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6-8 Accelerated 7 Unit 8 Lesson 3

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K-5 Math •6-8 Math 9-12 Math

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Accelerated 6 •Accelerated 7

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Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 •Unit 8 Unit 9

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Lesson 1 Lesson 2 •Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15

K-5
6-8
9-12

Accelerated 6
Accelerated 7

Grade 6
Grade 7
Grade 8

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15

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Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

IM 6-8 Math v.360, an IM v.360 curriculum, is a derivative of IM 6-8 Math.

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Adaptations to add additional English language learner supports are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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Unit 8, Lesson 3

Square Roots

Accelerated 7

Practice

Problem 1

Square A is smaller than Square B. Square B is smaller than Square C.

The three squares’ side lengths are \(\sqrt{26}\), 4.2, and \(\sqrt{11}\).

There are 3 differently sized squares labeled, from left to right, “A,” “B” and “C.” The squares are arranged from smallest to largest, so that “A” is the smallest square and “C” is the largest.

What is the side length of Square A? Square B ? Square C? Explain how you know.

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Lesson 3 Resources

Student Materials

Problem 2

Each grid square represents 1 square unit. What is the exact side length of the shaded square? Estimate the side length of the shaded square to the nearest tenth.

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Problem 3

A square has a side length of \(\sqrt{30}\) centimeters. Select all the expressions that equal the area of this square in square centimeters.

30
\(2 \boldcdot \sqrt{30}\)
90
\(\sqrt{60}\)
\(\sqrt{30} \boldcdot \sqrt{30}\)
\(\sqrt{30}^2\)

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Problem 4

ForLesson 2: Side Lengths and Areas

Find the length of a side of a square if its area is:

81 square inches
\(\frac{4}{25}\) square centimeters
0.49 square units
\(m^2\) square units

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Problem 5

ForLesson 20: Fitting a Line to Data

The scatter plot shows the heights (in inches) and three-point percentages for different basketball players last season.

Circle any data points that appear to be outliers.
Compare any outliers to the values predicted by the model.

Scatter plot with line of best fit drawn. Horizontal axis, height in inches, scale 70 to 90, by 5’s. Vertical axis, 3 point percentage, scale 0 to 60, by 15’s.

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