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introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
for example , oxygen might move into the cell by diffusion , while at the same time , carbon dioxide might move out in obedience to its own concentration gradient . facilitated diffusion some molecules , such as carbon dioxide and oxygen , can diffuse across the plasma membrane directly , but others need help to cross ...
why does the core of the plasma membrane ( the hydrophobic tails ) make it hard for charged molecules to pass through ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
two major classes of facilitated transport proteins are channels and carrier proteins . channels channel proteins span the membrane and make hydrophilic tunnels across it , allowing their target molecules to pass through by diffusion . channels are very selective and will accept only one type of molecule ( or a few clo...
also , if a channel protein is hydrophilic , wo n't the molecules passing through just stick to it and not make it to the other side of the membrane ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
the carrier proteins involved in facilitated diffusion simply provide hydrophilic molecules with a way to move down an existing concentration gradient ( rather than acting as pumps ) . channel and carrier proteins transport material at different rates . in general , channel proteins transport molecules much more quickl...
what causes a transport protein to activate ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
the carrier proteins involved in facilitated diffusion simply provide hydrophilic molecules with a way to move down an existing concentration gradient ( rather than acting as pumps ) . channel and carrier proteins transport material at different rates . in general , channel proteins transport molecules much more quickl...
why do channel proteins transport molecule much more quickly than do carrier proteins ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
the opening and closing of these channels , and the resulting shifts in ion levels inside the cell , play an important role in electrical transmission along membranes ( in nerve cells ) and in muscle contraction ( in muscle cells ) . carrier proteins another class of transmembrane proteins involved in facilitated trans...
what would the effect of an electromagnetic field be on the carrier protein and ions ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
selective permeability the phospholipids of plasma membranes are amphipathic : they have both hydrophilic ( water-loving ) and hydrophobic ( water-fearing ) regions . the hydrophobic core of the plasma membrane helps some materials move through the membrane , while it blocks the movement of others . polar and charged m...
what kind of difficulty the polar molecules have when they pass the hydrophobic core of the plasma membrane ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
facilitated diffusion some molecules , such as carbon dioxide and oxygen , can diffuse across the plasma membrane directly , but others need help to cross its hydrophobic core . in facilitated diffusion , molecules diffuse across the plasma membrane with assistance from membrane proteins , such as channels and carriers...
can diffusion be applied in a case where the membrane is non-permeable ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
the opening and closing of these channels , and the resulting shifts in ion levels inside the cell , play an important role in electrical transmission along membranes ( in nerve cells ) and in muscle contraction ( in muscle cells ) . carrier proteins another class of transmembrane proteins involved in facilitated trans...
do carrier proteins change shape when doing passive transport ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
here , we ’ ll look in more detail at membrane permeability and different modes of passive transport . selective permeability the phospholipids of plasma membranes are amphipathic : they have both hydrophilic ( water-loving ) and hydrophobic ( water-fearing ) regions . the hydrophobic core of the plasma membrane helps ...
is n't nitric oxide a polar molecule like water ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
this process does not require any energy input ; in fact , a concentration gradient itself is a form of stored ( potential ) energy , and this energy is used up as the concentrations equalize . molecules can move through the cell ’ s cytosol by diffusion , and some molecules also diffuse across the plasma membrane ( as...
what are the types of molecules that enter and leave the cell in response to osmosis called ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
some channel proteins are open all the time , but others are “ gated , ” meaning that the channel can open or close in response to a particular signal ( like an electrical signal or the binding of a molecule ) . cells involved in the transmission of electrical signals , such as nerve and muscle cells , have gated ion c...
how does the sodium-potassium pump contribute to the net negative charge of the interior of the cell ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
molecules can move through the cell ’ s cytosol by diffusion , and some molecules also diffuse across the plasma membrane ( as shown in the picture above ) . each individual substance in a solution or space has its own concentration gradient , independent of the concentration gradients of other materials , and will dif...
during diffusion , is it at all possible for particles such as ions to move against the concentration gradient ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
facilitated diffusion some molecules , such as carbon dioxide and oxygen , can diffuse across the plasma membrane directly , but others need help to cross its hydrophobic core . in facilitated diffusion , molecules diffuse across the plasma membrane with assistance from membrane proteins , such as channels and carriers...
how do large proteins go through the cell membrane ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
other factors being equal , a stronger concentration gradient ( larger concentration difference between regions ) results in faster diffusion . thus , in a single cell , there can be different rates and directions of diffusion for different molecules . for example , oxygen might move into the cell by diffusion , while ...
is net diffusion talking about two different types of molecules or the same type ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
two major classes of facilitated transport proteins are channels and carrier proteins . channels channel proteins span the membrane and make hydrophilic tunnels across it , allowing their target molecules to pass through by diffusion . channels are very selective and will accept only one type of molecule ( or a few clo...
can water molecules pass through a cell membrane without the aid of aquaphorins/channel proteins ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
selective permeability is essential to cells ’ ability to obtain nutrients , eliminate wastes , and maintain a stable interior environment different than that of the surroundings ( maintain homeostasis ) . the simplest forms of transport across a membrane are passive . passive transport does not require the cell to exp...
so are aquaporins considered facilitated transport or passive transport ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
carrier proteins can change their shape to move a target molecule from one side of the membrane to the other . like channel proteins , carrier proteins are typically selective for one or a few substances . often , they will change shape in response to binding of their target molecule , with the shape change moving the ...
if channel proteins are simple tunnels , how are they selective ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
the carrier proteins involved in facilitated diffusion simply provide hydrophilic molecules with a way to move down an existing concentration gradient ( rather than acting as pumps ) . channel and carrier proteins transport material at different rates . in general , channel proteins transport molecules much more quickl...
for example , if a channel protein was meant for a large molecule , what prevents smaller , undesirable molecules from flowing through it ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
for example , oxygen might move into the cell by diffusion , while at the same time , carbon dioxide might move out in obedience to its own concentration gradient . facilitated diffusion some molecules , such as carbon dioxide and oxygen , can diffuse across the plasma membrane directly , but others need help to cross ...
why can oxygen and water diffuse across the cell membrane , but ions like sodium can not ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
selective permeability is essential to cells ’ ability to obtain nutrients , eliminate wastes , and maintain a stable interior environment different than that of the surroundings ( maintain homeostasis ) . the simplest forms of transport across a membrane are passive . passive transport does not require the cell to exp...
is n't diffusion the same thing as passive transport ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
here , we ’ ll look in more detail at membrane permeability and different modes of passive transport . selective permeability the phospholipids of plasma membranes are amphipathic : they have both hydrophilic ( water-loving ) and hydrophobic ( water-fearing ) regions . the hydrophobic core of the plasma membrane helps ...
movement of water into and out of cell is known ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
selective permeability is essential to cells ’ ability to obtain nutrients , eliminate wastes , and maintain a stable interior environment different than that of the surroundings ( maintain homeostasis ) . the simplest forms of transport across a membrane are passive . passive transport does not require the cell to exp...
is facilitated diffusion an example of passive transport ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
the carrier proteins involved in facilitated diffusion simply provide hydrophilic molecules with a way to move down an existing concentration gradient ( rather than acting as pumps ) . channel and carrier proteins transport material at different rates . in general , channel proteins transport molecules much more quickl...
what is meant by net transport ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
thus , in a single cell , there can be different rates and directions of diffusion for different molecules . for example , oxygen might move into the cell by diffusion , while at the same time , carbon dioxide might move out in obedience to its own concentration gradient . facilitated diffusion some molecules , such as...
what is faster , a simple diffusion ( of oxygen , for example ) , or a facilitated one ( of water through aquaporines ) ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
flight attendants , captains , and airport personnel travel through quickly via a special channel , while regular passengers pass through more slowly , sometimes with a long wait in line . in many ways , airport security is a lot like the plasma membrane of a cell . cell membranes are selectively permeable , regulating...
what movement does a brain cell use then ?
introduction have you been through airport security lately ? if you have , you ’ ve probably noticed that it ’ s carefully designed to let some things in ( such as passengers with tickets ) and to keep others out ( such as weapons , explosives , and bottled water ) . flight attendants , captains , and airport personnel...
thus , over time , the net movement of molecules will be out of the more concentrated area and into the less concentrated one , until the concentrations become equal ( at which point , it ’ s equally likely for a molecule to move in either direction ) . this process does not require any energy input ; in fact , a conce...
does changing the shape of the protein requires energy ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
what do you think ? why was the united nations founded ? what does the un charter tell us about its main goals ?
all carved out territories and nations for themselves around the globe , and then say that no young nations could have their own annexations or sphere of influence ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
what do you think ? why was the united nations founded ? what does the un charter tell us about its main goals ?
how many countries are in the united nations right now ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
what do you think ? why was the united nations founded ? what does the un charter tell us about its main goals ?
who designed the united nations emblem ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
the security council is composed of five permanent members—the united states , great britain , france , russia , and china— which were the five main allied powers in the second world war . there are also ten non-permanent seats on the security council that rotate between different countries every two years . the purpos...
why did the soviet union and the usa have permanent seats and not the other countries ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
what do you think ? why was the united nations founded ? what does the un charter tell us about its main goals ?
how important is the udhr to the united nations ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
the purpose of the security council is to peacefully resolve international conflicts and prevent the outbreak of war . un security council resolutions are binding and are enforced by un peacekeepers , which are military forces contributed by member-states . the economic and social council ( ecosoc ) was created to prom...
what did the un do to waffen ss soldiers after wwii ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
the purpose of the security council is to peacefully resolve international conflicts and prevent the outbreak of war . un security council resolutions are binding and are enforced by un peacekeepers , which are military forces contributed by member-states . the economic and social council ( ecosoc ) was created to prom...
why does the un use arabic , chinese , english , french , spanish , and russian as official languages ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
the purpose of the security council is to peacefully resolve international conflicts and prevent the outbreak of war . un security council resolutions are binding and are enforced by un peacekeepers , which are military forces contributed by member-states . the economic and social council ( ecosoc ) was created to prom...
how does the un get funded ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
the security council is composed of five permanent members—the united states , great britain , france , russia , and china— which were the five main allied powers in the second world war . there are also ten non-permanent seats on the security council that rotate between different countries every two years . the purpos...
what are the rotating nations in the security council ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
the security council is composed of five permanent members—the united states , great britain , france , russia , and china— which were the five main allied powers in the second world war . there are also ten non-permanent seats on the security council that rotate between different countries every two years . the purpos...
why did the soviet union and the usa have permanent seats and not the other countries ?
overview the united nations ( un ) was created at the end of world war ii as an international peacekeeping organization and a forum for resolving conflicts between nations . the un replaced the ineffective league of nations , which had failed to prevent the outbreak of the second world war . the un was established on o...
what do you think ? why was the united nations founded ? what does the un charter tell us about its main goals ?
how many countries were in the league of nations at the time ?
what you should be familiar with before this lesson a monomial is an expression that is the product of constants and nonnegative integer powers of $ x $ , like $ 3x^2 $ . a polynomial is a sum of monomials , like $ 3x^2+6x-1 $ . if $ a=b\cdot c $ , then $ b $ and $ c $ are factors of $ a $ , and $ a $ is divisible by $...
reflection question completely factoring monomials review : integer factorization to factor an integer completely , we write it as a product of primes . for example , we know that $ 30=2\cdot 3\cdot 5 $ . and now to monomials ... to factor a monomial completely , we write the coefficient as a product of primes and expa...
how do we know when to add the exponents and when to subtract the exponents ?
what you should be familiar with before this lesson a monomial is an expression that is the product of constants and nonnegative integer powers of $ x $ , like $ 3x^2 $ . a polynomial is a sum of monomials , like $ 3x^2+6x-1 $ . if $ a=b\cdot c $ , then $ b $ and $ c $ are factors of $ a $ , and $ a $ is divisible by $...
$ 12=2\cdot 6 $ $ 12=3\cdot 4 $ $ 12=12\cdot 1 $ $ 12=2\cdot 2\cdot 3 $ however , there is only one prime factorization of the number $ 12 $ , i.e . $ 2\cdot 2\cdot 3 $ . the same idea holds with monomials .
why is n't number 7 , 11 * 2 * xy * xy ?
what you should be familiar with before this lesson a monomial is an expression that is the product of constants and nonnegative integer powers of $ x $ , like $ 3x^2 $ . a polynomial is a sum of monomials , like $ 3x^2+6x-1 $ . if $ a=b\cdot c $ , then $ b $ and $ c $ are factors of $ a $ , and $ a $ is divisible by $...
you will use what you already know about factoring integers to help you in this quest . introduction : what is monomial factorization ? to factor a monomial means to express it as a product of two or more monomials .
why is prime factorization the only complete one ?
what you should be familiar with before this lesson a monomial is an expression that is the product of constants and nonnegative integer powers of $ x $ , like $ 3x^2 $ . a polynomial is a sum of monomials , like $ 3x^2+6x-1 $ . if $ a=b\cdot c $ , then $ b $ and $ c $ are factors of $ a $ , and $ a $ is divisible by $...
$ 12=2\cdot 6 $ $ 12=3\cdot 4 $ $ 12=12\cdot 1 $ $ 12=2\cdot 2\cdot 3 $ however , there is only one prime factorization of the number $ 12 $ , i.e . $ 2\cdot 2\cdot 3 $ . the same idea holds with monomials .
what is 2 x 2 ?
siqueiros and mexican history at the national autonomous university of mexico ( unam ) in mexico city visitors enter the rectory ( the main administration building ) , beneath an imposing three-dimensional arm emerging from a mural . several hands , one with a pencil , charge towards a book , which lists critical dates...
the title of orozco ’ s painting dates to 1942 , when an art historian speculated that the fire at the top of the composition symbolized catharsis , and thus “ the only possibility of saving and purifying civilization ” as it succumbed to the excesses of moral depravity . the laughing central figure jerks the viewer in...
why is the word `` autonomous '' so often in south and central american establishments ?
siqueiros and mexican history at the national autonomous university of mexico ( unam ) in mexico city visitors enter the rectory ( the main administration building ) , beneath an imposing three-dimensional arm emerging from a mural . several hands , one with a pencil , charge towards a book , which lists critical dates...
siqueiros and mexican history at the national autonomous university of mexico ( unam ) in mexico city visitors enter the rectory ( the main administration building ) , beneath an imposing three-dimensional arm emerging from a mural . several hands , one with a pencil , charge towards a book , which lists critical dates...
such as here ... '' national autonomous university of mexico ( unam ) in mexico city '' ?
siqueiros and mexican history at the national autonomous university of mexico ( unam ) in mexico city visitors enter the rectory ( the main administration building ) , beneath an imposing three-dimensional arm emerging from a mural . several hands , one with a pencil , charge towards a book , which lists critical dates...
this demand for agrarian reform signaled a new age in mexican society : issues concerning the popular masses—universal public education and health care , expanded civil liberties—were at the forefront of government policy . mexican muralism at the end of the revolution the government commissioned artists to create art ...
in what ways did the masses of mexico actually benefit from the muralism movement ?
siqueiros and mexican history at the national autonomous university of mexico ( unam ) in mexico city visitors enter the rectory ( the main administration building ) , beneath an imposing three-dimensional arm emerging from a mural . several hands , one with a pencil , charge towards a book , which lists critical dates...
these anonymous men are unlikely heroes given their modest attire , yet they represent a new age where the revolution has liberated the masses from centuries of repression . murals for the palace of fine arts in 1934 the government inaugurated the palace of fine arts mexico city , which soon became the nation ’ s most ...
did the murals cause any changes in government policies , acquire more rights for the peasants , etc ?
siqueiros and mexican history at the national autonomous university of mexico ( unam ) in mexico city visitors enter the rectory ( the main administration building ) , beneath an imposing three-dimensional arm emerging from a mural . several hands , one with a pencil , charge towards a book , which lists critical dates...
in torment and apotheosis of cuauhtémoc , 1950-51 , another mural at the museum of the palace of fine arts , siqueiros explores the violent period of the conquest . in this mural spanish soldiers torture the mexican tribal leader for information on the location of the treasure they seek . the mexican motherland , symbo...
who was the third mural painter ?
overview the freedmen ’ s bureau was established in march of 1865 to help freed people achieve economic stability and secure political freedoms . many white southerners , as well as president andrew johnson , challenged the bureau ’ s legitimacy , sparking racial violence in the south and the ultimate failure of the bu...
radical republicans believed in the constructive power of the federal government to ensure a better day for freed people . others , including johnson , denied that the government had any such role to play . due to pressure from white southerners , congress dismantled the freedmen ’ s bureau in 1872 .
when did the republican party shifted positions on the role of government ?
overview the freedmen ’ s bureau was established in march of 1865 to help freed people achieve economic stability and secure political freedoms . many white southerners , as well as president andrew johnson , challenged the bureau ’ s legitimacy , sparking racial violence in the south and the ultimate failure of the bu...
what do you think ? did the freedmen ’ s bureau succeed or fail ? why ?
if the freedmen 's bureau sought to provide help and equality to freedmen , why is their advertisement depicting a black man with an ape-like face ?
overview the freedmen ’ s bureau was established in march of 1865 to help freed people achieve economic stability and secure political freedoms . many white southerners , as well as president andrew johnson , challenged the bureau ’ s legitimacy , sparking racial violence in the south and the ultimate failure of the bu...
what do you think ? did the freedmen ’ s bureau succeed or fail ? why ?
how does kkk reacted to the creation of freedmen 's bureau ?
overview the freedmen ’ s bureau was established in march of 1865 to help freed people achieve economic stability and secure political freedoms . many white southerners , as well as president andrew johnson , challenged the bureau ’ s legitimacy , sparking racial violence in the south and the ultimate failure of the bu...
what do you think ? did the freedmen ’ s bureau succeed or fail ? why ?
were there specific significant events that led to the removal of freedmen 's bureau ?
overview the freedmen ’ s bureau was established in march of 1865 to help freed people achieve economic stability and secure political freedoms . many white southerners , as well as president andrew johnson , challenged the bureau ’ s legitimacy , sparking racial violence in the south and the ultimate failure of the bu...
johnson pardoned many former confederates and restored their land , as well as removed bureau employees he thought were too sympathetic to african americans . radical republicans continued to support the bureau , igniting a contest between congress and the president that intensified during the next several years . this...
at this time in history , did the congress have a higher percentage of republicans ?
overview the freedmen ’ s bureau was established in march of 1865 to help freed people achieve economic stability and secure political freedoms . many white southerners , as well as president andrew johnson , challenged the bureau ’ s legitimacy , sparking racial violence in the south and the ultimate failure of the bu...
why ? how did the freedmen ’ s bureau expand the reach of the federal government ? how did the freedmen 's bureau compare to later federal programs for education and public welfare , like the new deal or the civil rights act ?
first , freedman 's act expanded the reach of federal government into the everyday life of the people , where before it was up to the states ?
overview the freedmen ’ s bureau was established in march of 1865 to help freed people achieve economic stability and secure political freedoms . many white southerners , as well as president andrew johnson , challenged the bureau ’ s legitimacy , sparking racial violence in the south and the ultimate failure of the bu...
they immediately began to take steps to improve their own condition by seeking what had long been denied to them : land , financial security , education , and the ability to participate in the political process . however , they faced the wrath of defeated white southerners who were determined to keep blacks an impoveri...
is it possible seeing blacks getting help and southerners still under the thumb of the northern politicians cause hatred to grow ?
overview the freedmen ’ s bureau was established in march of 1865 to help freed people achieve economic stability and secure political freedoms . many white southerners , as well as president andrew johnson , challenged the bureau ’ s legitimacy , sparking racial violence in the south and the ultimate failure of the bu...
the freedmen ’ s bureau was intended to act as a primitive welfare agency , aiming to ease the transition from slavery to freedom . while some bureau agents were corrupt or incompetent , others worked hard to secure significant freedoms for blacks . under control of union war hero oliver o. howard , the bureau delivere...
and why did corrupt politicians and their friends not punished for their cheating the program ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
the excavations inspired the nineveh court at the 1851 world 's fair in london and a style of decorative art and architecture called assyrian revival . ancient near eastern art remains popular today ; in 2007 a 2.25 inch high , early 3rd millennium limestone sculpture , the guennol lioness , was sold for 57.2 million d...
is it just me , or does anyone else find it really upsetting that something like the guennol lioness has disappeared into a private collection and will most likely never be seen by any of us ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
the excavations inspired the nineveh court at the 1851 world 's fair in london and a style of decorative art and architecture called assyrian revival . ancient near eastern art remains popular today ; in 2007 a 2.25 inch high , early 3rd millennium limestone sculpture , the guennol lioness , was sold for 57.2 million d...
what kind of creatures are those in the second image - body of a lion , head of a bearded man and wings ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
the history of mesopotamia , however , is inextricably tied to the greater region , which is comprised of the modern nations of egypt , iran , syria , jordan , israel , lebanon , the gulf states and turkey . we often refer to this region as the near or middle east . what 's in a name ?
which was the great empires of the near east from 1200-500bc ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
we often refer to this region as the near or middle east . what 's in a name ? why is this region named this way ?
in the lower left of the second paragraph , what is the name of that lion like sculpture at the nineveh court ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
where is the euphrates river ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
what is the oldest organized civilization that we know of ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
are there civilizations that vastly predate the egyptians or generally predate them ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
who made sumerian words and why are sumerian letters so unique ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
the excavations inspired the nineveh court at the 1851 world 's fair in london and a style of decorative art and architecture called assyrian revival . ancient near eastern art remains popular today ; in 2007 a 2.25 inch high , early 3rd millennium limestone sculpture , the guennol lioness , was sold for 57.2 million d...
so how does a 2.25 inch limestone sculpture get sold for 50.1 million ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
why was mesopotamia the first civilization if it had poor protection options ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
the early development of this authority , over large numbers of people in an urban center , is really what distinguishes mesopotamia and gives it a special position in the history of western culture . here , for the first time , thanks to ample food and a strong administrative class , the west develops a very high leve...
in the first paragraph , why is there no mention of palestine ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
ancient near eastern art has long been part of the history of western art , but history did n't have to be written this way . it is largely because of the west 's interests in the biblical `` holy land '' that ancient near eastern materials have been be regarded as part of the western canon of the history of art . an i...
after all , the biblical `` holy land '' exists in palestine , and what was canaan , does it not ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
here , for the first time , thanks to ample food and a strong administrative class , the west develops a very high level of craft specialization and artistic production . essay by dr. senta german additional resources : mesopotamia on the metropolitan museum of art 's timeline of art history the guennol lioness ( video...
did the mosepotamians have to trade for the materials to make art ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
here , for the first time , thanks to ample food and a strong administrative class , the west develops a very high level of craft specialization and artistic production . essay by dr. senta german additional resources : mesopotamia on the metropolitan museum of art 's timeline of art history the guennol lioness ( video...
( like the limestone ) what other types of materials did they use for art ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
how did the mesopotamians create a government entirely from scratch ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
here , for the first time , thanks to ample food and a strong administrative class , the west develops a very high level of craft specialization and artistic production . essay by dr. senta german additional resources : mesopotamia on the metropolitan museum of art 's timeline of art history the guennol lioness ( video...
does the louvre museum have an important collection of this fabulous art ?
​ the cradle of civilization mesopotamia , the area between the tigris and euphrates rivers ( in modern day iraq ) , is often referred to as the cradle of civilization because it is the first place where complex urban centers grew . the history of mesopotamia , however , is inextricably tied to the greater region , whi...
the early development of this authority , over large numbers of people in an urban center , is really what distinguishes mesopotamia and gives it a special position in the history of western culture . here , for the first time , thanks to ample food and a strong administrative class , the west develops a very high leve...
summer was known as caldea in that time ?
for every period of jewish history , interactions with non-jews have been essential to forming jewish culture and identity . the early israelites made animal sacrifices at the holy temple , and they were distinct from other levantine peoples , each of whom worshipped their local gods . the diaspora although there is no...
the middle ages in the diaspora , jewish groups lived in both muslim- and christian-dominated areas . local communities had distinct traditions , but the differences between those who came from muslim areas and those who came from christian areas was more pronounced . jews who can trace their ancestry back to central a...
who came up with all of these different religions centuries ago ?
for every period of jewish history , interactions with non-jews have been essential to forming jewish culture and identity . the early israelites made animal sacrifices at the holy temple , and they were distinct from other levantine peoples , each of whom worshipped their local gods . the diaspora although there is no...
throughout the fourteenth and fifteenth centuries , jews in spain were subject to violent forms of anti-judaism . the spanish inquisition forced conversions and expulsions of the many jewish residents of the iberian peninsula . life for jews in islamic lands was comparatively tranquil .
and why does people in general belive in so many gods ?
for every period of jewish history , interactions with non-jews have been essential to forming jewish culture and identity . the early israelites made animal sacrifices at the holy temple , and they were distinct from other levantine peoples , each of whom worshipped their local gods . the diaspora although there is no...
synagogues in muslim lands have domes and arches that mimic islamic architecture , such as the santa maria la blanca in toledo , spain , or the algiers grande synagogue in algeria . in europe , persecution of jews began after the roman emperor constantine converted to christianity . in the eleventh and twelfth centurie...
how were the romans treated under roman rule ?
for every period of jewish history , interactions with non-jews have been essential to forming jewish culture and identity . the early israelites made animal sacrifices at the holy temple , and they were distinct from other levantine peoples , each of whom worshipped their local gods . the diaspora although there is no...
the early israelites made animal sacrifices at the holy temple , and they were distinct from other levantine peoples , each of whom worshipped their local gods . the diaspora although there is no archaeological evidence for it , the hebrew bible describes a temple in jerusalem erected by king solomon , probably sometim...
why is it saying that there is no archaeological evidence there being no temple built by king solomon when there is ?
the floating world during japan ’ s edo period ( 1615–1868 ) the phrase `` the floating world '' ( ukiyo ) evoked an imagined universe of wit , stylishness , and extravagance—with overtones of naughtiness , hedonism , and transgression . implicit was a contrast to the humdrum of everyday obligation . the concept of the...
such paintings , which employed costly jewel-like pigments and intensive labor , could be bought ready-made or , more commonly , commissioned by a patron . the yoshiwara pleasure quarter the sole licensed red-light district in the city of edo ( present-day tokyo ) , the yoshiwara was a walled and moated compound of abo...
does it refer to the walled and moated compound of yoshiwara , which would make the walled outer structure appear to float on water ?
the floating world during japan ’ s edo period ( 1615–1868 ) the phrase `` the floating world '' ( ukiyo ) evoked an imagined universe of wit , stylishness , and extravagance—with overtones of naughtiness , hedonism , and transgression . implicit was a contrast to the humdrum of everyday obligation . the concept of the...
during the quarter ’ s heyday , from the late seventeenth through the mid-nineteenth centuries , countless men made the journey—a trip of some two miles—to reach the quarter ’ s fabled main gate ( omon ) . within the yoshiwara ’ s walls were teahouses , shops , and more than a hundred brothels arranged in a rectangular...
why did edo end up becoming tokyo ?
the floating world during japan ’ s edo period ( 1615–1868 ) the phrase `` the floating world '' ( ukiyo ) evoked an imagined universe of wit , stylishness , and extravagance—with overtones of naughtiness , hedonism , and transgression . implicit was a contrast to the humdrum of everyday obligation . the concept of the...
the floating world during japan ’ s edo period ( 1615–1868 ) the phrase `` the floating world '' ( ukiyo ) evoked an imagined universe of wit , stylishness , and extravagance—with overtones of naughtiness , hedonism , and transgression . implicit was a contrast to the humdrum of everyday obligation .
where did the idea come from ?
a new skyline given the colossal buildings that now cover downtown manhattan , it can be hard to understand just how distinctive cass gilbert ’ s woolworth building appeared in relation to the skyline when it was new , one hundred years ago . skyscrapers emerged in chicago the 1880s as a way to concentrate commercial o...
just as with woolworth , skyscrapers continue to serve as important symbols for the corporations that commissioned them . essay by dr. margaret herman additional resources : new york city landmarks preservation commission designation report ( pdf ) essay from the skyscraper museum cass gilbert biography , national muse...
does the interior of the building still look like the postcard shown at the end of this essay ?
a new skyline given the colossal buildings that now cover downtown manhattan , it can be hard to understand just how distinctive cass gilbert ’ s woolworth building appeared in relation to the skyline when it was new , one hundred years ago . skyscrapers emerged in chicago the 1880s as a way to concentrate commercial o...
perhaps viewing himself as an heir to the great merchant princes of medieval italy , woolworth sought bold architecture and economic advantage , including rental income from tenants . woolworth hired the architect cass gilbert , then known primarily for his beaux-arts style civic buildings and art museums , to turn thi...
does anyone know if gilbert was influenced by gaudi ?
a new skyline given the colossal buildings that now cover downtown manhattan , it can be hard to understand just how distinctive cass gilbert ’ s woolworth building appeared in relation to the skyline when it was new , one hundred years ago . skyscrapers emerged in chicago the 1880s as a way to concentrate commercial o...
inside the building ’ s barrel-vaulted lobby , walls covered with lavish mosaics and stained glass allude to even earlier examples of christian art and architecture . yet , as contemporary critics noted , the woolworth was a tribute not to religion , but to capitalism . the form of the new york skyscraper would soon sh...
there are many laws in nyc now that would prohibit the demolition of buildings such as this one based on claims of `` artistic and aesthetic heritage '' for the city , but is it not ironic that many other buildings in the woolworth 's `` footprint '' would have needed to be demolished in order for the woolworth itself ...
a new skyline given the colossal buildings that now cover downtown manhattan , it can be hard to understand just how distinctive cass gilbert ’ s woolworth building appeared in relation to the skyline when it was new , one hundred years ago . skyscrapers emerged in chicago the 1880s as a way to concentrate commercial o...
inside the building ’ s barrel-vaulted lobby , walls covered with lavish mosaics and stained glass allude to even earlier examples of christian art and architecture . yet , as contemporary critics noted , the woolworth was a tribute not to religion , but to capitalism . the form of the new york skyscraper would soon sh...
`` , but is it now a `` tribute '' to protectionist laws and `` crony-capitalism '' ?
a new skyline given the colossal buildings that now cover downtown manhattan , it can be hard to understand just how distinctive cass gilbert ’ s woolworth building appeared in relation to the skyline when it was new , one hundred years ago . skyscrapers emerged in chicago the 1880s as a way to concentrate commercial o...
the form of the new york skyscraper would soon shift again with a 1916 zoning law . this regulation used a building 's `` footprint '' to ensure that sunlight and breezes would reach the city ’ s narrow streets far below . the `` 1916 setback law '' led to the “ wedding cake ” massing and streamlined style of the chrys...
is the woolworth building related to the store woolworths somehow ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ .
what are all of the factors in the world ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
multiples multiples are numbers that result when we multiply one whole number by another whole number . the first four multiples of $ \blue { 3 } $ are $ 3 , 6 , 9 $ , and $ 12 $ because : $ \blue { 3 } \times 1 = 3 $ $ \blue { 3 } \times 2 = 6 $ $ \blue { 3 } \times 3 = 9 $ $ \blue { 3 } \times 4 = 12 $ some other mul...
what dose it mean by : 3 rows of _ cookies in each row ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
picturing multiples the following pictures show multiples of $ 4 $ . $ 4 \times 1 = 4 $ $ 4 \times 2 = 8 $ $ 4 \times 3 = 12 $ the next box will include the next multiple of $ 4 $ . how do factors and multiples relate ?
on the last question do you just have to do 36 divided by 3 and ten 36 divided by 4 ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
since $ 5 $ already appears on the list , we now have found all of the factors pairs for $ 20 $ . multiples multiples are numbers that result when we multiply one whole number by another whole number . the first four multiples of $ \blue { 3 } $ are $ 3 , 6 , 9 $ , and $ 12 $ because : $ \blue { 3 } \times 1 = 3 $ $ \b...
do negative numbers also have multiples ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
arranging dots in equal sized groups helps us to see that factors always come in pairs . one factor in the factor pair is the number of rows . the other factor in the factor pair is the number of dots in each row .
what is one thousand x one thousand ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
we 'll start with $ \blued { 1 } $ because we know that $ \blued { 1 } $ is a factor for every number . we multiply $ \blued { 1 } \times \blued { 20 } $ , to get $ 20 $ , so $ \blued { 20 } $ is also a factor . we can list these factors as the outside ends of a list , leaving room in the middle for additional factors ...
if 20 is a multiple of ten then is 200 ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces .
what is the meaning of life ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
a rectangle has an area of $ 50 $ square in . mr. trimble is putting out $ 36 $ chocolate chip cookies for the students in his art club .
if mr. jha is giving 27 candies to children everyday then how many candies will he give in 3months* ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
numbers like $ 3 $ and $ 5 $ are not factors of $ 16 $ because they can not be divided evenly into $ 16 $ . factor hints every number has $ 1 $ as a factor . $ 1 $ is a factor of $ 10 $ .
what is the difference between a factor and a multiple ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
how do factors and multiples relate ? $ \goldd { 4 } $ and $ \greend { 7 } $ are both factors of $ \blued { 28 } $ because they both divide evenly into $ \blued { 28 } $ . $ \blued { 28 } $ is a multiple of $ \goldd { 4 } , $ and it is also a multiple of $ \greend { 7 } $ .
what is 17 x 28= ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ .
why are factors around the world ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
$ \blued { 28 } $ is a multiple of $ \goldd { 4 } , $ and it is also a multiple of $ \greend { 7 } $ . practice with factors and multiples we know that $ 9 \times 6 = 54 $ factors and multiples challenge factors and multiples are used when solving problems about the side lengths and areas of rectangles . a rectangle ha...
why do we need to know factors and multiples ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
$ \goldd { 4 } $ and $ \greend { 7 } $ are both factors of $ \blued { 28 } $ because they both divide evenly into $ \blued { 28 } $ . $ \blued { 28 } $ is a multiple of $ \goldd { 4 } , $ and it is also a multiple of $ \greend { 7 } $ . practice with factors and multiples we know that $ 9 \times 6 = 54 $ factors and mu...
is a multiple the same thing as multiplication ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces .
how can you tell if you are doing factors or multiples of 2 numbers ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
practice problems the first multiple of any number is the number itself . $ 7 \times 1 = 7 $ . the list shows multiples of $ 4 $ .
what is the divisibility rule for 7 ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
practice with factors and multiples we know that $ 9 \times 6 = 54 $ factors and multiples challenge factors and multiples are used when solving problems about the side lengths and areas of rectangles . a rectangle has an area of $ 50 $ square in . mr. trimble is putting out $ 36 $ chocolate chip cookies for the studen...
how long dose it take to get 50,000 energy points ?
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
factors factors are whole numbers that can evenly divide another number . picturing factors factors give us a way to break down a number into smaller pieces . we can arrange dots into equal sized groups to help us picture the factors of $ 12 $ . $ 12 $ dots can be arranged in $ \tealc { 1 } $ row with $ \tealc { 12 } $...
what type of computer do you use and what free software is available for us to use a chalkboard like you use ?