# Semester 2ap Calculus

### AB Calculus Semester 2

AP CREDIT POLICY-Colleges and Universities

College Board Website

Block 1-HW Solutions

Block 4-HW Solutions

Class Documents

AP PRACTICE SITES:

Full TestPractice (Good if you need practice with a timed test)

Varsity Tutors Practice Tests (Good for individual topics breakdown)

Videos and Tutorials of Topics (Help Topics with videos, good to relearn individual concepts)

Multiple Choice Practice Tests - Must login (University of Houston Site for Individual Quizzes/Test Practice)

Multiple Choice Practice Tests with Answers (Full length Practice Tests with Answers)

More Multiple Choice Practice Questions w/ Answers (Online Practice Test)

Date Daily Agenda/Notes Homework
1-8(s) Algebra Review
1-10Review of 1st Semester in Class Quizizz
1-12
 Sec. 5.1 Antiderivatives NotesUnderstand how antiderivatives relate to derivativesUnderstand that the f(x) can have a vertical shift given f'(x)Find the antiderivatives of indefinite integralsSolve the antiderivative given initial condition(s)
p. 347: #12, 17, 26, 28, 30, 37, 41, 55, 68, 88, 92, 99
1-17

Sec. 5.2A Approximating areas Notes

Go over unequal delta x

• Use rectangular area approximations (Riemann Sums) to estimate area under a curve when geometric means don't apply.
• Determine whether our approximations are under- or ?overestimates to the actual area when possible.

p. 359: #1, 6, 9, 12, 14, 17, 27, 35, 37, 55, 58
1-19Finish Sec. 5.2
Sec. 5.2B Sigma Notation Notes
• Convert expanded notation to sigma notation
• Convert sigma notation to expanded notation
• Evaluate sums in sigma notation
Work day with Antiderivatives
• Understand how antiderivatives relate to derivatives
• Understand that the f(x) can have a vertical shift given f'(x)
• Find the antiderivatives of indefinite integrals
• Solve the antiderivative given initial condition(s)
pg 359 #39, 40, 41(a, c, e, g), 42(b, d, f, h)
Practice WS over Antiderivatives

Accuracy Check 5.1-5.2 Accuracy Check and Make Up
1-22(s)
Quiz 5.1- 5.2 Antiderivatives, Areas and Riemann Sums

1-24 Start Sec. 5.3 The Definite Integral and its properties WS
Evaluating Integrals with Geometry Notes
• Understand how Riemann Sums relate tot the definite integral
• Evaluate the definite integral using a Riemann Sum
• Evaluate the definite integral using geometry
• Understand properties of definite integrals

Finish Definite Integral notes
Sec. 5.3 HW Worksheet
1-26Finish Definite Integral Properties Examples
Sec. 5.4 Fundamental Theorem of Calculus part 1 Notes
• Understand that area under a velocity curve is the same as the final position minus the initial position
• Use the fundamental theorem of calculus to evaluate definite integrals
AP Practice WS from 1-22
p. 390: #23, 29, 32, 35, 39, 41, 45, 48, 87, 93
1-29(s)
Sec. 5.4 FTC part 2 - Accumulation Functions Notes, Finish FTC 2 Notes
• Understand the difference between the FTC part 1 and part 2
• Use the FTC part 2 to evaluate the derivative of an integral

p. 390: #9, 11, 21, 61, 65, 69, 75, 100-103, 105
1-31Finish FTC Part 2
AP Practice WS from 1-26 and AP Practice over Accumulation Functions
Accuracy Check 5.3-5.4
Accuracy Check 5.3-5.4 Make-up
Extra Quiz Practice
2-2Quiz 5.3- 5.4
Sec. 5.5 Average value of a function (MVT for Integrals) Notes
• Understand the mean value theorem for integrals
• Be able to find the average value of a function
• Use symmetry and even/odd properties of functions to evaluate integrals

p. 398: #7, 9, 11, 12, 23, 26, 32, 35, 40, 47

2-5(s)
Sec. 5.6 Substitution Method Notes
Sec. 5.6 Substitution with Bounds Notes
In Class Examples Solutions
• Understand when to use U-substitution to evaluate integrals
• Evaluate indefinite and definite integrals using U-substitution to 'undo' the chain rule

p. 408: #13, 15, 18, 20, 23, 47, 49, 51, 56, 60, 83, 95
2-7
Finish U-Substitution
• Understand when to use U-substitution to evaluate integrals
• Evaluate indefinite and definite integrals using U-substitution to 'undo' the chain rule
MC/FR#7 Extended version

p. 408: #13, 15, 18, 20, 23, 47, 49, 51, 56, 60, 83, 95
2-9AP Practice
Start Test Review
Chapter 5 Test Review
2-12(s)Test Review
2-14Velocity and Net Change (6.1)Notes
• Extend our knowledge of the relationships between position, velocity and acceleration to include displacement and total distance traveled by using integrals.
• Use the FTC (evaluation part) to predict future positions or velocities.
• Use the FTC (evaluation part) to compute net change and predict future value of other quantities.

p. 440: #7, 9, 13, 17, 21, 24, 25, 38, 41
2-16Chapter 5 Test

2-21Area between curves (6.2)Notes
• Understand how to find the area between curves
• Find the area between curves by integrating along the x-axis or the y-axis
p. 450: # 5, 7, 11, 16, 19, 23, 27, 29 (no calculator)
37, 47, 53 (calculator ok)
Show all work for no calc allowed problems, set up and evaluate on the calculator for the rest.
2-23Volume by disks, washers (6.3)Notes
• Understand the difference between a disc and a washer
• Find the volume of a solid by rotating the area around a given axis
HSA #4 Due Accuracy Check over 6.1-6.2

pages 465-6: #20, 27, 34, 38, 45 (no calculator)
#25, 31, 40, 46, 48 (with calc)
Accuracy Check 6.1-6.2

2-26(s)Finish Disks and Washers
Go over Chapter 5 Test-Reteach, Corrections, etc... (if needed)

2-28Quiz 6.1-6.2 - Areas, velocity and net change
Volume Practice WS
• Understand the difference between a disc and a washer
• Find the volume of a solid by rotating the area around a given axis

Volume Practice WS
3-2Volume by cross-sections method (6.3) Notes
Review Disks and Washers (Practice)
Start AP Volume Practice if Time
• Understand how a solid is formed by taking a known 2D shape and moving it along a curve
• Find the volume of a solid given 2D shapes and an equation of a curve
p. 464: #5, 7-9, 11 plus worksheet
3-5(s) 6.4 Volumes by Shells Notes
AP Practice
AP Volume Problems
p. 477: #5, 7, 15, 33 (no calculator)
#29, 34-36 (calculator ok)
Accuracy Check used for Quiz Practice
3-7Quiz 6.3-6.4 Volume
Finish AP Volume Problems
• Understand the difference between a disc and a washer
• Find the volume of a solid by rotating the area around a given axis

3-9Finish anything from Chapter 6
AP Volume Problems
Review For Chapter 6 Test
HSA Due over 6.3-6.4

Review for Chapter 6 Test
3-12 (s)Review

3-14 Chapter 6 Test
3-16Slopefield Intro worksheet
Intro to Differential Equations and Slopefields
Basic Ideas of DEs (8.1)Notes
• Understand that a slope field represents a solution to a first order differential equation
• Verify solutions to differential equations
• Solve simple differential equations by hand
• Use the calculator to solve diff eq's

p. 554: #5, 7, 13, 15, 18, 23, 26, 27, 29, 34, 39, 45
3-19 (s)Finish Sec. 8.1
Using deSolve on nSpire Notes
Nspire activity on DiffEQs, slopefields
• Use the calculator to solve diff eq's
Nspire worksheet
3-21
Euler's Method (8.2)Notes
• Understand how Eulers Method can give an approximation to the solution to a differential equation
• Use Euler's method to estimate the value of a differential equation
Worksheet
3-23Practice AP Free Response packet (groups)

4-2 (s)Solving Separable DiffEqs (8.3)Notes
p. 578: #5, 7, 11, 14, 17, 19, 22, 25, 28, 31
4-4
Quiz 8.1-8.2
Exponential Models (8.4) Notes
Give MC/FR #9 (due 4/7)
Worksheet
4-6AP Questions
Chapter 8 Review
Finish Newton's Law of Cooling WS
Chapter 8 Test Review
4-9(s)Go over Group FR Test

4-11Modified Silver day
Finish Group MC Practice Test
4-13 Chapter 8 Test
4-16(s)Go over Group FR Test
Hand out review materials
Review 'Stuff You Must Know' Sheet
4-18AP Practice Test #1 MCNO HW
4-20AP Practice Test #1 FRNO HW
4-23 (s)Start Going over MCMC Practice - University of Houston
Corrections on personal MC test
4-25Finish MC Review
MC Practice WS
MC Practice - University of Houston
2 Quizzes Due Friday
MC Corrections Due Friday
4-27Go over FR in Groups
2013 FR Practice
Full MC Practice Test - Due Wednesday 5-2
Full TestPractice
Take a screen shot of your results and email to [email protected]
4-30(s) Go over FR
2013 FR Practice
Free Response Practice
5-2AP Practice Test #2 MCDue Friday 5-4
2015 FR Practice
2015 FR Scoring Guidelines
You can google 2015 AB Calculus Free Response to see videos that go over solutions to these also. (Recommended)
Here is the link to Khan Academy where he goes over all the questions for the 2015 test
2015 Khan AB
5-4 AP Practice Test #2 FR
5-7(s) Start Going over MCMC Practice - University of Houston
Corrections on personal MC test
5-9Finish MC
Go over FR
Free Response Practice
2017 FR Questions
5-11 2017 FR Questions MC/FR Practice (Your Choice)
5-15AP TEST
Arrive at 7:15

### Semester 2ap Calculus Notes

Semester 2 AP CALCULUS AB SEMESTER 2 WEEK 20 MONDAY MAY 6TH TO MAY 10TH MONDAY THROUGH FRIDAY AP CALC AB REVIEW. MONDAY MAY 13TH FINAL TEST- multiple choice AP CALC AB SEMESTER 2 WEEK 18 MONDAY APRIL 29 TO MAY 3 RD MONDAY Multiple choice 2003 review. Pacing focus TUESDAY NO CLASS WEDNESDAY Finish 2003 multiple choice. Calculus link above has solutions to FRQ's. Wed, Apr 17th: Go over questions from Take-home test (last week) Take home: FRQ Practice (Part B)- 2010 There are also Albert.io (see Feb 11th Google classroom post for class code) practice tests to work on over break if you are interested. Also, many links to practice sites above. Calculus: Week 3: Date: Assignment: Extra Notes: 8/26: 1.3 day 3: p68 #63-72(3rds), 84-93(3rds) Tomorrow we will have a quiz on 1.2 and 1.3. 8/27: Quiz 1.2/1.3 and p91 #1-6, 11-35odd.