AP Test Prep

Calculus AB/BC - Using the Mean Value Theorem

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At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate Value Theorem. To finish, scholars work exercises that require them to determine which theorem to use to justify a conclusion about a function.

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Instructional Ideas
  • Lead a discussion on how to distinguish when to use the Mean Value Theorem versus the Intermediate Value Theorem
Classroom Considerations
  • Requires individuals to know how to calculate the derivative of functions
  • Part one of the 14-installment Analytical Applications unit
  • This video is hosted on YouTube
Pros
  • Contains test prep problems using the topic
  • Provides additional practice problems to ensure mastery
Cons
  • None