Exploring Multiplication & Division

• I am learning to understand that multiplication and division are inverse operations.

• I am learning to use different strategies when multiplying and dividing.

Exploring Multiplication & Division

Let's see what you remember about multiplication.

How are pictures A and B mathematically the same?

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​Look at the two pictures:

• A and B are the same because they both show equal groups of dog treats.

• Both pictures show 18 dog treats.

• Both pictures show them arranged in three columns.

• The treats are the same size and shape in both pictures.

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How are they the same?

How are pictures A and B mathematically different?

​

​Look at the two pictures:

• A and B are different because A shows 18 in 3 groups of 6, but B shows 18 in 6 groups of 3.

• Picture A shows 1 row of equal groups, but B shows 2 rows of equal groups.

• Picture B shows each group in A broken in half, so there are twice as many groups.

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How are they Different?

KEY VOCABULARY

​Multiplication and division are inverse operations

KEY VOCABULARY

​Number of groups
(factor)

​Number in each group
(factor)

​Number in all
(product)

​x

​=

​ 3 x 6 = 18

KEY VOCABULARY

​Number of groups
(divisor)

​Number in all
(dividend)

​Number in each group
(quotient)

​=

​÷

​ 18 ÷ 3 = 6

​ 3 x 6 = 18