Mr. Rizzi - Stoney Creek High School
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  • AP Calculus BC
    • Parametric and Polar (Ch 10)
    • Past Chapters >
      • Limits (Ch. 1)
      • Differentiation (Ch. 2)
      • Applications of Derivatives (Ch. 3)
      • Integration (Ch. 4)
      • Logs, Exponentials, and Other Transcendentals (Ch. 5)
      • Differential Equations (Ch. 6)
      • Applications of Integration (Ch. 7)
      • Integration Techniques, L'Hopital's Rule, and Improper Integrals (Ch. 8)
      • Infinite Series (Ch. 9)
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AP Calculus BC 
Assignment and Test Calendar
Chapter 3 - Applications of Derivatives

Week of September 30
Thursday, September 30 - Graphs of f and f'
  • Graphs of f and f ' Activity
  • Graphs of f and f ' Homework

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 "
  • Summary of f, f ', and f ''​
  • First and Second Derivative T/F Worksheet + Answer Key
  • Concavity and Inflection Concept Questions + Answer Key

​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
  • Practice AP Problems - Answer Key

Wednesday, October 13 - No Class
  • PSAT Testing

Thursday, October 14 - Review
  • 3.1-3.4 Review - Multiple Choice

Friday, October 15 - Quiz
  • Quiz 3.1-3.4

Week of October 18
Monday, October 18 - Particle Motion
  • Particle Motion Worksheet

Tuesday, October 19 - Optimization
  • 3.7 #13, 19, 22, 29
​​
Wednesday, October 20 - Review
  • ​AP Free Response Practice (w/ Answer Key)

Thursday, October 21 - Review
  • AP Multiple Choice Practice (w/ Answer Key)
  • UT Quest due TONIGHT at midnight!

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.
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