Lesson 5 Represent Products as Areas

- Let’s connect multiplication expressions to area.

Warm-up How Many Do You See: One More

How many do you see? How do you see them?

Activity 1 Match Expressions and Areas

Your teacher has posted images of rectangles around the room. Match each expression with a rectangle that can represent it. Be prepared to explain your reasoning.

$9 \times 5$
$8 \times 2$
$7 \times 10$
$3 \times 3$
$2 \times 6$
$8 \times 4$
$5 \times 7$

Activity 2 Create from Expressions

The numbers in each expression represent the number of rows (or columns) in a rectangle and how many squares are in each row (or column).
On the grid, draw each rectangle, label it with the numbers, and find its area.
1. $3 \times 4$
2. $4 \times 6$
3. $6 \times 3$
4. $7 \times 4$
5. $3 \times 2$
Explain why multiplying the numbers in each expression gives us the area of the rectangle.

Practice Problem

Problem 1

Use the grid to create a rectangle whose area can be represented by $5 \times 7$ .
How does your rectangle represent the expression $5 \times 7$ ?