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

Week of September 30
Thursday, September 30 - Graphs of f and f'
Friday, October 1 - Increasing and Decreasing Functions (First Derivative)
  • 3.3 #1, 17, 23, 29, 35, 39, 70
Week of October 4
Monday, October 4 - Extrema on an Interval (UT 1-8)
  • 3.1 #19-27 odd, 52-58 all​

Tuesday, October 5 - Mean Value Theorem (UT 9-12)
  • 3.2 #29-43 odd

Wednesday, October 6 - Concavity (Second Derivative) (UT 13-26)
  • 3.4 #9, 15, 21, 25, 33, 41, 60, 63

​Thursday, October 7 - Relationship Between f, f ', and f "
​Friday, October 8 - No School
  • Teacher Professional Development
Week of October 11
Monday, October 11 - No School
  • Indigenous Peoples' Day

Tuesday, October 12 - AP Practice
Wednesday, October 13 - No Class
  • PSAT Testing

Thursday, October 14 - Review
Friday, October 15 - Quiz
  • Quiz 3.1-3.4
Week of October 18
Monday, October 18 - Particle Motion
Tuesday, October 19 - Optimization
  • 3.7 #13, 19, 22, 29
​​
Wednesday, October 20 - Review
Thursday, October 21 - Review
Friday, October 22 - 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.