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Lesson 3-1 Ideas/Vocabulary

Find square roots of perfect squares. perfect square. square root radical sign. Lesson 3-1 Ideas/Vocabulary. Reinforcement of TEKS 7.1 The student represents and uses numbers in a variety of equivalent forms. (C) Represent squares and square roots using geometric models. Lesson 3-1 TEKS.

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Lesson 3-1 Ideas/Vocabulary

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  1. Find square roots of perfect squares. • perfect square • square root • radical sign Lesson 3-1 Ideas/Vocabulary

  2. Reinforcement of TEKS 7.1 The student represents and uses numbers in a variety of equivalent forms. (C)Represent squares and square roots using geometric models. Lesson 3-1 TEKS

  3. Find indicates the positive square root of 81. Answer: Find Square Roots Interactive Lab: Square Roots Lesson 3-1 Example 1

  4. Find • A • B • C • D A. 4 B. 6 C. 8 D. 16 Lesson 3-1 Example 1 CYP

  5. Find indicates the negative square root of Answer: Find Square Roots Lesson 3-1 Example 2

  6. Find A. B. C. D. • A • B • C • D Lesson 3-1 Example 2 CYP

  7. Find indicates both the positive and negative square roots of 1.44. Answer: Since (1.2)2 = 1.44 and (–1.2)2 = 1.44, = ±1.2, or 1.2 and –1.2. Find Square Roots Lesson 3-1 Example 3

  8. Find • A • B • C • D A.±1.2 B.±1.25 C.±1.5 D.±1.75 Lesson 3-1 Example 3 CYP

  9. x = Definition of square root Use Square Roots to Solve an Equation ALGEBRASolve x2 = 225. x2 = 225 Write the equation. x = 15 and x = –15 Check 15  15 = 225 and (–15)  (–15) = 225 Answer:The equation has two solutions, 15 and –15. Lesson 3-1 Example 4

  10. A • B • C • D ALGEBRA Solve x2 = 81. A. –9 B. 9 C. –9 and 9 D. –8 and 8 Lesson 3-1 Example 4 CYP

  11. Words Variable Equation Use Square Roots to Solve a Problem MUSIC The art work on the square picture in a compact disc case is approximately 14,161 mm2 in area. Find the length of each side of the square. Area is equal to the square of the length of a side. Let s represent the length of a side. 14,161 = s2 Lesson 3-1 Example 5

  12. = s Definition of square root 14161 Use a calculator. ENTER = 2ndc Use Square Roots to Solve a Problem 14,161 = s2 Write the equation. 119 = s Answer:The length of a side of a compact disc case is about 119 millimeters since distance cannot be negative. Lesson 3-1 Example 5

  13. A • B • C • D ART A piece of art is a square picture that is approximately 11,025 square inches in area. Find the length of each side of the square picture. A. 85 inches B. 93 inches C. 95 inches D. 105 inches Lesson 3-1 Example 5 CYP

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