Beginning the Year with Local Linearity

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.

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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