Lesson Plan: The Mean Value Theorem | Nagwa Lesson Plan: The Mean Value Theorem | Nagwa

# Lesson Plan: The Mean Value Theorem Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to interpret and use the mean value theorem.

#### Objectives

Students will be able to

• understand how Rolle’s theorem relates to the mean value theorem,
• understand the mean value theorem and when its conditions are satisfied,
• find points in an interval that satisfy the mean value theorem for a given function.

#### Prerequisites

Students should already be familiar with

• critical points of a function,
• classifying a critical point as a local minimum or maximum using the first derivative test,
• the distinction between local and absolute minima or maxima,
• the extreme value theorem,
• Rolle’s theorem.

#### Exclusions

Students will not cover

• second derivatives.

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