This lesson introduces The Intermediate Value Theorem. The lesson begins by reviewing the limit definition of continuity. Students then learn how to recognize continuous functions of various sorts. Then the Intermediate Value Theorem is given and several applications are demonstrated.

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

Detailed answer keys are included.

The topics covered include:
-Review: Limit Definition of Continuity
-Combining Continuous Functions
-Types of Continuous Functions
-Compositions of Continuous Functions
-Absolute Values of Continuous Functions
-The Intermediate Value Theorem
-Understanding the Intermediate Value Theorem
-Applying the Intermediate Value Theorem

In this product, you will find the following:
-Powerpoint Presentation (22 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
-Infinite Limits and Limits at Infinity
-Limits of Transcendental Functions
-Continuity
-The Intermediate Value Theorem

Save money and buy all seven lessons as a bundle:
-Limits and Continuity Unit Bundle