, exam will be given during the regularly-scheduled 2-hour exam period: 8:00 AM, Friday, 12 December. This exam will be cumulative, covering everything from the semester.
The schedule for quizzes and the mid-term exam is subject to change. The date of the final exam is not!
Sample Quizzes and Exams
The best preparation for the quizzes and exams are the homework assignments, together with careful review of the class material. For further practice problems, this page has links to the quizzes and exams from the last two times the course was taught, Spring Semester 2011 and Fall Semester 2015, in pdf (Adobe Acrobat) format.
Final Exam
As with the mid-term exam, the final exam will include a list of basic equations covered during the course. These equations can be downloaded here. Please be sure to read the introductory comments.
As you will see from the previous quizzes and exams, the questions are intended to test your ability to apply what you have done in class to new, but related, situations. This year's quizzes will be similar in spirit but different in detail.
The exact topics covered by the individual quizzes and exams will reflect the lecture material, which varies a bit from year to year. In particular, in previous years the class has included some computer programming with the Python language, which will not be included this year.
For full credit, questions must be answered clearly and completely. But, a short answer is often better than a long one! All of the work for calculations must be shown, and correct units must be included in answers.
Answers to these quizzes are not provided here. The best way to use these quizzes, by far, is to first sit down with one of them by yourself and try hard to work the problems. After you have given the problems serious thought and done as much as you can on your own, then compare your results with those of other students. Also feel free to ask the TA or the instructor for help. | 677.169 | 1 |
Traducción al Español
Algebra
* note: Kyale is pronounced like the university Yale with a k sound added to the start of the syllable.
Course
description: We will build on what they know to discover
the rules and applications of Algebra. Emphasis will be placed on scholars'
ability to analyze information in the form of numerical data, and look for a
way to model the data mathematically. Presentations will be an almost daily
part of the course. Scholars will develop the ability to clearly communicate
the logical approach they have taken to solving problems. All scholars must
present. Scholars are encouraged to respectfully challenge each other's
thinking and offer various viewpoints in order to lead each other to ever
better methods. There are many ways to successfully approach mathematical
problems. The more you know the more you gain. Proportionality will be a
reoccurring theme connecting the world around us with numbers.
Course
objectives:
Scholars will:
·Learn
to connect numbers with properties of objects such as length, volume or weight.
·Understand
that mathematics is a tool for organizing ideas and addressing questions.
·Prepare
for success on the ACT and SAT.
Materials
required:You must have these materials by Monday, September 12
·Writing
utensil (preferably pencil)
·Spiral
notebook for this class only
·Folder
for this class only
Units:
1.Proportional
Reasoning
2.Foundations
for Algebra
3.Intro
to Functions
4.Linear
Equations and Inequalities
5.Solving
Systems of Equations and Inequalities
6.Modeling
with Non-linear Functions
7.Quadratics
8.Statistics
Ideas for if
you need help:
1.Check
your notes for similar examples or helpful formulas.
2.Ask
a friend to help you get started, but don't copy their work!
3.Go
to
and search for the topic we're studying. You can watch a video or try some
practice exercises to help you feel more comfortable with the topic.
4.Email
Ms. Meyers or Mr. Kyale with your specific question.
5.Come
in any day before school. Ms. Meyers or Mr. Kyale will always be there at 7:30.
6.Arrange
a time to stay after school with Ms. Meyers or Mr. Kyale.
Academic
Integrity:
·Students
who have exactly the same work will both receive 0s.
·Students
who are cheating on quizzes, tests, and exams will also receive a 0.
·Plagiarism
will also result in a 0 on that assignment.
·If
you are helping your friend, make sure that you don't tell them the answer. You
can show them where they made a mistake, you can say that you got a different
answer, you can ask questions, you can talk through examples together. If you
don't know
·how to help without letting them copy your work, have them go ask
Ms. Meyers or Mr. Kyale for help.
Grading: Grades will be determined using the following
percentage (and professional
status): Mr. Kyale uses participation points to model how our professional
community and managers view our contributions to society:
● See Active Participation with Scholar
Points and Conditional Homework Addendum for details.
● Make sure your parents understand that 30% of this
grade will start at 0%. That is and F. And each scholar must earn his or her
way to a higher Scholar Point Status.
Homework:
● See Active Participation with Scholar
Points and Conditional Homework Addendum for details.
● Make sure your parents understand that the entire
homework grade will be at 0 while expectations for
Mastery:
Your mastery grade will include mental math objectives and
content-related objectives for the current unit. These grades will come from
quizzes, tests, projects, conferences, and other opportunities for you to show
that you have mastered the content. Some standards will continue across unit
and you will have multiple opportunities during each semester to demonstrate
mastery of a particular standard.
Growth
This category refers to how much improvement a student
demonstrates on a set of college- readiness related-standards, as measured by
periodic "interim exams".
Final exam
The final exam will be a cumulative assessment at the end of
the semester based on standards assessed throughout the semester. There will be
no retakes on the final exam.
Absences:
If you are absent, you must copy the notes from someone on your own time- NOT
during class. You also need to get the work you missed from Ms. Meyers or Mr.
Kyale.
·Students
with unexcused absences will receive a zero for any assignments due the
day of your absenceas well as any participation or homework given the
day you missed.
·Students with excused absencesmust
turn in assignments due the first day of your absencethe day you
return, or they will be considered late. You will have one day for every day
missed to complete all assignments given during your absence.
Late Work:
·Late work will bring your homework grade to a
zero and require meeting with Mr. Kyale or Ms. Meyers outside of class to
complete a recovery plan that will be more rigorous than the initial work.
● The highest scoring scholar in each class will earn 100% if they have more than 800 P.
● Scholar points may be given and taken away.
● An unexcused absence or missed homework will cost 5 Scholar Points.
● Misconduct related to lead scholar responsibilities may halve or quarter Scholar Points.
● Getting through the semester with no missed days will double Scholar Points.
● Never being tardy or using the bathroom pass will double Scholar Points.
● Always having homework done well and completed on time will double Scholar Points.
● 5 scholar points are earned each week for participating in class.
● More points may be earned by successfully applying for and filling lead scholar positions.
● Scholar Points may also be earned for extraordinary work or subject related projects completed outside of class.
● Each scholar is responsible for letting the teacher or class manager know when they reach a new level of scholar points. No notice, no grade boost. Keep track of your own Scholar Points.
● Make sure your parents know that you should have at least 100 P before first quarter.
Homework:
● Make sure your parents know that homework is graded conditionally. You start with 100%.
● Your grade for homework will never be less than 95% while you are meeting expectations.
● As soon as homework is poorly done or past due, the entire homework grade will go to 0% until you work with Mr. Kyale or Ms. Meyers to get back on track. This will require more work than the initial assignment. Once on track your grade will return to the maximum.
● The maximum will be reduced by 5% if it takes more than a week to get back on track, or homework is neglected more than once.
● Homework assignments will be given frequently. Your homework must be finished before the beginning of class on the day it is due.
● During projects, you will be asked to complete components within a specified timeline. This part of your project grade will count towards homework.
Honors: Learn skills to succeed as a grad student and earn a doctoral degree (PhD).
● Scholars wishing to earn Honors credit will have to meet to the following in addition to all other expectations:
o Earn more than 800 Scholar Points. o Gain and maintain a 20 P position as a Lead Scholar in good standing.
• Fill a position listed as 20 P per week.
• Fill a 10 P position and do extraordinary work to ensure a 10 P bonus every week.
• Gain teacher approval for a new position worthy of 20 P per week.
• Create a commission with a rubric for tracking progress worth 20 P per week. | 677.169 | 1 |
Physics is frequently one of the hardest subjects for students to tackle because it is a combination of two of the toughest subjects for most students: Math and Word Problems. If you understand the math but don't do well in word problems or you understand word problems but have no idea where to begin with the math, you'll have trouble with physics. The Physics Tutor Series is a complete Physics course for the beginning physics student and a great refresher course for continuing students. The entire course is a 24 lesson series covering all of the core topics in detail. What sets this series apart from other physics teaching tools is that the concepts are taught entirely through step-by step example problems of increasing difficulty. It works by introducing each new concept in an easy to understand way and using example problems that are worked out step-by-step and line by line to completion. If a student has a problem with coursework or homework, simply find a similar problem fully worked on in the series and review for the steps needed to solve the problem. Students will immediately improve their problem-solving skills which will help with homework and exams and will have a reference for many of the commonly asked problems in Physics. Newton's Laws of Motion - Learn the most basic laws of physics, Newton's three Laws of Motion. Jason Gibson explains inertia, force and action and reaction, by working out specific problems step-by-step, demonstrating how to decompose the motion and apply Newton's second law of motion in each direction in order to understand the complete picture of the motion of the body. About Jason Gibson - Jason holds M.S. degrees in Electrical Engineering and Physics from the University of Texas. He has been teaching Math Tutor programs since 2004, with his proven methods of helping students understand basic math and physics principles step-by-step, using practical examples. | 677.169 | 1 |
Since the publication of the sixth edition of this benchmark text, numerous advances in the field have been made – particularly in stem cells, 3D culture, scale-up, STR profiling, and culture of specialized cells.
This practical introduction to the techniques needed to produce high-quality mathematical illustrations is suitable for anyone with basic knowledge of coordinate geometry. Bill Casselman combines a completely self-contained step-by-step introduction to the graphics programming language PostScript with an analysis of the requirements of good mathematical illustrations. The many small simple graphics projects can also be used in courses in geometry, graphics, or general mathematics. | 677.169 | 1 |
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Online Boolean Algebra Tutoring
Online Tutoring for Boolean Algebra
What is Boolean algebra?
Boolean algebra is best associated with the science of computers. It is used primarily in this field and to express the relationship between a group or groups of concepts or objects. These groups are also known as sets. This branch of algebra gets its name from the scientist who invented it in 1850, George Boole. Boole developed this branch to manipulate statements that are logical, algebraically. This manipulation allow one to establish whether a statement is true or false and it also establishes the fact that complex statements can be rephrased into simpler ones without their meaning changing. Boolean algebra is also called Boolean logic. The concept of Boolean algebra was taken further by two English mathematicians. This evolution resulted in a diagrammatic representation of the Boolean notations. This representation is more commonly known as Venn diagrams, named after John Venn, the mathematician and logician that first introduced the concept.
Why study Boolean algebra?
Boolean algebra is based on logic. It is also based on the theory of binary concept. Since this is an algebra that is purely logical, it is used to concepts in theory. This is not an algebra that is used to directly solve problems. Knowledge of Boolean algebra is absolutely essential if you are interested in the digital field, i.e. computers. The system of symbols of Boolean algebra is used to design networks and logic circuits for computers. Besides being important to those seeking a career in the field of computers, Boolean algebra is also must for student studying electrical engineering as it is applied in this field as well. In short if you are looking at a career that deals with objects or ideas that revolve around a binary concept, studying Boolean algebra is a subject you should definitely be considering. | 677.169 | 1 |
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Topics in Applied Mathematics: Mathematics for Multimedia
Survey of the mathematics behind the algorithms and computer software used to present large amounts of digitally coded information (text, images, sound). The subject matter divides into the "continuous" (the mathematical properties of physical signals and the algorithms used to process them, treating them as an approximation to reality whose quality must be kept up) and the "discrete" (algorithms that manipulate exact data, where the main problem is reducing the computer's workload). Concepts will be explored both through mathematics and hands-on computer experiments. Prereqs: Math 449 or permission of instructor. | 677.169 | 1 |
ADAGE approach to mathematics and the concept of *function
Abstract
This study examined a reform pre-calculus course and its innovative approach to teaching mathematics. The course, Interdisciplinary Math and Science, was observed for a year and its learning environment and unique ADAGE (activity, data, analysis, generalizations, extensions) approach to teaching mathematics were described and evaluated. The evaluation made use of concept maps and traditional assessment instruments to compare student understanding of the concept of function. Thirteen students from the reform class and 13 students from traditional pre-calculus sections were asked to construct concept maps for the concept of function. A traditional assessment on function procedures and properties was also administered to both groups of students. The results indicated that students instructed under the ADAGE approach developed a richer conceptual understanding of function than their peers from a traditional pre-calculus classroom. Additionally, the ADAGE students performed as well on procedural function tasks as the pre-calculus students and demonstrated significant improvement in their personal math attitude and aptitude. ^
Subject Area
Education, Mathematics
Recommended Citation
Mann, Robert R, "The ADAGE approach to mathematics and the concept of *function" (2000). ETD collection for University of Nebraska - Lincoln. AAI9991996. | 677.169 | 1 |
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When Julie Miller began writing her successful developmental math series, one of her primary goals was to bridge the gap between preparatory courses and college algebra. For thousands of students, the Miller/ONeill/Hyde (or MOH) series has provided a solid foundation in developmental mathematics. With the Miller College Algebra series, Julie has carried forward her clear, concise writing style; highly effective pedagogical features; and complete author-created technological package to students in this course area.
The main objectives of the college algebra series are three-fold:
-Provide students with a clear and logical presentation of the basic concepts that will prepare them for continued study in mathematics.
-Help students develop logical thinking and problem-solving skills that will benefit them in all aspects of life.
-Motivate students by demonstrating the significance of mathematics in their lives through practical applications. | 677.169 | 1 |
Chapter Wise Test
Chapter wise test by ask-math. After learning a particular topic and if the student wants to check whether he or she has understood the topic well or not. For that ask-math has created chapter wise test.
Each test is based on CBSE curriculum and CBSE pattern. If the student is really want to score good marks in his /her school then this test is very important and beneficial for him/her. For taking the test, you have to check your grade(class) and accordingly click on chapter-wise link given below.
Class 7th
Class 8th
Test on Integers Test on Fractions and Decimals Test on Data Handling Test on Simple Equations Test on Lines and Angles Test on The Triangle and its properties Test on Congruence of Triangle Test on Comparing Quantities Test on Rational Numbers Test on Practical Geometry Test on Perimeter and Area Test on Algebraic Expressions Test on Exponents and Powers
Test on Rational numbers Test on Linear equation in one variable Test on Understanding Quadrilateral Test on Practical Geometry Test on Data Handling Test on Squares and Square Roots Test on Cubes and Cube Roots Test on Comparing Quantities Test on Algebraic expressions and Identities Test on Mensuration Test on Exponents and Powers Test on Direct and Inverse Proportions Test on Factorization Test on Introduction to Graphs
Class 9th
Class 10th | 677.169 | 1 |
Delivery :
It is well known that mathematics is an essential tool for engineering and scientists. It provides material that can help people working in applied sciences. Generally, it widens the skills and abilities of humans for logical analysis, correct thinking in problems and therefore deciding the suitable decisions. This book "APPLIED MATHEMATICS FOR ENGINEERS" lies in six Chapters. In each Chapter the scientific material is given and illustrated in a simple method, covered with enough solved examples which are suitable for engineers as well as students who are interested in topics of this book. Moreover, at the end of each Chapter there are additional unsolved problems for training and applications. | 677.169 | 1 |
Algebra, Structure and Use is intended for a beginning or elementary algebra course offered at both two- and four-year schools. Elementary Algebra Structure and Use is an introductory text for students with either no background in algebra or for those students who need review before proceeding further. New accessible four-color design and an expanded graphics program make the book more visually appealing and reinforce critical concepts. Student success and anxiety reduction are achieved through a non-threatening, informal writing style and the use of numerous pedagogical aids (e.g., examples with "matched problems," annotations, think boxes, new chapter summaries, and cumulative reviews). The text is designed to smooth the transition from arithmetic to algebra by gradually developing algebraic concepts, manipulations, and applications. There are 6,400 graded problems which range from easy and routine to challenging and conceptual. The inclusion of a large quantity and variety of significant and interesting real-world applications should convince even the most skeptical students that algebra can be extremely useful. | 677.169 | 1 |
Introducing the Absolute Value Function
Ninth graders explore absolute value functions. In this Algebra I instructional activity, 9th graders examine data by comparing individual data points to the mean by finding the differrence and the distance from the mean. Students investigate the absolute value function in the y=register to model the relationship between the distances and the differences. | 677.169 | 1 |
VSB Math
The Mathematics VSB Course will discuss topics in Algebra. The first lesson will lay the groundwork for all succeeding lessons, by familiarizing the user with definitions and notations that will be used throughout the course | 677.169 | 1 |
9.2 - Systems of Linear Equations in Two
The sum of two numbers is twice their
difference. The larger number is 6 more
than twice the smaller. Find the numbers.
The admission fee at an amusement
park is $1.50 for children and $4.00 for
adults. On a certai
2412ReviewforTest3
Sketch the curve (as accurately as possible) represented by the parametric equations. Use arrows to show the direction of the curve.
Eliminate the parameter and write the corresponding rectangular equation whose graph represents the cur
Math 2412 TEST 3
Spring 2015
Sketch the curve (as accurater as possible) represented by the parametric equations. Use arrows to Show the
direction of the curve. Eliminate the parameter and write the corresponding rectangular eg uation whose graph
repres
9.8 - Partial Fractions
Decomposition of Partial Fractions
1) Divide, if improper (leading power in numerator is
greater or equal to the leading power in denominator)
2) Distinct Linear Factors
3) Repeated Linear Factors
4) Quadratic factors of the form (
PRECALCULUS Advice
Showing 1 to 3 of 4
Ms. Spalding is the best math teacher you will ever have. Her teaching style is effective and clear. Don't be afraid of asking questions, she will be there for you. She explains everything very well, and answers questions in detail.
Course highlights:
There were some Trig and College Algebra topics, but she will prepare you for Calculus if you need that course.
Hours per week:
6-8 hours
Advice for students:
Do the Homework problems as they help you understand the material better. Do the reviews when they are posted.
Course Term:Fall 2016
Professor:Andrea Spalding
Course Tags:Math-heavyBackground Knowledge Expected
Nov 10, 2016
| Would highly recommend.
Pretty easy, overall.
Course Overview:
It is surprisingly interesting, and the teacher understands you and wants to help.
Course highlights:
I learned about everything precalculus related, such as average rates of change, piecewise functions, and sequences.
Hours per week:
3-5 hours
Advice for students:
It is really nice, just don't lose track of your schedule and stay on task.
Course Term:Fall 2016
Professor:Andrea Cordaway
Course Tags:Math-heavyGreat Intro to the SubjectMany Small Assignments
Nov 03, 2016
| Would highly recommend.
Not too easy. Not too difficult.
Course Overview:
I would recommend this course because it is a very good foundation if you are going to take Calculus I & II. it brushes up your knowledge in Trig and algebra as well as some topics you will see in calculus I & II. I highly recommend it.
Course highlights:
i learnt topics like partial fractions, sequence and series which i came across in calculus II; and hyperbola (conics) which i encountered in calculus I.
Hours per week:
3-5 hours
Advice for students:
self belief and hard work are keys to success. nothing good comes easy but you can overcome every obstacle through resilience and perseverance. it doesn't matter how many times you fail, what matters is how many times you pick yourself up; THE ONLY PERSON THAT CAN STOP YOU IS YOU.
Course Term:Spring 2016
Professor:Rashmi Mehta
Course Required?Yes
Course Tags:Always Do the ReadingMany Small AssignmentsParticipation Counts | 677.169 | 1 |
Active Algebra: Guided Practice Book - Algebra I Crash Course
Grade: 8-12
Item: 10361
ISBN: 9780743903615
Language: English
Description
This Student Guided Practice Book engages students, providing them with guidance that will help them improve their algebra skills, preparing them for standardized tests. This crash course includes carefully constructed algebra problems and weekly standardized test-practice activities to clarify Algebra I concepts.
Other books from the same seriesOther books you might likeExploring Math: Levels A-E Set
Grade: 1-5
Interest Level: 1-5
Item Number: 11031
Price: $2499.95
These Spanish-translated, dynamic kits give teachers everything they need to support a year-long mathematics curriculum for Grades 1-5, meeting focused intervention and reinforcement needs in a variety of instructional settings.
TIME No Way! Amazing Activities, 3-Book Set
Grade: 7
Lexile: 950L-1010L
Guided Reading Level: U-Y
Interest Level: 7
Item Number: 27647
Price: $29.97
This 3-book set of nonfiction readers features purposefully leveled texts that will build students' critical reading skills and engage different types of learners while they are immersed in high-interest content.
Dig into problem solving and reflect on current teaching practices with this exceptional resource. Meaningful instructional tools and methods are provided to help teachers understand each problem solving strategy and how to use it with their students.
180 Days of Math for Second Grade
GradeMath Games: Getting to the Core of Conceptual Understanding
Grade: K-8
Item Number: 51013
Price: $99.99
Focus on the teaching and learning of mathematics through the use of games. This resource provides both teachers and students with rich opportunities to engage in the Standards for Mathematical Practice.
Think It, Show It Mathematics: Strategies for Explaining Thinking
Grade: 3-8
Item Number: 51051
Price: $39.99
Help students put their thinking onto paper with step-by-step strategies that develop concise writing and discussion skills. Students learn how to express themselves mathematically, think conceptually, and gain essential critical-thinking skills.
Reading Strategies for Mathematics
Grade: 1-12
Item Number: 51151
Price: $39.99
Help students read and build conceptual understanding of mathematics content! This 2nd edition resource provides current research about content-area literacy instruction and includes key strategies to help students read and comprehend mathematics content. | 677.169 | 1 |
Arithmetic and Geometric Sequences Lesson
Compressed Zip File
Be sure that you have an application to open this file type before downloading and/or purchasing. How to unzip files.
4.82 MB
PRODUCT DESCRIPTION
The product is a zipped folder containing a lesson on Sequences in PDF form. A blank lesson is provided as well as a filled in version with my handwritten notes. The lesson includes an intro to sequence notation, Arithmetic sequence formulas for nth term and sum of n terms, Geometric Sequence formulas for nth term and sum of n terms, Recursive representation of sequences. The material is appropriate for any students seeing sequences for the first time, including Algebra 2, or Common Core Algebra 1. Students should have had exposure to linear and exponential functions prior to this lesson | 677.169 | 1 |
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BuyMaplesoft Maple 2016.2 1194701 64-bit 32-bit
The Essential Tool for MathematicsMaple is math software that combines the world's most powerful math engine with an interface that makes it extremely easy to analyze, explore, visualize, and solve mathematical problems.... see full description | 677.169 | 1 |
Presentation (Powerpoint) File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.2 MB | 35 pages
PRODUCT DESCRIPTION
This is a very cool power point, and it is with utmost enthusiasm that I share the lesson! The slides will guide students through new skills that are used in simplifying algebraic expressions. Terms such as "coefficient" are introduced, and they learn to readily recognize "like" terms. They explore additional skills along with combining like-terms: simplifying expressions with grouping symbols, writing and simplifying functions, and they write and simplify expressions for the perimeter of various geometric shapes. Also included in the lesson are a couple of word problems that challenge them to write their own equations and solve these equations by using their newly acquired knowledge. This is, without a doubt, one of my favorite slide shows for the kids! Thanks for your interest in this product, and have a happy day | 677.169 | 1 |
ISBN 9788174504869
ISBN-10
8174504869
Binding
Paperback
Number of Pages
465 Pages
Language
(English)
Subject
School
Mathematics Textbook for Class XI is a textbook for mathematics for class XI students. Published by NCERT, this book is designed to make mathematics enjoyable for students. The book focuses on the fact that this subject is more than just calculations and formulas, and makes it real fun to learn mathematics. It teaches students to pose as well as solve problems without any hassle. The book is written and formatted in such a manner that students can understand the fundamentals of mathematics without any difficulty. One chapter of the book is devoted to mathematical reasoning that covers various related issues. Finally, it has two appendices that discuss infinite series and mathematical modeling. | 677.169 | 1 |
Product Description:
Classical Mechanics with MATLAB Applications is an essential resource for the advanced undergraduate taking introduction to classical mechanics. Filled with comprehensive examples and thorough descriptions, this text guides students through the complex topics of rigid body motion, moving coordinate systems, Lagrange's equations, small vibrations, and the special theory of relativity. Step-by-step illustrations and examples and computational physics tools further enhance learning and understanding by demonstrating accessible ways of obtaining mathematical solutions. In addition to the numerous examples throughout, each chapter contains a section of MATLAB code to introduce the topic of programming scripts and their modification for the reproduction of graphs and simulations.
REVIEWS for Classical Mechanics with MATLAB Applications | 677.169 | 1 |
Our Junior Math Courses
Page Content
Mathematics 8 (MMA- -08)
This course should be viewed as a richer extension of Mathematics 7. The emphasis is on multiplicative reasoning applied to mathematical objects encountered in elementary mathematics, such as integers and fractions. Ratio and rates, surface areas and volumes, and linear relations are among the key concepts explored in this course.
Mathematics 8 (MMA- -08POD)
This course is intended for students who need a thorough review of foundational concepts, and a good grounding in the fundamentals of Mathematics 8. In most cases students would have been recommended by their elementary school teacher. Successful students will move on to Mathematics 9, upon recommendation of the teacher, or to Math 9 POD.
Mathematics 9 (MMA- -09)
Reasoning and foundational algebraic concepts (linear equations) are the focus in this course. Students will explore notions such as inequality and non-linear growth, and learn deductive reasoning skills in the context of circle geometry.
Mathematics 9 POD (MMA- -09POD)
This course has its content selected and organized for the continuing learner who is weak in basic skills. It continues to extend the development of basic skills learned in previous courses. Successful students may move on to Foundations Math 10/Pre-Calculus Math 10 upon recommendation of the teacher. In most cases, students will move on to Apprenticeship and Workplace Math 10 the following year.
Apprenticeship & Workplace Math 10 (MAWM-10)
This course is intended for students who do not need abstract algebraic skills for their future studies including students who plan to enter college programs such as those offered by BCIT or Langara. The focus will be on re-enforcement of fundamental reasoning skills in the contexts of income and currency exchange, basic trigonometry, analysis of games and puzzles, and manipulation of formulas.
Foundations & Pre-Calculus Math 10 (MFMP-10)
This course is intended for students who have demonstrated mastery of Mathematics 8 and Mathematics 9. The level of abstraction in this course is a quantum leap up from earlier years. The building blocks of calculus – functions, slope, and polynomial algebra – are at the core of this course. Students completing this course will have three options for the following year. | 677.169 | 1 |
Personally, I've never found a book that gives a fantastic explanation. Go to your maths teacher/tutor, get a basic understanding, then use Google to get your hands on as many practice questions as you possibly can. | 677.169 | 1 |
Engineering Mathematics with Global Student Access Card
Overview
This book provides a complete course for first-year engineering mathematics. Whichever field of engineering you are studying, you will be most likely to require knowledge of the mathematics presented in this textbook. Taking a thorough approach, the authors put the concepts into an engineering context, so you can understand the relevance of mathematical techniques presented and gain a fuller appreciation of how to draw upon them throughout your studies. This MyMathLab edition comes with student access to MyMathLab Global(R), a powerful online homework, tutorial and self study system to enrich your learning. Containing hundreds of extra practice questions to support your study of each topic in the book - MyMathLab Global provides automatic, instant feedback and support tools to help you better understand the mathematical concepts. | 677.169 | 1 |
Sample Schedule
Planning your four year schedule as a mathematics major.
Contents
Each student's course work will vary accourding to credits taken in high school, ability level, individual preference, and career goals. The following represents a typical schedule. Well-prepared students can begin at a more advanced level. The mathematics major requires two upper-division year-long sequences and an additional upper-division course.
Students thinking of majoring or minoring in mathematics should contact the department as soon as possible, even if they are not ready to formally declare a major.
Mathematics (B.A.) Typical course of study:
Year
Fall
Spring
1
Calculus I
Calculus II
2
Calculus III Principles of Mathematics
Introduction to Linear Algebra
3
Upper division mathematics sequence
Upper division mathematics sequence
4
Upper division mathematics sequence Upper division mathematics Course
Upper division mathematics sequence
In thinking about a schedule of classes it is useful to look at how often classes are typically taught and when they will be available.
The upper division math sequences offered every year:
MATH 3550-4550/4570 - Differential Equations
MATH 3850-4800/4840/4870 - Probability and Statistics
MATH 4110-4120 - Algebra
MATH 4210-4220 - Analysis
MATH 4310-4320 - Complex Variables
Other upper division math courses that are not part of the sequences but are routinely offered at least every other year: | 677.169 | 1 |
Book Detail
Book Description
Introductory Statistics follows the scope and sequence of a one-semester, introduction to statistics course and is geared toward students majoring in fields other than math or engineering. This text assumes students have been exposed to intermediate algebra, and it focuses on the applications of statistical knowledge rather than the theory behind it. The foundation of this textbook is Collaborative Statistics, by Barbara Illowsky and Susan Dean, which has been widely adopted. Introductory Statistics includes innovations in art, terminology, and practical applications, all with a goal of increasing relevance and accessibility for students. We strove to make the discipline meaningful and memorable, so that students can draw a working knowledge from it that will enrich their future studies and help them make sense of the world around them. The text also includes Collaborative Exercises, integration with TI-83,83+,84+ Calculators, technology integration problems, and statistics labs.
About the Author
OpenStax College is a non-profit organization committed to improving student access to quality learning materials. Our free textbooks are developed and peer-reviewed by educators to ensure they are readable, accurate, and meet the scope and sequence requirements of modern college courses. Through our partnerships with companies and foundations committed to reducing costs for students, OpenStax College is working to improve access to higher education for all.
Reviews
I am a statistics professor. Our math department has adopted this textbook. I am very impressed with the quality of this $33 book which has replaced the $200 book we were using. This is really a great book. | 677.169 | 1 |
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(Essential Mathematics
Ables Bookstore
CA, USA
$30.1539.89
FREE
About the Book
You can use this problem-solving process to solve everyday problems. You also can use the problem-solving process to find a place to live, decide on a major course of study, choose a bank, or handle a difficult situation at work. | 677.169 | 1 |
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.21 MB | 2 double sided pages
PRODUCT DESCRIPTION
Two great double sided worksheets. The first, covers analyzing graphed polynomial functions and their end behavior, plus degree and zeros. This really helps students with end behavior and domain and range concept. The backside has students graph polynomial functions by hand.
The second double sided worksheet has students simplify polynomials by add/sub/mult/FOIL and combining like terms. They also solve polynomial equations too. The backside has students factor polynomials and group factoring.
These both are really great polynomial worksheets that will really help students learn these concepts.
Please, check out my other great worksheets and packets I have listed | 677.169 | 1 |
Developed in partnership with Ravensborne College of Design and Communication and supported by Adobe UK, the Broadcast Engineering and Maths resource brings together the expertise of the broadcast industry with the Key Stage 4 Maths curriculum.
Ravensborne is held in high regard in the Broadcast Engineering industry, with graduates securing highly skilled and rewarding jobs in this growth area. These new maths resources aim to provide an insight into what role maths can play in high technology industries, but also to demonstrate the types of jobs available to high achieving mathematicians.
The series of 4 lessons take elements of broadcast engineering and explore the maths involved.
TV Scheduling
Broadcast transmitters
Data degradation
Satellite signals
Each lesson is complete with:
Video explanations from Industry experts
Curriculum mapped lesson plans
Teacher guidance videos
'Self marking' SCORM-compliant resources for use within learning platforms
Excel spreadsheet models
Interactive Whiteboard resources
Other video resources explaining concepts
The curriculum material has been produced by Grahame Smart, a Maths Advanced Skills teacher at Forest Hill School in Lewisham LA. The material has been trialled and refined with Key Stage 4 students across a range of abilities. The material is differentiated so can be used in a mixed ability or ability grouped settingThis resource has been optimised for mobile devices including iPads and iPhones.
"This unique resource helps demonstrate to the school age population the significance of maths as a subject at school, because it demonstrates so clearly the essential role that mathematical understanding plays in our everyday, and increasingly technical, lives.
Working in partnership with Ravensborne has allowed a bridge between the current school age students to gain an insight into possible skilled career pathways for when they leave school.
The resource contains a range of innovative teaching tools and resources that will allow students to explore, hypothesize. and apply their knowledge and understanding in real-world settings."
Bob Usher, LGfL Content Manager
"This resource is important because it puts relevant maths into a real-world context, and one that we use every day without necessarily thinking about the technology and maths that underpin the broadcasting system we take for granted."
Martin Uren, Subject Leader Broadcast Technology, Ravensborne College
"This resource demonstrates how difficult areas of the curriculum, such as circle theorems, loci and construction, come alive when linked to real-world problems that occur within the world of broadcasting."
Grahame Smart, Advanced Skills Maths teacher
Maths Kit
Feedback
If you have any further questions or would like to tell us what you think about this resource please contact us using the following details: | 677.169 | 1 |
Modern Mathematics: Made Simple presents topics in modern mathematics, from elementary mathematical logic and switching circuits to multibase arithmetic and finite systems. Sets and relations, vectors and matrices, tesselations, and linear programming are also discussed.
Comprised of 12 chapters, this book begins with an introduction to sets and basic operations on sets, as well as solving problems with Venn diagrams. The discussion then turns to elementary mathematical logic, with emphasis on inductive and deductive reasoning; conjunctions and disjunctions; compound statements and conditional statements; and biconditional sentences. Subsequent chapters focus on switching circuits; multibase arithmetic; finite systems; relations, vectors, and matrices; tessellations; and linear programming. The book concludes with an analysis of motion geometry and rubber sheet geometry, paying particular attention to radial enlargement and composite reflections as well as topological equivalence, networks for maps, and incidence matrices.
This monograph is intended for students, parents, and teachers who are interested in modern mathematics.
This book reflects the personal prejudices I have developed in twenty years of reading the scientific literature. I like monographs; good ones assemble a great deal of information in a logical sequence and in enough detail to enable one to see why current beliefs are held. For this purpose, it is entirely useless to write "as Smith has shown21 ,81,117 •••• " That only means that one must go to the library and turn up Smith's original papers, and one's object in reading a monograph is precisely to avoid that neces sity. One needs to know what Smith did and why he thought his observa tions proved whatever he claimed. Because life is short, it is impossible to deal with several thousand papers in this way, and the author must there fore select a relatively few papers that he regards as crucial. Often, several papers of equal merit might be quoted, and the selection is then arbitrary. I therefore apologize to authorities who do not find their work discussed. Omission does not mean that I thought their work was not valuable; it means only that I preferred to quote twenty references that people might read rather than two thousand that assuredly no one would read. Another strong prejUdice is that the full understanding of present knowledge requires one to know how present views have developed.
Applied Mathematics: Made Simple provides an elementary study of the three main branches of classical applied mathematics: statics, hydrostatics, and dynamics. The book begins with discussion of the concepts of mechanics, parallel forces and rigid bodies, kinematics, motion with uniform acceleration in a straight line, and Newton's law of motion. Separate chapters cover vector algebra and coplanar motion, relative motion, projectiles, friction, and rigid bodies in equilibrium under the action of coplanar forces. The final chapters deal with machines and hydrostatics. The standard and content of the book covers C.S.E. and 'O' level G.C.E. examinations in Applied Mathematics and Mechanics as well as the relevant parts of the syllabuses for Physics and General Science courses related to Engineering, Building, and Agriculture. The book is also written for the home study reader who is interested in widening his mathematical appreciation or simply reviving forgotten ideas. The author hopes that the style of presentation will be found sufficiently attractive to recapture those who may at one time have lost interest#Tryharder is about taking a moment to stop and do the right thing. To try a little harder in life and to be aware of the people and the world around you. To do right by others and make the additional effort to improve not just your situation but theirs as well | 677.169 | 1 |
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 4
MATH 1001
Winter 2015
Due: Friday, February 13th, 2015. SHOW ALL WORK.
1. Write each of the following in sigma notation (with i = 1 as the lower bound of summation),
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 3
MATH 1001
Spring 2015
Due: June 12th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem sets The Fundamental
Theorem of Calculus I and
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 1
MATH 1001
Spring 2015
Due: May 25th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem sets Elementary Indefinite Integrals and Indefin
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 6 Mathematics 1001 Winter 2016
Due: March 4, 2016 . SHOW ALL WORK
1. Sketch the region bounded by the given curves, and then nd the area of the region.
[4] (a) 2x+
[4]
[4]
[3]
[3]
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 7 Mathematics 1001 Winter 2016
Due: March 11, 2016 . SHOW ALL WORK
1. Use the washer method to nd the volume of the solid that is generated by revo
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 5
MATH 1001
Spring 2015
Due: July 08th, 2015. SHOW ALL WORK.
1. Use the Disc-Washer Method to find the volume of the solid obtained obtained by rotating the region enc
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 7
MATH 1001
Spring 2015
Due: July 31th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem set Indefinite Integrals
by Trigonometric Subst
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
MATH 1001
Assignment 5
Winter 2015
Due: Monday, February 23rd, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem set The Fundamental Theorem of Calc
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 8
MATH 1001
Spring 2015
FOR PRACTICE ONLY. DO NOT SUBMIT.
Note: You are encouraged to complete the WebAssign problem sets Indefinite Integrals
by Partial Fractions bef
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 2
MATH 1001
Winter 2015
Due: Monday, January 26th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem sets Indefinite
Integrals by u-Subst
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
MATH 1001
Assignment 6
Winter 2015
Due: Monday, March 2nd, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem set The Fundamental Theorem of Calculus
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 8
MATH 1001
Winter 2015
Due: Monday, March 23rd, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem set Indefinite
Integrals by Trigonomet
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 3
MATH 1001
Winter 2015
Due: Monday, February 2nd, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem set Indefinite
Integrals by Parts be
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 6
MATH 1001
Spring 2015
Due: July 17th, 2015. SHOW ALL WORK.
Note: You are encouraged to complete the WebAssign problem sets Indefinite Integrals
by Parts and Indefini | 677.169 | 1 |
Omnigraph
Investigations with Omnigraph has been written by teachers and thoroughly tested in the classroom. Investigations are presented in order of increasing difficulty. The pupil booklet gives over 150 starting points for investigations and is written so that pupil can work directly from it.
The Omnigraph graph processor is an indispensible tool for pupils of all ages. The software enables you to draw lines like y = x 1 either by typing the equation or by just clicking the screen. Graphs and shapes can be transformed and manipulated on screen. Omnigraph's features have made it the number one graphing package in UK schools.Features: Everything you need in a graph plotter for GCSE, A-level and beyond. Simple-to-use uncluttered interface that won't confuse your pupils. Type in equations exactly as you would write them. Print out graphs as if on 2mm graph paper.
Perform transformations on graphs and other shapes; graph derivatives and integrals. Show compass point solutions of differential equations. Dynamic constants - enter y = mx c and watch the effect as the values of m or c change. Enter a function such as f(x) =sin x, and then plot y = f(x), y = f(x 20), y = f(2x) etc. Pop up the equation of a graph as your cursor crosses the corresponding curve. For transformations, insert pre-drawn squares, pentagons, hexagons etc. even a flag! Graph implicit equations such as x y = 1 or xy=12. Copy your graphs to pop into other Windows applications - ideal for worksheets and coursework. | 677.169 | 1 |
Linear Algebraback in very good condition. a few pages have highlighting.
Bingo Used Books
WA, USA
$11.03
FREE
Used Very Good(1 Copy):
Very Good 8vo-over 7¾"-9¾" VG pages clean, binding tight.
Arundel Books
WA, USA
$15.52This book provides an introduction to the basic ideas, computational techniques, and applications of linear algebra. KEY TOPICS: Introductory Linear Algebra with Applications Sixth Edition emphasizes the computational and geometrical aspects of linear algebra, while keeping abstraction to a minimum and illustrating every idea with examples. It provides three different types of exercises. Exercises contains routine exercises. Theoretical Exercises includes exercises that fill in gaps in some of the proofs and can be used to challenge the more capable and interested reader. The third class consists of MATLAB exercises connected to the available MATLAB disk. In addition, the end of every chapter contains a summary of Key Ideas for Review, a set of Supplementary Exercises, and a Chapter Test. The sixth edition of Introductory Linear Algebra with Applications has been revised to incorporate recommendations from The Linear Algebra Curriculum Study Group on developing ways to improve instruction in linear algebra. A valuable reference book on the basic of linear algebra and its applications for any reader seeking information on the subject. | 677.169 | 1 |
19 Dec 2014
views:1452Real number
In mathematics, a real number is a value that represents a quantity along a continuous line. The adjective real in this context was introduced in the 17th century by Descartes, who distinguished between real and imaginary roots of polynomials.7:10
Algebra - Properties of Real Numbers
Algebra - Properties of Real NumbersMathematics - Real Numbers - Lesson 1
Real Number System
30:30
Real Numbers : CBSE Class 10 X Maths
Real Numbers : CBSE Class 10 X Maths 19 Dec 2014published: 04 Sep 2008
Mathematics - Real Numbers - Lesson 1
Real Number System
published: 10 Jan 2013 w...29:52
Mathematics - Real Numbers - Lesson 1
We are going to discuss about Real Number System in this Mathematics First LessonLecture 16: Properties of Real Numbers every | 677.169 | 1 |
2
The Problems Large number of students place into developmental math (non-college level math) Most of those who do, place into beginning algebra Most students only need statistics or liberal arts math to graduate Dev math can be a bog for students, making degree completion a challenge.
3
A New Pathways Option In one semester, Math Literacy for College Students gives a student at the beginning algebra level the mathematical maturity to be successful in statistics, liberal arts math, or intermediate algebra. It aligns with the Common Core.
7
Reading skills Critical thinking Numeracy skills Algebraic base Function knowledge Technologically competent Not intimidated by problems with words What do students need when they get to college level math?
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Outcomes Although sample sizes are small… 55-70% pass MLCS No statistically significant difference in Gen Ed math or Stats based on prerequisite (algebra or MLCS) MLCS students pass traditional intermediate algebra at a higher rate than beginning algebra students. Longterm tracking will continue for several more years. | 677.169 | 1 |
Mathematics
The purpose of a St. Mark's mathematical education is to develop students' understanding of and appreciation for the ability to make sense of the world through the lens of mathematics: space and number, logic and pattern. We nurture students' development by challenging them to be creative, critical and tenacious problem solvers, able to both share and reflect on their process and results with clarity and precision. Throughout, we seek to nurture and develop an appreciation for the joy and beauty of mathematics in all St. Mark's graduates.
The mathematics department has established the following core values: curiosity, tenacity, and clarity. These values inform and guide all that we do. The program has three principal aims: first, to establish skill and confidence in applying mathematical techniques; second, to convey the analytical power of mathematics in modeling practical applications; third, to develop sound reasoning and communication around the logical structure of the subject. The search for patterns, the recognition of analogies, and the development of various strategies for solution provide the student with insight into and understanding of the problem-solving process.
Throughout our curriculum, emphasis is placed on each student doing mathematics. We believe it is essential students actively write and speak their mathematics in order to learn to develop sound mathematical reasoning and communication skills. Graphing calculators and computers are integrated into our teaching as they have become useful in exploring and illustrating mathematical content. TI-83 or TI-84 calculators are required for most classes.
The mathematics department adheres to the following policies for placement of students in courses and in regards to summer or alternative courses.
Every new student completes a placement test. A student is placed in a course based on the score on this test, their SSAT score, the student's prior course work and the teacher recommendation. There is an additional honors placement test for those students deemed qualified to take an honors level course in Algebra II or Precalculus
Placement for returning students is based on their performance in their current courses and the recommendation of their teachers. Students recommended for Honors Algebra II or Honors Precalculus take an honors placement test.
While students are allowed, and at times, encouraged to do summer work in math, the St. Mark's math department will only grant credit for a summer or alternative course in Geometry. Credit will be earned, only if the student satisfactorily completes the course and passes the St. Mark's departmental final exam. It is our belief that when studying specific mathematics topics for the first time, students should not expect that a summer course or alternative course will provide them with the necessary depth of understanding of the material. Students who have performed poorly in a course, who wish to preview a topic, or who want enrichment are encouraged to do summer or alternative courses.
Karen M. Bryant
Scott Dolesh
Eben Healy
Brian Lester
Kinne McBride
Rick Umiker
This course is an introduction to algebra. Extensive attention is given to developing algebraic and graphical problem-solving skills. The coordinate geometry of lines and parabolas, fractions, rational expressions, integral exponentials, and linear and quadratic equations through the quadratic formula are included with an eye toward developing confidence and agility in problem solving. Algebra I Enhanced is designed for students who have already been exposed to some or all of the topics of Algebra I, but who need further reinforcement to support higher levels of study in math. Placement in these courses is determined by the Chair of the Math Department based on a placement test and the background of the student.
Geometry
This course pursues a deepening of the students' understanding of plane and solid geometrical figures and a building of their abilities to analyze and communicate mathematically. Much attention is given to logical structure and the writing of mathematical arguments as well as to geometrical problem solving.
Algebra II
This course reviews, then extends, the study of algebra with greater attention toward function. Topics include linear and quadratic functions and relations, polynomial functions, rational expressions, exponents, and logarithms and elementary trigonometry. Students are expected to broaden their problem-solving skills and techniques. Increased attention is given to multiple representations with graphs and charts used to illustrate and enhance algebraic manipulation. Honors Algebra II YearThis is an accelerated course in algebra in which topics are pursued in greater depth as well as at greater speed. Students are expected to have strong intuition and motivation for the study of mathematics. Extensive work with trigonometric functions is usually encountered, reaching beyond the topics of Algebra II. (Prerequisites: teacher recommendation, placement test, and Departmental permission)
Statistics, Functions and Trigonometry
This yearlong course is for students who have completed Algebra II. It includes an introduction to the basic concepts of statistics, a review of linear, quadratic, exponential and logarithmic functions and a study of trigonometry. Modeling data using the functions and using statistics to verify the validity of the model is an emphasis. There is extensive use of the software program Fathom. Topics include: descriptive statistics, correlation, quadratic, exponential, logarithmic regression, circular trigonometry, sequences and series. This course will not be sufficient preparation for students to take a Calculus course at St. Mark's. (Prerequisite: completion of Algebra II. This course is not open to students who have already completed Precalculus.)
Mathematical Modeling in the Life and Environmental Sciences
Fall
We will look at different ways to use mathematics to model phenomena in the natural sciences with special attention to relevant current events. Students will follow the mathematical modeling cycle to develop predictive and analytic tools to better understand complex natural systems, such as predator-prey relationships' impact on ecosystems or the factors leading to the spread—or containment —of infectious diseases. Students will develop skills in a variety of common and professional modeling tools. Essential questions • How can natural phenomena be predicted? • How can we determine an effective model for a particular phenomenon? • Why and when do mathematical models fail? (Prerequisite: completion of Statistics, Functions and Trigonometry or Precalculus. This course may be taken concurrently with Precalculus with departmental permission.)
Mathematical Modeling for Finance and Economics
Spring
We will examine how mathematical models can be used to answer key questions in finance and economics. What is the time value of money? How do we understand and consider models of risk and return? Can we model the fluctuation of share prices to our advantage? We will use simulations to revisit scenarios in the world of finance, such as the recent over-application of the Black-Scholes equation. Students will use the tools of linear algebra to model problems in economics and will develop skills in a variety of common and professional modeling tools. Essential questions
How do we measure and manage risk?
How do we predict the seemingly unpredictable?
Why and when do mathematical models fail?
How does our manipulation of a system change the system?
(Prerequisite: completion of Statistics, Functions and Trigonometry or Precalculus. This course may be taken concurrently with Precalculus with departmental permission.)
Precalculus
Extensive discussion of polynomial, rational, exponential, logarithmic, and trigonometric functions and their properties and applications is encountered. Sequences, series, and limits are also introduced. A graphic scientific calculator is required at this level for its aid in visualization and calculation. Students gain skill in analyzing functions and drawing connections between symbolic, graphic, and numerical representations. This course is primarily designed as a final preparation for the study of calculus. (Prerequisite: completion of Algebra II and departmental permission)
Honors Precalculus
This is an accelerated course in the elementary functions that includes an introduction to the study of calculus during the second half of the year. Students are expected to have exceptional intuition and motivation for the study of mathematics. (Prerequisites: one full term of analytical trigonometry from Honors Algebra II, a placement test and departmental permission)
Calculus
This is an introduction to calculus designed for students who want to study calculus before college, but who do not yet feel prepared for the pace or depth of an Advanced course. Students who have not already done so are encouraged to consider math electives as an alternative unless they expect calculus to be a required part of their future studies. (Prerequisites: Precalculus and departmental permission)Advanced Statistics Year Statistics
AB Calculus
This course develops an understanding of the major concepts of calculus. Applications and techniques of differential and integral calculus are illuminated. The concepts of calculus are studied with problems and results expressed graphically, numerically, analytically and verbally. Graphing calculators are used to help the students visualize critical concepts. Successful completion of this course is roughly equivalent to one-half year of college calculus. (Prerequisites: completion of Precalculus and departmental permission)
Advanced BC Calculus
This course is an extension and enhancement of Advanced AB Calculus. It is a more rigorous course, with a more extensive syllabus, including an introduction to power series expansions, vector calculus, and the calculus of polar curves. Successful completion of this course is roughly equivalent to a full year of college calculus. (Prerequisites: completion of Honors Precalculus and departmental permission)
Advanced Topics in Mathematics
Semester: The following courses are offered on a rotating basis as dictated by the instructor and the interest and background of the potential students. (Prerequisite: completion of Advanced AB or BC Calculus and departmental permission).
Abstract Algebra: This course is an introduction to the principles and concepts of modern abstract algebra. Topics will include groups, rings, and fields, with applications to number theory, the theory of equations, and geometry.
Multivariable Calculus: This course re-examines the differentiation and integration processes by looking at it from the perspective of more than one variable. Topics will typically include: partial derivatives, level curves and gradients, double and triple integrals, Lagrange multipliers and optimization in several variables.
Differential Equations: This course offers an introduction to the theory, solution techniques, and applications of ordinary differential equations. Models illustrating applications in the physical and social sciences are investigated. Linear differential equations and linear systems of differential equations are explored in depth. Some numerical techniques to solve differential equations will be also introduced as well as using power series and the Laplace transform.
Number Theory (Spring 2015-2015): In this course, students will investigate topics in number theory, which will include: the elementary notions of primes and divisibility, factorization, congruences; quadratic residues and reciprocity; sums of squares; continued fractions and approximations; and selected Diophantine equations.
Complex Analysis: This course covers the basic concepts and applications of complex analysis by extending the concepts of calculus to the complex plane. There will be an emphasis on computation and applications. Topics will include: Complex differentiability, Cauchy-Riemann differential equations, contour integration, residue theorem, harmonic functions, and geometric properties of complex mappings.
Mathematical Research
Fall
This course is for students who have successfully completed one year of Advanced Topics. The course includes independent or collaborative research on research problems chosen by the students. The students either write a report or make presentations to each other, the mathematics department and interested students at least once each marking period which will serve as progress reports. A goal of the course is try to get their research published in the Math Horizons or Focus publications of the Mathematical Association of America. (Prerequisite: completion of one year of Advanced Topics and departmental permission | 677.169 | 1 |
Quadratic Word Problem Notes
Word Document File
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0.55 MB | 13 pages
PRODUCT DESCRIPTION
This is a guided note template for teaching quadratics word problems. This includes a "Do Now" or beginning of class activity (on solving radical equations and simplifying radicals), an introduction or a hook that has to do with the Indiana State Exam (could be changed to any exam), and then notes teaching students how to solve quadratics word problems just by understanding some key vocabulary and concepts. Students end the lesson by practicing independently or with a partner, and with a checkpoint to ensure they've mastered material before homework is distributed. Answers are included in red. An exit ticket is included, along with challenge problems from the ACT and the ECA. Exit ticket also leaves room for student self reflection on behavior and | 677.169 | 1 |
College math problems
If you're seeing this message, it means we're having trouble loading external resources for Khan Academy. If you're behind a web filter, please make sure that the. The Math Forum is the comprehensive resource for math education on the Internet. Some features include a K-12 math expert help service, an extensive database of math. Welcome to Illustrative Mathematics. Providing instructional and assessment tasks, lesson plans, and other resources for teachers, assessment writers, and curriculum.
Find colleges and universities that offer credit or placement for AP scores. Begin your search by entering the name of the institution below AAA Math features a comprehensive set of interactive arithmetic lessons. Unlimited practice is available on each topic which allows thorough mastery of the concepts.
College math problems
Dedicated to improving the teaching and learning of mathematics. Our Pre K-12 education instructional resources, curriculum materials, digital learning tools and assessments help to educate children across North America AP Central Meta Description --> Course materials, exam information, and professional development opportunities for AP teachers and coordinators. Our Read the latest press releases from the College Board. The College Board is a not-for-profit membership association whose mission is to connect students to college. Learn why the Common Core is important for your child. What parents should know; Myths vs. facts | 677.169 | 1 |
If this element is the root element, it must have a version attribute.
Description
An equation is a formal mathematical equation
(with an optional rather than a required title).
If the MathML Module is used, equation can also
contain the mml:math
element.
Processing expectations
Formatted as a displayed block. For an inline equation, use
inlineequation.
Processing systems that number equations or build a table of
equations at the beginning of a document may have difficulty correctly
formatting documents that contain both equations
with titles and equations
without titles. You are advised to use informalequation for equations without
titles. | 677.169 | 1 |
Download Free Mathematics A Basic Introduction Teach Yourself Book in PDF and EPUB Free Download. You can read online Mathematics A Basic Introduction Teach Yourself and write the review.
Do you shy away from using numbers? Basic Mathematics can help. An easy-to-follow guide, it will ensure you gain the confidence you need to tackle maths and overcome your fears. It offers simple explanations of all the key areas, including decimals, percentages, measurements and graphs, and applies them to everyday situations, games and puzzles to give you understanding quickly and enjoyably psychology. FIVE THINGS TO REMEMBER Quick refreshers to help you remember the key facts. TRY THIS Innovative exercises illustrate what you've learnt and how to use it.
Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change, differentiation, exponential and logarithmic functions and integration. Everything you will need to know is here in one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.
Maths does not have to be difficult. This book, complete with exercises and answers, forms a course which will take you from beginner or intermediate level to being a confident mathematician. This book includes simple step-by-step explanations, to help you grasp new topics or those that have previously confused you; practice questions throughout, to help you embed your learning and improve your confidence; End of chapter summaries, to help you remember the key points you've learned; All in one great-value book, so you don't need any separate workbooks or coursebooks.
More than 60 million Teach Yourself products sold worldwide! Brush up your skills and rediscover the key math concepts and techniques Complete Mathematics provides an invaluable, step-by-step introduction to the subject. Packed full of worked examples and useful exercises, it will guide you through the essentials quickly and easily, giving you the knowledge you need to gain math confidence. Includes: One, five and ten-minute introductions to key principles to get you started. Lots of instant help with common problems and quick tips for success, based on the author's many years of experience. Tests to keep track of one's progress. Worked examples, clear explanations and exercises. Topics include: Number; Angles; Fractions; Two-dimensional shapes; Decimals; Statistics; Directed numbers; Graphs; Measurement; Perimeter and area; Algebra; Approximation; Equations; Percentages; Formulae; Circles; Probability; Three-dimensional shapes; Ratio and proportion; Pythagoras' Theorem and trigonometry; Indices and standard form; StatisticsEconomics is a huge subject, and this book is the perfect place to start. Designed specially for undergraduates, it includes features such as questions that may come up in exams, quotes from leading theorists that you can use in your essays, and case studies providing real-life examples. The book is written by Dr Thomas Coskeran, a lecturer at Durham University School of Business, who has been an advisor to both HM Treasury and the NHS. This really is the only book you need to start getting great results in economics.
This text in basic mathematics is ideal for high school or college students. It provides a firm foundation in basic principles of mathematics and thereby acts as a springboard into calculus, linear algebra and other more advanced topics. The information is clearly presented, and the author develops concepts in such a manner to show how one subject matter can relate and evolve into another. | 677.169 | 1 |
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Algebra 2: 2 fast 2 furious
Williamsburg Preparatory High School: 2010-2011 Mr. Hitt, esq. Room 431 email: ghitt@williamsburgprep.org class blog: mrhittmath.wordpress.com So here's the deal: Math can be the coolest thing that you've ever done. For realz, yo. My goal this year is to show you the beauty in math and how it is evident in our everyday lives. For this to happen, though, I will need you to be just as invested in the class as I am. This means that the following should be happening without me having to say anything: -For God's sakes, show up to class on time. It is not that hard. -Bring a pencil and a pen every single day. Yes, you must have both. -Have a notebook that is only for this class. It should be big, because notes are essential in this class. Have it every single day. We will use it fo sho'. -At this point in your mathematical career, you should be thinking about having your own calculator. You will need it in college, so you might as well get it now. TI-84 is preferred. -Be prepared to participate every day. This is the year that the reins are coming off. You are not mathematical pansies anymore. You are full-fledged mathematicians. That means that I will not be spoon-feeding you formulas. There will be times that you will say, "You aren't helping me," or, "You are being a jerk." Let it be known that your incessant whining and complaining will not weaken me. You will not become better at math unless you wrestle with math. This class will at times be difficult, but DO NOT GIVE UP. Here are some random things I need to have in writing: 1. School policy is that there is to be absolutely no food, drinks, or gum in classrooms. I am a strict enforcer of school policies. The only liquid allowed is water, and Vitamin Water® is not water. No vitamins allowed. If you have food, I will eat it. If it has tomatoes on it, I will remove the tomatoes and then eat it, because I really, really hate tomatoes. 2. Cheating is super-duper seriously bad. Here is a true rumor: anytime you cheat, a gnome will stab you in the kidney with a rusty harpoon. Then, you will have to serve detention with a bleeding kidney. Don't say I haven't warned you. 3. Be safe. Great harm has become those who have divided by zero. I don't want that on my conscience. Otherwise, act in a way that keeps yourself safe and those around you safe and happy. You need to take ownership of your own learning. Sometimes, this class will be frustrating. If you are struggling with some aspect of the class, you need to come in for assistance. I am free almost every day during lunch and am at school very early every day and stay late every day. YOU need to schedule a time to come by and get help. I have crappy meetings a lot, so make sure and ask ahead of time if I will be available.
Grading is going to be different from what you are used to. I will be giving many short quizzes. These will be assessing your understanding of specific standards of the class. You will receive a score between 0 and 5 based on the following rubric. Score Meaning 0 Student has not demonstrated any evidence of learning. 1 Student has demonstrated partial knowledge of the topic but cannot complete a problem independently. 2 Student is almost proficient in the topic but makes occasional conceptual errors. 3 Student is proficient in the topic but makes occasional computational errors. 4 Student has demonstrated mastery of the topic in basic applications. 5 Student has demonstrated comprehensive knowledge of the topic and can apply it to novel situations. Your grade will not be computed by assignment, but by your understanding of each topic. This is a big change. Instead of having a grade for completing HW 2, getting a 78 on the Chapter 3 test, or whatever, you will instead have a score on the 0-5 scale for each concept, such as: "Student can graph quadratic functions" or "Student can use the quadratic formula to solve for the roots of quadratics." You will be assessed in a variety of ways, but mostly through quizzes that allow you to show your work. Homework is PRACTICE and will be treated as such. Furthermore, there will be no extra credit. Do not ask. Here is how you will make your grade better: If, for instance you have a score of a 2 on "student can graph quadratic functions," you will schedule a time to come in and show me that you can actually graph quadratic functions. If you then score a 3, but think you can get better, you may come in again and reassess. Uno try per day por favor. This will be confusing for a while, and I will continue to explain the system as the year progresses. If you have questions about Standards Based Grading, you can meet with me during lunch or after school. If you do not have internet access at home, please let me know. I will be using the internet more, both in posting assignments and in contacting you and your parents. Class notes will be posted on the school website ( as will homework. I will also make occasional use of a blog, listed at the top of the first page. If you do not have internet access, you should make appointments with me so that you can use a school laptop, either during lunch or after school. Student Name:_______________________________ Parent Name:_________________________________ Parent Phone Number:_______________________ Student Email:_______________________________ Parent Email:________________________________ Parent Signature:____________________________ | 677.169 | 1 |
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Edexcel Level 2 Award in Algebra (AAL20) Edexcel Level 3 Award in Algebra (AAL30) Specification Awards in Algebra For first teaching from October 2012…read more
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Pearson Education Ltd is one of the UK's largest awarding organisations, offering academic and vocational qualifications and testing to schools, colleges, employers and other places of learning, both in the UK and internationally. Qualifications offered include GCSE, AS and A Level, NVQ and our BTEC suite of vocational qualifications, ranging from Entry Level to BTEC Higher National Diplomas. Pearson Education Ltd administers general qualifications.…read more
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Introduction The Edexcel Level 2 and Level 3 Awards in Algebra are designed for use in schools and colleges. They are part of a suite of mathematics qualifications offered by Edexcel.…read more
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Specification at a glance These Level 2 and Level 3 Awards consist of a single assessment at each level. Students are entered at either Level 2 or Level 3. Each qualification is awarded as pass or unclassified.…read more
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External assessment In all examination papers: diagrams will not necessarily be drawn to scale and measurements should not be taken from diagrams unless instructions to this effect are given each student may be required to use mathematical instruments, eg ruler.…read more
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Qualification content National Qualifications framework (NQF) These qualifications comply with the requirements of the statutory regulation of qualifications in England, Wales and Northern Ireland which are prescribed by the regulatory authorities. Knowledge, skills and understanding The Edexcel Level 2 and Level 3 Awards in Algebra require students to demonstrate application and understanding of the following.…read more | 677.169 | 1 |
Mathematica Cookbook helps you master the application's core principles by walking you through real-world problems. Ideal for browsing, this book includes recipes for working with numerics, data structures, algebraic equations, calculus, and statistics. You'll also venture into exotic territory with recipes for data visualization using 2D and 3D graphic tools, image processing, and music.
Although Mathematica 7 is a highly advanced computational platform, the recipes in this book make it accessible to everyone -- whether you're working on high school algebra, simple graphs, PhD-level computation, financial analysis, or advanced engineering models.
Learn how to use Mathematica at a higher level with functional programming and pattern matching
Delve into the rich library of functions for string and structured text manipulation
Learn how to apply the tools to physics and engineering problems
Draw on Mathematica's access to physics, chemistry, and biology data
Get techniques for solving equations in computational finance
Learn how to use Mathematica for sophisticated image processing
Process music and audio as musical notes, analog waveforms, or digital sound samples
Sal Mangano
Sal Mangano has been developing software since the days Borland Turbo C and has worked with an eclectic mix of programming languages and technologies. Sal worked on many mission-critical applications, especially in the area of financial-trading applications. In his day job, he works mostly with mainstream languages like C++ and Java so he chooses to play with more interesting technology whenever he gets a chance.
Sal's two books (XSLT Cookbook and Math Mathematica Cookbook) may seem to be an odd pair of technologies for a single author but there is a common theme that reflects his view at what makes a language powerful. Both Mathematica and XSLT rest on the idea of pattern matching and transformation. They may use these patterns in different ways and transformations to achieve different ends but they are both good at what they do and interesting to program in for a common reason. Sal's passion for these languages and ideas comes through in both these cookbooks. He also likes to push technologies as far as they can go and into every nook and cranny of application. This is reflected in the wide mix of recipes he assembled for these books.
Sal has a Master's degree in Computer Science from Polytechnic University.
A good intro to the programming in Mathematica with a comprehensive look at the tools at your disposal, and a lot of examples of implementations of problem-solving in various areas (from algebra to scientific and financial calculations).
Could be a bit more systematic with the introduction of the various elements of anonymous functions and patterns, which play such a big role in efficient programming in Mathematica. If you do not catch on to these, it becomes very hard to follow the rest of the book.
Although the basic functional programming, patterns etc. are part of the core language and thus unchanged, the book is based on Matematica 7, and the present version is 10.4 - so there has been a LOT of enhancements in Mathematica. Hence, the "cookbook" moniker is quite fitting, because there is a lot more to it now. Stephen Wolfram has written an introduction to the Wolfram Language and the two books together eases the learning curve.
I have been using Mathematica since the early nineties in research and during later years as a hobbyist (due to the ubiquity of matlab in engineering). Despite reading the Mathematica manuals cover-to-cover when they were available in print Mangano's book adds an understanding to the Mathematica language from a programmer's point of view that is unique and will help you produce code that is much more concise because it contains a huge number of recipes that help you express data manipulation and data structures. Even more important it is a guide how to read Mathematica code from experienced developers and that is really the secret key to learn the inner workings of any programming language. For now I just wish I could use Mathematica in a professional setting so I am looking forward to the release of the Wolfram language and the corresponding cookbook, if it is as good as this one there will be plenty of opportunities in using it professionally.
As an undergraduate in the mid-80's I looked at the available computer algebra systems with envy. (Anyone remember muMath?) I thought I'd never be able to afford one let alone have one on my desk. I even started to implement a simple symbolic manipulation program of my own. Mathematica, when I could finally convince my then employer to purchase a copy, was a dream come true. Despite the long interest, I wouldn't consider myself an expert. Far from it. This book is an excellent supplement to the four other Mathematica-related books I own. The book takes you from the basics but remains useful to the experienced user. I'm sure there are people out there who know all the tricks and tips in this book. I'm not one of them. I find something new and useful on almost each of the 800 pages.
This is as good as it gets without a personal assistant. I have used Mathematica for many years (since version 1.0) and yet this book revealed techniques that completely missed along the way. As a physicist and programmer I never got past the stage of "getting the job done" but this revealed techniques and tools like structures and data containment I hadn't realized were possible, For example, while I knew of Mathematica's sophisticated pattern matching tools (distinguishing it from other CAS tools) I was completely amazed at the depth and degree of pattern matching that can be used to simplify, sort and organize large data sets. I have already rewritten two of my libraries based on what I learned in the first week of getting this book.
The Mathematica documentation has all the information but Wolfram doesn't provide many examples. This is the 'missing manual'. It is a true cookbook but with the right mind you can see how each example can extend into other applications.
I also liked the fact that the book doesn't waste time on Mathematica basics but gets right into the sophisticated applications.
Mathematica is a Dragon, a powerful tool, but a beast to tame. Mr. Mangano is a Dragon slayer, and shows you through practical examples how to harness the power of Mathematica to solve real world problems.
For a specific field their are specialized books; but there are no current books on Mathematica which are as clear, concise, and have the breadth of scope, which convey the power of Mathematica and its ability to help you solve problems of all kinds.
This book focuses on problem solving, while it provides code, the focus is not on the collection of code, but on how to aproach solving problems with Mathematica. In short it provides you with a framework and methodology to frame your problem, and choose from many ways to compute an asnwer while freeing you to think.
This book belongs on every Mathematica's book shelf. I purchased the ebook, which is DRM free, and O'Reily I appluad your vision to not only produce quality books which allow me to deploy them on my laptop or kindle, but in supporting the ebook through future revisions, and add on notebooks. | 677.169 | 1 |
The High School has always placed a strong emphasis on the teaching of mathematics and we seek, as a department, to continue this tradition. Many of our students continue to study mathematics in various forms in third level education and with that in mind we aim to give them the best grounding possible, not just teach for the examinations at the end of the year. We view mathematics as a vital subject for all students and a way for them to learn tools for everyday life and the skills necessary to become problem solvers and critical thinkers.
All students study mathematics at a common level in First Year (unless otherwise discussed) and based on common tests in October, Christmas, and the summer they are divided into higher and ordinary level classes for the beginning of Second Year. All students continue to study mathematics at a level suitable to the individual up to Leaving Certificate.
Junior Cycle
The aims of the Junior Certificate Project Mathematics programme are to:
•To develop the mathematical knowledge, skills and understanding needed for continuing education, for life and for work.
•To develop the skills of dealing with mathematical concepts in context and applications, as well as in solving problems.
•To foster a positive attitude to mathematics in the learner.
These aims are the backbone of our mathematics teaching in The High School. The students follow the Common Introductory Course for their first year and continue in second or third year at higher or ordinary level up to the Junior Certificate.
Teachers are able to make use of a wide range of resources including laptops and data projectors in each room and more "hands-on" equipment to aid learning.
Transition Year
Our aims for the mathematics course in Transition Year are:
* To ensure all students are comfortable with the concepts and techniques from the Junior Certificate and to prepare them for the Leaving Certificate course in 5th year.
* To introduce the new concepts involved in the Project Maths course which have not been covered by the students up until now.
* To use everyday life problems to further the students' mathematical skills.
Students continue to study mathematics at the level they took for the Junior Certificate. However, we generally offer a "catch up class" for those students who did well at ordinary Level or who did higher Level but need to review the Junior Certificate material at a slower pace.
Senior Cycle
In fifth and sixth year we aim to prepare the students not only for the Leaving Certificate but also for their future studies or working lives. A very large proportion of the students study the Leaving Certificate higher level course and they are encouraged to continue their study of maths in third level courses.
Applied Mathematics is also offered as an option at Leaving Certificate level and we have a relatively large uptake for this subject each year.
Additional information
Students are encouraged to take part in extra-curricular mathematics activities such as the International Mathematics Olympiad (one of our students was on the Irish team for the last three years) and the IMTA annual quiz (which we have won for two years in a row), and we have organised poster competitions for Maths Week. We also have a Maths Club run by 5th year students, whose purpose is to provide a place where those who enjoy mathematics can extend their knowledge and where those who have difficulties can get some help. | 677.169 | 1 |
text accompanies MTH095, Intermediate Algebra at Blue Mountain Community College. Students will study polynomials and factoring; roots; radical and rational expressions and equations; functions... More > and their graphs; quadratic equations, complex numbers and parabolas. Applications in these areas will be covered. Use of a graphing utility will also be explored.< Less
A traditional coverage of Beginning and Intermediate Algebra, covering linear equations, graphing, inequalities, systems of equations, polynomials, factoring, rationals, radicals, quadratics, and... More > functions. A free download of the text, and a student solutions manual and workbook are available at This book contains complete daily lesson plans for Teachers of Intermediate Algebra. A sequential script for the Teacher, adaptable for classes of various and diverse abilities, is presented with... More > optimum order of topics, and includes graduated explained illustrative examples, enrichment, review, practice tests, and tests. These lesson plans can be used with any textbook; just add homework from the class text.< Less
COLLEGE ALGEBRA : A REVIEW OF ALGEBRA, COLLEGE PREP REVISED EDITION. This textbook covers all the mathematical material needed for entrance into college. A great text to prepare for college. If you... More > are preparing for college, whether homeschooling, reviewing for a university SAT, ACT, or other college or university entrance you will benefit from this book. The topics covered:
Elementary and Intermediate Algebra, Order of Operations, Evaluation, Parentheses, Special Rules of Multiplication and Division, Factoring, HCF and LCM, Fractions, Complex Fractions, Simultaneous Equations and Involution, Square Root, Exponents, Radicals, Examples, Algebra to Quadratics, Quadratic Equations, Quadratic Equations, Simultaneous Quadratics, Simultaneous Quadratics, Ratio and Proportion, Arithmetical, Progression, Geometrical Progression, Binomial Theorem, More Examples, Quadratics and Beyond, Problems - Linear Equations, Simultaneous Equations, Quadratic Equations, Simultaneous Quadratics, College Entrance Examin | 677.169 | 1 |
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Learn Math Fast Reviews
Learning Math Fast consists of four easy-to-read paperback books designed to quickly and thoroughly teach anyone math. Its systematic approach to learning math concepts in a forward progressing pace allows students who are skilled in math as well as students with learning disabilities to learn math easily. The course covers beginning math through pre-algebra and geometry in the four texts. Texts are non-consumable and may be copied so that they can be used with other students or resold.
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Learn Math Fast Review by Ginni
March 24, 2017
Pros: easy to understand, self paced Cons: none
Grades Used: 5,6,7
My kids love it. It puts math in terms they can understand and follow. Does away with some of the math lingo no one ever remembers when they graduate. My kids whom i felt needed some more practice in the basics, started in book 1 and by the end of the year they were in book 4 (pre-algebra). This system doesn't overload them with pages and pages of problems.
Pros: Very straightforward. A natural and gradual concept building approach. My son that is math-a-phobic really enjoys these books. Cons: Not sure if this would be a full stand-alone math curriculum.
Grades Used: 3rd - 5th
My oldest son has struggled with math and while in public school he became 2 grades behind his recommended grade level (despite the hours after school each day that I'd spend with him reviewing his lesson and helping with his homework). We found this last year (during our 1st homeschool convention) and immediately began using it. We recently tested for academic compliance and he his test revealed he has improved and is working at the recommended grade level for math. It has really taken the fear out of his math studies and boosted his confidence. It can tend to move fast, and sometimes I feel he should have more practice and don't want to move him too fast. He doesn't feel that way, but as a mom…I just don't want him flying through it. So, occasionally we add worksheets covering the same math concept. He is really excelling and our 3rd grader enjoys it too, but math has been his favorite subject and continues to come easy for him | 677.169 | 1 |
In each, the ideas that have been encountered at school are extended and new areas are introduced. It is important to appreciate that what may be understood... Learn about: GCSE Mathematics, GCSE Physics...
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...to ensure you have a strong understanding of key topics. At level 6, you will be able to select from optional modules to allow you to tailor you degree studies to your interests... Learn about: GCSE Mathematics...
...Suitable for: Students who wish to keep open the option of a career in either Mathematics or Statistics, and seeking employment or professional training on graduation... Learn about: English Language, GCSE Mathematics...
...applied mathematics or computing, as these are taught from scratch. You will receive a firm grounding in a broad range of topics, and imaginative use... Learn about: Skills and Training, GCSE Mathematics...
...In each, the ideas that have been encountered at school are extended and new areas are introduced. It is important to appreciate that what may be understood... Learn about: Quality Training, GCSE Mathematics, GCSE Physics...
...You normally undergo a confirmation of status in the third year of your DPhil. Similarly to transfer this involves the submission of written work and oral examination... Learn about: GCSE Mathematics...
...Some students take as many options as they can; others take fewer and study them very thoroughly. Our Faculty Since Sir Isaac Newton was Lucasian Professor (1669-96)... Learn about: GCSE Mathematics, GCSE Physics...
...favourite areas of mathematics. What you study This course is among the broadest of our Mathematics courses. It gives you the chance study to Master's... Learn about: GCSE Physics, GCSE Mathematics, Mathematical Physics...
...reasoning in a variety of contexts and to apply knowledge in problem solving situations. Working with typical business case studies and on live projects... Learn about: Skills and Training, Problem Solving, GCSE Mathematics... | 677.169 | 1 |
Hi, I am a senior in high school and need major help in math formulas for gre . My math grades are terrible and I have decided to do something about it. I am looking for some software that will allow me to enter a question and provides detailed step by step solution; basically it must walk me through the entire thing. I really hope to improve my grades so please help me out.
I'm quite familiar in math formulas for gre . However, it's quite complicated to explain it. I may help you answer it but since the solution is complex, I doubt you will really understand the whole process of solving it so it's recommended that you really have to ask someone to explain it to you in person to make the explaining clearer. Good thing is that there's this software that can help you with your problems. It's called Algebrator and it's an amazing piece of program because it does not only show the answer but it also shows the process of solving it. How cool is that?
I agree. Algebrator not only gets your homework done faster, it actually improves your understanding of the subject by providing useful information on how to solve similar problems. It is a very popular software among students so you should try it out.
A great piece of math software is Algebrator . Even I faced similar problems while solving graphing lines, interval notation and proportions. Just by typing in the problem workbookand clicking on Solve – and step by step solution to my math homework would be ready. I have used it through several algebra classes - Pre Algebra, Remedial Algebra and Pre Algebra. I highly recommend the program. | 677.169 | 1 |
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Made by a young adult developer to help with math homework. It includes a quadratic equations calculator, a simultaneous equations calculator, a tip calculator, and a regular calculator. It reduces the amount of time spent on tedious parts of math. Beware the Math Droid! Please donate or rate five stars to keep ad-free. This is a great math help, math solver, and any other math thing you can come up with. Please share! Thank you so much. | 677.169 | 1 |
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Linear functions provide a great structure for students to learn modeling and problem-solving. This mission is aligned with Common Core State Standards: 8.F.B.4, HSA.REI.C.6.
The fun stuff:
A personal favorite because it involves gym memberships and base jumping. Connecting lines to the real world! Students visualize costs and flight paths, create models and solve problems! Get real and get it!
About Courage To Core: We all have an innate curiosity about how the world works. We are wired to experiment at the edges of our knowledge, to look for patterns and to draw conclusions. Mistakes are the welcome surprises which help us refine the experiment. In a student-centered classroom, students collaborate to ask questions, gather data, interpret results and articulate understanding. Success at the edge of knowledge demands persistence and creativity. Courage To Core provides a context for students to work together to become the agents of their success and the owners of their cognition. If you like Courage To Core, please give me a positive rating to help me get started on TpT! You get credits towards future TpT purchases with every rating you give! Just revisit the purchased item in my store and scroll down to star me | 677.169 | 1 |
COURSE HELP!!Cal@jplank wrote InIt's completely a matter of perspective. My roommate took 1501 and loved it - her first year average was also above 90%. I took 1301 and found it a bit tough, but it was definitely easier than 1501. They are similar - I think the only difference is that you need to know a lot more theory and proofs in 1501. If I was to recommend one to you, it would be 1301B, and NOT with Corless as a prof.
I'm going to elaborate a bit on why it isn't just a matter of opinion and why 1501 really is the hardest first year math course at UWO.
Firstly, 1501 is a course designed for people majoring in either math or a math intensive major. 1301 is a course covering similar material. However, 1501 includes everything in 1301 plus some extra material. So, there's no way 1301 can be said to be as hard as 1501.
0110 is a high school equivalent math course. It's for people who haven't taken high school Calculus. There's no way a high school math course is as hard as a calculus course designed for math intensive degrees.
1225, 1228 and 1229 are courses designed for people who need a math credit. Usually people in business or social science degrees. The courses give students an introduction to certain areas of math . These courses are meant to test whether students have a basic competency of the areas involved. However, as far as I know, there are no math courses that allow any of 1225, 1228 and 1229 to be used as prerequisites. This is because the courses don't go in depth in any topics. Students learn topics in these courses in the simplest way and there's no real "tricks". Again, these courses are meant for non-math majors and there can be no argument that they're easier than 1501.
Calc 1000 and 1100 are first semester calculus courses. Both are prerequisites for 1301 and 1501. I don't think you can argue that prerequisites are easier than the courses they lead into. So, we can say that both of these must be easier than 1501.
That leaves 1600. This is a linear algebra course that's required for math intensive degrees. Here, an arguement can be made that this course is on par or more difficult than 1501. My personal opinion is that it's a bit easier than 1501 partly due to changes made in both 1600 and 1501 in the past few years. But, I could understand someone saying that it was harder than 1501.
1500 is a relatively new course. Considering that it's an enriched version of 1000, I suspect that the difficulty would be on par with 1501 (except, perhaps, a little easier since it's a prerequisite to 1501).
tl;dr - 1600 might be considered harder than 1501, and 1500 might be equal to 1501 (maybe). But there's really no argument that the other courses are easier than 1501.
I can understand that it's possible that Quiz found 1501 easy in general. But, I'm making the point that whether or not you're the kind of person who would find 1501 easy, you'll find some of these other courses even easier. And why take a harder course if you don't need to. It's not a matter of opinion and it's not a matter of perspective. If 1501 is required for you - then take it (it's not like you have a choice). If it's not required, there's no way in hell you should be taking it.
@yenee wrote CalThanks for your input. To be honest you don't use in-depth Calculus in Ivey, or even in the profession I wish to pursue upon graduation, so I don't know if I'm going to take it. I rather take easier math courses that'll bring my average up instead of down.
@BusterBaxter wrote Take calc1000, especially if you are wanting to continue in the finance stream. The economics courses that require them are mandatory in second year, so not taking calc1000 means you can't do finance in second year.
Neither is "better for business". Take which one you find more interesting. Look at the prof reviews and course outlines and see which one better fits into your schedule.
Finance stream is useless to me since I'm an AEO. I won't be graduating with a BMOS degree, so the specialization makes no difference (yes, my only option is keep AEOFinance stream is useless to me since I'm an AEO. I won't be graduating with a BMOS degree, so the specialization makes no difference (yes, my only option is keep AEODon't talk in that kind of attitude.. you will quickly learn that no one at Western really cares that you are AEO, and AEO does not mean you are better than BMOS students. If you don't recognize that you should focus on BMOS, not Ivey, during your first two years, you really don't understand the concept of the 2+2 program. So take the courses required for your program pre-Ivey..Heesoup, Psych is in fact a lot of reading & memorization, but a very interesting course. If you are interested in the content, it's really not so bad. I know people who got mid-high 80s, a few people who got 90s as well, and it was because they loved the subject. If you're really interested in it, go for it. Every class will have memorization.
I agree with you. Way too many people have AEO status this year and it is nothing to brag about. And thanks for your advice, but I never really liked psych lolol. I prefer sociology :)
... and then hopefully Calculus I 1000B but for some reason when I tried signing up for courses online there were only two sections offered (without out even the professor names). And then when I went to submit my selections it wouldn't let me take Calculus 1000B because apparently it was full or something (even though it showed it as still open before that). Does anyone know anything about this? Do they just not really figure out all the 2nd semester classes they're offering until later on?
Here, this is exactly what it says:
"Error: You are unable to enroll in this class at this time. Available seats are reserved and you do not meet the reserve capacity requirements."
If I don't get to do Calculus I this year than I might do Math 1225 or Multimedia 1033 insteadYou need two math credits to take some of the second year economics courses. Also, according to the course calender ( the intro to calc course is an anti requisite to calculus 1000 and math 1225.
Yes, if you are in BMOS and want to pursue the finance stream, you need to take Calculus 1000, as it is a pre-requisite for Economics 2222A, 2223B, 2260A and 2261B.. all second year courses required in the BMOS Hons. Spec in Finance module. (source)
Math 1225 does not fulfill the pre-requisite requirement for those economics courses. I just checked, and Calculus 1000B still has some free spots. Just to add to this, since you are taking an introductory 0100 level course, you will likely need to take a summer course next year, or else your intent to register may not be successful. Everyone I know who had to take Math 0110 took a Math/Calc course over the summer to satisfy their BMOS module requirements.
If you're interested in finance (and decent at math) I definitely recommend Calculus 1000. Econometrics and Intermediate Microeconomics both require it, and are courses that valuable.
Thanks for all the help.
I ended up signing up for Math1225B since I couldn't sign up for Calc1000B. When I go to my SAO, I'll discuss changing it to Calc1000B. However, Math1225 might be better for me anyways. Apparently it's a lot easier than Calc1000, and with Calc0110 + Math1225 I still have a pretty solid foundation in math for a Social Science student, and I have the prerequisites covered for a lot of those economics courses like 2122, 2123, 2150, 2151.
I'm not really that interested in doing a specialization in finance, so I don't know if I'll need those more advanced econometrics courses.
I'm actually in Poli Sci not BMOS, and I'm hoping to either get into Ivey or make the switch over to BMOS, in which case the accounting specialization interests me the most.
How did you know which courses are required in the finance module? I'd like to see which courses are required for an accounting specialization.
@nananami wrote Hello, I'm wondering about Math 1228 and Stats 1024. What are their differences?
I sent you a PM, but I'm going to put my answer here in case other people have the same question.
Math 1228 deals with counting problems, probability and a few statistics concepts (expected value, variance, standard deviation, distributions and z-scores). Overall, it requires a deeper understanding of the concepts involved (compared to 1024). It's a difficult course because even if you study for hours and hours, you'll still feel like there could be some question out there that they could throw at your that you wouldn't be able to solve. The questions are basically all word problems (although later on it shifts into more calculation-type questions). It's similar to data management from high school. It's a strange course in that the beginning is the hardest material and it gets easier near the end.
Stats 1024 is a course where you plug things into formulas. It's more focused on being able to pick the right formula and apply it to the situation. You don't have to understand things as deeply as you do in Math 1228. You're also given a formula sheet on the exams. Most students I tutor prefered 1024 to 1228. There's a little bit of overlap between the courses.
Are you guys talking about BMOS-Finance specialization or Honor specialization ?I think that if it Finance specialization, calculus 1000a/b is not a prerequisite for 2000 level economic-you can look at the calender.But for Honor specialization, you must complete calculus 1000a/b. | 677.169 | 1 |
Calculus Derivative at a Point Hangman Game
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Calculus Derivative at a Point
This is a game that students can use to practice finding the value of the derivative at a given point.
Students choose a letter of the alphabet. They work the problem given. Then they check the answer blanks. If that answer is in one of the answer blanks, they fill in the correct letter. If that answer is not in one of the answer blanks, they should draw a body part on their hangman | 677.169 | 1 |
Mathematics (Class-10) is a comprehensive solution manual for students studying in studying in schools affiliated to the Central Board of Secondary Education (CBSE). The book contains detailed solutions to the standard text book set by the National Council of Educational Research and Training (NCERT) and gives clear explanations to readers about how the solutions were derived. Covering both terms, the book contains solutions for Real Numbers, Linear Equations, Trigonometry, Statistics, Quadratic Equations, Arithmetic Progressions, Circles, Probability, Coordinate Geometry and other topics. In addition, the book contains selected NCERT Exemplar problems, giving students an understanding of the examination pattern and scheme. It is an indispensable reference for students and teachers.
About the Authors
Amit Rastogi and Sanjeev Jain are Indian academicians with a vast experience in teaching Mathematics across all levels of schooling. They work with Arihant Publications which uses dedicated experts in the field to author books catering to various competitive examinations. | 677.169 | 1 |
Welcome to Math Literacy Services Home Page
Math Literacy Services (MLS) is a service of the Academic Success Center. The focus of MLS is to assist students in becoming self-determined, motivated, and independent learners of mathematics. Improving students' math comprehension skills leads to academic excellence. This can open new opportunities for students while decreasing math anxiety. The added success can then affect all other aspects of the student's life on campus. | 677.169 | 1 |
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Show More on ensuring that prospective teachers will gain not only a deeper understanding of the mathematical concepts, but also a better sense of the connections between their college math courses and their future teaching experiences, along with helpful ideas for presenting math to their students in a way that will generate interest and enthusiasm. The text draws heavily on NCTM Standards and contains many pedagogical elements designed to foster reasoning, problem-solving and communication skills. The ninth edition represents a significant step forward in terms of online course management as roughly half of all problems in the text will be assignable through our new online homework platform, Connect Mathematics. In addition, Connect Mathematics will be fully integrated with Blackboard, providing the deepest integration of an online homework and course management system in the market today. Additionally, this text can be packaged with an activity set that corresponds to each section of the companion text, Mathematics for Elementary Teachers: An Activity Approach, also by the Bennett, Burton, and Nelson team. Mathematics for Elementary Teachers: An Activity Approach can be used independently or along with its companion, Mathematics for Elementary Teachers: A Conceptual Approach | 677.169 | 1 |
You'll gain access to interventions, extensions, task implementation guides, and more for this lesson.
Big Ideas: Ordered pairs, tables, and graphs provide solutions to functions. Functions can be solved algebraically, by identifying ordered pairs, completing a table, or making a graph.
Students will synthesize their understanding of functions with patterns in this lesson. Students will solve for dependent or independent variables in the context of the problem by analyzing the information. The tasks will model real-world situations of functions written in various function formats. Functions will be a fundamental concept in algebra and future high school math courses. NOTE: Function notation is addressed in later lessons.
Vocabulary: function, independent, dependent, ordered pair
Special Materials:
graph paper | 677.169 | 1 |
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