Lesson Plan: nth Roots: Integers Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to work out 𝑛th roots of integers, where 𝑛 is a positive integer greater than or equal to 2.

Objectives

Students will be able to

  • evaluate numerical expressions involving the 𝑛th root of an integer,
  • understand that π‘Žο€»ο‡οŽ ο‘ƒ is the inverse operation to π‘ŽοŠ; hence, (π‘Ž)=π‘ŽοŠο€»ο‡οŽ ο‘ƒ,
  • understand that if 𝑛 is even, then π‘Žο€»ο‡οŽ ο‘ƒ is positive by definition.

Prerequisites

Students should already be familiar with

  • writing powers with integer exponents as repeated multiplication,
  • evaluating powers with integer exponents.

Exclusions

Students will not cover

  • finding the 𝑛th roots of a number that is not an integer,
  • finding complex number solutions to 𝑛th root problems,
  • 𝑛th roots of algebraic expressions,
  • writing 𝑛th roots with fractional exponents.

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