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What is division?

division |diˈvi zh ən|
noun
1 the action of separating something into parts, or the
process of being separated.
Most people relate
     division to
   multiplication

This makes sense to grown ups.

But does it make sense to kids?
Why do people think that
 multiplying and dividing go
          together?




DOES THIS PICTURE SHOW 9 DIVIDED BY 3 OR 3 TIMES 9?
Beginning methods for
multiplication and division look
       exactly the same.
The truth is
         that division undoes
           multiplication.
         that division undoes
           multiplication.

3x4 looks like this:            ***
You know how many groups
and how many IN each group
it means you put 3 of
                                ***
something together
4 times, you want to know
                                ***
how many you will have
all together.                   ***
To do this backwards you start
with 12 of something.


                   ***
                   ***
                   ***
                   ***
     and separate then into equal groups
This shows 12 separated into 4
equal groups of 3.


 *** ***            *** ***
                  12÷4=?
you know that The total number is 12, and that you
separate that into 4 groups. You want to know how
                many in each group.
Easy with pictures right?
 Not so easy with bigger numbers!
 Not so easy with bigger numbers!



To successfully divide with bigger numbers,
you have to be able to take them apart. This is
where knowing that most numbers can be
factored by 2,3,5,7 and 10 really helps!
I bet you wanted to know about this one:

                      3 12
http://www.youtube.com/watch?v=hp6Mwm5Ouxclook

               Now try this one:


     Long Division using Chunking - YouTube
Everything we have been doing with factoring
and multiples builds the number knowledge
you need to divide more easily.

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Whatisdivision

  • 1. What is division? division |diˈvi zh ən| noun 1 the action of separating something into parts, or the process of being separated.
  • 2. Most people relate division to multiplication This makes sense to grown ups. But does it make sense to kids?
  • 3. Why do people think that multiplying and dividing go together? DOES THIS PICTURE SHOW 9 DIVIDED BY 3 OR 3 TIMES 9?
  • 4. Beginning methods for multiplication and division look exactly the same.
  • 5. The truth is that division undoes multiplication. that division undoes multiplication. 3x4 looks like this: *** You know how many groups and how many IN each group it means you put 3 of *** something together 4 times, you want to know *** how many you will have all together. ***
  • 6. To do this backwards you start with 12 of something. *** *** *** *** and separate then into equal groups
  • 7. This shows 12 separated into 4 equal groups of 3. *** *** *** *** 12÷4=? you know that The total number is 12, and that you separate that into 4 groups. You want to know how many in each group.
  • 8. Easy with pictures right? Not so easy with bigger numbers! Not so easy with bigger numbers! To successfully divide with bigger numbers, you have to be able to take them apart. This is where knowing that most numbers can be factored by 2,3,5,7 and 10 really helps!
  • 9. I bet you wanted to know about this one: 3 12 http://www.youtube.com/watch?v=hp6Mwm5Ouxclook Now try this one: Long Division using Chunking - YouTube
  • 10. Everything we have been doing with factoring and multiples builds the number knowledge you need to divide more easily.