This lesson emphasizes an intuitive approach to limits. Students are shown how to find two-sided and one-sided limits from a graph. They are also asked to draw a graph that meets certain limit conditions.
The use of a calculator to find limits is introduced, along with a word of caution.
This lesson is appropriate for both AP Calculus AB and BC.
Detailed answer keys are included.
The topics covered include:
-Limits and Tangent Lines
-Finding a Limit of a Function
-Finding Limits from a Graph
-When Limits Fail to Exist
-Satisfying Limit Conditions
-Using a Calculator to Find Limits
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
-The Intermediate Value Theorem (coming soon!)