Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities on local linearity. The author explains how to incorporate the strategy for a better understanding of the concept.

Concepts

derivatives, slope, linear

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Additional Tags

math

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Instructional Ideas

• Use the resource to help plan a first-day activity for the AP® Calculus course
  

Classroom Considerations

• Pupils should be able to calculate slope
• Familiarity with changing the graphing calculator display windows is necessary
  

Pros

• Provides suggestions for next steps
• Includes a brief overview of the importance of local linearity
  

Cons

• No actual lesson content or handouts