Lesson 3: Square and cube roots
Duration of Days: 4
Lesson Objective
Students will be able to use square root and cube root symbols to represent solutions to equations and evaluate square roots of small perfect squares and cube roots of small perfect cubes.
How can we use square roots and cube roots to solve equations of the form x^2 = p and x^3 = p?
What distinguishes a perfect square from a perfect cube?
How do you evaluate the square root of a small perfect square or the cube root of a small perfect cube without a calculator?
Square Root
Cube Root
Perfect Square
Perfect Cube
Radical
8.EE.A.2: Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number.
Evaluate square roots of small perfect squares and cube roots of small perfect cubes.
Description: A lesson focused on understanding the inverse relationship between powers and roots for squares and cubes.
Purpose: To provide students with the foundational skills needed to solve quadratic and cubic equations and to identify irrational square roots.
DOK Level: Level 2 (Skill/Concept) – Evaluating roots and solving basic equations.
Use visual models to represent square and cube volumes to help students conceptualize the "root" of a number, and provide a list of common perfect squares and cubes for quick reference.
Exit Tickets
Student Work
Observations