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starMay 2013

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The ideas in this multiplication lesson are taken from Math Mammoth Multiplication 1 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.


Multiplication in two ways (showing it is commutative)
Free lesson plan from HomeschoolMath.net

Compare the two pictures:

    4

    4

 + 4

  12

Three rows; four dogs in each row.

3 × 4 = 12









      3    +    3    +   3    +   3  =  12

Four columns; each column has three dogs.

4 × 3 = 12

 

Five rows; 
each row has two rams.

___+___+___ +___+___

5 × 2 =  ___

Two columns; 
five rams in each column.

___ + ___

2 × 5 = ___

     

 

One  row has five giraffes.

___ giraffes

1 × 5 = 5

Five columns, each has one giraffe.

___ + ___ + ___ + ___ + ___ giraffes. 

5 × 1 = ___

 

You can do the same multiplication in two different ways but the result is the same.
The order of numbers to be multiplied does not matter.

(Multiplication is commutative.)

1. Group the animals in two different ways and make the addition and multiplication facts to fit
    the pictures.  In what case do you get the same fact either way?

a.

4 + 4

___ × ___ = ___

2 + 2 + 2 + 2

___ × ___ = ___

b.





____________

___×___ = ___

____________

___×___ = ___

c.

 
_____________

___×___ = ___

  
____________

___×___ = ___

d.



_____________

___ × ___ = ___



 _____________

___ ×___ = ___

2. Draw X marks and group them in two ways to illustrate the two ways to multiply.

 

 


 

a  9 × 2 = ___ 2 × 9 = ___
 

 


 

b.   4 × 10 = ___ 10 × 4 = ___


Multiplying two ways on the number line

  5 × 2 = 10

2 × 5 = 10

 
7 × 2 = 14

2 × 7 = 14

  
3. For each number line, write the two multiplication sentences that the arrows portray.

 
a.  

 


 

 
b.

 


 

4. Write down the multiplication sentence. Then write the multiplication the other way, and
     draw the arrows for that multiplication sentence.

 
a.  

 

 
b.

 

 
  

5. Skip-count to fill the multiplication table of 3. How does the picture connect with it?

1 × 3 =

2 × 3 =

3 × 3 =

4 × 3 =

5 × 3 =

6 × 3 =

7 × 3 =

8 × 3 =

9 × 3 =

10 × 3 =

11 × 3 =

12 × 3 =

 

Next lesson: Multiplying by zero

Hooda Math

Free math worksheets and practice - Adapted Mind

Practice makes perfect. Practice math at IXL.com


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