AP Calculus AB 2021-2022

CHAPTER 2

LIMITS

A DayB DaySectionLesson NameHomework
8/108/11Welcome to Calculus
AP Calculus AB Syllabus
1. Rational Functions Review Worksheet
8/128/132.1Introduction to Limits
2. Trig Quiz
3. Pg 66 #7-19 all
8/168/172.1Finding Limits Analytically
4. Rational Functions Quiz
5. Limits Worksheet #1
8/188/192.1/2.3One Sided Limits and Continuity6. Pg 67 #44-46, 49, 57, 58, 73-76. Pg 84 #11-13, 47, 49
8/208/232.2Limits Involving Infinity7. Limits Worksheet #2
8/248/25Limits Review8. Limits DeltaMath – Due 8/26 (A) or 8/27 (B) at 8am
8/268/272.49. Limits Test

CHAPTER 3

DERIVATIVES

A DayB DaySectionLesson NameHomework
8/308/312.4/3.1Rates of Change and Definition of the Derivative10. pg 92 #1-6, pg 105 #1-4, 17-19
9/1DeltaMath Classwork assignment (A Day only)
9/39/23.2/3.5Simple Derivative Rules11. pg 124 #1-6, 28-30, 32-35.
9/89/73.3Product and Quotient Rules12. pg 124 #15-24, 27, 55-58, pg 146 #4-8
9/109/9Derivatives Review13. Simple Derivatives Review Worksheet
9/149/1314. Derivatives Quiz
9/169/153.4Velocity and Other Rates of Change
Notes
15. 3.4 Worksheet #1-12
9/209/17More Particle Motion16. Particle Motion Day 2 WS
9/229/21Derivatives Review
Page 1
Page 2
17. Chapter 3 Delta Math due 9/24 (A)-9/23 (B) at 8:00 am.
9/249/2318. Derivatives Test

CHAPTER 4

MORE DERIVATIVES

A DayB DaySectionLesson NameHomework
9/289/274.1Chain Rule19. Pg 158 #9, 13-23 odd, 26, 29, 56 (c-f), 72-73
9/309/294.3/4.4Chain Rule Review20. Chain Rule DeltaMath due by 10/6 (A) and 10/5 (B)
10/410/1Quarter 1 Review: Limits and Differentiation
10/610/521. Quarter 1 Exam
This test counts as a test and will replace your lowest test grade of the quarter!
10/7Chain Rule PracticeB2: Derivatives and Chain Rule Classwork
10/810/124.2Derivatives of Inverse Functions Derivatives of Logs and Exponential Functions1. Derivatives of Inverses, Logs, and Exponential Functions Worksheet
10/13No Class – PSAT
10/1510/14Derivatives of Inverse Functions Derivatives of Logs and Exponential Functions Review2. Finish the following sections on your Chapter 4 DeltaMath by next class: Derivative of e through derivative of Inverse functions
10/1910/184.2Implicit Differentiation3. Pg 167 #1-2, 8, 17-19, 27, 29.
10/2110/20Chapter 4 Review4. Chapter 4 DeltaMath
10/2510/225. Chapter 4 Quest

CHAPTER 5

APPLICATIONS OF DERIVATIVES

A DayB DaySectionLesson NameHomework
10/2710/265.6Related Rates6. Related Rates Worksheet #1
10/2910/285.6Related Rates7. Related Rates Worksheet #2
11/211/15.6Related Rates8. Related Rates DeltaMath
11/411/39. Related Rates Quiz
11/811/55.1Absolute Extrema10. Extreme Value of Functions WS
11/1011/95.1/5.3Local Extrema
Increasing and Decreasing Functions
11. pg 198 #19-22, 29, 48-49. pg 219 #1-4, 25-26
11/1611/155.3Concavity12. pg 219 #7-13, 16, 39
11/1811/175.313. Extrema Quiz14. Using Multiple Representations Worksheet (Skip g and i)
11/2211/195.2Connecting f’ and f” with the Graph of f
The Second Derivative Test
15. pg 219 #21-25, 33-36, 45-52
11/2911/23 Mean Value Theorem
L’Hôpital’s Rule
16. Derivative Analysis Worksheet
12/111/30 Chapter 5 Review17. Chapter 5 DeltaMath
12/312/218. Chapter 5 Test

CHAPTER 6

THE DEFINITE INTEGRAL

A DayB DaySectionLesson NameHomework
12/712/66.1/6.5Estimating Area19. pg 316 #1-3 (L, R, M, and T), #7-8 (L, R, T)
12/8Estimating Area Review
Notes
12/912/10Quarter 2 Exam Review
12/1312/1420. Quarter 2 ExamSemester Exam Due by 12/16 at 3:25!
12/15Estimating Area Review
Notes
12/1712/16
1/51/46.2/6.3Area Review, Definite Integrals1. Riemann Sums and Definite Integrals DeltaMath Homework
1/7 1/66.2/6.3Area Review, Definite Integrals, Average Value
Notes
2. Estimating Area and Definite Integrals
1/111/106.4Indefinite Integrals and Particular Solutions3. WS #15-38, 53-58
1/131/126.4Fundamental Theorem of Calculus
4. Estimating Area and Definite Integrals Quiz
5. FTC Worksheet #1
1/191/186.4Fundamental Theorem of Calculus6. pg 306 #1-20
1/21 1/20Fundamental Theorem of Calculus7. FTC Worksheet #2
1/251/24Chapter 6 Review8. Chapter 6 DeltaMath
1/26Chapter 6 Review
1/271/289. Chapter 6 Test

CHAPTER 7

SUBSTITUTION AND DIFFERENTIAL EQUATIONS

A DayB DaySectionLesson NameHomework
1/312/1FRQ Practice10. FRQ Practice
2/2FRQ Practice Corrections11. Corrections (A Day Only)
2/42/37.2Substitution12. Integration by Substitution WS #1
2/82/77.2Substitution13. Integration by Substitution WS #2
2/102/97.2Integration of Logs and Exponential Functions14. 6.2 Worksheet
2/11
2/142/1515. Substitution Quiz
More Substitution…
16. Integration by Substitution WS #4
2/162/17Particle Motion
Notes
Chart
17. Rate and Motion WS
2/182/22Rate In and Rate Out
Notes
18. Rate DeltaMath
2/2319. Substitution DeltaMath
2/252/24Review19. Substitution DeltaMath
3/12/2820. Integration Test
Quarter 3 Exam – The Quarter 3 Exam will be optional and will be given after school on Tuesday 3/8.
3/2B2: 21. Slope Fields Classwork DeltaMath
3/33/47.4Differential Equations and Slope Fields1. Differential Equations DeltaMath due 3/7 (A) – 3/8 (B)
3/73/87.4Slope Field and Differential Equations Review2. FRQ Practice
3/93/10Differential Equations Review
3. Differential Equations and Slope Fields Quiz

CHAPTER 8

AREA BETWEEN CURVES

A DayB DaySectionLesson NameHomework
3/213/228.2Area Between Curves4. Area Between Curves WS #1
3/233/248.2Area Between Curves5. Area Between Curves WS #2
3/253/288.3Volume of Known Cross Sections6. Cross Section Volume WS
3/293/308.3Rotational Volume7. Volume WS #2
3/314/1Area and Volume FRQ
9. Area and Volume Exit Slip
8. Area and Volume DeltaMath due at 8:00am 4/6 (A) – 4/5 (B)

AP EXAM REVIEW

QUARTER 4

A DayB DayClassworkHomework
4/4No Class – FSA Writing
4/64/59. MC #1 – No Calculator10. Unit 1-2 Big 10
Due Tuesday 4/12 by 8:30am
4/7Go over MC #1
4/84/1111. FRQ #1 – No Calculator12. Unit 3-4 Big 10
Due Tuesday 4/19 by 8:30am
4/12Go over MC #1
4/13No Class – SAT
4/144/19Go over FRQ #113. Unit 5-6 Big 10
Due Tuesday 4/26 by 8:30am
4/204/2114. MC #2 – Calculator Active
4/224/2515. FRQ #2 – Calculator Active16. Unit 7-8 Big 10
Due Tuesday 5/3 by 8:30am
4/264/27
4/284/29
5/25/3
5/45/5
5/65/9AP Exam – Monday May 9 at 8:00 am!