Lesson Plan: Average Value of a Function Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use the mean value theorem for integrals to find the average value of a function.

Objectives

Students will be able to

  • express the average value of a function using a definite integral,
  • calculate average values of functions graphically,
  • calculate average values of functions using integration.

Prerequisites

Students should already be familiar with

  • the fundamental theorem of calculus,
  • integration of polynomial functions,
  • integration by substitution.

Exclusions

Students will not cover

  • calculating the area between a curve and a line that is not the 𝑥-axis.

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