Understanding Rectangles and the Distributive Property

The video tutorial covers the homework for lesson 10 of module 4 for grade 3, focusing on the distributive property. It uses multiple examples with shaded and unshaded rectangles to demonstrate how to calculate the total area by adding the areas of smaller rectangles. The tutorial explains the concept of breaking down complex multiplication into simpler parts using the distributive property, both through addition and subtraction. The lesson emphasizes mental math strategies and the use of friendly digits to simplify calculations.

What is the first step in solving the homework for lesson 10?

• Draw the rectangles

• Write your name

• Find the total area

• Label the side lengths

How do you find the total area of the large rectangle?

• By dividing the large rectangle into four parts

• By multiplying the side lengths of the large rectangle

• By adding the areas of the two smaller rectangles

• By subtracting the areas of the smaller rectangles

What is the distributive property used for in this lesson?

• To subtract areas of rectangles

• To multiply and add areas of rectangles

• To find the perimeter of rectangles

• To divide rectangles into smaller parts

In the example with the shaded and unshaded rectangles, what is the total area of the large rectangle?

• 72 square units

• 64 square units

• 81 square units

• 90 square units

What is the multiplication equation used for the shaded rectangle in the first example?

• 5 times 8

• 4 times 8

• 8 times 8

• 9 times 8

In the 12x5 rectangle example, what are the two smaller rectangles?

• 2x5 and 10x5

• 5x5 and 7x5

• 4x5 and 8x5

• 3x5 and 9x5

What is the total area of the 12x5 rectangle?

• 70 square units

• 50 square units

• 60 square units

• 80 square units

In the 7x13 rectangle example, what is the sum of the areas of the two smaller rectangles?

• 81 square units

• 91 square units

• 111 square units

• 101 square units

What are the dimensions of the shaded rectangle in the 7x13 example?

• 7x13

• 7x7

• 7x3

• 7x10

In the 9x12 rectangle example, what is the total area?

• 108 square units

• 98 square units

• 128 square units

• 118 square units