Lesson Plan: Absolute Extrema Mathematics • 12th Grade

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.