AP Calculus BC 
Assignment and Test Calendar
Chapter 4 - Integration

Week of October 21
Monday, October 21 - Antiderivatives

• 4.1 #11-31 odd, 35, 37, 51

Tuesday, October 22 - Left and Right Hand Approximations of Area

• Numerical Rates Story Problems
• Riemann Sums Practice Problems

Wednesday, October 23 - Midpoint and Trapezoidal Rule 

• Riemann Sums Worksheet + Answer Key

Thursday, October 24 - Properties of Definite Integrals

• Video 1 -- Video 2 -- Video 3 -- Video 4
• Definite Integrals: 4.3 #13, 17, 19, 25, 33, 35, 41, 43, 47
• Ch. 4 Quiz Review - Answer Key

Friday, October 25 - Quiz

• Quiz - Antiderivatives, Riemann Sums, and Definite Integral Properties

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Week of October 28
Monday, October 28 - 1st and 2nd Fundamental Theorems of Calculus

• FTC #1 (Evaluating Definite Integrals)
• FTC #2 (with Chain Rule)​

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Tuesday, October 29 - 1st and 2nd Fundamental Theorems of Calculus

• In-Class: 4.4 #15, 27, 33, 35, 41, 66, 73, 81-91 odd
• Warm Up + Practice FRQ

Wednesday, October 30 - Average Value of a Function

• MVT for Integrals
• Average Value of a Function Worksheet - Answer Key
• Optional Extra Practice: 4.4 #51-55 odd, 59, 63, 95, 97, 103​​

Thursday, October 31 - 1st and 2nd Fundamental Theorems of Calculus AP Practice

• Fundamental Theorem AP MC Practice - Answer Key

Friday, November 1 - 1st and 2nd Fundamental Theorems of Calculus AP Practice

• Mid-Chapter AP FRQ Practice + Answer Key​ ​

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Week of November 4
Wednesday, November 6 - Indefinite Integration by u-Substitution 

• 4.5 #7, 11, 17, 23, 33, 37, 44

Thursday, November 7 - Definite Integration by Substitution Practice

• 4.5 #45, 55, 59, 61, 63, 67, 79​

Friday, November 8 - FRQ Review Day 1

• AP FRQ Review + Answer Key ​

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Week of November 11
Monday, November 11- FRQ Review Day 2

• AP FRQ Review Part 2 - Answer Key​ (Skip #4c)

Tuesday, November 12 - MC Review Day

• ​AP MC Review + Answer Key
• Delta Math for Extra Practice

Wednesday, November 13 - Test

• Chapter 4 Test (Half Calc; Half No Calc)

Thursday, November 14 - Ch 4 Recap

• Review FRQ Questions - Answer Key

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AP Standards for Chapter 4
6.1 Exploring Accumulations of Change
6.2 Approximating Areas with Riemann Sums
6.3 Riemann Sums, Summation Notation, and Definite Integral Notation
6.4 The Fundamental Theorem of Calculus and Accumulation Functions
6.5 Interpreting the Behavior of Accumulation Functions Involving Area
6.6 Applying Properties of Definite Integrals
6.7 The Fundamental Theorem of Calculus and Definite Integrals
6.8 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
6.9 Integrating Using Substitution