This lesson introduces the concept of continuity. Continuous functions are explored conceptually and also through the limit definition. Students learn about the three types of discontinuity: jump, removable, and infinite. Also, students learn about intervals of continuity.

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

Detailed answer keys are included.

The topics covered include:
-Understanding Continuity
-The Limit Definition of Continuity
-Using the Limit Definition of Continuity
-Types of Discontinuity
-Classifying Discontinuities
-Constructing a Graph with Continuity Conditions
-Finding a Formula with Continuity Conditions
-Intervals of Continuity
-Determining Intervals of Continuity
-Working with Continuity

In this product, you will find the following:
-Powerpoint Presentation (24 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