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starMay 2013

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The ideas in this division lesson are taken from Division 1 ebook. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.


Division and multiplication
Free lesson plan from HomeschoolMath.net

You can get both a multiplication fact and a division fact from the same picture:

Three groups of 4 is total 12. 3 × 4 = 12



12 divided into groups of 4 is three groups.

12 ÷ 4 = 3

 

Two groups of 6 is total 12. 2 × 6 = 12


12 divided into groups of 6 is two groups.

12 ÷ 6 = 2
Five groups of 2 is total __. __× 2 =__





__ divided into groups of 2
is ___ groups.

__÷ 2 =__
One group of 4 is total 4. __× 4 =__

4 divided into groups of 4 is one group.

__÷ 4 =__
__ groups of     is total __. __×__ =__

__ divided into groups of     is ___ groups.

__÷__ =__
Five groups of 1 is total 5. __× 1 =__

5 divided into groups of 1 is __ groups.

__÷ 1 =__
__ groups of     is total __. __× __ =__







__ divided into groups of    is ___ groups.

__÷__ =__

 

Multiplication and division are very closely related.  They are the opposite operations.
You could say division is "backwards" multiplication. 



Example problems

1.  Make groups.  Then write down the division and multiplication facts that the pictures are illustrating.

Make groups of four.

__ × 4 =  8

8 ÷ 4 = __


Make groups of two.

__× 2 = __

__÷ 2 = __


__× 4 = __

__÷ 4 = __




__× 7 = __

__÷ 7 = __





 2.  Now draw sticks or balls and make a picture yourself.  Make groups.  Write the division and multiplication sentences.

Draw 27 sticks.  Make groups of 9.

 

 

 

Draw 32 sticks.  Make groups of 16.

Draw 8 sticks.  Make a group of 8.

 

 

 

Draw 18 sticks.  Make groups of 9.

 
3.  For each multiplication fact, write also a division fact. Think about the groups!

7 × 2 = 

__ ÷ 2 = __

 

 

10 × 6 = 

__ ÷ __ =

12 × 2 = 

__ ÷ 2 =  

 

 

1 × 5 = 

__ ÷ __ =  

8 × 5 = 

__ ÷ 5 =  

 

 

11 × 3 = 

__ ÷ __ =



You can solve a division problem if you think of the multiplication problem.

30 ÷ 6 = __   Think: what times 6 is 30?

__  × 6 = 30



4.  For each division, think of the corresponding multiplication and solve.

14 ÷ 2 = 

__ × 2 =  14

 

18 ÷ 6 = 

__ × __ = 

18 ÷ 2 = 

__ × 2 =  

 

24 ÷ 4 = 

__ × __ =  

15 ÷ 3 = 

__ × 3 =  

 

33 ÷ 3 = 

__ × __ =  

 

5.  Again think of the multiplication but do not write down the multiplication fact.

24 ÷ 4 =

16 ÷ 2 =

20 ÷ 2 =

36 ÷ 9 =

48 ÷ 6 =

56 ÷ 8 =

81 ÷ 9 =

100 ÷ 10 =



Next lesson: Division as repeated subtraction

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New! Times Tales is now on DVD!

The fast, FUN, and easy way to learn multiplication. Learn the upper times tales in two sittings using mnemonic stories.
 
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