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Splash Screen. Squares and Square Roots Lesson 10-1 Page 555. Five-Minute Check (over Chapter 9) Then/Now New Vocabulary Key Concept: Square Root Example 1: Find Square Roots Example 2: Estimate Square Roots Example 3: Use a Calculator to Estimate a Square Root

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  1. Splash Screen

  2. Squares and Square Roots • Lesson 10-1 • Page 555

  3. Five-Minute Check (over Chapter 9) Then/Now New Vocabulary Key Concept: Square Root Example 1: Find Square Roots Example 2: Estimate Square Roots Example 3: Use a Calculator to Estimate a Square Root Example 4: Use a Calculator to Estimate a NegativeSquare Root Example 5: Real World Example: Use Square Rootsto Solve Problems Lesson Menu

  4. Write 5 ● 5 ● a ● a ● b ● b ● b using exponents. A. 10a2b3 B. 52a2b3 C. 10ab5 D. 5ab5 5-Minute Check 1

  5. Write x ● y ● x ● y ● x ● y ● x ● y using exponents. A. 2xy B. 4xy C. 4(xy)4 D. (xy)4 5-Minute Check 2

  6. Find 35 ● 34. Express using positive exponents. A. 320 B. 310 C. 39 D. 920 5-Minute Check 3

  7. Find (5a2)(–7a3). Express using positive exponents. A. –35a5 B. –12a6 C. –12a5 D. 35a5 5-Minute Check 4

  8. Express using positive exponents A. B. C. D. 5-Minute Check 5

  9. Which of the following equations represents the graph shown? A.y = 3x3 B.y = 3x2 + 2x – 2 C.y = 3x – 2 D.y = 3x 5-Minute Check 6

  10. You have already evaluated expressions containing squares of numbers. (Lesson 8–1) • Find square roots. • Estimate square roots. Then/Now

  11. perfect square- is the square root of an integer. • square root- of a number is one of its 2 equal factors. • radical sign- is used to indicate a positive square root. Vocabulary

  12. Concept

  13. A. Find Square Roots Answer: 8 Example 1 A

  14. B. Find Square Roots Answer: –11 Example 1 B

  15. Find Square Roots Answer: +16 and –16 Example 1 C

  16. D. Find Square Roots Answer: There is no square root because no number times itself is equal to –9. Example 1 D

  17. A. A. 624 B. 12.5 C. 5 D. –5 Example 1 CYP A

  18. B. A. 12 B. –12 C. –72 D. –20,736 Example 1 CYP B

  19. C. A. 4 B. –4 C. 4 and –4 D. 256 and –256 Example 1 CYP C

  20. D. A. –8 B. 8 C. –32 D. There is no real square root. Example 1 CYP D

  21. A. The first perfect square less than 22 is 16. The first perfect square greater than 22 is 25. Estimate Square Roots Answer: 5 Example 2 A

  22. B. The first perfect square less than 319 is 289. The first perfect square greater than 319 is 324. Estimate Square Roots Answer: –18 Example 2 B

  23. A. A. 6 B. 7 C. 8 D. 9 Example 2 CYP A

  24. B. A. –6 B. –7 C. 6 D. 7 Example 2 CYP B

  25. 2nd 57 ENTER 7.549834435 Use a Calculator to Estimate a Square Root Use a calculator. Round to the nearest tenth. Check for Reasonableness Since 82 = 64, the answer is reasonable. Example 3

  26. A. 3.9 B. 9.8 C. 38.5 D. There is no real square root. Example 3

  27. 2nd 42 ENTER 6.480740698 Use a Calculator to Estimate a Negative Square Root Use a calculator. Round to the nearest tenth. Check for Reasonableness Since 72 = 49, the answer is reasonable. Example 4

  28. A. –8.5 B. –36.0 C. 8.5 D. There is no real square root. Example 4

  29. Write the formula. Use Square Roots to Solve Problems SKYSCRAPERThe tallest building in Houston, Texas, is the JP Morgan Chase Tower, standing at 1002 feet. About how far to the horizon can a person standing on the top floor see? Round your answer to the nearest tenth. Replace h with 1002. Evaluate the square root first. Example 5

  30. Use Square Roots to Solve Problems ≈ 38.6 Multiply. Answer: On a clear day, a person could see about 38.6 miles. Example 5

  31. A. 23.2 miles B. 23.3 miles C. 23.7 miles D. 24.4 miles Example 5

  32. End of the Lesson

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