AP Calculus AB Archive

* Lesson recordings are from 2020-21, so they may not completely match the lessons from this year.

Class Activities

Lesson Recordings*

Homework Assignment

Linear, Polynomial, and Exponential Functions (1.1, 1.2, 1.5)

Video

p. 12:  17-18, 23-27, 39-42, 74, 76-77, 79, 82

p. 25:  32-33, 35, 43a

p. 58:  33, 39-43 odd, 56-57, 61-62

Trigonometry and Combining Functions (1.3, 1.4)

Video

p. 37:  23-33 odd, 77-87 odd

p. 46:  16, 57-71 odd, 76-78

Inverse Functions and Logarithms (1.6, 1.7)

Video

p. 73:  21-29 odd, 34-36, 39-43 odd, 53-63, 70-72, 77-79 odd, 94, 101-113 odd

p. 78:  5-10, 13

Limits

Video

p. 103:  25-36

p. 129:  17 (a-d), 25, 27, 29-35, 45-52

Limits, Part 2

Video

p: 102:  7-8, 10, 11-12 (skip f), 14-15, 39-51

Asymptotes and Continuity

Video

p. 130:  63-68, 80-82

p. 143:  17-18, 27-32, 35 (use calculator), 44-45, 50-51, 57-60

Velocity and Tangents

Video

p. 89:  8, 13-15

p. 174:  30-33, 63

The Derivative (3.1)

Video

p. 173:  14-17 (NC on 16), 22-25 (NC on 22), 34-37, 41-42, 47-48 (NC), 57-58, 68-71

The Derivative Function (3.2)

Video

p. 188:  7-9, 11-19, 25-27, 30-34, 53-56, 67-70, 74-76

Interpreting Derivatives

Video

p. 176:  73-78

p. 189:  20-24, 47-48, 52

Higher Order Derivatives

Video

p. 190: 41-42, 59-61, 63, 65-66

Derivatives of Polynomials and Exponents (3.3)

Video

p. 203: 11-39 odd, 45-49 odd, 61-65, 70-76, 86-87, 91-92

Product and Quotient Rules (3.4)

Video

p. 213: 6-7, 11-41 odd, 42-45, 47-51 odd (only part a), 54-66, 75

Derivatives of Trig Functions (3.5)

Video

p. 223:  5, 9-25 odd, 45-51 odd, 59-62, 67-68

p. 206:  96-102

Chain Rule (3.6)

Video

p. 234: 7-8, 17-41 odd (skip 35), 61, 63, 68-78, 82-85, 87

Derivatives of Logs and Inverse Functions (3.7, 3.8)

Video

p. 248:  41-51 odd

p. 259:  7-31 odd, 44, 56-59, 62-66, 68-71

Implicit Differentiation

Video

p. 248: 9-16, 19-35 odd, 36-37, 55-61 odd, 63-70, 79-80, 106-112

Motion Problems (3.9)

Video

p. 270: 1-10

Linear Approximation (3.11)

Video

p. 285: 1-4, 7-15, 17-19, 21-22

L’Hopital’s Rule

Video

p. 347: 5, 12, 13-39 odd (skip 33), 43, 73, 81

Related Rates

Video

p. 279: 1-11, 13-19

Practice Related Rates

 

p. 280: 20-21, 23-29, 31-32, 34-35, 38

Graphing

Video

p. 304:  35-49 odd

p. 331:  11-12, 14-15, 17-25 odd, 26-29, 45-53

Graphing, Part 2

Video

p. 304:  21-33 odd, 53-67 odd, 69-72, 79-80

p. 334:  66, 70-71, 82, 89, 98

p. 363:  69-73

Optimization

Video

p. 374: 6-8, 11-14, 20, 24, 48

Practice Optimization

 

p. 374: 18, 22, 23, 27, 34, 42, 49

MVT, IVT, EVT

Video

MVT, IVT, EVT Worksheet (solutions)

Riemann Sums (5.2)

Video

p. 411: 8-9, 11-12, 15-16, 21, 23, 32-33, 41-42

The Definite Integral (5.3)

Video

p. 428:  10-17, 32, 34, 40-41, 43-53 odd, 58-62, 64-65, 67-68

p. 456:  68-69, 72-73, 76

FTOC

Video

p. 455:  58-66, 75-81 odd, 82

p. 506:  17-27

Antiderivatives (5.1)

Video

p. 392:  5-51 odd, 52-56, 60-63, 67-71 odd, 74

More with Integrals and FTOC Revisited (5.5)

Video

p. 454:  9-17 odd, 21-49 odd, 51-53, 70-71

DEs and Slope Fields

Video

p. 624:  5-9 odd, 14-20, 22, 28-29, 42-44, 48-51

p. 615:  7-11, 13-16, 19-23 odd, 40-41, 43 (a-b)

Second FTOC

Video

p. 442:  11-23 odd, 49-53, 55-56, 71-75 odd, 76-81, 86

p. 505:  9-14

Substitution

Video

p. 467:  5-53 EOO

Substitution, Part 2

Video

p. 467:  7-55 EOO, 61-71 odd, 75-79 odd

Parts

Video

p. 550:  9-21 odd, 29-39 odd, 41-47, 81

Practice Integration (answers)

 

p. 471:  11-37 odd (skip 21, 25)

p. 601:  1, 3-4, 6, 9-10, 12, 25, 37

Rectilinear Motion (6.4)

Video

p. 515:  11-19, 21-34

Area (6.1)

Video

p. 487:  5-6, 9-14, 17-20, 36-39, 49-55 odd, 58, 67, 71-72

More Area and Other Applications

Video

p. 487:  7-8, 15-16, 21-31 odd, 32, 40-44, 61, 73

p. 494:  7-15 odd, 20-21, 23-24

p. 538:  9-15 odd, 21, 31

Volume of Rotations (6.5)

Video

p. 528:  9-25 odd, 39, 41-44

Volume of Known Cross Section (6.5)

Video

p. 530:  45-46, 49-52, 58-60, 63-64, 74-76

Return to Mr. Rosen's Class Website