Enduring Understanding

 

The student will understand:

  • Students should develop a deeper understanding of very small and very large numbers and a variety of ways to represent them.
  • Representations should be used to model and interpret physical, social, and mathematical phenomena
  • Mathematical thinking should be communicated coherently and clearly to teachers, peers, and others
  • Students should be able to judge the meaning, utility, and reasonableness of the results of symbol manipulation, including those carried out by technology.
  • Functions should be analyzed by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior.
  • Students should be able to use the language of mathematics to express mathematical ideas incisively.

Content Topics

 

Unit 1

The Definite Integral

 

Unit 2

Differential Equations & Mathematical Modeling

 

Unit 3

Applications of Definite Integrals

 

Unit 4

AP Exam Practice & Review