Exploring the Area Model for Multiplication

The video tutorial explains how to use the area model, also known as the generic rectangle, to solve multiplication problems. It demonstrates the process with examples like 8 times 32, 5 times 628, 12 times 34, and 45 times 12. The tutorial emphasizes breaking numbers into parts to simplify multiplication using the distributive property. Students are encouraged to practice with a problem on their own.

What is the first step in solving 8 times 32 using the area model?

• Draw a rectangle and label the sides 8 and 32

• Multiply 8 by 32 directly

• Break 32 into 30 and 2

• Add 8 and 32

What is the area of the smaller rectangle when solving 8 times 32?

• 32

• 256

• 16

• 240

How do you break down the number 628 in the area model?

• 60 + 28

• 600 + 20 + 8

• 600 + 28

• 620 + 8

What is the total area when solving 5 times 628?

• 628

• 3,140

• 140

• 3,000

How do you break down the number 12 in the area model?

• 10 + 4

• 10 + 2

• 12 + 0

• 6 + 6

What is the area of the bottom left rectangle when solving 12 times 34?

• 8

• 300

• 40

• 360

What is the first step in solving 7 times 134 using the area model?

• Multiply 7 by 134 directly

• Draw a rectangle and label the sides 7 and 134

• Add 7 and 134

• Break 134 into smaller parts

What is the total area when solving 7 times 134?

• 938

• 45

• 30

• 75

How do you break down the number 45 in the area model?

• 40 + 5

• 45 + 0

• 30 + 15

• 20 + 25

What is the total area when solving 45 times 12?

• 540

• 408

• 540

• 540