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Lesson 9-1 Pages 436-440 Squares and Square Roots PA Lesson Check 7-Ch7 Read Pages 436-438

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What you will learn! 1. How to find squares and square roots. 2. How to estimate square roots.

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Perfect Square Square root Radical sign

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What you really need to know! A perfect square is the square of a whole number. A square root of a number is one of two equal factors of the number.

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Every positive number has a positive square root and a negative square root. The square root of a negative number such as –25, is not real because the square of a number is never negative. What you really need to know!

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SquareSquare Root

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Example 1: Find the square root: Since 8 2 = 64,

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Example 1b: Find the square root: Since 11 2 = 121,

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Example 1c: Find the square root: Since 2 2 = 4 and (-2) 2 = 4,

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Example 2: Use a calculator to fine the square root to the nearest tenth. 4.8

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Example 2b: Use a calculator to fine the square root to the nearest tenth. -6.8

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Example 3: Estimate the square root to the nearest whole number. The perfect squares are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169,...

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22 is between 16 and 25. The perfect squares are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169,...

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22 is closer to 25. So 5 is the best estimate for the square root of 22. The perfect squares are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169,...

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Example 3b: Estimate the square root to the nearest whole number. The perfect squares are:..., 169, 196, 225, 256, 289, 324, 361,...

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319 is between 289 and 324. The perfect squares are:..., 169, 196, 225, 256, 289, 324, 361,...

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319 is closer to 325. So 18 is the best estimate for the square root of 319. The perfect squares are:..., 169, 196, 225, 256, 289, 324, 361,...

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Example 4: where D is the distance in miles and A is the altitude, or height, in feet. To estimate how far you can see from a point above the horizon, you can use the formula:

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Example 4: The observations deck at the Seattle Space Needle is 520 feet above the ground. On a clear day, about how far could a tourist see? Round to the nearest tenth.

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Page 438 Guided Practice #’s 4-11

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Pages 436-438 with someone at home and study examples! Read:

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Homework: Pages 439-440 #’s 12-56 even, 71-80 Lesson Check 9-1

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Homework: Pages 439-440 #’s 12-56 even #’s 59, 60 and 71-74

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Page 745 Lesson 9-1

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Lesson Check 9-1

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