Class Quilt Math: Using Properties to Multiply

Change the order, regroup factors, and break apart facts while sewing a class quilt.

Turn it around

Changing the order of the factors does not change the product. Fill in the blanks or choose the best answer.

Ms. Ortiz's class sews a quilt with 4 rows of 7 patches. Jada turns the quilt on its side. Now it has 7 rows.

4 × 7 = 7 ×
Both ways, the quilt has patches.

Leo knows that 6 × 8 = 48. Which other fact does he also know?

A. 6 + 8 = 48B. 8 × 6 = 48C. 8 × 8 = 48D. 48 × 6 = 8

Fill in the missing factor and the product.

9 × 3 = 3 × =

You can group three factors in different ways. The product stays the same.

Diego sews 3 quilt blocks. Each block has 2 rows of 5 patches. Find the total number of patches two ways.

(3 × 2) × 5 = × 5 =
3 × (2 × 5) = 3 × =

Ana wants to find 2 × 7 × 5. She wants to make a 10 first. Which shows her first step?

A. (2 × 7) × 5 = 14 × 5B. 2 × (7 × 5) = 2 × 35C. (2 × 5) × 7 = 10 × 7D. (2 + 5) × 7 = 7 × 7

Ryan finds 4 × 2 × 3 by multiplying 2 × 3 first.

4 × (2 × 3) = 4 × =

Match each expression to the one with the same product.

Break a hard fact into two easier facts. Then add the products.

Kofi's part of the quilt has 7 rows of 8 patches. He splits the 7 rows into 5 rows and 2 rows.

7 × 8 = (5 × 8) + (2 × 8)
= +
= patches

Break apart 6 × 9 by splitting the 9 into 5 and another number.

6 × 9 = (6 × 5) + (6 × )
= 30 +
=

10.

Which shows a correct way to break apart 4 × 9?

A. (4 × 5) + (4 × 5)B. (2 × 9) + (3 × 9)C. (4 × 5) + (4 × 4)D. (4 × 9) + (4 × 1)

11.

Is each expression equal to 6 × 7? Sort them.

12.

Mia does not know 8 × 7 yet. Explain how she can break it apart into facts she knows to find the product.