Course Map for

Advanced Placement Calculus AB
March, 2006

Month

Core Standard

Learning Activity

Assessment (Homework/Quizzes-30%, Test-70% of final grade)

August-

September

Introduction to the Course

Functions, Transformations, Trig

Modeling Problems with Equations.

 

Free Response Chapter Test

Homework assessment

Warm-up quizzes

October

Limits, Continuity

Derivatives

Chain, Product, Quotient

Rules

Finding limits numerically,

algebraically, &

graphically

Finding rates of change.

Free Response Chapter Test

Homework assessment

Warm-up quizzes

November

Applying Derivatives

Initial Value Problems

Finding maxís and minís.

Optimizing values

Using rates of change.

 

Free Response Chapter Test

Homework assessment

Warm-up quizzes

December

Antiderivatives

Integrals as Riemann Sums

Fundamental Theorem

 

Finding total change

Finding area under curves

Free Response Chapter Test

Homework assessment

Warm-up quizzes

January

Apply Definite Integrals

Volume

Work

 

Visualization

Critical Thinking

Free Response Chapter Test

Homework assessment

Warm-up quizzes

February

Transcendental Functions

 

Modeling exponential

behavior

Free Response Chapter Test

Homework assessment

Warm-up quizzes

March

Advanced Integration

LíHopitalís Rule

 

 

Critical thinking

Using tables

Free Response Chapter Test

Homework assessment

Warm-up 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