Learning Recommendations:  C average in Pre-Calculus

STUDENTS WHO SELECT THIS COURSE ARE COMMITTING TO TAKING THE AP EXAM IN THE SPRING.

General Description: This one-year course develops the topics of limits, derivatives, and integration and their formulas for algebraic and transcendental functions. This class follows the College Board AP Calculus AB course guidelines for preparation of the AP Calculus AB exam.

Content:

Topics that students will explore and understand in the course include:

I. Functions, Graphs, and Limits

  • Analysis of graphs
  • Limits of functions (including one-sided limits)
  • Asymptotic and unbounded behavior
  • Continuity as a property of functions

II. Derivatives

  • Concept of the derivative
  • Derivative at a point
  • Derivative as a function
  • Second derivatives
  • Applications of derivatives
  • Computation of derivatives

III. Integrals

  • Interpretations and properties of definite integrals
  • Applications of integrals
  • Fundamental Theorem of Calculus
  • Techniques of antidifferentiation
  • Applications of antidifferentiation
  • Numerical approximations to definite integrals

Strategies:

 Students will learn through a combination of :

  • Direct instruction
  • Small group investigations
  • Teacher-led investigations

Equipment to be provided by student:   Graphing Calculator,  Fee for AP Exam.