Exploring Multiplication & Division

Exploring Multiplication & Division

Understanding the concept of division and its relationship to multiplication.

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.

Drag and Drop

This array shows ​

Placeholder

rows of ​

Placeholder

cookies equals ​

Placeholder

cookies.

Drag these tiles and drop them in the correct blank above

4

5

20

3

6

18

Multiple Choice

This array shows 4 rows of 5 cookies equals 20 cookies. What is the multiplication equation for this array?

• 4 + 5 = 20
• 4 - 5 = 20
• 4 ÷ 5 = 20
• 4 x 5 = 20

Drag and Drop

This array shows ​

Placeholder

rows of 2 cookies equals ​

Placeholder

cookies.

Drag these tiles and drop them in the correct blank above

2

4

5

1

Multiple Choice

This array shows 2 rows of 2 cookies equals 4 cookies. What is the multiplication equation for this array?

• 2 ÷ 2 = 4
• 2 x 2 = 4
• 2 - 2 = 4
• 2 + 2 = 4

Drag and Drop

This array shows ​

Placeholder

rows of ​

Placeholder

cookies equals ​

Placeholder

cookies.

Drag these tiles and drop them in the correct blank above

3

8

24

9

27

4

Multiple Choice

This array shows 3 rows of 8 cookies equals 24 cookies. What is the multiplication equation for this array?

• 3 + 8 = 24
• 3 - 8 = 24
• 3 ÷ 8 = 24
• 3 x 8 = 24

Drag and Drop

This array shows ​

Placeholder

rows of ​

Placeholder

cookies equals ​

Placeholder

cookies.

Drag these tiles and drop them in the correct blank above

5

3

15

9

16

6

Multiple Choice

This array shows 5 rows of 3 cookies equals 15 cookies. What is the multiplication equation for this array?

• 5 ÷ 3 = 15
• 5 - 3 = 15
• 5 x 3 = 15
• 5 + 3 = 15

Draw

Draw an array that shows 2 x 4

Draw

Draw an array that shows 5 x 3

How are pictures A and B mathematically the same?

​

​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.

​

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.

​

How are they Different?

KEY VOCABULARY

​Multiplication and division are inverse operations

Match

Match the following:

• Number in all

• Number of groups

• Number in each group or the answer

dividend

divisor

quotient

• dividend

• divisor

• quotient

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

Drag and Drop

There are ​

Placeholder

groups, with ​

Placeholder

ice cream cones in each group and ​

Placeholder

ice cream cones in all. The multiplication equation is ​

Placeholder

. The division equation is ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

3 x 4 = 12

3

4

12 ÷ 3 = 4

12

Match

Match the following:

• 12

• 3

• 4

dividend

divisor

quotient

• dividend

• divisor

• quotient

Drag and Drop

There are ​ ​

Placeholder

groups, with ​

Placeholder

leaves in each group and ​

Placeholder

leaves in all. The multiplication equation is ​

Placeholder

. The division equation is ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

9 x 2 = 18

2

18 ÷ 9 = 2

18

9

Match

Match the following:

• 18

• 9

• 2

dividend

divisor

quotient

• dividend

• divisor

• quotient

Multiple Choice

What is the relationship between multiplication and division?

• Multiplication and division are unrelated operations.

• Multiplication and division are the same operation.

• Multiplication and division are inverse operations.

• Multiplication and division are alternative operations.

Poll

How comfortable do you feel now about solving problems with division?

• I feel GREAT!

• I feel better than before.

• I just don't get this!