1, 4, 9 and 16 are perfect squares.

Can you find more?

In this lesson, you will learn how to generate perfect

squares by exploring a visual and learning a definition.

Let’s ReviewLet’s Review

S

S S ● S = A

S2 = A

Let’s ReviewLet’s Review

Integers: Include whole numbers and their opposites

Examples: -3, -2, -1, 0, 1, 2, 3

Let’s ReviewCore Lesson

Perfect Square: Area of a square with an integer side length

1 1

1

4 2

2

2 3

Irrational number side lengths

Let’s ReviewCore LessonPerfect Square: Area of a square with

an integer side length

Perfect Square

Integer

Integer

P.S. = Int. ● Int. P.S. = (Integer)2

Let’s ReviewCore LessonPerfect Square:

The result of squaring an integer12 = 1 22 = 4 32 = 9 42 = 16 52 = 25

62 = 36 72 = 49 82 = 64 92 = 81 102 = 100

112 = 121 122 = 144 132 = 169 142 = 196 152 = 225

162 = 256 172 = 289 182 = 324 192 = 361 202 = 400

Let’s ReviewCore Lesson

Negative Perfect Squares?

(-2)2 = (-2)(-2) = 4

Perfect Square: Area of a square with an integer side length

Perfect Square: The result of squaring an integer

There are no negative perfect squares.

Let’s ReviewCore Lesson

Is zero a perfect square?

(0)2 = (0)(0) = 0

Perfect Square: Area of a square with an integer side length

Perfect Square: The result of squaring an integer

Zero is a perfect square.

Let’s ReviewA Common MistakeAre all even numbers perfect squares?

42 = 8 42 = 4 ● 2 = 8

42 = 4 ● 4 42 = 16 Not all even numbers are perfect

squares.

Let’s ReviewCore LessonPerfect Square:

The result of squaring an integer12 = 1 22 = 4 32 = 9 42 = 16 52 = 25

62 = 36 72 = 49 82 = 64 92 = 81 102 = 100

112 = 121 122 = 144 132 = 169 142 = 196 152 = 225

162 = 256 172 = 289 182 = 324 192 = 361 202 = 400

In this lesson, you have learned how to generate

perfect squares by exploring a visual and learning a definition.

Let’s ReviewGuided Practice

Is 40 a perfect square?

Let’s ReviewGuided Practice

How many perfect squares are there between 200 and 300?

Let’s ReviewExtension Activities

While squaring a number means to multiply a number by itself, cubing a number means to multiply a number by itself three times. So a perfect cube is the result of cubing an integer. This means 8 is a perfect cube because 2 x 2 x 2 = 8. How many perfect cubes are there between 0 and 1000?

Let’s ReviewExtension Activities

Find as many sets of three perfect squares where the largest of the three perfect squares is the sum of the two smaller perfect squares. For example, one set is 9, 16, 25 because 9 + 16 = 25.

Let’s ReviewQuick Quiz

Which of the following is a perfect square? (a) 600 (b) 700 (c) 800 (d) 900

How many perfect squares are there between 300 and 500?