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for Grob Basic Electronics clearly written, easy-to-study text provides students with the skills they need to solve problems in electricity and electronics. Although problems are stated in the language of electricity and electronics, students need not have a working knowledge of the subject to make effective use of the text. The terminology helps students gain familiarity with the form and presentation of problems without having to apply the electrical principles involved. Mathematics for Grob Basic Electronics provides all the mathematical skills and concepts needed to work with Grob: Basic Electronics.
The text covers a wide range of topics, from the manipulation of signed numbers, through algebra and trigonometry, to an introduction to digital logic and Boolean algebra. Hundreds of graded problems provide drill as well as analytical exercises for students. The only prerequisite is a knowledge of the four basic arithmetic operations: addition, subtraction, multiplication, and division, although the text does include a brief review of these operations. A new feature of the Fourth Edition is its emphasis on the use of calculator function keys to solve math problems. | 677.169 | 1 |
What are some of the topics covered in the McDougal Littell Algebra 1 textbook?
A:
Quick Answer
The McDougal Littell textbook "Algebra 1: Applications, Equations, Graphs" covers topics such as the properties of real numbers and methods for solving linear equations. Examples of other topics include solving linear equations, solving quadratic equations, quadratic functions, polynomials and factoring. Strategies for graphing linear equations are also in the book.
Keep Learning
Near the end of the textbook, there is a discussion on radicals and connections between algebra and geometry. This last chapter delves into subtopics such as square-root functions, the Pythagorean theorem, distance formulas, midpoint formulas and trigonometric ratios.
As of 2015, there are several supplemental resources available on ClassZone.com for teachers and students to use along with the textbook. After loading the Algebra 1 page, students and teachers can click on a particular book chapter to access additional help and challenge problems, as well as fun activities related to the subject material, such as crossword puzzles, digital notecards and interactive games. Additionally, there are downloadable parent guides for each chapter. These guides provide parents with a list of goals for each lesson within the chapter, and the parents can ask their children to explain the mathematical concepts involved in each goal to ensure they have a firm grasp of the material. There are also problems in these guides that parents can use to work with their children. | 677.169 | 1 |
discrete geometry
federico ardila
san francisco state university universidad de los andes
homework one
(due mon. sep. 6 (sf) or wed. sep. 8 (bog)
Note. You are strongly encouraged to work together on the homework, but you must state who you worked with. Y | 677.169 | 1 |
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Unformatted text preview: 9/20/2004, USE OF LINEAR ALGEBRA I Math 21b, O. Knill This is not a list of topics covered in the course. It is rather a lose selection of subjects for which linear algebra is useful or relevant. The aim is to convince you that it is worth learning this subject. Most of this handout does not make much sense yet to you because the objects are not defined yet. You can look at this page at the end of the course again, when some of the content will become more interesting. 1 2 3 4 GRAPHS, NETWORKS. Linear al- gebra can be used to understand networks . A network is a collec- tion of nodes connected by edges and are also called graphs. The ad- jacency matrix of a graph is de- fined by an array of numbers. One defines A ij = 1 if there is an edge from node i to node j in the graph. Otherwise the entry is zero. A prob- lem using such matrices appeared on a blackboard at MIT in the movie Good will hunting. How does the array of numbers help to understand the network. One ap- plication is that one can read off the number of n-step walks in the graph which start at the vertex i and end at the vertex j. It is given by A n ij , where A n is the n-th power of the matrix A . You will learn to compute with matrices as with numbers. CHEMISTRY, MECHANICS Complicated objects like a bridge (the picture shows Storrow Drive connection bridge which is part of the big dig), or a molecule (i.e. a protein) can be modeled by finitely many parts (bridge elements or atoms) coupled with attractive and repelling forces. The vibrations of the system are described by a differential equation x = Ax , where x ( t ) is a vector which depends on time. Differential equations are an important part of this course. The solution x ( t ) = exp( At ) of the differential equation x = Ax can be understood and computed by find- ing the eigenvalues of the matrix A. Knowing these frequencies is impor- tant for the design of a mechani- cal object because the engineer can damp dangerous frequencies. In chemistry or medicine, the knowl- edge of the vibration resonances al- lows to determine the shape of a molecule. QUANTUM COMPUTING A quantum computer is a quantum mechanical system which is used to perform computations. The state x of a machine is no more a sequence of bits like in a classical computer but a sequence of qubits , where each qubit is a vector. The memory of the computer can be represented as a vector. Each computation step is a multiplication x 7 Ax with a suitable matrix A . Theoretically, quantum computa- tions could speed up conventional computations significantly. They could be used for example for cryp- tological purposes. Freely available quantum computer language (QCL) interpreters can simulate quantum computers with an arbitrary num- ber of qubits....
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This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning... Topics: Discrete mathematics, Logic, Proof techniques, Sets, Number theory, Mathematics, Computer science | 677.169 | 1 |
A-Level Mathematics is suitable for any student who is serious about studying and who wants to achieve the best grade possible. The A-Level Maths CD provides detailed coverage of the essential pure Maths National Core.
The CD also provides an excellent grounding for Pure Maths by offering clear and concise teaching material, short tests where the user's performance is evaluated and sample exam-style questions, which are accompanied by worked solutions. Navigation through the CD is straightforward, making the programs simple and enjoyable to use.
Topics Covered:
Algebra
Functions
Co-ordinate Geometry
Sequences and Series
Trigonometry
Exponential & Logarithms
Differentiation
Integration
Numerical Methods
Vectors
Features:
Helps build confidence that is vital for success.
Covers the National Core for Mathematics at the Advanced Level.
Provides comprehensive teaching material.
Highly interactive.
Includes hundreds of sample questions - all with model solutions.
Contains past paper questions from a number of examination boards.
Contains built-in progress reports.
Authored by practising Maths teachers and approved by University lecturers.
Covers All UK Examination board core syllabuses.
Useful for self tuition and revision
Supports classroom teaching
Contains a full course content index.
Supported by technical help phone lines.
Easy to | 677.169 | 1 |
Algebra Essentials/Intro to Expressions and Equations Foldable or Booklet
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
6.6 MB | 4 pages
PRODUCT DESCRIPTION
This mini booklet or foldable covers algebra basics such as translating verbal expressions to algebraic expressions, properties of equality, properties of real numbers, and parts of an expression or equation. This booklet is ideal for review or for notes in an interactive notebook. The printed booklet is two sheets of paper if making it full sized or one sheet of paper if it is half sized. Either size will fit into an composition notebook. This is an excellent reference for students grades 6-10 who need to remember these key vocabulary | 677.169 | 1 |
Introduction to Nelson Mathematics 11
Nelson Mathematics 11 is designed to help you develop your skill at solving real problems
using mathematical skills and logical reasoning. There are questions that give you a chance
to practise familiar mathematical s
IB Math S
base, n is the term number, and k is the constant power of the argument when written in
exponent form.
A second method that can be used to investigate the sequences is to express each term
rationally. With the change of base method, the terms in
IB Math S
If k were to be -2, and n any integer, the function f (n) =
2
would look like:
n
GRAPH AND TABLE
Because it has now been verified that both k and n can be any integer, it can now be
k
concluded that the rational form of the n th term is
where k,
1
Math IBSL1
15 October 2008
Math IA: Portfolio
Logarithm Bases
Introduction:
11th grade students were asked to make a portfolio about logarithm bases and look
for the general term of each set of logarithms. We also have to test the validity of the
genera
Vectors
Calculators NOT Permitted
Time Allowed: 30 minutes
Name
Score:
/ 30
Date
Block
Section A: Answer in the space provided
1.
The diagram shows a cube, OABCDEFG where the length of each edge is 1cm. Express the
following vectors in terms of the unit v
IB Math S
Logarithm Bases
Logarithms originated in the early 17th century. Mathematicians John Napier and Joost
Burgi separately published different approaches to their own respective versions of the
concept of a logarithm. Both aimed to simplify mathemat
IB Math S
A more thorough investigation of the original logarithmic forms reveal that base of the
third term is the product of the base of the first term and the base of the second term:
log 4 64 , log 8 64 , log 32 64
4 8 = 32
log 7 49 , log 49 49 , log | 677.169 | 1 |
Course Summary
Let us help you prepare for the TABE - Math exam with this helpful study guide. Before or after you review the text and video lessons, taking the multiple-choice quizzes can help you identify how you'll do on test day and where you need to focus more study.
About This Course
This TABE Math preparation course guides you through everything you need to know to ace your Tests of Adult Basic Education (TABE) exam. We'll take you from kindergarten-level counting and first grade geometry to eighth grade functions and algebraic equations. This comprehensive study guide can help you understand all kinds of mathematical concepts covered in most elementary and middle school math classes in preparation for your exam, including:
Geometry
Basic mathematics operations
Measurement and data
Numbers and operations
Ratios, statistics and probability
Fractions
Algebra
Expressions and equations
The number system
Functions
About The Exam
The TABE 9&10 is designed to measure an adult learner's proficiency in grade school concepts ranging from kindergarten concepts to 8th grade and is divided into three sections (reading, mathematics and language.) The mathematics section of the exam consists of two parts: mathematics computation and applied mathematics. These sections will take up little over an hour of the total test time, which in total is about three and a half hours long.
TABE Exam Preparation & Registration
By utilizing our expert led preparation course, you'll be able to to familiarize yourself with the concepts you'll see on the math sections of the TABE 9&10. These short video lessons can reinforce concepts you've already learned or introduce new techniques for dealing with concepts you're struggling with. In these lessons, you'll start off learning about basic math concepts like counting and then gradually build on your knowledge as we introduce more advanced geometry, ratio and probability, and even functions concepts towards the end of the course. At the end of each lesson you'll have the opportunity to take a self-assessment quiz so that you can track your progress and focus in on areas you're struggling with.
The registration process is typically handled by the administrator and varies by location.
Scoring the TABE Exam
Your test administrator will be able to provide you with your scores in either an online or a paper format. Unlike some tests the TABE is not designed with a pass-fail system in mind. Instead, the exam is meant as a guidance tool for adjustments in your own education. It allows instructors to see what areas you're struggling with so that they can either suggest new instructional programs or provide more instruction in a particular area.
What You'll Study: In this course, we cover basic concepts found in basic arithmetic and then reinforce these concepts through example problems before moving on to progressively more advanced concepts, such as converting from decimals to fractions, order of operations, and percents.
What You'll Study: This prep course covers techniques on applying these concepts in different kinds of problems. Lessons on recognizing and representing whole numbers; calculating mean, median, mode and range; linear and non-linear functions; and solving various kinds of word problems are also included
Tests of Adult Basic Education (TABE) is a registered trademark ofMacmillan/McGraw-Hill School Publishing Company, which is not affiliated with Study.com | 677.169 | 1 |
Since 1956
New Math Program, Swanson Compares Coursework to Basketball
Math is changing in the classrooms of UW-Milwaukee. Chairman of the Mathematical Sciences, Kyle Swanson, is helping to pave the way for new techniques for teaching remedial math.
Students have often struggled to pass the sequence of required courses for remedial math. Swanson said that many students would drop out of math between semesters, which resulted in many not completing all of the needed courses.
The remedial math courses have students repeat courses they already learned in middle school and high school to help them in higher math courses.
The students aren't able to succeed in a traditional mathematics environment of a teacher lecturing at the board while students take notes, according to Swanson.
Swanson said he wanted to break the mold and use a differentiated pathway approach. The new courses will align more with the students' interests. For example, in one of the classes, students calculated how long it will take to pay off their student loans. The other part of the program will be based off of what students will need to learn based on their major.
The math department is using a more active approach to engage their students. Swanson said it will move students to become owners of their own learning. Swanson has his students use white boards to answer questions, which allows him to see who is confused and where he should go back and work with the students to figure it out. Students also work together in small groups to figure out different problems.
Swanson said they want to emphasize the mind set of students. "A lot of students come in with a mindset that they are not a math person," said Swanson. "That they are dumb and are not able to do math. That math is like being able to dunk a basketball, some people can do it, a whole lot of people can't. We're really working on trying to break that mindset."
Swanson also said that the math needs to be attentive of cultural sensitivity, that people from different backgrounds act and learn very differently. The Math Department plans to use the new methods in all of the math courses.
"We're rethinking what we are doing all the way along for these early-career students," said Swanson.
There are about 20 percent more students in 200 level math classes this academic career. Swanson said it shows that students are engaging with the program.
"[Math] forces your mind to think in a way that allows you to interact with the modern world in a productive fashion," said Swanson. | 677.169 | 1 |
The book covered all the topics that any instructor might want to cover in one or two-semester long in a college level Pre-Calculus course. It has 12 chapters and is divided into 3 groups. First group is the first 4 chapters that cover functions creating a solid foundation for the course. Second is all about Trigonometry and its applications. I appreciate the way it began this section using angles and unit circles and then moving on to triangles. Third piece is dealt with the advanced topics with systems and equations, a little of discrete math, analytic geometry and a prep for calculus. Interestingly, this is exactly how I teach the course and divide the semester with the content of the course. I loved the figures and illustrations that used contemporary styles with color contrast and labeling.
Accuracy rating: 5
It seems like authors have taken a great effort to ensure the validity and accuracy of the content in the book. Each chapter's manuscript underwent at least two rounds of review and revision by a panel of active Precalculus instructors. Another team of experts checked all text, examples, and graphics for mathematical accuracy. A third team of experts tested the accuracy of the Answer Key, by re-working every solution. The Solutions Manual was rigorously checked for accuracy.
Relevance/Longevity rating: 5
The content of the book seems to be very contemporary and up-to-date. It used very relevant real-life problems and examples. It added media buttons that can be changed or updated if necessary. At the end of every chapter the access to online resources are very useful.
Clarity rating: 5
The authors used clear concise English language without any redundancy. It clearly says what it is planning to do every step and showed detailed work in the examples. It also added analysis that musty be very helpful to the students. The graphs shown are just like I would do in class on the board. All the explanations used "we" that is very appropriate for the students to see the line of thinking within the mind of the author.
Consistency rating: 5
The format is very consistent with mathematical languages and terminology. It appears that the authors have used their own text repeatedly and they have done a good job providing links to the online sources. The figure for vertical and horizontal reflection is beautifully done. This is true for all mathematical concepts. The figures are very valuable learning component for the students to see and are consistent with the topics. It used very appropriate standard mathematical terminology throughout.
Modularity rating: 5
The book used standard sequence of topics. It can easily be divided in two semester long courses if needed. In some schools advanced topics are not covered in PreCalculus courses and hence these topics can be avoided without any trouble.
Organization/Structure/Flow rating: 5
The organization/structure/flow of this book is outstanding with learning objectives at the beginning of every section. This helps the instructors to clearly focus on the topics and techniques.
Interface rating: 5
I did not experience any interface issues with this text. The links within the text, takes the reader to statements of previous theorems, previous examples, particular exercises, a referenced diagram, definition, or solution of an exercise, which is a handy feature. At the end of every chapter the key concepts quickly links to the topic discussed in the sections.
Grammatical Errors rating: 5
I did not see any grammatical errors in the text.
Cultural Relevance rating: 5
The book seemed to be culturally neutral. I did not notice any race or religion based problems. The problems used "you" or "your" many times. Other problems centered on the mathematical concepts.
Comments
It was fun-time reading this book. I thoroughly enjoyed it and may be I will even adopt it in the fall of 2015.
About the Book
Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.
The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation.
In addition to the paper homework sets, algorithmetically generated online homework is available as part of a complete course shell package, which also includes a sample syllabus, teacher notes with lecture examples, sample quizzes and exams, printable classwork sheets and handouts, and chapter review problems. If you teach in Washington State, you can find the course shell in the WAMAP.org template course list. For those located elsewhere, you can access the course shell at MyOpenMath.com. A self-study version of the online course exercises is also available on MyOpenMath.com for students wanting to learn the material on their own, or who need a refresher.
About the Contributors
Author(s)
David Lippman received his master's degree in mathematics from Western Washington University and has been teaching at Pierce College since Fall 2000.
Melonie Rasmussen received her master's degree in mathematics from Western Washington University and has been teaching at Pierce College since Fall 2002. Prior to this Melonie taught for the Puyallup School district for 6 years after receiving her teaching credentials from Pacific Lutheran University. | 677.169 | 1 |
A Friendly Introduction to Number Theory, Fourth Edition is designed to introduce readers to the overall themes and methodology of mathematics through the detailed study of one particular facet—number theory | 677.169 | 1 |
Chapter 1. Numbers
In This Chapter
Overview
Most people would say that numbers are the foundation of mathematics. This is quite a modern view, because for most of the past two thousand years, students began with geometry. On the other hand, numbers are certainly the foundation of computers, and a thorough understanding of numbers and how they work is vital to programming.
In this respect, then, the journey begins with a look at the way computers represent numbers and what you can do with numbers using a computer. The goal here is to think about what a number is, especially the distinction between the number and the ...
With Safari, you learn the way you learn best. Get unlimited access to videos, live online training,
learning paths, books, interactive tutorials, and more. | 677.169 | 1 |
Implicit Differentiation Practice
Word Document File
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0.15 MB | 2 pages
PRODUCT DESCRIPTION
This document has 8 problems where students must find derivatives using implicit differentiation and 4 where they have to use implicit differentiation to find the value of a derivative at a given point. Students can scan QR codes to determine if their solutions are correct or not. Your time can be used helping to find mistakes in students work instead of grading students work. This could easily be turned into centers for | 677.169 | 1 |
Phillips Ranch, CA Algebra requires complete fluency in Trigonometry, Geometry and the Algebras thus Precalculus is basically a comprehensive review of these with a sneak-preview of what Calculus is all about. The basic weakness of most students entering into Calculus is having a firm foundation of the fundamenta...
Katayoun YGregg O. | 677.169 | 1 |
Dispelling some of the subject's alarming aspects, this book provides, in a witty and engaging style, the fundamentals of mathematical operations. Topics include system of tens and other number systems, symbols and commands, first steps in algebra and algebraic notation, common fractions and equations, irrational numbers, much more. 1958 edition. | 677.169 | 1 |
Product Description:
Well known for the clear, inductive nature of its exposition, this reprint volume is an excellent introduction to mathematical probability theory. It may be used as a graduate-level text in one- or two-semester courses in probability for students who are familiar with basic measure theory, or as a supplement in courses in stochastic processes or mathematical statistics. Designed around the needs of the student, this book achieves readability and clarity by giving the most important results in each area while not dwelling on any one subject. Each new idea or concept is introduced from an intuitive, common-sense point of view. Students are helped to understand why things work, instead of being given a dry theorem-proof regime.
REVIEWS for | 677.169 | 1 |
the first two semesters of a three-semester engineering calculus course, "Calculus of a Single Variable: Early Transcendental Functions," 4/e, continues to offer instructors and students innovative teaching and learning resources. TwoMore...
Designed for the first two semesters of a three-semester engineering calculus course, "Calculus of a Single Variable: Early Transcendental Functions," 4/e, continues to offer instructors and students innovative teaching and learning resources. Two primary objectives guided the authors in the revision of this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Hostetler/Edwards "Calculus" program offers a solution to address the needs of any calculus course and any level of calculus student. "Calculus of a Single Variable: Early Transcendental Functions," 4/e, contains Chapters 1-10 of the full "Calculus: Early Transcendental Functions," 4/e, text. Every edition from the first to the fourth of Calculus: Early Transcendental Function, 4/e, has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Fourth Edition is part of the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy.Exercise sets have been carefully examined and revised to ensure they cover all calculus topics appropriately. Many new exercises have been added.A variety of exercise types are included in each exercise set. Questions involving skills, writing, critical thinking, problem-solving, applications, and real-data applications are included throughout the text. Exercises are presented in a variety ofquestion formats, including matching, free response, true/false, modeling, and fill-in the blank."Putnam Exam Questions"--taken from the William Lowell Putnam Mathematical Competition--offer challenging problems that often require students to look for creative solutions; "Graphical Analysis" exercises offer the opportunity to analyze graphs; "Think About It" exercises require students to use critical reasoning skills to explore the intricacies of calculus.Explanations, theorems, and definitions in the text have been thoroughly reviewed to ensure the text is mathematically precise and easily comprehensible."Clear, multi-step examples with worked-out solutions" help students learn difficult mathematical concepts. Examples correspond to the exercises, serving as a supportive reference for students. This is the only text on the market where "every example, proof, and explanation begins and ends on the same page.""Explorations" help students develop their intuitive understanding of calculus concepts. These optional activities are short enough to integrate into class, but they can also be omitted without loss of continuity."Theorem boxes" clearly explain important mathematical concepts.The "Integrated Learning System" resources are available in print, CD-ROM, and online formats."Eduspace, powered by Blackboard," Houghton Mifflin's online learning tool, offers your students quality online homework, tutorials, multimedia, and testing that correspond to the "Calculus: Early Transcendental Functions" text. This content is paired with the course management tools of Blackboard. In addition, "eSolutions," the complete solutions to the odd-numbered text exercises, provides students with aconvenient and comprehensive way to do homework and view the course materials.SMARTHINKING online tutoring brings students real-time, online tutorial support when they need it most.
The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks | 677.169 | 1 |
Construction Common Core Project - Real World Equations
PDF (Acrobat) Document File
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0.84 MB | 7 pages
PRODUCT DESCRIPTION
Students will use what they know about algebraic expressions and equations to determine the costs of building a home with a $350,000 budget. Students are the decision maker and will need to decide on materials and figure the cost. Students will will also be paying the contractor for her time. Will they have money left over in the budget after the build is complete?
There are several parts to the project:
Task #1: Blueprint-Use the given floor plan to place necessary materials and furniture in the house.
Task #2: Materials List -Write expressions to represent reasonable costs for materials.
Task #3: Paying the Contractor - Figure the final amount to pay the contractor at the end of the build.
Task #4: Cost of Materials - Use the given floor plan to figure the cost of each of the items.
Task #5: Figure the Total Cost (All supplies)
Task #6: The Fun Stuff!-With the money left over from in the budget, buy other things you would like to have in your house
OPTIONAL Task #7: Become the Interior Designer!
Visit a local store and gather samples of paint colors, wall paper, flooring, and counter top. Look in local store ads or online for furniture and appliances. Display your choices on a poster board to be shared with the prospective buyers. Be ready to sell the house to your classmates.
There is a blue print included as well as a key for furniture pictures to be placed on the blue print for Task #1 | 677.169 | 1 |
CBSE All-In-One Mathematics 10th Term-I
ISBN 9789351415305
ISBN-10
9351415309
Binding
Paperback
Edition
2nd
Number of Pages
387 Pages
Language
(English)
Subject
Entrance Exam Preparation
Prem Kumar's All in One Mathematics: The Complete Study Resources, published by Arihant Publications, is a comprehensive book for CBSE Class 10 students for Term I. It comprises of topics like Real Numbers, Polynomials, pair of Linear Equations in Two Variables, Triangles, Introduction to Trigonometry and Statistics. Every chapter contains complete explanation and an exclusive segment for solutions for all the questions given in the NCERT textbook. Various concepts are explained with Solved Examples, Figures, Illustrations and useful Notes. Every chapter has been divided into five parts focusing on learning & understanding the concepts, practicing different types of questions and summative and formative assessment of the concepts learned. A large number of MCQs, Short Answer Type, Long Answer Type and Value Based Questions are included. Each question is provided with step by step solutions. 10 Sample Papers are included towards the end of the book. It conforms to the Latest Syllabus and NCERT Textbook.
About Arihant Publications
Arihant Publications has been developing and publishing books for various competitive exams in India like IIT, JEE, Medical Entrances, State and UPSC Civil Services exams, PCS, MAT, CDS, Banking, GATE/IES/PSU, | 677.169 | 1 |
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
Algebra Foundations for Calculus
Learn exactly what you need to in order to be successful in Calculus the order of operations, basic arithmetic, and how to evaluate functions at a particular value
Students should have paper and pencil handy as they work through the course so that they can attempt the exercises and check their answers
Description
Welcome to Algebra Foundations for Calculus! In this course, you'll learn the foundational Algebra principles needed to be successful in Calculus.
Instructors:
Arun Sharma, PhD, Calculus professor at UC Berkeley After majoring in math, Arun got his PhD in pure mathematics from UC Berkeley in 2009. Since 2010 he has been teaching introductory math classes at UC Berkeley. Because of this, he intimately understands the areas in which students struggle. He feels many students entering college math classes are not as prepared in Algebra as they should be. Because of this, he is excited to offer this course to help ensure students succeed in Calculus and beyond. A fun fact about Arun is that he is highly ranked in chess and runs the US Chess League.
Katie Kormanik, CEO, TURN THE WHEEL Katie designs the courses, selects the experts and leaders the courses feature, and creates all the engaging content that you'll see when you sign up. She is passionate about education and particularly excited about the potential of online learning. She has designed courses for Udacity, Stanford Graduate School of Business, and McKinsey Academy. Click here to see samples of her work. She has consulted for a number of education non-profits, start-ups, and for-profit companies on product development, curriculum development, pedagogy, and investments in edtech. And of course, she has been an educator in a number of capacities, from tutoring to teaching supplemental college courses, after-school programs, and summer school programs. Her two greatest passions are learning and making learning fun for others.
In this course, you'll watch videos in which Arun and Katie explain concepts and work through examples. We also provide many practice exercises so you can solidify what you're learning. Remember, learning math is just like learning a language, and the goal of this course is to make you fluent. Or, at least conversational. :)
A few tips as you work through this course:
Re-watch the videos to refresh your memory
Keep a pen and paper with you so you can do the exercises
Pause the videos occasionally to give you time to process the concepts
There's no need for calculators. This course is less about performing basic calculations and more about understanding the principles
For a limited time, we are offering the course half-off ($49) to students in exchange for detailed feedback in order to make the course even better. Use the coupon code ALGFOUNDATIONS-HALFOFF4FEEDBACK.
Who is the target audience?
This course is meant for anyone preparing to take Calculus, as well as anyone who would like a foundational understanding of pure mathematics
This course is NOT meant for those who seek to learn applied mathematics (for these students, I recommend our textbook Street-Smart Stats: A Friendly Introduction to Statistical Research Methods)
One of the first steps to being successful in mathematics is the ability to properly notate mathematical ideas. Katie and Arun show examples of how you should write different mathematical expressions, especially using symbols such as parentheses.
To do the following exercises correctly, it's essential that you use parentheses to properly evaluate the expressions. When you're done, check your answers on the next page.
Exercises: Compute expressions
00:14
See the solutions and check your answers.
Solutions: Compute expressions
00:01
Lines are the simplest type of function. It's important to be able to graph them and calculate the slope (i.e., the rate of change), which is one of the most fundamental concepts in Calculus. While lines have a constant slope, the slope of other functions continuously changes. Understanding lines is the first step toward working with curves.
In the following exercises, practice graphing lines, finding the equations of lines, and calculating the slope.
Exercises: Find equations of lines and calculate slope
00:18
See the solutions and check your answers.
Solutions: Find equations of lines and calculate slope
00:01
Slope is one of the most fundamental ideas in Calculus. Arun and Katie describe how Calculus uses the idea of slope to solve real-world problems.
Why is the slope important in Calculus?
06:13
Practice visualizing and making conjectures about the derivative with the following exercises.
Exercises: Graph the derivative
00:17
See the solutions and check your answers.
Solutions: Graph the derivative
00:02
Simplifying expressions is another fundamental skill, as this enables you to solve equations (Lesson 2). Rational expressions have a numerator and denominator. Katie presents examples of expressions that can and cannot be simplified.
Logarithms (logs) are an important type of function that you'll work with often. Katie describes what logs are and how they're written.
Simplifying logarithmic expressions
05:22
In the following exercises, practice using properties of logs to find the value of x.
Exercises: Simplifying logarithmic expressions
00:05
See the solutions and check your answers.
Solutions: Simplifying logarithmic expressions
00:01
Trigonometric (trig) functions are crucial to understand as well. Unlike the other functions you've learned about, trig functions are used to describe the relationships between angle measurements and the sides of the triangles that contain the angles. Katie describes how to use the Unit Circle to find sin(
Trig basics and the unit circle
05:04
Use the unit circle to compute the following.
Exercises: Find sine, cosine, and tangent
00:04
See the solutions and check your answers.
Solutions: Find sine, cosine, and tangent
00:02
+–
Solving equations and inequalities
27 Lectures
40:24
Welcome to Lesson 2: Solving equations and inequalities! In this lesson you'll see many examples of how to solve various equations, and have ample opportunity to practice. Read about the importance of being able to solve equations and real-world examples where you might need to.
Why solve equations?
01:01
Arun and Katie describe different methods for solving quadratic equations and provide examples.
Solving equations: Quadratics
04:24
Practice using the shortcut (finding two numbers that multiply to get the constant term and that add to get the coefficient of x) or the quadratic formula to solve the following quadratic equations.
Exercises: Solve quadratic equations
00:10
See the solutions and check your answers.
Solutions: Solve quadratic equations
00:01
Arun and Katie explain how to solve equations involving absolute values and highlight misconceptions that can lead you to the wrong conclusions.
Solving equations: Absolute values
07:06
Practice solving equations involving absolute values. You may use the techniques you learned in the video on solving quadratics.
Exercises: Solve equations involving absolute value
00:06
See the solutions and check your answers.
Solutions: Solve equations involving absolute value
00:03
Solving polynomials can sometimes be a bit of a headache, but there are things you can do to get to the roots of the issue (literally).
Solving equations: Polynomials
05:37
Use the techniques described in the last video (guessing a root based on the leading coefficient and the constant term, then performing synthetic or long division to check) to solve the following equations.
Exercises: Solve polynomial equations
00:10
See the solutions and check your answers.
Solutions: Solve polynomial equations
00:01
Solving rational equations can seem daunting, but you can save a whole lot of time by understanding a few key points. Katie and Arun describe what you should and shouldn't do to correctly solve these types of equations.
Solving equations: Rational expressions
02:54
Practice solving the following equations, keeping in mind the original problems and ensuring your derived answers make sense.
Exercises: Solve equations involving rational expressions
00:06
See the solutions and check your answers.
Solutions: Solve equations involving rational expressions
00:01
You can now apply what you learned about logs and exponents in Lesson 1. In order to solve equations involving these functions, you have to apply their properties. Katie walks you through several examples.
Solving equations: Exponents
04:01
Practice solving exponential equations using the techniques you learned in the last video.
Practice solving the following equations that involve logarithmic equations.
Exercises: Solve logarithmic equations
00:03
See the solutions and check your answers.
Solutions: Solve logarithmic equations
00:01
In order to solve trigonometric equations, you sometimes need to apply identities (i.e., rules that state what common expressions are equal to). This video walks through some of the most important trig identities to know and uses them to solve equations.
Solving equations: Trigonometric functions
04:24
The following lists useful trig identities. If you want to challenge yourself, try proving each of them.
Trig identities
00:08
Find all real solutions to the following equations that involve trigonometric functions.
Exercises: Solve trigonometric equations
00:04
See the solutions and check your answers.
Solutions: Solve trigonometric equations
00:02
Solving inequalities is the last concept you'll learn in this lesson. Solving them is very similar to solving equations (and you apply largely the same techniques), except now your solutions will involve a range of values. To find this range, you first have to be able to solve equalities, which is why you learned that first. Before diving into some examples, read why being able to solve inequalities is so important.
Why solve inequalities?
00:30
Being able to solve inequalities is important to be able to graph functions because you'll often want to know when the derivative f'(x) is greater than 0 (meaning the original function f(x) is increasing) or less than 0 (meaning the original function f(x) is decreasing). Arun articulates this important concept, and Katie walks you through examples of solving inequalities.
Solving inequalities
04:32
Find the intervals of x for which the following inequalities are true.
Exercises: Solve inequalities
00:01
See the solutions and check your answers.
Solutions: Solve inequalities
00:01
+–
Graphing
20 Lectures
25:14
Welcome to Lesson 3: Graphing! In this module, read about what you'll learn in this lesson.
Introduction to graphing
00:16
Oftentimes you'll base your graph of a function off of the "parent function," which is the simplest form of that type of function. Arun and Katie describe common parent functions and how you would change the graph of them to depict a more complicated function of the same type.
Parent functions
05:05
Sketch each of the following functions by visualizing the parent function and applying the translation.
Exercises: Graph each translation
00:04
See the solutions and check your answers.
Solutions: Graph each translation
00:09
To properly graph all kinds of functions (many of which don't have a parent function you can easily translate), you need to first find the domain--all x-values at which the functions exist. Some functions don't exist at a certain point; some don't exist at a range of points. Arun and Katie describe the domain and how to find it, and present examples of functions with different domains.
Domain
03:54
Find the domain of the following functions.
Exercises: Find the domain
00:03
See the solutions and check your answers.
Solutions: Find the domain
00:02
One nice thing about polynomials is that their domain is all real numbers. However, they're still difficult to graph in that you need to know where the function is increasing and decreasing. Katie describes how Calculus is very useful in finding this out.
Graphing polynomials
03:54
Graph the following polynomials given the equation of each, as well as the equation of the derivative f'(x). (Note: The point is not to graph them perfectly, but to be able to roughly visualize it, particularly where it's increasing, decreasing, positive, negative, and where it intersects the x-axis. Remember that f'(x) tells us where the function is increasing and decreasing.)
Exercises: Graph polynomials
00:15
See the solutions and check your answers.
Solutions: Graph polynomials
00:04
Similar to polynomials, you need to know where rational functions are increasing and decreasing in order to properly graph them. In addition, you also need to know the domain, since it no longer necessarily consists of all real numbers. In this video, Katie describes how to find horizontal asymptotes, vertical asymptotes, and holes.
Graphing rational functions
05:52
Graph the following rational functions by first finding their domain (where they have holes or vertical asymptotes) and any horizontal asymptotes.
Exercises: Graph rational functions
00:06
See the solutions and check your answers.
Solutions: Graph rational functions
00:09
Become more familiar with log and exponential parent functions and see examples of how to graph more complicated functions of these types.
Logarithmic and exponential functions
02:21
Graph the following logarithmic and exponential functions.
Exercises: Graph logarithmic and exponential functions
00:02
See the solutions and check your answers.
Solutions: Graph logarithmic and exponential functions
00:11
You can now use what you learned about the Unit Circle in Lesson 1 to be able to graph trigonometric functions.
Graph trigonometric functions
02:31
Use what you know about graphing f(x) = sin(x) and f(x) = cos(x) to solve the following problems.
Exercises: Graph trigonometric functions
00:01
See the solutions and check your answers.
Solutions: Graph trigonometric functions
00:07
Piecewise functions are composed of several different functions with different equations. We will not go deep into it in this course, but it's important to know what they are.
Piecewise functions
00:02
+–
Limits and series
17 Lectures
24:29
Welcome to the final lesson in this course, Lesson 4: Limits and series! You'll now learn some of the more complicated concepts that are actually part of Calculus. Read an introduction to limits and series.
Introduction to limits and series
00:16
Limits are an abstract concept used to determine how a function is behaving near a certain point or as the function approaches positive and negative infinity. In this video, Arun and Katie describe what limits are and how they are used.
Limits
03:12
You learned in Lesson 1 that the slope, or rate of change, is one of the fundamental ideas of Calculus. Limits are essential in order to find the rate of change at any given point on a curve. Katie describes how to use limits to find the rate of change of a function at a specific point.
Use limits to find the derivative
03:18
Use limits to find the derivative (f'(x)) or the slope of the function at a certain point (f'(x*)).
Exercises: Find the derivative
00:00
See the solutions and check your answers.
Solutions: Find the derivative
00:00
The final modules in this course are on series. Read about the two most common types of series: arithmetic and geometric.
Introduction to sequences and series
00:00
Arun tells a story about how an 8-year-old boy added the numbers 1 through 100 in a matter of seconds using the principles of arithmetic series. Then, Katie describes how you can quickly add any pattern of numbers that increase by a set amount each term.
Arithmetic series
07:26
Use what you learned about arithmetic series in the last video to solve the following problems.
Exercises: Arithmetic series
00:00
See the solutions and check your answers.
Solutions: Arithmetic series
00:00
Now you'll learn about geometric series: a pattern of numbers in which you multiply a particular number to each term (instead of adding, as in arithmetic series). Hear a story that showcases how quickly a pattern of numbers can increase (essentially, exponential growth).
Finite geometric series
04:30
Use what you've learned about geometric series to calculate the sums of the following finite geometric series.
Exercises: Finite geometric series
00:00
See the solutions and check your answers.
Solutions: Finite geometric series
00:00
Geometric series don't necessarily explode to infinity. In fact, sometimes as you add each new term, the entire sum approaches a finite number. And if you add an infinite number of terms (theoretically), the sum will equal this number. This video describes these cases, called converging series. | 677.169 | 1 |
When I took a math class on Differential Equation (DiffEq), I thought it was easier to understand than Calculus. In this DiffEq class, I learned about how to solve first-order differential equations that describe systems such as population growth and the harmonic oscillator. These differential equations even involve imaginary numbers and eigenvalues and eigenvectors | 677.169 | 1 |
Linear Systems: Applications of Determinants
In this determinant learning exercise, students explore determinants, area and volume. This two-page learning exercise contains explanations and examples. It provides two problems for students to solve. | 677.169 | 1 |
* Know-It Notebook The Know-It Notebook will help you take notes, organize your thinking, and study for quizzes and tests. These notes will help you identify important mathematical information that you will need later.
* Homework and Practice Workbook
* Review for Mastery Workbook
* Are You Ready? Intervention and Enrichment This will help you accommodate the diverse skill levels of students in your class. It will help you better prepare students to work successfully on grade level content by targeting prerequisite skills for each chapter in the program.
* Ready to Go On? Intervention and Enrichment This helps students perform successfully by providing opportunities for you to address their weaknesses before they are given summative assessments. For those students who show proficiency on the Ready to Go On? Section Quizzes, you may provide Enrichment worksheets to extend the concepts taught in the lessons.
* Focus on California Standards: Intervention Workbook for Algebra 1
* Holt Algebra 1 full textbook, Interactive Student Edition
Power Presentations disc contains:
* PowerPoint presentations for every section of the textbook.
Lesson Tutorial Videos discs contain:
* Multiple short video tutorials for every section of the text featuring Edward Burger of ""C and "hinkwell, along with other mathematics educators. The format is similar to that of "hinkwell products. | 677.169 | 1 |
Grade 8 and up: SQUARE ROOT approximations for the GIFTED & CURIOUS
Compressed Zip File
Be sure that you have an application to open this file type before downloading and/or purchasing. How to unzip files.
0.85 MB
PRODUCT DESCRIPTION
For the mathematically curious there are many fascinating and unusual approaches--mostly historical--to approximating the SQUARE ROOTS of numbers that are seldom included in text-books. Your very best students would appreciate access to problems pertaining to these: the PERFECT SQUARE method, the BAKHSHALI method, the BHASKARA-BROUNKER method, the historical algorithm to calculate roots to any desired degree of accuracy, etc.
FOUR worksheets are included: with 10, 15, 20 and 25 problems in each of 5 skills. Choose the one that seems right for you. Answer keys are also included.
Check out the PREVIEW as it is very similar to the final product.
[The problems in All WORKSHEETS and PREVIEWS are printed in difficulty (1 [easy], 2 [not so easy], 3 [proficiency] up to 4 [mastery]) order within a skill. The actual difficulty level appears slightly to the left of the DK box of each problem in a very small font. Also, instructional references appear on worksheets but are optional on quizzes.]
Also, creating this has been just plain fun and I don't expect it to be a fantastic seller or even to necessarily have a single sale. But if you have unusual students who love the depth and breadth of various mathematical techniques to solve thorny problems throughout history, this might be for you and those students.
RELATED ITEMS:
You might also want to check out the Grade 8 Summary which has links to many related offerings here | 677.169 | 1 |
09, 2011
Lately in all of my classes I've been using a variation on the classic "three-minute theme" low-stakes writing activity in which I ask students to write three things about a reading or a class discussion or a course in its entirety:
1. What one topic are you most intrigued about, or want to know more about, right now?
2. What one topic are you most confused about right now?
3. What one topic are you most confident about right now?
Each of these prompts has a particular purpose. The first helps students identify their interests and better understand why it is they might find our coursework appealing. This interest and appeal translates into motivation to keep working at the course. The third prompt has much the same effect: by reflecting on a topic she feels confident about, a student is likely to say to herself "yeah, I can get this! I'll keep at it, and sometime soon the rest will come just as easily." Meanwhile in the reflection needed to respond to the second prompt the student will identify areas on which she may need to focus extra effort.
I'm calling this activity "Intrigue, Confusion, and Confidence," for obvious reasons. I've already used it several times this term to help my MATH 179 class focus their discussions, and I just used it a half-hour ago to help me figure out where it is my Calc II students are feeling good about themselves...and where it is they might need extra work.
It's worth noting that we've just today wrapped up our discussion of numerical integration, so those topics may appear more frequently because they're fresh in mind. They're also not quite as complicated conceptually as some of the other topics we've covered. I find it interesting that as many people are fine with volumes as are iffy about them; this complication makes it difficult to give any specific prescription for study or review. I'll put together some additional practice problems for people to tackle tomorrow after the quiz.
If you're one of the students in my Calc II class and you're reading this, do me a favor: take five minutes to go to the comments section and let me know if this brief exercise at the end of class today was helpful to you...and if so, why. I appreciate it!
By the way, the two most entertaining comments, both about areas of confidence: "Rotating functions around axes is SUPER FUN! [accompanied by a Bundt-pan shaped volume of revolution]" and "That thingy. Can't think of process name. [accompanied by a sketch of a vase-like object suggesting a disk-method volume-finding question]"
1 comment:
Jack Derbyshire
said...
The process is incredibly helpful; although I can't specifically explain why. I suppose it gives me the feeling that you're taking into account where I'm struggling or where I'm succeeding, and altering your focus in lectures accordingly. Most professors lecture, give quizzes, homework and tests, and then let individual students struggle silently through their most difficult aspects of study. | 677.169 | 1 |
Investigations in Algebra departs from a preoccupation with calculus as the ultimate goal of and the universal introduction to advanced mathematics by using Logo to explore combinatorics, number theory, the study of discrete functions, and other topics that are not on the traditional path to calculus.This approach encourages students to participate actively in exciting mathematics, developing in them a facility for abstraction and an appreciation for the power of mathematical methods. Most of the projects in the first two parts of the book have been worked through by students at Woburn High School, often without assistance from a teacher.In three parts, Investigations in Algebra emphasizes the treatment of functions as concrete objects modeled as Logo procedures, applies the techniques of induction and recursion to combinatorial problems, and takes up topics in number theory (including unique factorization congruence, and multiplicative functions). Integral to the presentation are numerous carefully constructed problems routine exercises, long term projects, and open ended experiments - developed in twenty years of classroom use.Albert Cuoco teaches mathematics at Woburn High School, in Woburn, Massachusetts. Investigations in Algebra is included in the series Exploring with Logo, edited by E. Paul Goldenberg.
REVIEWS for Investigations in Algebra | 677.169 | 1 |
Thursday, October 10, 2013
inequalities and graphing apps.
In algebra 2, we are learning to graph linear and absolute value inequalities using a graphing app. I like the free graph calc for graphing as it has so many choices and resembles a regular graphing calculator. It does not seem to support graphing inequalities which is fine with me because the students can graph the base linear or absolute value equation, then do the analysis to determine if they need a dotted or solid line and which part is shaded in. Too often my students just copy down the result from the graphing calculators or a regular calculator without checking to see if its reasonable.
Yesterday, all the high school teachers gave students a directions test during study hall. The test had them writing down things like the letter D in the middle of the page, writing down their favorite musical group in a corner, etc. We did this because the majority of our students do not read directions. As expected, most students failed the test but the kids got such a charge out of the test. What they don't know is that they will get another one next month.
Finally, the tech dept and I are still working to figure out how I can have students either send the material to me using e-mail or get it to me via a drop box type of situation. I am not allowed to use google docs, regular e-mail accounts, drop box or any other type of app like that. So it is a challenge. I am doing some research and have a couple possibilities that I need to explore hopefully over the weekend. I hope by January to greatly reduce the paper flow | 677.169 | 1 |
MA 0091 - Basic Mathematics III
Course Description
This course is a modularized program of study which includes a review of basic computational skills, ratio and proportion, percent; an introduction to exponents, basic operations on polynomials, equations, basic algebraic word problems; fundamentals of geometry, introduction to graphing and statistics. | 677.169 | 1 |
Elementary Linear Algebra
Other | February 1, 2010
Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study
The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics.
Pricing and Purchase Info
Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study The authors give early, intensive attention to th...
Dr. Hecker has a Ph.D. degree in mathematics from Rutgers University, and is a Professor in the Mathematics Department at Saint Joseph's University in Philadelphia, PA. He has taught linear algebra to sophomore/junior mathematics and science majors for over three decades. Dr. Hecker has previously served two terms as Chair of his depar... | 677.169 | 1 |
0821826ochastic Analysis (Translations of Mathematical Monographs)
Stochastic analysis is often understood as the analysis of functionals defined on the Wiener space, i.e., the space on which the Wiener process is realized. Since the Wiener space is infinite-dimensional, it requires a special calculus, the so-called Malliavin calculus. This book provides readers with a concise introduction to stochastic analysis, in particular, to the Malliavin calculus. It contains a detailed description of all the technical tools necessary to describe the theory, such as the Wiener process, the Ornstein-Uhlenbeck process, and Sobolev spaces. It also presents applications of stochastic calculus to the study of stochastic differential equations. The volume is suitable for graduate students and research mathematicians interested in probability and random | 677.169 | 1 |
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Linear Assessment
Linear Assessment
Unit 3: Linear Functions
Lesson 20 of 20
Objective: SWBAT master concepts involving writing the equation of a line given different information, solve problems of direct and inverse variation, and show reasoning to problem solve with linear problems.
I provide students in Algebra I with a review for assessments about 3 days before the test. I am straight forward about what will be on the test. Most of the time I provide the same format, same type of problems, but with different numbers.
Some teachers may call this teaching to the test, but I believe that students should learn to prepare for the format of the test. Teachers also should assess on what they have taught. Test are not meant to try to trick students. Tests are meant to assess for understanding and mastery of certain concepts and problems.
When I provide students with challenge problems, it is in the form of a formative assessment not on a test. This allows students to reduce the fear of being wrong, and focus on their own ability to think and problem solve. I feel immediate feedback is important for all the types of problems students work, but it doesn't have to be in the form of a test.
Resources (1)
Resources
I allow all students to take a Retake as many time as needed. I change the numbers, but keep the problems and the format the same. Most of the time, students will need to come in on their own time to my free tutoring sessions to take the retake test. Sometimes I will provide a day of individual white board review and the retake in class if I feel it will benefit the majority of the class. The others that do not need a retake, I provide an additional activity, usually online.
Math builds and is a process. This is a 9th grade class, but I work with all level of students, from 3rd grade level to above the 9th grade level. The retake test allows all students to learn. | 677.169 | 1 |
Current State of Algebra Preparation PowerPoint PPT Presentation
Current State of Algebra Preparation. 7 th Grade Curriculum Topics. Major Emphasis Ratio and Proportional Relationships— Includes analyzing proportional relationships, applications of unit rates and solving multistep ratio and percent problems The Number System—
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Current State of Algebra Preparth Grade Curriculum Topics
Includes application and deepening of previous understandings of rational numbers, and solving real-world problems using the four operations.
Expressions and Equations—
Includes application of properties, comparing arithmetic and algebraic solutions, using tools strategically, fluency in solving equations, and solving real-world and mathematical multistep problems in equations and inequalities.
Includes finding probabilities of events and collecting and using data to draw inferences.
8th Grade Topics
Functions---understanding the meaning of a function, graphing a linear function, and solving pairs of linear equations.
Geometry—Describe transformations.
CCLS Key Points in Mathematics
Having built a strong foundation K-5, students can do hands on learning in geometry, algebra and probability and statistics. Students who have completed 7th grade and mastered the content and skills through the 7th grade will be well-prepared for algebra in grade 8.
The middle school standards are robust and provide a coherent and rich preparation for high school mathematics.
The high school standards call on students to practice applying mathematical ways of thinking to real world issues and challenges; they prepare students to think and reason mathematically.
The high school standards set a rigorous definition of college and career readiness, by helping students develop a depth of understanding and ability to apply mathematics to novel situations, as college students and employees regularly do.
Appliances at Discount City Store are on sale for 70% of the original price. Eli has a coupon for an 18% discount on the sale price. If the original price of a microwave oven is $500, how much will Eli pay for the oven before tax?
A $440 B $287C $260D $240
Commentary: This question aligns to CCLS 7.RP.3 because it assesses a student's ability to compute successive percents.
Rationale: Option B is correct. This involves the application of 70% to the original price of $500 followed by the application of the 18% coupon on the sale price.
.70(500) = 350
350(.82) = 287 or
350(.18) = 63
350-63= 287 or
500 x 0.7 x 0.82 = 287
Domain: Expressions and Equations
When John bought his new computer, he purchased an online computer help service. The help service has a yearly fee of $25.50 and a $10.50 charge for each help session a person uses. If John can only spend $170 for the computer help this year, what is the maximum number of help sessions he can use this year?
Key: The maximum number of help sessions he can use this year is 13.
Commentary: This question is aligned to CCLS 7.EE.4b because it assesses a student's ability to write and solve a linear inequality based on a word problem with a real-world application.
Rationale: If x represents the number of online help service sessions per year, then
10.5x + 25.50 ≤ 170
10.5x ≤ 144.50
x ≤ 13.76
13 sessions
Domain: Geometry
A scale drawing for a construction project uses a scale of 1 inch = 4 feet. The dimensions of the rectangular family room on the scale drawing are 7.5 inches by 12 inches.
What will be the actual area of the floor of the family room after the construction project is completed?
Commentary: This question is aligned to CCLS 7.G.1 because it assesses a student's ability to use scale drawings and compute the area of a figure.
Rationale: Option D is correct. If the dimensions of the family room on the scale drawing are 7.5 inches by 12 inches, the dimensions of the actual room will be 30 feet by 48 feet. Therefore, the actual area of the family room will be 30 x 48 = 1440 square feet.
HEWLETT-WOODMERESECONDARY MATHEMATICS EDUCATION COURSE OFFERINGS
Business Department for Math Credit includes:
Occupational Mathematics \Financial Math
Computer Accounting
College Accounting H
College Information Technology
Money & Investments
Computer Programming I & II
CISCO I H
CISCO II H
AP Computer Science
See the BUSINESS EDUCATION DEPARTMENT SECTION for full course descriptions
Students on either pathway with have the opportunity to take AP Statistics. | 677.169 | 1 |
Math 224 Spring 2004: Dot Product
In this dot product instructional activity, students consider two vectors and compute the dot product and cross product of the given vectors. This two-page instructional activity contains four problems. | 677.169 | 1 |
978013027 is the only one of its kind that instructs teachers to identify typical error patterns, to receive feedback on their diagnosis, and to gain insight regarding why a child may have adopted an incorrect procedure. Revised to link content to the new NCTM Standards, this new edition emphasizes the meaning of operations and using the appropriate method of computation. As in previous editions, it retains its focus on placing paper-and pencil instructional activities within the context of problem solving. Chapter topics cover diagnosing misconceptions and error patterns in computation, providing needed instruction in computation, and helping students who have learned error patterns. For mathematics teachers of special education classes or at the middle school level | 677.169 | 1 |
Frightened by fractions? Decimals make you dizzy? Numbers get on your nerves? If you answered yes to any of these questions, then this book is for you. Math Smart Junior II can help you finish your homework and score higher on tests by showing you how to master topics like:
Don't worry, Math Smart Junior II isn't like your textbook. We'll show you the fun and relaxed way to solve tough math problems, and prepare you for some of the challenges that lie ahead--like algebra. Plus, we'll give you tons of practice exercises and quizzes so that you can practice what you've learned.
"synopsis" may belong to another edition of this title.
From the Back Cover:
"These books are fun and easy to use...will be a great help in doing your homework."
--JoAnna Levenglick, PBS MasterMinds Show
About the Author:
Paul Foglino is the author of Cracking the AP Chemistry and coauthor of Cracking the CLEP. he is a graduate of Columbia University. | 677.169 | 1 |
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Augment Mathematica: Creating Applications and Extensions
Adam Berry
Discover different ways that you can extend Mathematica, from a simple function to a multi-component application. In this course from the Wolfram Mathematica Virtual Conference 2011, you'll learn about the available tools to create, package, and deliver your applications and extensions to users.
Learn how the engineering curriculum can be revitalized by making SystemModeler an integral part of the education experience. See how SystemModeler improves the way engineering courses are taught and demonstrate ...
Get the basics of neural networks and applications such as image/speech recognition, image captioning, question answering, and game playing. A case study of the ImageIdentify built-in Wolfram Language symbol ...
Solving partial differential equations both symbolically and numerically in the Wolfram Language. Learn about specification of PDEs, boundary conditions, regions, and new functionality like eigensystem computation.
Learn how to incorporate the Wolfram Language into your course preparations and how to engage students with cloud-based resources that provide a limitless supply of relatable, real-world data for teaching ...
This presentation explores collaborative activities using the bundled Wolfram Language system on your Raspberry Pi, including making a time-lapse video and taking data from sensors and adding it to the ... | 677.169 | 1 |
This introduction to topology eases readers into the subject by building a bridge from the familiar concepts of geometry to the formalized study of topology. Focuses on congruence classes defined by transformations in real Euclidean space, continuity, sets, functions, metric spaces, and topological spaces, and more. Exercises and Problems. Includes 101 black-and-white illustrations. 1974 edition.
Buy From Geometry to Topology book by Henry Graham Flegg from Australia's Online Bookstore, Boomerang Books. | 677.169 | 1 |
Algebra 1: Lesson 16: Problem Solving with Quadratic Equations
2000NRRated NR30m
Dr. Monica Neagoy presents three problems involving quadratic equations: the first is a concrete sequence of geometric figures, the second an introduction to the Golden Ratio, and the third an exercise in finding the roots of a quadratic equation. Real-world applications of algebraic principles make this a fresh departure from conventional educational methods. Also covered is the difference between quadratic functions and quadratic equations. | 677.169 | 1 |
Ron B. book reviews
Calculus
great
Calculus: Early Transcendental Functions
It's a textbook
Not sure what is there to review. I'm taking calculus in college, this is the required textbook.
It's pretty good at explaining things and the there are interesting historical context stories | 677.169 | 1 |
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> sqrt(3)^2; 3 Maple recognizes the standard mathematical constants, such as π and the base of the natural logarithms, e. It works with them as exact quantities.
> Pi; π
> sin(Pi); 0 12 • Chapter 2: Mathematics with Maple: The Basics The exponential function is represented by the Maple function exp.
> exp(1); e
> ln(exp(5)); 5 The example with π may look confusing. When Maple is producing typeset real-math notation, it attempts to represent mathematical expressions as you might write them yourself. Thus, you enter π as Pi and Maple displays it as π . Maple is case sensitive. Ensure that you use proper capitalization when stating these constants. The names Pi, pi, and PI are distinct. The names pi and PI are used to display the lowercase and uppercase Greek letters π and Π, respectively. For more information on Maple constants, enter ?constants at the Maple prompt. Floating-Point Approximations
Maple works with exact values, but it can return a floating-point approximation up to about 228 digits, depending upon your computer's resources. Ten or twenty accurate digits in floating-point numbers is adequate for many purposes, but two problems severely limit the usefulness of such a system. • When subtracting two floating-point numbers of almost equal magnitude, the relative error of the difference may be very large. This is known as catastrophic cancellation. For example, if two numbers are identical in their first seventeen (of twenty) digits, their difference is a three-digit number accurate to only three digits. In this case, you would need to use almost forty digits to produce twenty accurate digits in the answer. • The mathematical form of the result is more concise, compact, and convenient than its numerical value. For instance, an exponential function provides more information about the nature of a phenomenon than a large set of numbers with twenty accurate digits. An exact analytical description can also determine the behavior of a function when extrapolating to regions for which no data exists. 2.2 Numerical Computations • 13 The evalf command converts an exact numerical expression to a floating-point number.
> evalf(Pi); 3.141592654 By default, Maple calculates the result using ten digits of accuracy, but you can specify any number of digits. Indicate the number after the numerical expression, using the following notation.
> evalf(Pi, 200); 3.1415926535897932384626433832795028841\ 97169399375105820974944592307816406286\ 20899862803482534211706798214808651328\ 23066470938446095505822317253594081284\ 81117450284102701938521105559644622948\ 9549303820 You can also force Maple to do all its computations with floating-point approximations by including at least one floating-point number in each expression. Floats are contagious : if an expression contains one floatingpoint number, Maple evaluates the entire expression using floating-point arithmetic.
> 1/3 + 1/4 + 1/5.3; 0.7720125786
> sin(0.2); 0.1986693308 The optional second...
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This note was uploaded on 08/27/2012 for the course MATH 1100 taught by Professor Nil during the Spring '12 term at National University of Singapore. | 677.169 | 1 |
You can succeed in math with the clearly explained concepts, problem-solving strategies, and study skills help found in Basic College Mathematics, Third Edition by Elayn Martin-Gay. Good study skills are essential to your success in mathematics. This text features Study Skill Builders to help make sure you are getting the most from the time you spend doing homework and studying. | 677.169 | 1 |
Integrals
In this integrals worksheet, students solve and complete 16 various types of problems. First, they integrate each problem. Then, students approximate an area using an upper sum with four sub-intervals. In addition, they sketch and find the exact area bounded by each function. | 677.169 | 1 |
Introductory Algebra for College StudentsMore...
KEY relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring that students will actually use their textbook to achieve success!nbsp;KEY TOPICS: Variables, Real Numbers, and Mathematical Models; Linear Equations and Inequalities in One Variable; Problem Solving; Linear Equations and Inequalities in Two Variables; Systems of Linear Equations and Inequalities; Exponents and Polynomials; Factoring Polynomials; Rational Expressions; Roots and Radicals; Quadratic Equations and Introduction to Functions.nbsp;MARKET: for all readers interested in algebra.
A Brief Guide to Getting the Most from This Book Preface To The Student | 677.169 | 1 |
Pages
Sunday, September 8, 2013
Systems Foldable
We will finish up our current unit on characteristics of functions this week! Yea! And then we dive right into a short, 4-day unit on systems of equations. The only new information in this unit that my Algebra 2 students didn't do in their first year algebra course are the type of word problems. Most of them have not had to do wind and river current problems, and these are required in our Algebra 2 curriculum. I'm looking for ways to build depth/complexity into this unit since it is mostly review. If you have ideas ... please share!
To review systems I created a "foldable" that fits in my students 3-ring binder. I am debating about whether or not to leave my typed notes in the foldable ... and just have students work an example of each. Students can snip the table on the dotted lines, cover up the information as their study guide. | 677.169 | 1 |
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry, Second Edition embodies Sullivan/Sullivan's hallmarks accuracy, precision, depth, strong student support, and abundant exercises while exposing students to functions in the first chapter. This text's skills-based approach ensures that students can perform the essential tasks and master basic skills before developing the conceptual understanding they need for the course. Students focus on the fundamentals: preparing for class, practicing their homework, and reviewing. After using this book, students will be prepared to handle the algebra found in subsequent courses, such as finite mathematics, business mathematics, and engineering calculus, and will have a solid understanding of the concept of functions.In the Second Edition, the coverage of functions is even stronger. This edition features Showcase Examples in a guided, step-by-step format, and Model It examples and exercises to help students develop the ability to build models. Exercise Sets at the end of each section are now classified so instructors can easily assign the most appropriate homework for their classes' needs. The Chapter Test Prep Videos, which provide fully worked-out solutions to all chapter test exercises, are now available on YouTubetrade;, as well as on DVD and in MyMathLabreg;.
Foundations: A Prelude to Functions
The Distance and Midpoint Formulas
Graphs of Equations in Two Variables; Intercepts; Symmetry
Lines
Circles
Functions and Their Graphs
Functions
The Graph of a Function
Properties of Functions
Library of Functions; Piecewise-defined Functions
Graphing Techniques: Transformations
Mathematical Models: Constructing Functions
Building Mathematical Models Using Variation
Chapter Review
Chapter Test
Chapter Projects
Linear and Quadratic Functions
Properties of Linear Functions and Linear Models
Building Linear Models from Data
Quadratic Functions and Their Zeros
Properties of Quadratic Functions
Inequalities Involving Quadratic Functions
Building Quadratic Models from Verbal Descriptions and from Data
Complex Zeros of a Quadratic Function
Equations and Inequalities Involving the Absolute Value Function
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Polynomial and Rational Functions
Polynomial Functions and Models
Properties of Rational Functions
The Graph of a Rational Function
Polynomial and Rational Inequalities
The Real Zeros of a Polynomial Function
Complex Zeros; Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Exponential and Logarithmic Functions
Composite Functions
One-to-One Functions; Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Logarithmic and Exponential Equations
Compound Interest
Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay
Building Exponential, Logarithmic, and Logistic Functions from Data
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Trigonometric Functions
Angles and Their Measure
Trigonometric Functions: Unit Circle Approach
Properties of the Trigonometric Functions
Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Phase Shift; Sinusoidal Curve Fitting
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Analytic Trigonometry
The Inverse Sine, Cosine, and Tangent Functions
The Inverse Trigonometric Functions (Continued)
Trigonometric Identities
Sum and Difference Formulas
Double-angle and Half-angle Formulas
Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Applications of Trigonometric Functions
Applications Involving Right Triangles
The Law of Sines
The Law of Cosines
Area of a Triangle
Simple Harmonic Motion; Damped Motion; Combining Waves
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Polar Coordinates; Vectors
Polar Coordinates
Polar Equations and Graphs
The Complex Plane; DeMoivre's Theorem
Vectors
The Dot Product
Vectors in Space
The Cross Product
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Analytic Geometry
Conics
The Parabola
The Ellipse
The Hyperbola
Rotation of Axes; General Form of a Conic
Polar Equations of Conics
Plane Curves and Parametric Equations
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Systems of Equations and Inequalities
Systems of Linear Equations: Substitution and Elimination
Systems of Linear Equations: Matrices
Systems of Linear Equations: Determinants
Matrix Algebra
Partial Fraction Decomposition
Systems of Nonlinear Equations
Systems of Inequalities
Linear Programming
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Sequences; Induction; the Binomial Theorem
Sequences
Arithmetic Sequences
Geometric Sequences; Geometric Series
Mathematical Induction
The Binomial Theorem
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Counting and Probability
Counting
Permutations and Combinations
Probability
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
A Preview of Calculus: the Limit; Derivative, and Integral of a Function | 677.169 | 1 |
Why study Mathematics?
This is an essential subject for your future progression. Numeracy skills are required in all sectors in the working world.
What will I study?
The course will reinforce topics you've already covered, and boost your understanding and confidence in areas you may have found more difficult, like algebra or statistics.
How will I be assessed?
There are three written examinations taken at the end of the year.
What are the entry requirements?
You will need a minimum of two GCSEs at grade 3 or above. Specifically a grade 3 will be required in GCSE Mathematics. However a two year GCSE Mathematics course or Functional Skills can be undertaken with a grade 1 or 2 | 677.169 | 1 |
Sivut
Open-source Textbooks
"Avoin Matematiikka" follow
the Finnish secondary school curriculum and consists of ten open-course
math textbooks, which I have made with mrs Tiina Härkönen. The textbooks are
published with CC-BY license and made for flipped learning. Everyone can load,
use and edit books for free. The material is available as pdf and word documents as well as the interactive OnEdu learning material.
Teachers can edit and enrich the interactive learning materials by adding
videos, learning paths, level test and discussions for example. The students
also have possibility to make the math books of their own and take those books
with them to the next school level. The textbooks consist of over 4000 math exercises and as a total of 1600 pages of texts. I offer you the opportunity to use math textbooks based on Finnish curriculum as a ground of your own learning materials. Make them better and enjoy the possibility to offer your students the most suitable textbooks for your way of teaching.
CC-BY licence lets you distribute and build upon our textbooks, even commercially, as long as you credit Marika Toivola and Tiina Härkönen for the original creation. More about the open-source textbooks you can read (in Finnish) frommrstoivola.puheenvuoro.uusisuomi.fi and luma.fi. Contact details: mrstoivola@gmail.com | 677.169 | 1 |
Mathematics
The Kimball Union mathematics curriculum prepares students for rigorous college mathematics course work requiring mathematical computation, analysis, and presentation. Emphasis is placed on problem-solving skills, understanding rather than memorizing, and use of the calculator as a tool rather than a crutch. Because the use of graphing calculators begins in Algebra I, and graphing calculator skills are an essential part of the content of all courses, each student is required to own either a TI-83+ or TI-84+ calculator. Because development of analytical and computational skills independent of calculators remains at the core of our mission, students at all levels are assessed both with and without calculators. Organization, neatness, accountability, and time management receive developmentally appropriate attention.
In order to satisfy the requirements for graduation, all students must successfully complete Algebra I, Geometry, and Algebra II, or their equivalents. In addition, students who complete Algebra II before the start of senior year must meet the additional requirement of passing one of the following fourth-year courses: Computer Science, Probability, Statistics, and Finance, AP Statistics, or Precalculus.
Independent of graduation requirements, students are strongly encouraged to study mathematics each year at Kimball Union Academy. Students seeking to enroll in two mathematics courses concurrently must obtain approval from the Mathematics Department. Post-graduate students will be enrolled in a mathematics course that best matches their background, ability, and interest. | 677.169 | 1 |
What are some good step-by-step math problem solvers?
A:
Quick Answer
For standard algebra and calculus problems, cymath.com gives clear and direct step-by-step answers with proper formatting and formulas. This site also offers practice problems for pre-algebra, algebra and calculus.
Keep Learning
Cymath.com is a simple and intuitive math problem solver capable of solving algebra and calculus problems. The site formats each problem as you type and then provides a step-by-step solution using standard math terms and formulas. It also shows how to check the answer and provides a link to the solution. Cymath solves problems very quickly without any clutter and is also available as an app on the iPhone or through Google Play.
Cymath.com was designed directly for students and features several other educational tools, as well. In addition to the problem solver, the site has a practice section with more than 50 practice problems each from pre-algebra, algebra and calculus. Additionally, there is a reference page with different rules and formulas and examples for each. The site also features a blog with a new practice problem posted each week.
For any problems too complex for Cymath.com, there is wolframalpha.com. It uses a computational engine and curated data to answer nearly any question that has a factual answer. For math problems, it gives answers in all valid forms but requires a subscription to view step-by-step results. | 677.169 | 1 |
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Early Mathematics Intervention PGCert
This course provides a theoretical and knowledge base for early mathematics intervention practitioners. It will enable you to reflect upon and make informed decisions about your own practice and to research...Read morePGCE General Primary with Mathematics (QTS)
This programme provides students with the essential knowledge, skills and understanding to become an excellent classroom practitioner through Professional Studies, Additional Mathematics Studies, Core...Read more
PGCE Mathematics PGCE
Well-qualified mathematics teachers are in high demand in London, the UK and across the world. The Mathematics PGCE programme at the IOE is rigorously informed by research, including developments internationally. ...Read more
Physics with Mathematics PGCE
The PGCE (M) Secondary programme will prepare you to teach pupils aged 11-16 with post-16 enhancement in secondary schools. You will be teaching pupils as they mature from early adolescence into adulthood. ...Read more
Mathematics PGCert
This course aims to provide you with a sound general knowledge of advanced mathematics through study in several pure and applied areas of the subject, including Statistics and Operational Research. ...Read more
Mathematics (C90) PGCert
This flexible course will be of interest to mathematically inclined scientists and engineers as well as to mathematicians. It offers a wide choice of modules enabling you to tailor your studies to your | 677.169 | 1 |
a List of Undergraduate and Basic Graduate Textbooks and Lecture Notes
- the blog
Stage 1 Introductory Discrete Mathematics
Introductory Discrete Mathematics: You will study logic and set theory in an introductory discrete mathematics. The concepts you learnt here will play a key role in your later studies and improve your thinking skill. You will also study proofs, functions (injective, surjective, bijective inverse), introductory graph theory and number theory, Euclid's algorithm, discrete probability (counting, nCr, nPr) etc in this course.
Halmos P.R. Naive Set Theory - Don't misinterpret the word naive, though he propose the honest title as An Outline of the Elements of Naive Set Theory. This is not those books for dummies nor complete idiot's guide. Set theory plays a significant role in mathematics, if you are serious about it. Halmos is one of the better expositors of mathematics. | 677.169 | 1 |
Difficult college subjects hire purchase word problems
Find out why, and what we can do to solve the " word problem " problem. to engage with challenging subject matter in an approachable way. (anyone with a middle-school pre-algebra background or higher, all the way to retirees). got her bachelor's degree in English Literature at Bryn Mawr College. Missing: purchase.
Mrs. Cooke brought A microwave on hire purchase. The cash price was (c) the hire purchase price on the microwave, Math Word Problem.
Comprehending (Arithmetic) word problems correctly and then translating them into The problem below, demonstrate the difficulty students are having with Two college professors, who were teaching college mathematics courses to future The reading level on the Maryland Algebra exam is higher than the math level.
By the end of the semester, students have a deeper understanding of the fundamental concepts of physics than they did when Mazur was just lecturing. Once she takes the exam, Dainton expects she'll forget a lot of what she learned. Most engineering and mathematics. Assume that each works at. Although all state math standards repeatedly mention problem solving, there is. The Value of a College Degree. The need to explicitly teach quantitative vocabulary and. | 677.169 | 1 |
Advanced Algebra
Advanced Algebra and Trigonometry builds on math skills that students began to develop in Algebra. In this course, we will be focusing on advanced algebraic models and functions, and relating these ideas to real-world situations and applications. Throughout the course, you will use technology to build foundational skills, solve problems, and visualize math. You will engage in problem solving both collaboratively and independently.
Course Objectives:
Students will:
Use cognitive skills such as critical thinking, problem solving, and ethical analysis
Construct viable arguments and critique the reasoning of others.
Understand that mathematics is a tool for organizing ideas and addressing questions
Use algebraic models to analyze real-world phenomena
Prepare for success on the PSAT and SAT
Materials required:You must have these materials by Monday, September 12
at least one writing utensil, preferably a pencil
A spiral notebook for this class only
A folder for this class only
Units:
Exponents and exponential functions
Data and Statistics
Quadratic functions
Graphing conic sections
Angles, triangles, and trigonometry
Ideas for if you need help:
Check your notes for similar examples or helpful formulas.
Ask a friend to help you get started, but don't copy their work!!!
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.
Email Ms. Meyer and Ms. Maletsky with your specific question.
Come in any day before school. Both teachers are almost always there at 7:30.
Arrange a time to stay after school with one of your teachers.
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. Maletsky for help.
Grading:
Grades will be determined using the following percentage:
This part of your grade includes Do Nows, explaining math problems to the class, and completing in class assignments individually and in groups.
Homework:
Homework assignments will be given frequently. Your homework must be ready to turn in at the beginning of the class period.
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. Maletsky.
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 homework will not be accepted.
Major assignments will be accepted late with a 10% penalty each day up to 10 days (two school weeks) after the due date. . | 677.169 | 1 |
Product Overview
This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be ?the initial topical choice for focused and coordinated research and development in K-12 mathematics].? This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students? Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education. *Author: Kaput, James J./ Carraher, David W./ Blanton, Maria L. *Series Title: Studies in Mathematical Thinking and Learning (Hardcover) *Binding Type: Hardcover *Number of Pages: 526 *Publication Date: 2007/10/08 *Language: English *Dimensions: 9.24 x 6.28 x 1.58 inches | 677.169 | 1 |
Recent developments in information technology (multimedia, World-Wide-Web) give now the means for
widely available interactive material for education. What we need in math education are means to `do
mathematics' within the interactive learning systems, i.e. symbolic and numerical computing, visualizing and
manipulating geometrical objects, solving problems, proving theorems,etc.
Symbolic and Algebraic Computation software give the means to achieve this goal. However, several issues still
need to be addressed in order to integrate these mathematical tools in interactive material for math learning.
The main goal of the MaTILDA '97 Workshop that was held May 12-13, 1997
in the University of Amsterdam
(MaTILDA standing for ``Mathematical Tools in Interactive Learning, a Digital Approach.'')
was to present the most recent realizations related to the integration of
mathematical tools in interactive learning and to address the key issues. The workshop also aimed at collecting
information from the educational side concerning the usage of interactive material for education in math and
sciences.
The workshop has been an opportunity for fruitful contacts between people from different European countries
and from different fields: symbolic
computation, mathematics, computer graphics, multimedia,
educational sciences. | 677.169 | 1 |
Focused on the new assessment objectives, GCSE Maths Practice Book: Use and Apply Standard Techniques is full of expertly written practice questions to help students become confident and fluent in maths.113841
Book Description Paperback. Book Condition: New. Not Signed; Focused on the new assessment objectives, GCSE Maths Practice Book: Use and Apply Standard Techniques is full of expertly written practice questions to help students become confident and fluent in maths. * Exactly matches the GCSE Maths 4th edition Student Book * Focus on AO1 - using and applying s. book. Bookseller Inventory # ria9780008113841_rkm | 677.169 | 1 |
Chapter 3 Vectors and Matrices: Basic Matrix Algebra
Abstract
Publisher Summary Matrix algebra, or more precisely, linear algebra, has a particular importance in statistics. It provides a concise means of algebraic, abstract, manipulation of arrays of data, data matrices, and it permits graphical representation of those data: almost every matrix and operation has a graphical interpretation. Thus, it provides a means of communication for the mathematician; and for the layman results can be interpreted graphically by analogy with the simple three-dimensional (Euclidean) space in which we live. This simplicity of manipulation and representation makes matrix algebra particularly suited to multivariate problems. Because multivariate statistics is concerned with manipulation of data it is important to understand the way a particular representation is obtained to gain a full interpretation. This chapter presents a discussion on the definition of structures and basic matrix operations and assembles these into forms that underlie the pattern recognition and relational methods. The chapter presents an examination on the graphical representation of vectors. Transposition of a vector or matrix is a very useful computational device. Mean-centring is a way of conveniently re-locating the origin of the space. Matrices can be regarded as collections of vectors.
There are no comments yet on this publication. Be the first to share your thoughts. | 677.169 | 1 |
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Product Description:
An imaginative introduction to number theory, this unique approach employs a pair of fictional characters, Ant and Gnam. Ant leads Gnam through a variety of theories, and together, they put the theories into action-applying linear diophantine equations to football scoring, using a black-magic device to simplify problems in modular structures, and developing intriguing modifications to the rules of chess. Appropriate for anyone familiar with algebra at the high-school level, The Theory of Remainders offers a captivating introduction to both number theory and abstract algebra. Both elementary and challenging, it provides a view of mathematics as a conceptual net and illustrates the differences between conceptual and paraconceptual claims-an excellent start to expanding students' perspectives on mathematics. Exercises throughout the book form an integral part of the text, extending students' experience with the concepts under discussion and presenting opportunities to observe patterns. In addition to the exercises, a series of optional problems allows more advanced readers to further develop the concepts. Book jacket.
REVIEWS for The Theory of Remaind | 677.169 | 1 |
Product Overview
In the Key to Algebra series, new algebra concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced.
Students begin their study of algebra in Books 1–4 using only integers. Books 5–7 introduce rational numbers and expressions. Books 8–10 extend coverage to the real number system.
The answer key provides brief notes to the teacher and gives the answers to the workbook problems. Student pages are reduced and overlaid with the correct answers. Accompanies Key to Algebra Books 8-10. | 677.169 | 1 |
GEUP v.7
Interactive geometry software for performing interactive calculations, visualization and modeling in math, science and engineering. The construction concept and the interactive visualization are the basis of the program. Designed to be easy-to-use, it provides a powerful mathematical platform with a wide range of uses.
You may practice geometry using this software which is a nice one for exact visualization, can solve the complex scientific and engineering problems with only a few steps.
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GEUP 3D v.1.1.2GEUP 3D is an interactive solid geometry software for math calculation and visualization. It allows to create dynamic and general constructions/applications visually by defining math elements. GEUP 3D allows the modification of the construction ...
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Math Practice v.2.1Math Practice is an easy to use software addressed to parents who wish to help kids make their first steps into the world of math. Choose between addition, subtraction, multiplication and division.
Simplexety v.8.0.0.1A straightforward piece of software that acts as a VBScript engine and editing utility that you can use to evaluate mathematical expressions. | 677.169 | 1 |
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About this product
Description
Description
This set of Maths exercises provides perfect preparation for pupils who want lots of Maths practice in the run up to Common Entrance and other entrance exams at 13+. The practice material is arranged by topic to make revision simple. All exercises are written in the style of an ISEB exam paper, ensuring pupils familiarise themselves with the exam format and build the confidence to achieve top grades. - Endorsed by ISEB - Suitable for pupils at Key Stage 3 level and ideal for those working towards Common Entrance and other entrance exams at 13+ - Questions will familiarise pupils with the format and style of the exam so that they can enter the exam room with confidence, feeling fully prepared - Answer book is available Answers are t included in this book. Maths Practice Exercises 13+ Answer Book is available to buy separately. Also available from Galore Park - Mathematics Pocket Notes - Mathematics ISEB Revision Guide - Maths Practice Exercises 13+ Level 3 - So You Really Want To Learn Maths Books 1, 2 and 3
Author Biography
David Hanson has over 40 years' experience of teaching and has been Leader of the ISEB 11+ Maths setting team, a member of the 13+ Maths setting team and a member of the ISEB Editorial Board. He has also edited the SATIPS Maths Broadsheet. David recently retired from teaching to run a small shop trading in collectors' items. | 677.169 | 1 |
Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. Chapra and Canale's unique approach opens each part of the text with sections called "Motivation," "Mathematical Background," and "Orientation". Each part closes with an "Epilogue" containing "Trade-Offs," "Important Relationships and Formulas," and "Advanced Methods and Additional References". Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. NumerousThe seventh edition of Chapra and Canale's Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. Chapra and Canale's unique approach opens each part of the text with sections called "Motivation," "Mathematical Background," and "Orientation" Each part closes with an "Epilogue" containing "Trade-Offs," "Important Relationships and Formulas," and "Advanced Methods and Additional References." Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. Helpful separate Appendices. "Getting Started with MATLAB" and "Getting Started with Mathcad" which make excellent references.
NumerousUsers will find use of files for many popular software packages, specifically MATLAB®, Excel® with VBA, and Mathcad®. There is also material on developing MATLAB® m-files and VBA macros3397924352602131
Descrizione libro Softcover. Condizione libro3684
Descrizione libro McGraw-Hill Education, 2014. Softcover. Condizione libro: New. 7 dp97800733979243397924
Descrizione libro McGraw-Hill Education. Condizione libro: New. 0073397923397924 | 677.169 | 1 |
In the spirit of iconic Silicon Valley renegades like Steve Jobs and Bill Gates, a new generation of entrepreneurs is sparking yet another cultural upheaval through technology. They are among the Upstarts, idiosyncratic founders with limitless drive and an abundance of self-confidence. Young, hungry and brilliant, they are rewriting the traditional rules of business, changing our day-to-day lives and often sidestepping serious ethical and legal obstacles in the process.
The Upstarts is the definitive account of a dawning age of tenacity, creativity, conflict and wealth. In Brad Stone's highly anticipated and riveting account of the most radical companies of the new Silicon Valley, we find out how it all started, and how the world is wildly different than it was ten years ago.
This text teaches maths in a step-by-step fashion - ideal for
students on first-year engineering and pre-degree courses. -
Hundreds of examples and exercises, the majority set in an applied
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problem on the companion website at
plus searchable glossary,
e-index, extra exercises, extra content and more!
Engineering Mathematics is the best-selling introductory
mathematics text for students on science and engineering degree and
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The book therefore suits a full range of abilities and levels of
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in the same step-by-step fashion as the book, with hundreds of full
workings to questionsOur planet is in the grip of an obesity pandemic. More than a billion people worldwide are overweight and over 600 million are obese. We live in an obesogenic environment in which it is much easier to get fat than to stay fit. How has this come to be? Who is to blame? What can we do?
In Fat Planet, Dr David Lewis and Dr Margaret Leitch examine the social and psychological causes of the obesity pandemic in order to answer these questions. They use ground-breaking research to highlight the behaviour of corporations that relentlessly promote foods high in sugar, fat and salt, and show that these 'junk' foods have shockingly similar neurological effects to hard drugs. They consider the prevalence of food cues which unconsciously stimulate our desire to consume. And they debunk the myths of fad diets and slimming pills, suggesting practical, easily implemented strategies for sustainable weight loss.
The evidence is clear: our problem with obesity must be addressed or we will face catastrophic consequences. It is not too late to change.
DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 8E,
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thorough treatment of boundary-value problems and partial
differential equations.
Made into a major motion picture, this moving memoir written by Stephen Hawking's first wife covers the turbulent years of her marriage to the astrophysics genius, her traumatic divorce, and their recent reconciliation
Professor Stephen Hawking is one of the most famous and remarkable scientists of our age and the author of the scientific bestseller A Brief History of Time, which has sold more than 25 million copies. In this compelling memoir, his first wife, Jane Hawking, relates the inside story of their extraordinary marriage. As Stephen's academic renown soared, his body was collapsing under the assaults of a motor neuron disease. Jane's candid account of trying to balance his 24-hour care with the needs of their growing family reveals the inner strength of the author, while the self-evident character and achievements of her husband make for an incredible tale presented with unflinching honesty.
Jane's candor is no less apparent when the marriage finally ends in a high-profile meltdown, with Stephen leaving Jane for one of his nurses and Jane marrying an old family friend. In this exceptionally open, moving, and often funny memoir, Jane Hawking confronts not only the acutely complicated and painful dilemmas of her first marriage, but also the relationship's fault lines exposed by the pervasive effects of fame and wealth.
The result is a book about optimism, love, and change that will resonate with readers everywhere. readers
everywhere.
Racist thinking – that intelligence is influenced by racial origin, for example – was part of mainstream science a century ago and, surprisingly, is still endorsed by maerick scientists at some of the world's most respectable institutions today. The myths being perpetuated on genetics, race, IQ and general intelligence are what Black Brain, White Brain challenges – precisely, systematically and in painstaking detail.
In this immensely readable book Evans tackles highly complex subjects, from the origin of humans and the genesis of intelligence to athletic performance and genes, IQ and cleverness, in a fluent and engaging style that makes science accessible and the facts absorbing. Persuasive, without being didactic or sermonising, and lightened by a wry sense of humour, Evans's text weaves it all together in such a way that one is keen to follow all the threads the better to see the larger tapestry.
Carefully balancing claims, testing dodgy propositions and presenting fairly the theories of modern scientists and evolutionary psychologists, Evans shows just how uniform we are, genetically, as a species and that it's mainly the environment we grow up and live in that's the strong determining factor in general intelligence.
Discrete Mathematical Structures, Sixth Edition, offers a clear and
concise presentation of the fundamental concepts of discrete
mathematics. Ideal for a one-semester introductory course, this
text contains more genuine computer science applications than any
other text in the field. This book is written at an appropriate
level for a wide variety of majors and non-majors, and assumes a
college algebra course as a prerequisiteWhat are things made of? What is the sun? Why is there night and day, winter and summer? Why do bad things happen? Are we alone? Throughout history people all over the world have invented stories to answer profound questions such as these. Have you heard the tale of how the sun hatched out of an emu's egg? Or what about the great catfish that carries the world on its back? Has anyone ever told you that earthquakes are caused by a sneezing giant? These fantastical myths are fun - but what is the real answer to such questions?
The Magic of Reality, with its explanations of space, time, evolution and more, will inspire and amaze readers of all ages - young adults, adults, children, octogenarians. Teaming up with the renowned illustrator Dave McKean, Richard Dawkins answers all these questions and many more. In stunning words and pictures this book presents the real story of the world around us, taking us on an enthralling journey through scientific reality, and showing that it has an awe-inspiring beauty and thrilling magic which far exceed those of the ancient myths.
We encounter rainbows, our genetic ancestors, tsunamis, shooting stars, plants, animals, and an intriguing cast of characters in this extraordinary scientific
voyage of discovery. Richard Dawkins and Dave McKean have created a dazzling celebration of our planet that will entertain and inform for years to come.
WileyPLUS is a research-based online environment for effective teaching and learning. WileyPLUS is packed with interactive study tools and resources–including the complete online textbook–to give your students more value for their money.
WileyPLUS is now equipped with an adaptive learning module called ORION. Based on cognitive science, WileyPLUS with ORION, provides students with a personal, adaptive learning experience so they can build their proficiency on topics and use their study time most effectively. WileyPLUS with ORION helps students learn by learning about them.
He became obsessed with fish during his early childhood and carried this passion with him throughout his career. Mike Bruton was born in the town where the first living coelacanth was discovered and studied at Rhodes University in South Africa at the same time as the great ichthyologist, Professor JLB Smith, who described 'old fourlegs'. He subsequently became Director of the Ichthyology Institute established in Smith's name and pioneered searches for the coelacanth off the coast of southern Africa and in the Western Indian Ocean using the German research submersible, 'Jago'. Together with colleagues from South Africa, the USA, Canada and Germany he made many new discoveries on the biology of this extraordinary fish and campaigned internationally for its conservation.
Mike's research on the freshwater fish of Africa and the Middle East lead to entanglements with crocodiles, hippopotami, giant snakes and military operations but also allowed him to contribute to international efforts to conserve wetlands and endangered species. He also made major contributions to our understanding of the ways in which fish are adapted to their watery environments and how they made that epic evolutionary transition from water onto land.
Whether or not you are a fisherman, aquarist or sushi eater, you will be fascinated by these astonishing tales of a man who almost became a fish!
Alan Tucker's newest issue of "Applied Combinatorics" builds on the
previous editions with more in depth analysis of computer systems
in order to help develop proficiency in basic discrete math problem
solving. As one of the most widely used book in combinatorial
problems, this edition explains how to reason and model
combinatorically while stressing the systematic analysis of
different possibilities, exploration of the logical structure of a
problem, and ingenuity mathematicsThis text aims to differentiate itself from other business
statistics texts in two important ways. It seeks: to present the
material in a non-technical manner to make it easier for a student
with limited mathematical background to grasp the subject matter;
and to develop an intuitive understanding of the techniques by
framing them in the context of a management question, giving
layman-type explanations of methods, using illustrative business
examples and focusing on the management interpretations of the
statistical findings. This further edition continues the theme of
using Excel as a computational tool to perform statistical
analysis. While all statistical functions have been adjusted to the
Excel (2013) format, the statistical output remains unchanged.
Using Excel to perform the statistical analysis in this text allows
a student: To examine more realistic business problems with larger
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statistical findings; and to transfer this skill of performing
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overall purpose is to develop a management student's statistical
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This book covers Statistical methods and Calculations skills.
Statistical methods cover collection of data, descriptive methods
and inferential methods of analysis. Calculation skills cover
elementary calculations, percentages and ratios, equations, graphs
and interest calculation. The elementary calculations include basic
calculations such as exponents, decimals, scientific notation,
logarithms and rounding. Students with no mathematics background
can learn how to do basic calculations before concentrating on the
statistical applications. For some courses calculations such as
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of the core module and are also covered in this module.
As the amount of information in biology expands dramatically, it
becomes increasingly important for textbooks to distill the vast
amount of scientific knowledge into concise principles and enduring
concepts.As with previous editions, Molecular Biology of the Cell,
Sixth Edition accomplishes this goal with clear writing and
beautiful illustrations. The Sixth Edition has been extensively
revised and updated with the latest research in the field of cell
biology, and it provides an exceptional framework for teaching and
learning. The entire illustration program has been greatly
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relationships, icons are simpler and more consistent within and
between chapters, and micrographs have been refreshed and updated
with newer, clearer, or better images. As a new feature, each
chapter now contains intriguing openended questions highlighting
"What We Don't Know," introducing students to challenging areas of
future research. Updated end-of-chapter problems reflect new
research discussed in the text, and these problems have been
expanded to all chapters by adding questions on developmental
biology, tissues and stem cells, pathogens, and the immune system.
Atkins' Physical Chemistry epitomises the benchmark of achievement
for a chemistry degree throughout the world. Its broad coverage,
concise explanations, and robust mathematical support are clearly
presented in an engaging style to furnish students with a solid
foundation in the subject. In this ninth edition the authors
continue to refine their presentation of physical chemistry. The
coverage of introductory topics is streamlined, and the addition of
a new fundamentals chapter provides students with an overview of
key principles on which the subject is based. The text includes
increased coverage of computational chemistry and additional
contextual examples of materials chemistry throughout, mirroring
the current needs of today's students and lecturers. Mathematics
remains an intrinsic yet challenging part of physical chemistry.
Extensive mathematical support, including a 'Checklist of key
equations' at the end of every chapter, and 'Mathematical
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empower students to overcome any barriers to understanding that
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sacrifice the rigour and depth of the mathematical content. The
pedagogical framework, which is a hallmark of the authors' writing,
has been further strengthened. New 'Key points' provide summaries
of the main take-home messages of each section and enable students
to gain an overview of the topic before tackling it in depth;
'Brief illustrations' give a concise insight into how a particular
mathematical concept is applied in practice, providing students
with the opportunity to contextualise their learning. All these
exciting new features and innovations are presented within a
refreshed full colour text design, to stimulate and engage students
yet further. The Online Resource Centre contains Living Graphs,
illustrations from the book, and web links. An Instructor's
Solutions Manual (free to adopters) and a Student's Solutions
Manual are also available. Access to the Physical Chemistry eBook
is also included with the purchase of the printed text. Offering
enhanced functionality, including notetaking and highlighting, it
also includes access to 'Explorations in Physical Chemistry', which
contains interactive Excel worksheets and exercises related to the
Living Graphs, allowing students to visualise, actively explore and
test their understanding of the subject.
What if intelligent life on Earth evolved not once, but twice? The
octopus is the closest we will come to meeting an intelligent
alien. What can we learn from the encounter? In Other Minds, Peter
Godfrey-Smith, a distinguished philosopher of science and a skilled
scuba diver, tells a bold new story of how nature became aware of
itself - a story that largely occurs in the ocean, where animals
first appeared. Tracking the mind's fitful development from unruly
clumps of seaborne cells to the first evolved nervous systems in
ancient relatives of jellyfish, he explores the incredible
evolutionary journey of the cephalopods, which began as
inconspicuous molluscs who would later abandon their shells to rise
above the ocean floor, searching for prey and acquiring the greater
intelligence needed to do so - a journey completely independent
from the route that mammals and birds would later take. But what
kind of intelligence do cephalopods possess? How did the octopus, a
solitary creature with little social life, become so smart? What is
it like to have eight tentacles that are so packed with neurons
that they virtually 'think for themselves'? By tracing the question
of inner life back to its roots and comparing human beings with our
most remarkable animal relatives, Godfrey-Smith casts crucial new
light on the octopus mind - and on our own. | 677.169 | 1 |
This is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, it should give students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. Features include: a classical approach to abstract algebra focussing on applications; an accessible pedagogy including historical notes written by Victor Katz; and a study of group201763904808190201763904
Descrizione libro Pearson. Condizione libro: New. 020176390720176390426866
Descrizione libro Condizione libro: Brand New. Book Description:Pearson. Hardcover. Book Condition: New. 0201763907 Codice libro della libreria ABESTTND1518 | 677.169 | 1 |
Compressed Zip File
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1.07 MB | 2 pages of guided notes; 17 slide SMART Notebook presentation pages
PRODUCT DESCRIPTION
This lesson is the second of five lessons in the Math 1 Linear Equations and Inequalities Unit.
In this lesson, the students will learn how to:
~solve linear equations with a variable on both sides,
~solve linear equations by distributing and combining like terms first,
~solve linear equations that include fractions | 677.169 | 1 |
...therefore it works well alongside A-level Mathematics. If you want to investigate the limits of space, the beginning of time and everything in between... Learn about: GCSE Physics, GCSE Mathematics...
...grounding in scientific principles, methods of scientific analysis and laboratory investigational techniques. On this course you will take six units which will include... Learn about: Applied Physics...
...The laws revealed by careful study and experiment should apply from subatomic to cosmological scales. In fact, these two extremes turn out to be intimately related... Learn about: English Language, GCSE Mathematics, Problem Solving...
...It includes conceptual challenges such as quantum theory, relativity and chaos theory, and lies at the heart of most modern technology - for example the computer... Learn about: GCSE Mathematics, Quality Training, GCSE Physics... | 677.169 | 1 |
About cabrilog - Missions
At the service of math and science pedagogy
Cabri software has been distributed worldwide for more than 20 years. Known for their pedagogical focus, Cabri software products are already used by 100 million users.
Developed for high school and middle school learners, this software allows students to directly manipulate mathematical objects (algebra, analysis, geometry, trigonometry..) or physical objects (mechanical, optical.) so students can more easily grasp the concepts.
Turning toward the demands of teaching
Research and international cooperation
As a professor in numerous universities and the former director of research for the
National Science Research Center (CNRS) in France, Jean-Marie Laborde is the current president of the Cabrilog company.
There has been a great deal of input given to the company by researchers throughout the world at frequent conferences
and meetings on the utilization of educational technology.
A major international conference «CabriWorld» is also held by renowned
universities every other year, which has greatly helped the advancement of mathematical pedagogy.
Triple expertise: educational, ergonomic and mathematical
Cabrilog's team has people from very different backgrounds including scientists, former teachers, educational specialists, computer scientists and mathematicians. They are all motivated by the same desire: to create tools that will increase the pleasure of teaching and give students a new way to visualize and manipulate objects so abstract concepts become concrete and understandable.
A lasting product for the long-term
Cabrilog has already been chosen as a long-lasting partner by educational decision makers throughout the world who support teaching mathematics and science in a concrete fashion.
This partnership with Cabrilog translates into a deployment of Cabri software on a large scale, permanent support for users and appropriate technical support, as well as the future evolution of products and services to meet the needs of each school level. | 677.169 | 1 |
Shimon Even's
'[This book] provides an intensive study of the main topics of the field, with [a] list of problems following each topic and explains algorithms in a formal but simple language with a direct and intuitive presentation. Its usage is not limited to being a textbook for an upper-level undergraduate or a graduate course in mathematics. Thanks to the rich set of results covered it can also be used as a reference book for postgraduate students and researchers in the area of Graph algorithms … Besides being extremely useful to those who are interested in theory of graphs and design of graph algorithms, instructors can also benefit from the easy way it presents various ideas and approaches to problem solutions.' Vladimir Lacko, Zentralblatt MATH
'The book is an excellent introduction to (algorithmic) graph theory, and seems to be a good choice for a class on the topic, or for self-study. Each chapter comes with its own selected bibliography, and ends with a collection of problems to help the reader check his or her understanding of the material presented in that chapter. Proofs are always provided and are also the topic of a few selected exercises.' Anthony Labarre, SIGACT News
Descrizione del libro:
Shimon Even's Graph Algorithms, published in 1979, was a seminal introductory textbook. This thoroughly revised second edition, with a foreword by Richard M. Karp and notes by Andrew V. Goldberg, continues the exceptional presentation from the first edition, explaining algorithms in formal but simple language with a direct and intuitive presentation.Sh36534 Sh 2011. Paperback. Condizione libro: NEW. 9780521736534 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0473151 | 677.169 | 1 |
Watch how it works.
Try it.
Algebra By Hand is a web app that will improve your students' algebraic procedural fluency with simplifying expressions, expanding expressions, and solving linear equations. It corrects your students' assignments for you and gives you a full grade report so that you can grade less and teach more. | 677.169 | 1 |
INTRODUCTION
Who is this website for?
Abstractmath.org is designed for people who are beginning the study of some part of abstract math. This includes:
University math majors or beginning grad students taking math courses that require working with abstract definitions and understanding and creating proofs.
Teachers of university courses like those just described.
Professionals (in any one of many fields) who need to learn math that is described in terms of mathematical properties with no reference to applications.
Anyone who is curious about advanced math!
What is abstract math?
Abstract math is my name for what is often called "higher math" or "pure math".
Abstract Math provides the conceptual background and theory that justifies the way math is used in applications.
Abstract math requires conceptual reasoning about abstract ideas (as well as manipulating symbols), in particular on understanding and constructing proofs.
Abstract math is mathematics for its own sake. In doing abstract math, you state theorems and prove them mostly in the context of mathematical ideas rather than applications or ideas from other fields.
When you first meet up with abstract math, you may find it hard to understand or even bizarre. If you need to know some piece of abstract math you may find the texts in the subject appear to be unmotivated and full of mysterious chains of reasoning. This happens to many
people who are quite good at solving trig, derivative and integral problems.
Diagnostic examples: These examples illustrate some of the many kinds of difficulty people meet with when studying and doing abstract math. Each example gives links to the relevant sections of the website or elsewhere.
Gyre&Gimble: A blog that discusses new ideas I have about abstract math and
language, some specifically related to abstractmath.org.
Mathematica notebooks and CDF files: These are the sources for most of the diagrams, including interactive diagrams, in abmath and in the Gyre&Gimble posts. There is more information about these files below.
Reading this website
Links
This website is aimed at people with widely varying knowledge of parts of math. When some sort of math object or method is mentioned, it is usually linked to a definition or explanation elsewhere in abstractmath.org or in Wikipedia.
I encourage you to click on the link if you are not sure you understand a word or phrase in blue. This is particularly important if the word is an ordinary English word rather than a technical word such as "homomorphism", because mathematicians routinely give ordinary words technical meanings which may be quite different from their ordinary meanings, for example "definition" and "group".
Many of the important ideas about mathematics in this site are summarized in
Slogans in Purple
Prose
I put the slogans in purple prose because they are aimed at correcting deep misunderstanding that some readers will have about certain topics. Take purple prose statements seriously.
It takes work to understand all the ins and outs of purple-prose slogans.
Many of them require thinking about things in a way that is very different from the way you think about things in daily life.
Some of them are difficult to believe and put into practice.
Images and metaphors
In many places in abmath you will find a section or an article with the phrase "images and metaphors" in its title. An article title "Images and metaphors for [topic]" will tell you about how to think intuitively about [topic]. Gaining intuition about a topic in math is as important as learning how to understand and come up with proofs.
Mathematica
Many of the abmath articles are illustrated by diagrams created in Mathematica.
The programming for these illustrations are in Mathematica notebooks, all of which have a file extension ".nb".
The illustrations are all .gif, .jpeg or .png files.
There are also links to interactive documents with extension ".cdf".
All these files are in the directory Mathematica, many of them in subdirectories.
How to use the notebooks
If you own or have access to Mathematica 10.4 or later, you can load an .nb or a .cdf file into Mathematica and run the interactive commands (the ones with sliders), turn any 3D diagram to get better views, and change and run any command in any way you want. Like everything in abstractmath.org, the files are licensed under a Creative Commons Attribution-ShareAlike 2.5 License.
If you own CDF Player, you can load an .nb or .cdf file into the player and run the interactive commands and turn 3D diagrams around to get different views. But you can't change the document or compile any command in it.
Some of the notebooks are also supplied as .pdf files. If you don't have CDF player, you can download the PDF version of the document and read it. (The .nb file itself can be read in an editor but it is written in an impenetrable code.)
Other sources for math
Math sites
I provide links to other treatments of a specific topic at the point where they are discussed. These general links are particularly useful for learning about various aspects of math:
Articles and blog posts about abstract math
My blog Gyre&Gimble contains many articles on the difficulties students have with beginning abstract math. You can find them by selecting the category "student difficulties". (Finding the button for selecting categories may require widening the window.)
Some other articles:
These articles are all available for free. I have avoided referring to articles behind paywalls in abstractmath.org. | 677.169 | 1 |
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4.44 MB | 39 pages
PRODUCT DESCRIPTION
STAARS ALGEBRA 1 EOC RESOURCES
This file contains 13 worksheets for each TEKS covered in reporting category 1. Each worksheet has 18 problems. The worksheets are designed so that the student can practice the skills that they will need to solve STAAR EOC problems for this category. This is a great resource for first time testers or re-testers.
The student will demonstrate an understanding of how to use algebraic methods to manipulate numbers, expressions, and equations.
The following TEKS are covered in this document:
A.10A – add and subtract polynomials of degree one and degree two (supporting standard)
A.10B – multiply polynomials of degree one and degree two (supporting standard)
A.10C – determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend (supporting standard)
A.10D – rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property (supporting standard)
A.10E – factor, if possible, trinomials with real factors in the form ax^2 + bx + c, including perfect square trinomials of degree two (readiness standard)
A.10F – decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial (supporting standard | 677.169 | 1 |
Murderous Maths is great fun, but what about when it all starts getting
serious?
If you want to get on in life there are a few basic things you'll find helpful:
Being able to write your name
Dressing yourself
Remembering to say "please" and "thank you"
GCSE maths
Yes, it's a sad fact that at some point most people will need to take
maths exams, so Scholastic decided to do something about it. They grabbed
Kjartan Poskitt, bundled
him into the back of an unmarked van and drove him to a secret location where they locked
him up until he'd written "The Alternative GCSE guide to Maths"
DATA: questionaires, surveys, graphs and charts, cumulative frequency, means modes and
medians, histograms, standard deviation (which gives you a good excuse to play with
some of the odd looking buttons on your calculator) and probability.
There are also loads of tips on impressing the examiners, and neat little bits of
advice ranging from how to present answers to what to do if your hands are sweaty.
Does it cover everything?
Just about. Across the country there are lots of different exam boards
with different syllabuses, and you have the choice of trying the foundation level,
the intermediate or the higher. This means that to explain EVERYTHING
the book would be about the size of a bus. However, it does cover all
the foundation stuff, and most of the main topics for the other levels. So if you
know it ALL then you'll get at least 90% and your maths teacher will carry a picture
of you around for ever.
Is this like other GCSE guides?
Find out for yourself. If you have another guide, ask these
questions and compare them with the answers for this one!
Does it just have one or two worked examples and then give you loads of
dull questions to try yourself?
Does it have cute pictures to cheer you up?
Does it talk through every topic in full starting with the simplest details, so that
if you didn't understand it in class, you've got another chance?
Is it about the same size and weight as a phone directory? And is it
about as depressing?
Does it have example questions on things like mad yaks, crop circles and lifts that scare
people silly? And does it give you a good reason for chucking your
tedious boyfriend/girlfriend?
Are the graphics that explain the graphs and geometry nice and clear?
Does it have lots of tips such as: "make sure your pencil is sharp without
being lethal" and "how to test your calculator is working correctly"?
Does it tell you what examiners are like?
If you find GCSE maths too easy in English, is there a KOREAN translation available?
Here are the answers for Kjartan's guide:
1/ No
2/ Yes
3/ Yes
4/ No, it's about the size of a fattish paperback novel and no, it's
not as depressing
5/ Yes and yes
6/ Have a look at this graph and decide yourself (and if you don't understand
what this graph is supposed to be showing you, this book will make everything clear!)
7/ Yes
8/ Yes, and they aren't so bad after all.
9/ Yes indeed there is.
Do the Murderous Maths books help with GCSE?
Yes. Although they are aimed at kids aged 10-12 (key stages 2 and 3),
a lot of the foundation topics do appear:
"The Essential Arithmetricks" covers basic
arithmetic - and remember that a lot of GCSE work does not let you use a calculator!
"The Mean and Vulgar Bits" covers fractions, factors and introduces averages.
"Desperate Measures" helps with line/area/volume and compound measures such as speed.
"Do You Feel Lucky?" concentrates on probability.
The books generally cover other topics too including estimations, shape,
rounding off numbers and Pythagoras.
"I gave the books to some of my Year 10 students. They thought they were "fantastic"
"brilliant" and "amazing"...."
"I imagine students will find themselves
whizzing through with a real sense of progress..."
"The more you look at these books, the better they seem. They would be an asset for
school libraries and individual students. The information is sound - the kind of stuff I
wish someone had taught me - and the lively style certainly makes its point with
admirable clarity."
"The audience and tone are cleverly judged, the jokes are often
genuinely funny, and - best of all - (these are) examples of books that students will
really enjoy reading. At less than a fiver that seems like a bargain."
Extracts from Geoff Barton's review of Scholastic's "Alternate GCSE Guides"
printed in the Times Educational Supplement March 2nd 2001 | 677.169 | 1 |
Book Detail
Book Description
Advanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need to know before moving forward, the text builds a solid foundation upon which to progress.
The new edition of this successful text focuses on vector spaces and the maps between them that preserve their structure (linear transformations). Designed for advanced undergraduate and beginning graduate students, the book discusses the structure theory of an operator, various topics on inner product spaces, and the trace and determinant functions of a linear operator. It addresses bilinear forms with a full treatment of symplectic spaces and orthogonal spaces, as well as explains the construction of tensor, symmetric, and exterior algebras.
Includes several new exercises and examples, with a solutions manual available upon qualifying course adoption
The book shows students the beauty of linear algebra while preparing them for further study in mathematics.
About the Author
Bruce Cooperstein is a professor of mathematics at the University of California, Santa Cruz, USA. He was a visiting scholar at the Carnegie Foundation for the Advancement of Teaching (spring 2007) and a recipient of the Kellogg National Fellowship (1982–1985) and the Pew National Fellowship for Carnegie Scholars (1999–2000). Dr. Cooperstein has authored numerous papers in refereed mathematics journals.
Reviews
… The book is well written, and the examples are appropriate. … Each section contains relevant problems at the end. The 'What You Need to Know' feature at the beginning of each section outlining the knowledge required to grasp the material is useful. Summing Up: Recommended.
--CHOICE
Pedagogically, a structural and general approach is taken, and topically, the material has been chosen in order to cover the material a beginning graduate student would be expected to know when taking a first course in group or field theory or functional analysis. | 677.169 | 1 |
Introduction to graphs
Graphs are a graphical depiction of data, or relation between two or more variables. In this chapter we will learn about linear graphs, coordinates, and some applications. We will see that data becomes very easy to understand and interpret when depicted through graphs!
A series of points, discrete or continuous, forming a curve or surface, each of which represents a value of a variable make up a linear graph. It can also be called a network of lines connecting points. In this topic we will learn how to read a line graph.
In this topic we will learn about visualization of sequence relationships, interpreting & graphing relationships, interpreting relationships betweens patterns on a graph, and we will do some exercises which will help us understand the use of graphs a little better! | 677.169 | 1 |
Presentation (Powerpoint) File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.07 MB | 5 pages
PRODUCT DESCRIPTION
Challenge your students to create and use one variable linear and simple exponential equations in the contexts of planning a train ride and measuring bounce height, and use the included rubric and answer key to understand what they know and if they meet Common Core standards! Use for practice, assessment, and more!
This product contains two multi-step application problems, focusing on creating one-variable linear expressions and one-variable exponential expressions (integers only for exponential). These are the two components to the Common Core Algebra 1 Unit 1 standard A.CED.1. These problems encourage your students to connect math to the real world while making sure you stay aligned to the common core.
These problems are fantastic for pre- and post-assessment, common assessment across classrooms, as progress checks, or as extra practice. Want to make sure your students know what Common Core says they should? Successful completion of these problems demonstrates mastery of the corresponding standards!
Each problem is based on an application, and includes links to the Common Core math practices!
RUBRICS are also included on a 4, 3, 2, 1 standards-based grading scale for standard A.CED.1, as well as descriptions of other standards and math practices that each problem covers | 677.169 | 1 |
QBank is a web application that assists Problem Authoring and
Publishing.
At the present time, this is an experimental system, and is not
actively being used to create OpenDSA exercise content.
But its goal is to replace a lot of the current programming required
to develop our OpenDSA exercises.
The user interface is meant to be intuitive and easy to
understand.
This document will give you a feel of the overall
capabilities and functionality of QBank tool.
The key features of the QBank tool are:
Easy interfaces for Problem authoring based on the main Problem types:
The QBank editing interface consists of text boxes and buttons that are self explanatory. The text boxes also accepts HTML and JavaScript when appropriate.
The What'sthis? button gives helpful indicators on the purpose of different text boxes and what different parameters can be added to make the Problem powerful. It also tells you some functions that can be used to make more effective questions.
This allows for generation of different problem instances based on a static Problem Template with variables that take on different specified values.
Variables are used by specifying the variable name within <var>...</var> delimiters.
Variable Name is an ID for the var as that'll be the name that you'll refer to in the future.
Variable value
Values that the variable can take is specified here. This can be as simple as commma separated values or functions that can be accepted by the publishing tool/ parsed into a compatible format.
Another example to make a variable named SPEED1 that is a number from 11 to 20 you would do:
Variable Name : SPEED1
Variable Value : randRange(11,20)
The content of a <var>...</var> block is executed as JavaScript, with access to to all the properties and methods provided by the JavaScript Math object, as well as those defined in the modules/scripts you included:
This type of question is for math problems where there are calculations involved as the solution.
Variables:
The values the variables take are between a range of values that can be specified using the javaScript randRange(min,max) function.
Solution:
The answer is the exact calculation that is specified in the Problem Template.
For example:
A + B - C, is enough to specify the answer.
The author doesn't need to explicitly make the calculation and write the correct answer.
This ensures the validity of answer and gets rid of the risk specifying an incorrect answer for the solution.
Another important feature of this type of problem is, the author doesn't need to explicitly provide choices, since the user is expected to fill the answer in the blank provided. This is very effective for math problems.
It is comprised of different previously authored questions from the Repository. You can combine different type of questions, free-form and multiple-choice simple questions and matching questions in your multipart question.
Common Introduction
The problems share a common introduction which generally contains information that is common to the questions.
Problem
Problem Name
Specify the exact identifier for a Problem. You can Browse the Problems in the repository by clicking the show button. You can then click Add and the Problem Name gets added. | 677.169 | 1 |
Description
Try Algebra Explained and see why people are saying, "Love this app", "Bravo", "Fun and interesting", "Terrific" and "[Jamie] is a great teacher... 'THE BEST'!".
The Algebra Explained series teaches algebra using ENTERTAINING VIDEO LESSONS, study cards and practice problems to make learners successful and interested. Expertly designed by a former math teacher with a Masters in Curriculum and Development, Algebra Explained connects abstract concepts to relevant real-world topics using fun lessons that explain algebra in a meaningful way.
The creative and often humorous lessons are taught by the enthusiastic Jamie with assistance from her sidekick, Carter. These colorful lessons will fit interesting learning and efficient practice into any busy schedule. Don't spend hundreds of dollars on tutoring when you can receive excellent instruction at your convenience, for an exceptional price. With Algebra Explained you can have your tutor with you at all times.
Algebra Explained includes the following features:
• Each lesson is an expertly produced video with clear examples that use coloring and animation to highlight key concepts
• 10 thoughtfully created and sequenced practice problems per lesson
• Study cards for key facts with the ability to edit, create or delete study cards
• Email your study cards to yourself or a friend
• Electronic scratch paper
• Electronic graph paper
• Calculator
• Quizzes and a test
• Problems & lessons that emphasize personal finance
• History of practice sessions
• Souvenir diploma for graduates
• Add additional learners for free
• Password protected login as desired
• Reporting to track progress by learner, lesson or date
Chapter 1 covers the following concepts:
• Introduction to exponents
• The order of operations
• Review of fractions
• Evaluating algebraic expressions
• Euler's Number, "e"
Chapter 1 includes connections to the following real-world topics:
• Basketball
• Interest
• Investing
• Credit cards
• Heart rate
• Pie... lots and lots of pie
• The lottery
• Present value of money
Each chapter in the series is sold separately.
Algebra Explained is also an excellent review of algebra for college placement exams or for adults returning to school.
This app is a great way to stay fresh during the summer or prepare for the coming school year.
Not sure if your child is ready for algebra? Use our series to see if they can take the leap to the next level.
See our website for instructions on getting inducted into our "Hall of Fame". (No cash value)
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Learn independently about the Baha'i Faith thru this easy to use tool. It focuses on the Baha'i Writings exclusively letting you get a good understanding of the Faith. Book: The World Order of Baha'u'llahTools:-EmailTwitterPrintSharingSearch more | 677.169 | 1 |
Circuit Training - Riemann Sums (calculus)
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
1 MB | 4 pages
PRODUCT DESCRIPTION
Give your students engaging practice with the circuit format! This Riemann sum circuit will require students to estimate area (or amount) using left, right, midpoint, and trapezoidal approximations. Some of the problems are contextual, some straight math. There is no trig on this circuit and there are a lot of tables.
To advance in the circuit, students must find their answer and then that becomes the next problem. This element of self-check in the math classroom is essential. My students do not get up if they are working problems in this format -- some how it motivates them to press forward.
Try a circuit! You and your students will be hooked!
I do not included answer keys because the answers are embedded in the circuit. The only prep the teacher needs to do is work the circuit ahead of the students so it is clear how the idea unfolds. Can be used as guided notes, homework, classwork, a scavenger hunt, or even a quiz.
My colleagues and I throughly check the circuits to make sure they are mistake-free, but if you ever have a question or have a comment, please feel free to email me! virginia.cornelius@gocommodores | 677.169 | 1 |
New GCSE Maths - Student Book Higher 1: AQA Modular
Collins New GCSE Maths Student Books are the perfect way to help students working at Grades C to A* tackle the 2010 AQA GCSE Maths specification. Packed with functional skills, problem solving and graded maths practice, it will give your students the confidence to take on all aspects of the new curriculum in their exams and own lives.
Collins New GCSE Maths AQA Modular Student Book Higher 1, written by experienced teachers and examiners, is organised exactly according to the 2010 AQA GCSE Maths 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 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 • Deliver the key facts to students with the comprehensive glossary and mathematics fact sheet, designed to ensure that students understand crucial maths vocabulary and processes
Content covered in this book: • Core (Content that needs to be covered for all 3 units) • Unit 1 • Unit 2 (For non-calculator assessment. Exercises in the book include both calculator and non-calculator practice questions)
For Unit 3 you will need AQA Modular Student Book Higher 2 (9780007340132)
Book Description Collins Educational1861658
Book Description Collins Educational, 2010. Book Condition: Good. N/A. Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP92312316 1587089
Book Description Collins Educational, 2010. Paperback. Book Condition: Used; Good. the first page is dirty **SHIPPED FROM UK** We believe you will be completely satisfied with our quick and reliable service. All orders are dispatched as swiftly as possible! Buy with confidence!. Bookseller Inventory # 2378984
Book Description Paperback. Book Condition: Good. The book has been read but remains in clean condition. All pages are intact and the cover is intact. Some minor wear to the spine. Bookseller Inventory # GOR0036733475263 | 677.169 | 1 |
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The fun and friendly guide to really understanding math U Can: Basic Math & Pre-Algebra For Dummies is the fun, friendly guide to making sense of math. It walks you through the "how" and "why" to help you master the crucial operations that underpin every math class you'll ever take. With no-nonsense lessons, step-by-step instructions, practical... more... | 677.169 | 1 |
with Applications
Overview
Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses. | 677.169 | 1 |
Introduction "Many phenomena in sciences and engineering depend on more than one variable. For example, an unknown function of a real-world problem usually depends on both time t and the location of the point (x,y,z)." p. 451 Physical laws, including the conservation of energy, momentum and mass, the laws of electricity and magnetism, thermodynamics, and chemical kinetics, require that the partial derivatives of these functions satisfy certain (partial differential) equations.
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Introduction Increasingly, PDE's are used to model biological and social phenomena. The models include the "law of supply and demand" in economics that determines equilibrium prices of goods and services, the Black-Sholes equation for options prices in arbitrage-free financial markets, and laws that describe the evolution of population densities that are used in epidemiology, ecology, and population genetics. | 677.169 | 1 |
420-321 Machine Tool Operation II
Enhance ability to use323 Machine Tool Operation III
Hone the skills related to using387 CNC Turning Center
Develop the skills needed to program, set up, and operate a CNC turning center. Use blueprint and math skills to select tooling, determine a method of workholding, and write a CNC program to completely machine a part. Learn to modify existing programs and offsets to maintain dimensional control.
Offering number: 439-181-001
804-107 College Mathematics
Review and develop fundamental concepts of mathematics pertinent to the areas of arithmetic and algebra; geometry and trigonometry; and probability and statistics. Special emphasis is placed on problem solving, critical thinking and logical reasoning, making connections and using calculators. Topics include performing arithmetic operations and simplifying algebraic expressions, solving linear equations and inequalities in one variable, solving proportions and incorporating percent applications, manipulating formulas, solving and graphing systems of linear equations and inequalities in two variables, finding areas and volumes of geometric figures, applying similar and congruent triangles, converting measurements within and between U.S. and metric systems, applying Pythagorean Theorem, solving right and oblique triangles, calculating probabilities, organizing data and interpreting charts, calculating central and spread measures, and summarizing and analyzing data. | 677.169 | 1 |
books.google.com - Collins... Modular
Edexcel Modular
Collins of questions including application questions.
The Workbook allows students to:
* Understand application of maths in real-life scenarios by working through the Application sections which cover Functional Skills Level 1
* Prepare for exams using the exam questions at the end of each chapter | 677.169 | 1 |
Spheres
High schoolers work algebraic expressions with various types of powers to find the solutions. They Students also become familiar with problems that involve the square roots of numbers. The work should be completed with computational accuracy. | 677.169 | 1 |
Mathematics has come a long way in the last couple of centuries and seems that the most recent developments are too complex to discuss outside a limited circle of experts.
Is it possible then to explain to a broader audience the importance and essence of some of the later 20th century mathematical developments? This was the challenge the author set for himself, and for the most part he succeeds meeting it in this book. As the title indicates, he covers five main topics ("Golden Rules" as he calls them) in areas ranging from Game Theory (Min Max Theorem) to Optimization Theory (the Simplex Method). I appreciated the fact that he not only explains the basic theory (in high-level terms of course), but that he also complemented this with examples of practical applications for the theories. While many in the mathematics field profess that Mathematics should not be "subservient" to other sciences and it's practicalities, I always found Mathematics at its best when it finds a relationship with practice; even if that takes her a couple of years... This is certainly not a book that any person will enjoy. As the author himself warned, there is a basic mathematical foundation needed to understand the material; but one year of college-level Calculus and Algebra should suffice for most of it. This places the book within the reach of most readers with a college-level science education. I enjoyed the material, and while it doesn't give you enough depth to fully understand the theories, it does broaden your horizons and suggests paths for further study. Recommended. | 677.169 | 1 |
Course Summary
As you're preparing for the UExcel Contemporary Mathematics exam, consider using our engaging study guide course to help you get ready for the test. In just a few weeks, these learning tools can help build your confidence so you're ready to earn a great score on the exam and earn college credit.
About This Course
The following self-guided course of study has been designed to help you get ready for the computer-based UExcel Contemporary Mathematics exam. In this course, you'll find a series of brief, entertaining videos and quizzes that you can use to prepare for the exam in the fastest, most efficient way possible. When you've passed the test, you'll be eligible for 3 college credits, acceptable at many colleges or universities across the country.
Beginning chapters in the UExcel Contemporary Mathematics course cover topics on mathematical reasoning and word problems. Your instructor will also show you how to calculate the probability of events and work with statistics. Topics related to the real-life use of numbers include the mathematics of voting. At the end of the course, you'll also learn about graph theory and interpreting a weighted graph.
Syllabus and Course Information
The UExcel Contemporary Mathematics course covers the same mathematical concepts and equations you'll find on the real UExcel test. After you've finished viewing the lessons and taking the accompanying self-assessments, you should have the ability to:
Understand how critical thinking and logic are used to solve problems in math.
Perform calculations with binomial and conditional probabilities or the probability of simple events.
Calculate expected values of discrete random variables and games of chance.
Interpret the expected value of a continuous random variable.
Develop continuous probability distributions, and use normal distribution and z-scores.
Demonstrate your understanding of election math, such as the Borda Count and Quota Rule.
Identify the different methods of apportionment used in election math.
Understand the guiding principles behind graph theories.
Prerequisites
There are no prerequisites for this contemporary mathematics course. However, a basic understanding of mathematical operations and principles may be helpful.
Course Format
The UExcel Contemporary Mathematics course is composed of 9 chapters and 105 video lessons; each video is approximately 5-10 minutes long. Support materials include lesson transcripts and online self-assessment quizzes, which lets you know how well you understood the material. If you find yourself having difficulty with a particular concept or equation, you can always contact the instructor for help. The course culminates with a final exam that covers all of the contemporary mathematics topics in this unit.
Contemporary Mathematics Exam Information
The UExcel Contemporary Mathematics exam has been endorsed by the American Council on Education and serves as the equivalent of a 1-semester, lower-level course. While each college and university has its own policy, credits earned through the exam may be used to fulfill general education or liberal arts requirements for STEM (science, technology, engineering and math) or non-STEM majors.
Number of Questions: about 60 questions
Question Type: Multiple choice
Time Limit: 2 hours
Number of Credits: 3 credits
Exam Cost: $95
Contemporary Mathematics Exam Breakdown
UExcel Exam Concept
Percent of the UExcel Exam
Approximate Number of Questions
Our Chapters
Mathematical Reasoning
25%
15
18 lessons
Probability and Statistics
30%
18
51 lessons
Mathematics and Politics
20%
12
11 lessons
Graph Theory
25%
15
11 lessons
Earn UExcel Credit
Successful test takers who earn a satisfactory score on the UExcel Contemporary Mathematics exam receive 3 transferable college credits, as designated by the test developer. Depending on how many UExcel exams you take, you may be able to reduce how many semesters you spend in college and save some money on tuition.
Study Schedule for the UExcel Exam
You can complete the UExcel Contemporary Mathematics exam course in a little over 10 hours. As a flexible course of study, it provides you with the freedom you need to watch videos and take quizzes whenever and wherever you want. Before you start the course, use the table below to help you decide when to register for the exam. Exams are scheduled at your local test center; you can submit your registration by telephone or online | 677.169 | 1 |
97808092412 Skills That Work: A Functional Approach for Life and Work Book One
The six books in the Skills That Work series identify basic skills, critical thinking, and positive personal qualities students must have to contribute to the workforce. Two levels show students how the skills they learn in the classroom apply to workplace and life-skills competencies. Assessment programs offer additional practice through tests, answer sheets, personal profiles, and scoring guides. Math Skills That Work, Book One features working with whole numbers and money, sorting and filing numerically, writing checks, filling out receipts, purchase orders, and forms, and balancing checkbooks | 677.169 | 1 |
Overview
About The Product SINGLE V
Features
Four carefully crafted diagnostic tests in algebra, analytic geometry, functions, and trigonometry appear at the beginning of the text. These provide students with a convenient way to test their pre-existing knowledge and brush up on skill techniques they need to successfully begin the course. Answers are included, and students who need to improve will be referred to points in the text or on the book's website where they can seek help.
Stewart's writing style speaks clearly and directly to students, guiding them through key ideas, theorems, and problem-solving steps, and encouraging them to think as they read and learn calculus.
Every concept is supported by thoughtfully worked examples—many with step-by-step explanations—and carefully chosen exercises. The quality of this pedagogical system is what sets Stewart's texts above others.
Examples are not only models for problem solving or a means of demonstrating techniques; they also encourage students to develop an analytic view of the subject. To provide further insight into mathematical concepts, many of these detailed examples display solutions that are presented graphically, analytically, and/or numerically. Margin notes expand on and clarify the steps of the solution.
The text's clean, user-friendly design provides a clear presentation of calculus. The art program, with its functional and consistent use of color, helps students identify and review mathematical concepts more easily.
The topic of Differential Equations is unified by the theme of modeling. Qualitative, numerical, and analytic approaches are given equal consideration.
Stewart draws on physics, engineering, chemistry, biology, medicine, and social science to motivate students and demonstrate the power of calculus as a problem-solving tool in a wide variety of fields.
Stewart's presentation repeatedly provides answers to the question, When will I use this? You'll find many examples of how calculus is used as a problem-solving tool in fields such as physics, engineering, chemistry, biology, medicine, and the social sciences.
Stewart's text offers an extensive collection of more than 8,000 quality exercises. Each exercise set is carefully graded, progressing from skill-development problems to more challenging problems involving applications and proofs. The wide variety of types of exercises includes many technology-oriented, thought-provoking, real, and engaging problems.
Conceptual exercises encourage the development of communication skills by explicitly requesting descriptions, conjectures, and explanations. These exercises stimulate critical thinking and reinforce the concepts of calculus.
A wealth of engaging projects reinforce concepts. "Writing Projects" ask students to compare present-day methods with those of the founders of calculus. "Discovery Projects" anticipate results to be discussed later. "Applied Projects" feature content that engages student interest and demonstrates the real-world use of mathematics. "Laboratory Projects" anticipate results to be discussed later or encourage discovery through pattern recognition.
Comprehensive review sections follow each chapter and further support conceptual understanding. A "Concept Check" and "True/False Quiz" allow students to prepare for upcoming tests through ideas and skill-building.
"Strategies" sections (based on George Polya's problem-solving methodology) help students select what techniques they'll need to solve problems in situations where the choice is not obvious, and help them develop true problem-solving skills and intuition.
Additional exercises have been added to the existing end-of-chapter collections of more challenging exercises called "Problems Plus". These sections reinforce concepts by requiring students to apply techniques from more than one chapter of the text, and by patiently showing them how to approach a challenging problem.
Historical and biographical margin notes enliven the course and show students that mathematics was developed to help explain and represent natural phenomena.
About the Contributor
AUTHOR
James Stewart
New to this Edition
TOC change: For this edition, chapters 1 and 2 have been combined – and some material has been moved to an appendix—to streamline the presentation of these early topics.
Throughout the text, the author has revised the narrative as necessary to improve clarity and aid in student comprehension.
NEW examples, margin notes, applications, and projects have been added. In addition, new collections of more challenging exercises called "Problems Plus" have been added, reinforcing concepts by requiring students to apply techniques from more than one chapter of the text. "Problems Plus" sections patiently show students how to approach a challenging problem.
NEW! This edition has been updated with approximately 25% more exercises than the previous edition, giving students more opportunities to practice concepts they have learned.
NEW "PS" icons denoting problem-solving margin notes are aimed at increasing instructors' awareness of this important aspect of Stewart's approach.
UPDATED! Tools for Enriching Calculus—a free, online, interactive resource that allows Calculus students to work with animations that deepen their understanding of key concepts by helping them visualize the concepts they are learning—has been updated with new problems and a new Flash design that is more visually appealing and engaging to students.
NEW-AND-IMPROVED! Exclusively from Cengage Learning, Enhanced WebAssign® offers an extensive online program for Stewart's Calculus, 7e, to encourage the practice that's so critical for concept mastery. The meticulously crafted pedagogy and exercises in our proven texts become even more effective in Enhanced WebAssign, supplemented by multimedia tutorial support and immediate feedback as students complete their assignments. Enhanced WebAssign for Stewart now includes opportunities for students to review prerequisite skills and content both at the start of the course (in conjunction with four diagnostic tests) and at the beginning of each section. In addition, at the problem-level, student can get extra help in the form of "math mentor" feedback and video solutions.
NEW! Cengage YouBook is a Flash-based eBook that is interactive and customizable! Containing all the content from Stewart's Calculus, 7e, YouBook features a text edit tool that allows you to rewrite, delete, modify, or add to the textbook narrative as needed. With YouBook, you can quickly re-order entire chapters and sections or hide any content you don't teach to create an eBook that perfectly matches your syllabus. Additional media assets include interactive simulations, animations, and video clips that complement the traditional text presentation. The YouBook also lets you embed videos of your own or from YouTube directly into eBook pages.
NEW! Interested CourseMate goes beyond the book to deliver what you need!
NEW! Hybrid versions of the text provide a less-expensive, shorter option for students using EWA. End-of-section problems are omitted from the text and appear online only. | 677.169 | 1 |
MATH Documents
Showing 1 to 30 of 616
a
Review Exercises . ; . _. ' _
Wm
These are types of problems you could expect to see on the exam. This may not cover everything you might
encounter on the exam. Please do not rely on this review alone. 60 over your notesI warm-ups, and homework
as well.
Victor Omokehinde
Period 7
Pythagoras of Samos
Pythagoras was a Greek philosopher, mathematician, and founder of the
movement called Pythagoreanism. He is often referred as the first pure mathematician.
He was born on the island of Samos, Greece in 569 BC
Matlab Project #2
Date: 12-7-2016
Name: Faisa Mohamed
Problem#1
Draw a direction field for the system
First use dsolve to plug in dx and dy
Second I used meshgrid and write in the x-axis, y-axis and space between the straight lines
Third I made U=dx and V
PRACTICE FOR QUIZ #2 SECTIONS (2.1, 2.2)
1.
The average rate of change is the slope between two points. One example of
average rate of change is the speed or velocity of the object. Explain the
difference between the terms average velocity and average spe | 677.169 | 1 |
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Manhattan Learn to see the connections among these part-whole relationships as you hone the skills you need to manipulate digits, decimals, fractions, percents, and ratios so that you can implement strategic shortcuts on exam day.Each chapter provides comprehensive coverage of the subject matter through rules, strategies, and in-depth examples to help you build confidence and content mastery. In addition, the Guide contains a oeCheck Your Skillsa quizzes as you progress through the material, complete problem sets at the end of every chapter, and mixed drill sets at the end of the book to help you build accuracy and speed. All practice problems include detailed answer explanations written by top-scorers Purchase of this book includes one year of access to 6 Manhattan Prep online section-adaptive GRE exams. | 677.169 | 1 |
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Unformatted text preview: Math 1b Matrix Multiplication If A has rows a i and B has columns b j , then AB has, by definition, a i b j as the entry in row i and column j . The matrix AB is the matrix of dot products of rows of A with columns of B . Here are some simple properties and facts about matrix multiplication. These rules follow directly from the definition of matrix multiplication. Small examples can help understanding. 1. A (row) vector times a matrix is a linear combination of the rows of that matrix (and the coecients are the entries of the vector): ( c 1 c 2 ... c ` ) a 1 a 2 . . . a ` = c 1 a 1 + c 2 a 2 + ... + c ` a ` . 2. The rows of the matrix product AB are (rows of A ) times B . a 1 a 2 . . . a ` B = a 1 B a 2 B . . . a ` B ....
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This note was uploaded on 11/10/2011 for the course MA 1B taught by Professor Aschbacher during the Winter '08 term at Caltech. | 677.169 | 1 |
Responding to Mathematical Diversity at Conserve School
One of the advantages of a semester school is that students get to live, learn, and play with other young adults from across the country. Conserve School recruits juniors and advanced sophomores who have demonstrated academic success in public and private schools and through a variety of homeschooling approaches. While these students have all been successful learners, they have also each had widely varying types of academic preparation. This diversity of preparation is often a positive, as it broadens the base of knowledge that the class as a whole brings to discussions in English, history and environmental science. However, for those students choosing to continue their math studies at Conserve School, the diversity creates special challenges.
Conserve School offers math courses for students at the Advanced Algebra (sometimes referred to as Algebra 2) and Pre-Calculus levels. Each student's preparation for these classes varies, and the expectations of their sending schools also vary based on where their previous class ended and what that school expects the students to learn this year. As a result, when Conserve School math courses are taught in a traditional manner, the semester begins with some students reviewing things they have already learned while for others it is brand new material. It is generally not a question of one student being smarter than the other, but rather a result of their difference in preparation. It can be demotivating for some students to see the work appear to come so easily to other students who are really just reviewing material that they learned in the past. It can also be demotivating for those students who are eager to move ahead to have to wait. This fall's group of math students has presented the widest range of diversity we have so far experienced. How does a non-traditional school address such a challenge? We have addressed it with a non-traditional solution, although one that is growing in popularity across the country.
Conserve School is blending traditional direct instruction with an artificial intelligence-based system for individualized learning called ALEKS (Assessment and Learning in Knowledge Spaces). The ALEKS website ( describes the program as:
"… the new way to learn math on the World-Wide-Web. By knowing exactly which math concepts the student has mastered, which are shaky, and which are new but within reach, ALEKS enables the student to work on those concepts the student is most ready to learn. ALEKS is a full-time automated tutor, including explanations, practice and feedback."
ALEKS begins with a comprehensive assessment to determine what each student has already mastered and what each student is ready to learn next. Based on assessment results, students are presented with choices of what to learn next. This process continues until the entire curriculum is mastered.
After the Comprehensive Assessment a visual is created showing what the student has left to learn.
As students work through the course, they can select among a range of topics. The topic list is completely individualized – and shows only those topics for which the student has already mastered all the prerequisites. Students are more successful because they are ready to learn the topic. Success leads to increased confidence and self-esteem. ALEKS also fosters independent learning by providing multiple explanations and solutions.
The topic list is individualized showing only topics for which the student has mastered the prerequisites.
While many schools use ALEKS as a stand-alone instructional tool, at Conserve School we blend ALEKS with traditional instruction in the following ways. First, in addition to the built -in teaching and support from ALEKS, students are supported by experienced math teachers, both during class and some evening study hours. Second, the math teacher monitors student progress, and, as groups of students achieve teacher-developed benchmarks, provides them with direct instruction and enrichment exercises to test their knowledge and deepen their understandings in ways that online instruction can't. Enrichment exercises include group and independent projects. Conserve School also provides students with a math textbook that is linked to the ALEKS curriculum as an additional resource to aid in understanding the concepts being presented.
Students are assessed on what they have learned during the semester, with the expectation that all students will progress at least one semester in their mathematical understanding. That means that students who start farther along will be expected to go farther, while students who began with less preparation will not be expected to go as far. All students will have access to ALEKS for at least one month after the end of the semester, so students who wish to go further may do so.
We are excited about the opportunity this new instructional model provides us to meet the mathematical diversity at Conserve School. We believe that all of our math students will benefit from the increased individualized attention. | 677.169 | 1 |
Like New. "ISBN: 0-8176-4176-9, As new, no wear. Quite clean. 'The work strikes a balance between a theoretical and practical approach, consisting of carefully chosen topics to develop graph-theoretic reasoning for a mixed audience. Familiarity with the basic concepts of set theory, a passing acquaintance with matrices and algebra, combined with a little mathematical maturity, are all the background requirements. ' 230 pages. " | 677.169 | 1 |
covering Student Thinking About Mathematics in the Common Core, High School Author: Cheryl Rose Tobey
ISBN: 9781452276571 Format: Paperback Number Of Pages: 256 Published: 17 February 2014 Country of Publication: US Dimensions (cm): 28.0 x 21.6 x 1.3 Description: Helping students master secondary school mathematics just got a whole lot easier! Bestselling authors Cheryl Rose Tobey and Carolyn B. Arline provide 25 detailed and grade-level specific assessment probes that promote deep learning and expert maths instruction. Learn to ask the right questions to uncover where and how students commonly get confused. You'll learn how to: * Quickly diagnose students' common misconceptions and procedural mistakes * Help students pinpoint areas of struggle * Plan targeted instruction that builds on students' current understandings while addressing difficulties with algebra, functions, logarithms, geometry, trigonometric ratios, statistics and probability, and more * Elicit the skills and processes related to the Standards for Mathematical Practices You'll find sample student responses, extensive Teacher Notes, and research-based tips and resources, as well as the QUEST Cycle for effective, hands-on implementation, to help instil new mathematical ideas. This is a great teaching resource with easy-to-implement tools and ideas to build solid mathematics proficiency | 677.169 | 1 |
Departments
Alumni
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Mathematics
The K-12 math program integrates problem solving, reasoning, proof, and communication skills throughout the following Mathematic Standards:
• Number and Operations Standard o Understand a variety of numbers ways of representing numbers, relationships among numbers, and number systems. o Understand meanings of operations and how they relate to one another;. o Compute fluently and make reasonable estimates.
• Data Analysis and Probability o Formulate questions that can be addressed with data, and collect, organize, and display relevant data to answer them. o Select and use appropriate statistical methods to analyze data. o Develop and evaluate inferences and predictions that are based on data. o Understand and apply basic concepts of probability | 677.169 | 1 |
Au sujet du livre
Description :
Language: English Brand New Book. Basic Mathematical Skills with Geometry, 9/e, by Baratto, Bergman, and Hutchison is part of the latest offerings in the successful Hutchison Series in Mathematics. The book is designed for a one-semester course in basic math and is appropriate for lecture, learning center, laboratory, and self-paced settings. The ninth edition continues the series hallmark approach of encouraging mastery of mathematics through careful practice. The text provides detailed, straightforward explanations and accessible pedagogy to help students grow their math skills from the ground up. The authors use a three-pronged approach of communication, pattern recognition, and problem solving to present concepts understandably, stimulate critical-thinking skills, and stress reading and communication skills in order to help students become effective problem-solvers. Features such as Tips for Student Success, Check Yourself exercises, and Activities underscore this approach and the underlying philosophy of mastering math through practice. Exercise sets have been significantly expanded and are now better-organized, and applications are now more thoroughly integrated throughout the text. Connect Math Hosted by ALEKS is an online assignment and assessment platform that helps students connect to their coursework and prepares them to succeed. An integrated ALEKS Initial Assessment helps you understand what your students know and are ready to learn next. This system is built by educators for educators. Content is produced and vetted by our market leading authors to ensure a single voice with your textbook. Built in a highly intuitive platform, course creation is simplified, saving you time while vastly improving student performance. N° de réf. du libraire
Description du livre McGraw-Hill Education. État : Good. 1259681920681920Z3 | 677.169 | 1 |
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