AP Calculus BC 
Assignment and Test Calendar
Chapter 4 - Integration

Week of October 24
Thursday, October 27 - Left and Right Hand Approximations of Area

• Numerical Rates Story Problems

Friday, October 28 - Midpoint and Trapezoidal Rule 

• Riemann Sums Worksheet + Answer Key

---

Week of October 31
Monday, October 31 - Properties of Definite Integrals (UT 9-13, 20)

• Video 1 -- Video 2 -- Video 3 -- Video 4
• Definite Integrals: 4.3 #13, 17, 19, 25, 33, 35, 41, 43, 47

Tuesday, November 1 - Antiderivatives and Indefinite Integration (UT 1-3, 5, 7-8, 21-22)

• Delta Math for Extra Quiz Practice​

Wednesday, November 2 - Quiz

• Quiz - Riemann Sums and Definite Integral Properties

​
Thursday, November 3 - 1st and 2nd Fundamental Theorems of Calculus (UT 14-17, 19, 23-25)

• FTC #1 (Evaluating Definite Integrals)
• FTC #2 (with Chain Rule)
• 4.4 #15, 27, 33, 35, 41, 66, 73, 81-91 odd

Friday, November 4 - 1st and 2nd Fundamental Theorems of Calculus

• Warm Up + Practice FRQ​

---

Week of November 7
Monday, November 7 - 1st and 2nd Fundamental Theorems of Calculus AP Practice

• Fundamental Theorem AP MC Practice - Answer Key

Tuesday, November 8 - No School

• Teacher Professional Development

​
Wednesday, November 9 - Average Value of a Function

• MVT for Integrals
• Average Value of a Function
• 4.4 #51-55 odd, 59, 63, 95, 97, 103​​

Thursday, November 10 - 1st and 2nd Fundamental Theorems of Calculus AP Practice

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

Friday, November 11 - Indefinite Integration by u-Substitution (UT 4, 18, 26-32)

• 4.5 #7, 11, 17, 23, 33, 37, 44​

---

Week of November 14
Monday, November 14 - Definite Integration by Substitution Practice

• 4.5 #45, 55, 59, 61, 63, 67, 73, 79

​
Tuesday, November 15 - FRQ Review Day 1

• AP FRQ Review + Answer Key

​
Wednesday, November 16 - FRQ Review Day 2

• AP FRQ Review + Answer Key

Thursday, November 17 - MC Review Day

• AP MC Review + Answer Key
• Delta Math for Extra Practice
• UT Quest Due at Midnight

​
Friday, November 18 - Test

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

---

AP Standards for Chapter 4
Definite Integrals

• Definite integral as a limit of Riemann sums.
• Definite integral of the rate of change of a quantity over an interval interpreted as the change of the quantity over the interval [a, b].
• Basic properties of definite integrals (examples include additivity and linearity).

Fundamental Theorem of Calculus

• Use of the Fundamental Theorem to evaluate definite integrals.
• Use of the Fundamental Theorem to represent a particular antiderivative, and the analytical and graphical analysis of functions so defined.

Techniques of Antidifferentiation

• Antiderivatives following directly from derivatives of basic functions.
• Antiderivatives by substitution of variables (including change of limits for definite integrals)
• Finding specific antiderivatives using initial conditions, including applications to motion along a line.