Course
Map for
Advanced Placement Calculus AB
March,
2006
Month 
Core Standard 
Learning Activity 
Assessment (Homework/Quizzes30%, Test70% of final grade) 
August September 
Introduction to
the Course Functions, Transformations, Trig 
Modeling
Problems with Equations.

Free Response Chapter
Test Homework
assessment Warmup quizzes 
October 
Limits,
Continuity Derivatives Chain, Product, Quotient Rules 
Finding limits
numerically, algebraically, & graphically Finding rates of change. 
Free Response Chapter
Test Homework
assessment Warmup quizzes 
November 
Applying
Derivatives Initial Value Problems 
Finding max’s
and min’s. Optimizing values Using rates of change.

Free Response Chapter
Test Homework
assessment Warmup quizzes 
December 
Antiderivatives Integrals as Riemann Sums Fundamental Theorem

Finding total
change Finding area under curves 
Free Response Chapter
Test Homework
assessment Warmup quizzes 
January 
Apply Definite
Integrals Volume Work

Visualization Critical Thinking 
Free Response Chapter
Test Homework
assessment Warmup quizzes 
February 
Transcendental
Functions

Modeling
exponential behavior 
Free Response Chapter
Test Homework
assessment Warmup quizzes 
March 
Advanced
Integration L’Hopital’s Rule

Critical
thinking Using tables 
Free Response Chapter
Test Homework
assessment Warmup quizzes 
April 
Review course
for AP Test 
Work
Sample AP Examinations 
Multiple choice sections Free Response sections 
May June 
AP Test Research Paper

Prominent Mathematician
in History 
AP Exam Research Paper Presentation 