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Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Standard #: MAFS.8.EE.1.2Archived Standard
Standard Information
General Information
Subject Area: Mathematics
Grade: 8
Domain-Subdomain: Expressions & Equations
Cluster: Level 1: Recall
Cluster: Work with radicals and integer exponents. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Related Courses
Related Resources
Formative Assessments
  • Roots and Radicals # Students are asked to solve simple quadratic and cubic equations and represent solutions using square root and cube root symbols.
  • The Root of the Problem # Students are asked to evaluate perfect square roots and perfect cube roots.
  • Dimensions Needed # Students are asked to solve problems involving square roots and cube roots.
Lesson Plans
  • Generalizing Patterns: The Difference of Two Squares # This lesson is designed to help teachers assess how well students can work with square numbers. Upon completion of the lesson, students should be able to describe and explain their findings and why results are possible or impossible. This lesson is a bridge towards proofs. The materials required for this lesson are worksheets, plain paper, large sheets of paper for making posters, and felt-tip pens. The entire lesson requires 110 minutes, broken down into a 20-minute pre-lesson, an 80-minute lesson (or two 40-minute lessons), and a 10-minute follow-up lesson.
  • Discovering Kepler's Law for the Periods of Planets # Students listen to a video that describes Kepler's determination that planetary orbits are elliptical and then will use data for the solar distance and periods of several of the planets in the solar system, then investigate several hypotheses to determine which is supported by the data.
Original Student Tutorials
Tutorials
MFAS Formative Assessments
  • Dimensions Needed # Students are asked to solve problems involving square roots and cube roots.
  • Roots and Radicals # Students are asked to solve simple quadratic and cubic equations and represent solutions using square root and cube root symbols.
  • The Root of the Problem # Students are asked to evaluate perfect square roots and perfect cube roots.
Original Student Tutorials Mathematics - Grades 6-8
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