AP Calculus AB 2020-2021

CHAPTER 2

LIMITS

AP Calculus Summer Assignment –  Due the first day of class!

DateSectionLesson NameHomework
8/20Welcome to Calculus1.
2. Rational Functions Review Worksheet
8/242.1Introduction to Limits3. Pg 66 #7-19 all
8/262.1Finding Limits Analytically4. Limits Worksheet #1
8/282.1/2.3One Sided Limits and Continuity
5. Summer Assignment Quiz (A2)
6. Pg 67 #44-46, 49, 57, 58, 73-76. Pg 84 #11-13, 47, 49
9/12.2Limits Involving Infinity7. Limits Worksheet #2
9/3Limits Review
5. Summer Assignment Quiz (A1)
8. Limits DeltaMath – Due 9/8 at 8am
9/82.49. Limits Test, Part 1
Begin Chapter 3 – Rates of Change
9/103.19. Limits Test, Part 2
Begin Chapter 3 – Definition of the Derivative
10. pg 92 #1-6, pg 105 #1-4, 17-19

CHAPTER 3

DERIVATIVES

A DaySectionLesson NameHomework
9/82.49. Limits Test, Part 1
Rates of Change
9/103.19. Limits Test, Part 2
Definition of the Derivative
10. pg 92 #1-6, pg 105 #1-4, 17-19
9/143.2/3.5Simple Derivative Rules11. pg 124 #1-6, 28-30, 32-35.
9/163.3Product and Quotient Rules12. pg 124 #15-24, 27, 55-58, pg 146 #4-8
9/18Derivatives Review13. Simple Derivatives Review Worksheet
9/2214. Derivatives Quiz
9/243.4Velocity and Other Rates of Change15. 3.4 Worksheet #1-12
9/28Derivatives Review
Page 1
Page 2
16. Chapter 3 Delta Math due 9/30 at 8:00 am.
9/3017. Derivatives Test

CHAPTER 4

MORE DERIVATIVES

SectionLesson NameHomework
4.1Chain RulePg 158 #9, 13-23 odd, 26, 29, 56 (c-f), 72-73
4.3/4.4Derivatives of Inverse Functions Derivatives of Logs and Exponential FunctionsDerivatives of Inverses, Logs, and Exponential Functions Worksheet
Quarter 1 Review: Limits and Differentiation
Quarter 1 Exam
This test counts as a test and will replace your lowest test grade of the quarter!
4.2Implicit Differentiation
4.2Implicit Differentiation – Second DerivativesPg 167 #1-2, 8, 17-19, 27, 29.
Chain Rule and Implicit ReviewChapter 4 Review Worksheet
Chain Rule and Implicit Quiz

CHAPTER 5

APPLICATIONS OF DERIVATIVES

DateSectionLesson NameHomework
5.6Related Rates
5.6Related RatesRelated Rates Worksheet Due
5.6Related RatesRelated Rates Worksheet #2
Related Rates Quiz
Differentiability and Critical NumbersCritical Numbers WS
5.1Absolute ExtremaExtreme Value of Functions WS
5.1/5.3Local Extrema Increasing and Decreasing Functionspg 198 #19-22, 29, 48-49. pg 219 #1-4, 25-26
5.3Concavity and the Second Derivative Testpg 219 #7-13, 16, 19, 33-36, 39
5.3Extrema Quizpg 219 #21-25, 45-52
5.2Mean Value Theorem
Limit Definition of a Derivative
L’Hôpital’s Rule
pg 206 #1-6, 40-41. pg 260 #31-33, 36
 Chapter 5 ReviewChapter 5 Review Worksheet
 Chapter 5 Test
1/6Chapter 4-5 Review
Connecting f’ and f” with the Graph of f
1. Using Multiple Representations Worksheet and Derivative Analysis Worksheet
1/8 Chapter 4-5 Review
Applications Worksheet
None
1/12Chapter 4-5 Review
Chapter 5 Review
2. Chapter 5 DeltaMath – Due by 1/14
1/143. Chapter 4-5 Quiz

CHAPTER 6

THE DEFINITE INTEGRAL

A DaySectionLesson NameHomework
1/196.1/6.5Estimating Area4. pg 316 #1-3 (L, R, M, and T), #7-8 (L, R, T)
1/216.1/6.5
6.2/6.3
Estimating Area Review
Definite Integrals
Average Value
Notes
5. Area Review, Definite Integrals WS
1/25 Indefinite Integrals and Particular Solutions
6. Estimating Area Quiz
7. WS #15-42, 53-62
1/276.4Fundamental Theorem of Calculus8. FTC Worksheet #1
1/296.4Fundamental Theorem of Calculus9. pg 306 #1-20
2/26.4Fundamental Theorem of Calculus10. FTC Worksheet #2
2/4 Chapter 6 Review11. Chapter 6 DeltaMath
2/8 12. Chapter 6 Test 

CHAPTER 7

SUBSTITUTION AND DIFFERENTIAL EQUATIONS

A DaySectionLesson NameHomework
2/107.2Substitution13. Integration by Substitution WS #1
2/127.2Substitution14. Integration by Substitution WS #2
2/177.2Integration of Logs and Exponential Functions15. 6.2 Worksheet
2/1916. Substitution Quiz
More Substitution…
17. Integration by Substitution WS #4
2/23Particle Motion
Notes
Chart
18. Rate and Motion WS
2/25Rate In and Rate Out
Notes
19. Rate DeltaMath
3/1Review20. Substitution DeltaMath
3/321. Integration Test
3/57.4Differential Equations and Slope Fields1. Differential Equations DeltaMath due 3/16 at 8 am
3/167.4Slope Field and Differential Equations Review2. FRQ Practice
3/16QUARTER 3 EXAM –
The quarter 3 exam is OPTIONAL and will be given after school on 3/16.
This will count as a test grade and will replace your lowest quarter 3 assessment grade.
3/18Differential Equations Review
3. Differential Equations and Slope Fields Quiz

CHAPTER 8

AREA BETWEEN CURVES

A DaySectionLesson NameHomework
3/228.2Area Between Curves4. Area Between Curves WS
3/258.2Area Between CurvesFinish #4
3/298.3Volume of Known Cross Sections5. Cross Section Volume WS
3/318.3Rotational Volume6. Rotational Volume WS
4/6Area and Volume FRQ
8. Area and Volume Exit Slip
7. Area and Volume DeltaMath Due 4/8 at 8:00 am

AP EXAM REVIEW

QUARTER 4

DateClassworkHomework
4/89. MC #1 – No Calculator10. Unit 1 Review
4/12Go over MC #111. Unit 2 Big 10
11. Unit 2 FRQ (Optional)
Tuesday 4/13AP Exam Review – After School
4/14Calculator Active FRQ12. Unit 3 Big 10
12. Unit 3 FRQ (Optional)
4/1613. MC #2 – Calculator ActiveDue 4/22:
14. Unit 4 Big 10
15. Unit 5 Big 10

Unit 4-5 FRQ (Optional)
4/20
Tuesday 4/20AP Exam Review – After School
4/22Go over MC #2
No Calculator FRQ
16. Unit 6 Big 10
Unit 6 FRQ (Optional)
4/26
Tuesday 4/27AP Exam Review – After School
4/28
4/30
Saturday 5/1AP Exam Review 9:00-12:00 – At School
5/4AP Calculus Exam – Begins at 8am!