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Page 1: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots
Page 2: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

Main Idea and New Vocabulary

NGSSS

Key Concept:Square Root

Example 1:Find Square Roots

Example 2:Find Square Roots

Example 3:Find Square Roots

Example 4:Find Square Roots

Example 5: Use Square Roots to Solve an Equation

Example 6: Real-World Example

Five-Minute Check

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Page 3: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

• Find square roots of perfect squares.

• perfect square

• square root

• radical sign

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Page 4: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.

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Page 5: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots
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Page 6: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

Find Square Roots

Find .

Answer: 9

Find the positive square root of 81; 92 = 81.

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Page 7: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

A. 5

B. 10

C. –10 or 10

D. no real square root

Find .

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Page 8: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

Find Square Roots

Find .

Find both square roots of 1.44; 1.22 = 1.44.

Answer: 1.2

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Page 9: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

A. 6

B. 0.6

C. 0.6

D. 0.06

Find .

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Page 10: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

Find Square Roots

Find .

Answer:

Find the negative square root of

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Page 11: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

Find .

A.

B.

C.

D. no real square root

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Page 12: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

Find Square Roots

Find .

Answer: There is no real square root because no number times itself is equal to –49.

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Page 13: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

A. –11

B. 11 or –11

C. –1.1

D. no real square root

Find .

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Page 14: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

Use Square Roots to Solve an Equation

ALGEBRA Solve x2 = 225.

x2 = 225 Write the equation.

x = Definition of square root

Answer: The equation has two solutions,

15 and –15.

x = 15 and –15 Check 15 • 15 = 225 and (–15)(–15) = 225

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Page 15: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

A. 20

B. 20 and –20

C. 40 and –40

D. no real square root

ALGEBRA Solve n2 = 400.

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Page 16: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

PUZZLE A square puzzle has an area of 35,721 square millimeters. What is the length of a side of the square?

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Page 17: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

s2 = 35,721 Write the equation.

35,721 = 3 • 3 • 3 • 3 • 3 • 3 • 7 • 7 Find the prime factors.

= (3 • 3 • 3 • 7)(3 • 3 • 3 • 7) Regroup into two equal factors.

Definition of square root

To find , find two equal factors of 35,721.

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Page 18: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

Answer: Since distance cannot be negative, the

length of each side is 189 millimeters.

So, s = 3 • 3 • 3 • 7 or 189.

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Page 19: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

A. 57 ft

B. 114 ft

C. 228 ft

D. 6,498 ft

MAZES A square corn maze has an area of 12,996 square feet. What is the length of a side of the square?

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Page 20: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

A. –9

B. 9

C. –9 or 9

D. 3

Find .

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Page 21: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

A. –12

B. 12

C. –12 or 12

D. no real square root

Find .

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Page 22: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

A. –4

B. 4

C. 4 or –4

D. –16

Solve q2 = 16.

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Page 23: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

Solve .

A.

B.

C.

D.

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Page 24: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

A. –6

B. 3.6

C. 6

D. 1,296

Find the positive square root of 36.

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Page 25: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

A. 13

B. 14

C. 15

D. 25

The chairs in the multi-purpose room of a school need to be arranged in a square. There are 225 chairs. How many chairs should be in each row?

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Page 26: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots
Page 27: Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots Example 2:Find Square Roots Example 3:Find Square Roots

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