# Lesson 11 Area and the Multiplication Table

Let’s explore area and the multiplication table.

## Warm-up How Many Do You See: Arrays that Grow

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

## Activity 1 Area and the Multiplication Table

## Problem 1

What do you notice? What do you wonder?

## Problem 2

Use the blank table to create your own rectangle.

Start from the top left corner. Record the product that the rectangle represents. Be prepared to explain your reasoning.

## Problem 3

Use the following table to create a rectangle with an area of 24 square units. Start from the top left corner. Record the product that the rectangle represents. Be prepared to explain your reasoning.

## Activity 2 Products in the Multiplication Table

## Problem 1

What do you notice? What do you wonder?

## Problem 2

Find as many other products in the table as you can. You may want to start with rows and columns that show products of 2, 5, and 10.

## Problem 3

What patterns do you see in the row and column that show products of 5?

## Problem 4

Write some equations that show one of the patterns that you see in the multiplication table. Explain or show your reasoning.

## Practice Problem

## Problem 1

Describe some patterns that you see for the numbers in the table.

Describe one of the patterns you saw using an equation.