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

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Presentation transcript:

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

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

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

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

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

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

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

x 2 =225Write the equation. Lesson 3-1 Example 4 ALGEBRA Solve x 2 = 225. Answer: The equation has two solutions, 15 and –15. Use Square Roots to Solve an Equation x=15 and x = –15Check 15  15 = 225 and (–15)  (–15) = 225 x=Definition of square root

A. A B. B C. C D. D Lesson 3-1 Example 4 CYP A.–9 B.9 C.–9 and 9 D.–8 and 8 ALGEBRA Solve x 2 = 81.

Area is equal to the square of the length of a side. Lesson 3-1 Example 5 MUSIC The art work on the square picture in a compact disc case is approximately 14,161 mm 2 in area. Find the length of each side of the square. Words Variable Equation Let s represent the length of a side. 14,161 = s 2 Use Square Roots to Solve a Problem

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

A. A B. B C. C D. D Lesson 3-1 Example 5 CYP A.85 inches B.93 inches C.95 inches D.105 inches 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.