7th Grade Math

Square Roots

PART A BC

Multi-Part

Lesson 3

Get ConnectED

GLE 0706.2.5

Understand and work with

squares, cubes, square roots

and cube roots. SPI 0706.2.3

Use rational numbers and

roots of perfect squares/

cubes to solve contextual

problems. Also addresses

GLE 0706.1.3, GLE 0706.1.8.

52 Expressions and Patterns

Perfect Squares

AREA The rug in Michaela’s

bedroom is in the shape of a square and has

an area of 36 square feet. How long is the

length of one side of the rug?

What do you need to find? the side length of the rug

Construct a square using 36 tiles.

Count the total number of tiles for one side.

So, the length of each side of Michaela’s rug is 6 feet.

Determine if you can construct a square using 4, 9, 12, 16, 18,

and 20 tiles.

Try to construct a square using 4 tiles, 9 tiles, and

16 tiles.

Try to construct a square using 12 tiles, 18 tiles, and

20 tiles.

the Results

1. Refer to Activity 2. Which of the tile groups form squares?


2. Construct a square using 100 tiles. What are the lengths of the
   sides of the square?


3. Name two other tile groups that can be used to construct a square.


4. MAKE A CONJECTURE What is the relationship between the lengths
   of the sides and the areas of the squares?

Main Idea

Identify perfect

squares.

bedrroom i

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