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.


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.


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.


Students will not cover

  • second derivatives.

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