This lesson introduces the notion of a secant line and illustrates how secant lines can be used to find approximations to tangent lines. It also includes a discussion of how the slope of the secant line can be interpreted as the average velocity on a position versus time graph.
There are several review sections on lines for students that may need a bit of a reminder on how to find the slope and how to write the equation of a line.
This lesson is appropriate for both AP Calculus AB and BC.
Detailed answer keys are included.
The topics covered include:
-Definition of a Secant Line
-Review of Slope
-Review of Point-Slope Form and Slope-Intercept Form
-Finding the Equation of a Secant Line
-Interpretation of a Secant Line
-Definition of a Tangent Line
-Using Secant Lines to Find a Tangent Line
In this product, you will find the following:
-Powerpoint Presentation (27 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 Limits and Continuity. The complete unit includes the following:
-Secant Lines and Tangent Lines
-Finding Limits Graphically
-Finding Limits Algebraically (coming soon!)
-Infinite Limits and Limits at Infinity (coming soon!)
-Limits of Transcendental Functions (coming soon!)
-Continuity (coming soon!)
-The Intermediate Value Theorem (coming soon!)