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

Week of September 25
Wednesday, September 27 - Increasing and Decreasing Functions (First Derivative)
  • 3.3 #1, 17, 23, 29, 35, 39, 70

Thursday, September 28 - Extrema on an Interval (UT 1-8)
  • 3.1 #19-27 odd, 52-58 all​

Friday, September 29 - Graphs of f and f'
Week of October 2
Monday, October 2 - Mean Value Theorem (UT 9-12)
  • 3.2 #29-43 odd

​Tuesday, October  3 - Concavity (Second Derivative) (UT 13-26)
  • 3.4 #9, 15, 21, 25, 33, 41, 60, 63

Wednesday, October 4 - Relationship Between f, f ', and f "
​Thursday, October 5 - Particle Motion
Friday, October 6 - No School
  • Teacher Professional Development
Week of October 9
Monday, October 9 - No School
  • Indigenous Peoples' Day

​Tuesday, October 10 - AP Practice ​
Wednesday, October 11 - Quiz
  • Quiz 3.1-3.4

Thursday, October 12 - Particle Motion
Friday, October 13 - Optimization
  • 3.7 #13, 19, 22, 29​
Week of October 16
Monday, October 16 - Review
Tuesday, October 17 - Review
Wednesday, October 18 - Review
  • Review
​
Thursday, October 19 - 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.