# 1, 4, 9 and 16 are perfect squares.

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. Lets Review Lets Review SS=A S 2

S =A S Lets Review Lets Review Integers: Include whole numbers and their opposites Examples: -3, -2, -1, 0, 1, 2, 3 CoreReview Lesson Lets Perfect Square: Area of a square with an integer side length

1 1 1 2 3 Irrational number side lengths 2 4 2 CoreReview Lesson

Lets Perfect Square: Area of a square with an integer side length Integer Perfect Square Integer P.S. = Int. Int. P.S. = (Integer)2 CoreReview Lesson Lets Perfect Square: The result of squaring an integer

2 1 =1 2 2 =4 2 3 =9 2 4 = 16 2 5 = 25 2 6 = 36 2

7 = 49 2 8 = 64 2 9 = 81 2 2 11 = 121 2 12 = 144 2 13 = 169 2

14 = 196 2 2 16 = 256 2 17 = 289 2 18 = 324 2 19 = 361 2 10 = 100 15 = 225 20 = 400 CoreReview

Lesson Lets Negative Perfect Squares? Perfect Perfect Square: Square: AreaThe of aresult square of with an squaring integer an side integer length 2

(-2) = (-2)(-2) = 4 There are no negative perfect squares. CoreReview Lesson Lets Is zero a perfect square? Perfect Perfect Square: Square: AreaThe of aresult square of with an squaring

integer an side integer length 2 (0) = (0)(0) = 0 Zero is a perfect square. A Common Lets Review Mistake Are all even numbers perfect squares? 2 4 =8 2

2 4 =42=8 2 4 = 16 4 =44 Not all even numbers are perfect squares. CoreReview Lesson Lets Perfect Square: The result of squaring an integer 2 1 =1

2 2 =4 2 3 =9 2 4 = 16 2 5 = 25 2 6 = 36 2 7 = 49 2

8 = 64 2 9 = 81 2 2 11 = 121 2 12 = 144 2 13 = 169 2 14 = 196 2

2 16 = 256 2 17 = 289 2 18 = 324 2 19 = 361 2 10 = 100 15 = 225 20 = 400 In this lesson, you have learned how to generate perfect squares by exploring a visual and learning a definition.

Guided Practice Lets Review Is 40 a perfect square? Guided Practice Lets Review How many perfect squares are there between 200 and 300? Extension Lets ReviewActivities

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? Extension Lets ReviewActivities 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.

Quick Quiz Lets Review 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?

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