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Tide-Pool Survey: Roots in the Field Notebook worksheet preview

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Tide-Pool Survey: Roots in the Field Notebook

Practice square and cube roots, solve square and cube equations, and explain why √2 is irrational through a tide-pool survey.

Grade 8MathInteractive · Printable

Aligned to8.EE.A.2

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Circle the answer, Short answer

About this worksheet

What students practice

  • Students evaluate square roots and cube roots of small perfect squares and cubes.
  • Students solve equations of the forms x² = p and x³ = p, including contextual problems.
  • Students recognize that √2 is irrational and distinguish exact roots from decimal approximations.

How to use

Use for independent practice after introducing square and cube roots. Have students compare all real solutions of equations before discussing the final explanation.

Curriculum

Common Core standard covered

8.EE.A.2

Use square and cube root symbols to solve x^2 = p and x^3 = p, find roots of small perfect squares and cubes, and know root 2 is irrational.

Preview

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Tide-Pool Survey: Roots in the Field Notebook

Evaluate roots and solve equations while planning a marine biology survey.

1. Field Notebook Warm-Up

Prepare for the tide-pool species survey by evaluating each root. The symbol √ means the nonnegative square root.

1.

√121 =  

2.

∛343 =  

3.

∛(−64) =  

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