Exploring the Area Model of Multiplication

Mrs. Jacobs teaches Go Math Grade 4, Chapter 2, Lesson 2.6, focusing on multiplying two, three, and four-digit numbers by a one-digit number using the area model. The lesson covers the steps to use the area model, including writing numbers in expanded form, drawing a rectangular model, labeling factors, dividing the rectangle, and adding products. Examples are provided for each type of multiplication, demonstrating the process and emphasizing the relationship between the area model and the distributive property.

What does the area inside the rectangle represent in the area model for multiplication?

• The sum of the factors

• The product of the factors

• The difference of the factors

• The quotient of the factors

What is the first step in using the area model for multiplication?

• Multiply the factors

• Add the products

• Write the multi-digit factor in expanded form

• Draw a rectangular model

When dividing the rectangle in the area model, what does the addition symbol indicate?

• Where to multiply

• Where to add

• Where to subtract

• Where to cut the rectangle

In the example of 7 times 84, what is the expanded form of 84?

• 70 + 14

• 60 + 24

• 80 + 4

• 50 + 34

What is the product of 7 times 80 in the two-digit example?

• 540

• 480

• 580

• 560

In the three-digit example, what is the expanded form of 725?

• 700 + 20 + 5

• 700 + 25

• 70 + 200 + 5

• 720 + 5

What is the product of 6 times 700 in the three-digit example?

• 4,200

• 4,300

• 4,400

• 4,500

What is the final product of 725 times 6 in the three-digit example?

• 4,350

• 4,300

• 4,250

• 4,400

In the four-digit example, how many separate areas will the rectangle be divided into?

• Five

• Four

• Three

• Two

What is the product of 6 times 9,000 in the four-digit example?

• 54,000

• 54,900

• 54,600

• 54,300