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Lesson 11-1 Pages 470-473 Squares and Square Roots.

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Presentation on theme: "Lesson 11-1 Pages 470-473 Squares and Square Roots."— Presentation transcript:

1 Lesson 11-1 Pages 470-473 Squares and Square Roots

2 What you will learn! How to find squares of numbers and square roots of perfect squares.

3 Square Perfect square Square root Radical sign

4 What you really need to know! The product of a number and itself is the square of the number. Numbers like 4, 25, and 2.25 are called perfect squares because they are squares of rational numbers. The factors multiplied to form perfect squares are called square roots.

5 What you really need to know! Both 55 and (-5)(-5) equal 25. So, 25 has two square roots, 5 and -5. A radical sign, √, is the symbol used to indicate the positive square root of a number. So, √25 = 5.

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7 Number1234567 Square14916253649 Perfect Square 14916253649 Square Root 1234567

8 Link to Pre-Made Lesson

9 Example 1: Find the square of 5. 5 5 = 25

10 Example 2: Find the square of 19. 19 19 = 361

11 Example 3: A 6 kilogram ball is soaring through the air at 5 meters per second. If kinetic energy = ½mv 2, where m is the mass and v is the speed, what is the ball’s kinetic energy?

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13 Example 4: Since 6 x 6 = 36, the square root of 36 is 6.

14 Example 5: Since 26 x 26 = 676, the square root of 676 is 26.

15 Example 6: A checkerboard is a square with an area of 1,225 square centimeters. What are the dimensions of the checkerboard? Since 35 x 35 = 1,225, the dimensions of the board would be 35 cm x 35 cm.

16 Page 472 Guided Practice #’s 4-12

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18 Pages 470-471 with someone at home and study examples! Read:

19 Homework: Page 472-473 #’s 13-38, 46, 47, 50- 53 Lesson Check 11-1

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23 Page 590 Lesson 11-1


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