Lesson Plan: Absolute Extrema | Nagwa Lesson Plan: Absolute Extrema | Nagwa

Lesson Plan: Absolute Extrema Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the absolute maximum and minimum values of a function over a given interval using derivatives.

Objectives

Students will be able to

  • recall the extreme value theorem,
  • determine the absolute maximum and minimum values of the function by comparing the values of the local extrema and the endpoints.

Prerequisites

Students should already be familiar with

  • differentiation,
  • finding critical points,
  • local extrema,
  • endpoints of a function over an interval,
  • the concept of continuity (not necessarily the formal definition).

Exclusions

Students will not cover

  • open intervals,
  • infimum and supremum,
  • analysis in cases where the second derivative does not exist.

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