This lesson starts with a review of secant lines and tangent lines, then explores several different examples of average and instantaneous rates of change. Students notice how secant lines can be used to find the tangent line.

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

Detailed answer keys are included.

The topics covered include:

-Review: Secant Lines and Tangent Lines

-Finding the Instantaneous Rate of Change

-Calculating Rates of Change

-Average Velocity and Instantaneous Velocity

-Finding the Instantaneous Velocity

-Cost of Production

-Temperature

-Population

In this product, you will find the following:

-Powerpoint Presentation (31 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 Derivatives. The complete unit includes the following:

-Rates of Change

-The Derivative Function

-Derivatives of Polynomials

-Graphing the Derivative

-Higher Derivatives

-Differentiability