AP Calculus BC 
Assignment and Test Calendar
Chapter 3 - Applications of Derivatives

Week of September 30
Monday, September 30 - Extrema on an Interval (UT 1-8)
  • 3.1 #19-27 odd, 52-58 all​

Tuesday, October 1 - Graphs of f and f'
Wednesday, October 2 - Mean Value Theorem (UT 9-12)
  • 3.2 #29-43 odd

Thursday, October 3 - Increasing and Decreasing Functions (First Derivative)
  • 3.3 #1, 17, 23, 29, 35, 39, 41, 45, 70

Friday, October 4 - Concavity (Second Derivative) (UT 13-26)
Week of October 7
Monday, October 7 - Relationship Between f, f ', and f "
Tuesday, October 8 - AP Practice
Wednesday, October 9 - Review
  • Review AP Problems

Thursday, October 10 - Quiz
  • Quiz (3.1-3.4 ONLY)​
  • Introduce Particle Motion

Friday, October 11 - Particle Motion
Week of October 14
Monday, October 14 - Optimization
  • AP FRQ Practice Questions
​
Tuesday, October 15 - Continue Optimization
  • ​UT #27-32​

Wednesday, October 16 - Review
Thursday, October 17 - Review
Friday, October 18 - Test
  • Chapter 3 Test (3.1-3.4, 3.7)
AP Standards for Chapter 3
Derivative as a function
  • Characteristics of graphs of ƒ and ƒ’
  • Relationship between the increasing and decreasing behavior of ƒ and the sign of ƒ’.
  • The Mean Value Theorem
Second derivatives
  • Corresponding characteristics of the graphs of ƒ, ƒ’, and ƒ ”.
  • Relationship between the concavity of ƒ and the sign of ƒ ”.
  • Points of inflection as places where concavity changes.
Applications of derivatives
  • Analysis of curves, including monotonicity and concavity.
  • Optimization, both absolute (global) and relative (local) extrema.
  • Derivative as a rate of change, including velocity, speed, and acceleration.