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Lesson 1-3 Squares and Square Roots

Lesson 1-3 Squares and Square Roots. Objective: Students will be able to find squares of numbers and square roots of perfect squares. Find the area of each square. How do you find the area of each square?. inches. inches. inches. inches. inches 2. inches 2.

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Lesson 1-3 Squares and Square Roots

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  1. Lesson 1-3 Squares and Square Roots Objective: Students will be able to find squares of numbers and square roots of perfect squares.

  2. Find the area of each square. How do you find the area of each square? inches inches inches inches inches2 inches2 Area may be found by either counting the number of units or multiply length of the sides.

  3. 3 x 3 = 9 5 x 5 = 25 The product of a number and itself is the square of the number. So the “square” of 3= 32 and 32= 3 x 3, which = 9 In other words the “square” of 3 = 9 5 x 5 = 25 the square of 5 is 25 What is the “square” of 5? 92 = 9x9 = 81 Find the square of 9 Find the square of 4 Find the square of 12 Find the square of 15 42 = 4x4 = 16 122 = 12 x12 = 144 152= 15 x 15 = 225

  4. Perfect Squares Numbers like 9, 16, and 225 are called square numbers or perfect squares because they are squares of whole numbers! 10 x 10 = 100 ( 100 is a perfect square because it is the square of 10) 7 x 7 = 49 (49 is a perfect square because it is the square of 7) Can you think of another perfect square?

  5. Square Roots The factors multiplied to form perfect squares are called square roots. A radical sign , is the symbol used to indicate the square root of a number! 42 = 4 x4 = 16, so = 4 16 Read as: the square root of 16 equals 4 The square root of a number is one of its two equal factors. When dealing with square roots just think: “What number times itself will equal the number inside the radical sign!”

  6. Square Roots Find the (read as “square root of 25” 25 5 x 5 = 25 so the square root of 25 = 5 Think: what number times itself equals 81? Find the 81 9 x 9 = 81 so the square root of 81 is 9 900 Find the 30 x 30 = 900 so the square root of 900 = 30

  7. Review! The product of a number and itself is called the “square” of that number. 3x3=9, so 9 is the square of three! What is the square of 11? 121, because 11 x 11 = 121 9 and 121 are also known as perfect squares because: They are the squares of whole numbers! The square root of a number is one of its two equal factors. The (read) “The square root of 36 is? 36 6

  8. Think: 3 squared = 9, so the square root of 9 is 3

  9. Homework Time! Square Roots Worksheet #2

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