Calculus AB/BC - Connecting Differentiability and Continuity

Despite what you thought, you can differentiate between continuity and differentiability. Using a short lesson, pupils learn how differentiability and continuity relate to each other. It provides three descriptions of when a function is not differentiable. Learners practice finding where functions are not continuous and also where they are but not differentiable.

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Instructional Ideas
  • Ask students to create functions that follow specific criteria, such as being continuous but not differentiable at x =4
Classroom Considerations
  • Requires knowledge of what makes a function continuous
  • Fourth installment in an 11-part lesson
Pros
  • Includes a packet for students to take notes along with examples
  • Provides wait time when asking a question
  • Contains test prep questions
Cons
  • None