Don't Forget the Differential Equations: Finishing 2005 BC4

Not explaining reasoning falls short of perfect. The article covers problem number four on the 2005 AP® Calculus BC exam. Using a similar problem, the author discusses the Euler Method procedure to answer the question. With the discussion, the writer highlights the explanation of the method, which resulted in a small percentage of perfect scores on the item in 2005.

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Instructional Ideas

  • Use the techniques presented in the article as methods for solving problems
  • Have students solve the problem and then discuss the different methods as a class
Classroom Considerations

  • Pupils should have knowledge of solving differential equations

  • Provides graphics to illustrate the concept
  • Includes different methods to approach the problem

  • None