This lesson introduces the concepts of absolute maxima and minima, as well as relative maxima and minima. Students learn to identify extrema graphically. Then, students learn about critical numbers and they use them to find extrema on a closed interval.

This lesson is appropriate for both AP Calculus AB and BC.

Detailed answer keys are included.

The topics covered include:

-Absolute Maximum and Minimum

-Relative Maximum and Minimum

-The Extreme Value Theorem

-Fermat's Theorem

-Critical Numbers

-Extrema on a Closed Interval

-Practice with Finding Extrema on a Closed Interval

In this product, you will find the following:

-Powerpoint Presentation (29 slides)

-Guided Notes (4 pages, a "filled in" copy is also included)

-Do Now Slips (4 slips on one page, answers included)

-Exit Ticket Slips (4 slips on one page, answers included)

-Homework Assignment (2 pages, a detailed answer key is included)

This lesson is part of a larger unit on Applications of Derivatives. The complete unit includes the following:

-Linear Approximation and Differentials

-Related Rates

-Maximum and Minimum Values

-The Mean Value Theorem

-The First and Second Derivative

-L'Hospital's Rule

-Curve Sketching

-Optimization Problems

-Motion Problems

-Antiderivatives