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AP Calculus  

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Description:
Teachers:  Janna Bailey & TJ Scheithauer.

Students should be able to:

  • work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal. They should understand the connections among these representations.
  • understand the meaning of the derivative in terms of a rate of change and local linear approximation and they should be able to use derivatives to solve a variety of problems.
  • understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and should be able to use integrals to solve a variety of problems.
  • understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
  • communicate mathematics both orally and in well-written sentences and should be able to explain solutions to problems.
  • model a written description of a physical situation with a function, a differential equation, or an integral.
  • use technology to help solve problems, experiment, interpret results, and verify conclusions.
  • determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.
  • develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.

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