# Lesson 12 Partition Rectangles Into Squares

Let’s partition rectangles into squares.

## Warm-up Estimation Exploration: Fill it Up

How many little squares would fill the rectangle?

Record an estimate that is:

too low | about right | too high |
---|---|---|

## Activity 1 How Many Squares?

## Problem 1

Build a rectangle with 8 tiles arranged in 2 rows. Use a ruler to partition the rectangle to match the rectangle you made.

## Problem 2

Use a ruler to partition the rectangle using the tick marks as a guide.

How many rows of equal-size squares did you make?

How many columns did you make?

Write 2 equations to represent the total number of equal-size squares.

## Problem 3

Use a ruler to partition the rectangle using the tick marks as a guide.

How many rows of equal-size squares did you make?

How many columns did you make?

Write 2 equations to represent the total number of equal-size squares.

## Activity 2 Partition Rectangles

## Problem 1

Use 12 tiles to make a rectangle. Split one of the rectangles into equal-size squares to match your rectangle made of tiles.

Write 2 equations to represent the total number of squares.

## Problem 2

Split this rectangle into equal-size squares.

Write 2 equations to represent the total number of squares.

## Problem 3

Split this rectangle into equal-size squares.

Write 2 equations to represent the total number of squares.

## Practice Problem

## Problem 1

Split the rectangle into equal-size squares.

Write 2 equations that represent the number of squares in the array.