Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson plan begins with looking at limits of simple linear and rational functions, and leads to the definition of the derivative. Calculating the derivative of a function using two different methods provides a simplification of the definition of the derivative.

Concepts

limits, derivatives, slope, rate of change, substitution

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Additional Tags

math

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Instructional Ideas

• Have pupils work the independent problems on individual white boards
• Prompt class members create graphic organizers that contains the definition and worked examples

Classroom Considerations

• Include the problems on a separate sheet without the answers

Pros

• The lesson contains an example of a problem that is similar to those on the AP exam
• The examples and the answers clearly show each step in solving the problems

Cons

• None