Unit 8 - Lesson 13 - Grade 8: Illustrative Mathematics

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Grade 8 Unit 8
Lesson 13: Cube Roots
CC BY 2021 Illustrative MathematicsĀ®
Grade 8 Unit 8
Lesson 13: Cube Roots
CC BY 2021 Illustrative MathematicsĀ®
Lesson: Cube Roots

True or False: Cubed (Warm Up)

Decide if each statement is true or false.
1.

2.

3.

4.

5.

Cube Root Values

What two whole numbers does each cube root lie between? Be prepared to explain your reasoning.
6.

7.

8.

9.

Solutions on a Number Line

The numbers x, y, and z are positive, and:

x3 = 5 y3 = 27 z3 = 700
10.

  • Plot x, y, and z on the number line. Be prepared to share your reasoning with the class.
  • Plot \sqrt[3]{2} on the number line.

Cool Down: Different Types of Roots

Different Types of Roots

Lin is asked to place a point on a number line to represent the value of \sqrt[3]{49} and she writes:

11.

Where should \sqrt[3]{49} actually be on the number line? How do you think Lin got the answer she did?

12.

How do you think Lin got the answer she did?