7th Grade Math

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Convert Measurements

PART A BCDEF

Multi-Part

Lesson 1

GLE 0706.4.2

Apply proportionality to

converting among different

units of measurements to

solve problems involving

rates such as motion at a

constant speed.

GLE 0706.4.4 Understand

and use ratios, derived

quantities, and indirect

measurements.

Main Idea

Convert units of

measure between

dimensions including

area and volume.

Convert Units of Area

and Volume

CARPETING Jonathan is carpeting his

15 ft

12 ft

bedroom. His bedroom is 15 feet long

and 12 feet wide. While shopping, he

notices carpet is sold in square yards.

1. How many feet are in one yard?


2. How many yards long is the room?


3. How many yards wide is the room?


4. What is the area of the room in square yards?

You can use the formula for the area of a square, A = s^2 , to find the

number of square feet in one square yard.

Convert Area Measurements

Convert one square yard to square feet.

A square yard is a square with a side length of one yard. You know

that one yard is equal to three feet. So, one square yard is a square

with side length of three feet.

A = s^2 Write the formula.

A = 32 Replace s with 3.

A = 9 Simplify.

1 ft

1 ft

1 yd 1 ft

1 ft

1 ft

1 yd

1 ft

So, one square yard is equal to

9 square feet.

Convert one square meter to square centimeters.

A square meter is a square with a side length of one meter. You

know that one meter is equal to 100 centimeters. So, one square

meter is a square with side length of 100 centimeters.

A = s^2 Write the formula.

A = 1002 Replace s with 100.

A = 10,000 Simplify.

So, one square meter is equal to 10,000 square centimeters.

Lesson 1F Convert Measurements 643

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