You can use
arrays to see the
relationship between addition
and multiplication.
An array is
objects arranged in rows and columns.
Rows go from
left to right.
Columns go from
top to bottom.
An
array can be a
picture to show how to add equal groups.
Look at the rows and
columns. 
Write
2 + 2 + 2 = 6
or 3 groups of 2
3 x 2 = 6 
Write 3 + 3 = 6
or 2 groups of 3
2 x 3 = 6

In
addition you can
reverse the order of the addends
and still get the same answer. (ex: 2
+ 6 = 8 or 6 + 2 = 8)
In
multiplication you can
reverse the order of the factors
and still get the same answer.
(ex: 3 x 6 = 18 or 6 x 3 = 18)
Look at each
array. You can write an addition sentence and a multiplication
sentence for each. 
3 + 3 + 3 + 3
= 12
4 groups of 3
or
4 x 3 = 12 
4 + 4 + 4 = 12
3 groups of 4
or
3 x 4 = 12 
2 + 2 + 2 + 2 + 2 = 10
5 groups of 2
or
5 x 2 = 10

5 + 5 =10
2 groups of 5
or
2 x 5 = 10 
Multiplication is a short cut for addition.
Write a multiplication sentence that is a short cut for each addition
sentence.
Addition

Multiplication

7 + 7 + 7 = 21

3 x
7 = 21 
4 + 4 + 4 + 4 = 16 
4 x 4 = 16 
9 + 9 = 18 
2 x 9 = 18 
6 + 6 + 6 + 6 + 6 = 30 
5 x 6 = 30 
Click on the
apple for practice.
