Lesson Plan: nth Roots: Expressions and Equations Mathematics

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This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to simplify algebraic expressions and solve algebraic equations involving 𝑛th roots, where 𝑛 is a positive integer greater than or equal to 2.

Objectives

Students will be able to

simplify algebraic expressions including roots (and powers), including
- expressions in just one variable,
- expressions in many variables,
understand how to utilize moduli to respect the domain of root expressions, where is even,
solve algebraic equations that require the evaluation of an root.

Prerequisites

Students should already be familiar with

rules of exponents,
the concept that the root of is if is odd and and if is even.

Exclusions

Students will not cover

expressing roots and powers as fractional exponents.