The Distributive Property with a Little Help from a Mouse

​Distributive Property with help from a Mouse

​Make an observation...

How many rows?

How many in each row?​

Multiple Choice

How many rows are in the array?

• three rows

• 8 rows

• 24 rows

• 6 rows

Multiple Choice

How many units are in each row?

• 3 units

• 24 units

• 8 units

• 8 rows

Multiple Choice

Which multiplication expression matches the image to show ___ rows of ___ ?

• 8 x 3

• 8+8+8

• 3 x 8

• 3+3+3+3+3+3+3+3

​Mouse has a way to split this array using the Distributive Property...

​The Distributive Property allows you to break up one of the factors...

Multiple Choice

The Distributive Property is a strategy to help you multiply factors together to find a product.

• True

• False

​Mouse has decomposed the array into two smaller equations.

​

Multiple Choice

What's the product of 3 rows of 5?

• 10

• 8

• 2

• 15

Multiple Choice

What's the product of 3 rows of 3?

• 6

• 9

• 0

• 15

​Once you find the product to each part. Add the two products together to find the product of 3x8

​

​

Multiple Choice

What is the sum of 15 and 9?

• 14

• 6

• 24

• 25

​Mouse used the Distributive Property to break apart one of the factors in 3x8 to make smaller multiplication problems and find the answer.

​3 x 8 = (3 x 5) + (3 X 3)

3 x 8 = 15 + 9

3 x 8 = 24​

​Mouse used ALGEBRA !

​Let's try it again...

Make an observation!

How many rows?

How many in each row?​

Multiple Choice

How many rows are in the array?

• 5 rows

• 9 rows

• 7 rows

• 6 rows

Multiple Choice

How many units are in each row?

• 5 units

• 9 units

• 9 rows

• 6 units

Multiple Choice

What is the multiplication expression that matches this array?

• 9+9+9+9+9

• 9 x 5

• 6 x 9

• 6 + 9

​Wonder where mouse will break apart this array to make the equations easier to multiply?​

​Did you notice which factor Mouse decomposed?

Multiple Choice

Which factor did Mouse distribute?

• Mouse decomposed the number of rows. So he broke apart the factor of 6.

• Mouse decomposed the number in each row. So he broke apart the factor of 9.

​The array was split into two new arrays.

​

​

​By using the Distributive Property, Mouse has smaller multiplication equations to solve...

Multiple Choice

What is the product of the array on the left side of Mouse?

• 6 x 4 = 24

• 6 x 4 = 20

• 6 x 4 = 18

• 6 x 5 = 30

Multiple Choice

What is the product of the array on the right side of Mouse?

• 6 x 5 = 35

• 6 x 4 = 24

• 6 x 5 = 40

• 6 x 5 = 30

​Mouse has used the Distributive Property to find the product of the array...

6 X 9 =​ (6 x 4) + (6 X 5)

6 x 9 = 24 + 30​

Multiple Choice

What is the next step in the Distributive Property? What is the product of 6x9?

• The next step is to add 24 and 30. The product of 6x9 is 27

• The next step is to add 24 and 30. The product of 6x9 is 54

• The next step is to multiply 24 and 30. So the product is 720.

​Mouse used the Distributive Property to break apart one of the factors in 6x9 to make smaller multiplication problems and find the answer.

​6x9 = (6x4) = (6x5)

6x9 = 24 + 30

6x9 = 54​

​Mouse used ALGEBRA !

​Today we used the Distributive Property to break apart one array into two smaller arrays. The Distributive Property is a strategy for multiplying big numbers to help us be precise.

Poll

Which Winston look best matches how you feel about today's math topic?

• 1-Wait! What? We were talking about something today?

• 2-I heard what you said, but I'm gonna need a LOT more practice!

• 3-I get it! But don't ask me to tell someone else how to do this!

• 4-I understand what we talked about AND I can help someone else too!