| Date | Daily Agenda/Notes | Homework |
| 1-8(s) | Algebra Review |
| 1-10 | Review of 1st Semester in Class Quizizz |
| 1-12 | Sec. 5.1 Antiderivatives Notes - 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)
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| 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 |
| 1-19 | Finish 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
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| 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 |
| 1-26 | Finish 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 |
| 1-31 | Finish 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 |
| 2-2 | Quiz 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
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| 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 |
| 2-9 | AP Practice
Start Test Review | Chapter 5 Test Review |
| 2-12(s) | Test Review |
| 2-14 | Velocity 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 |
| 2-16 | Chapter 5 Test
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| 2-21 | Area 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. |
| 2-23 | Volume 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
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| 2-26(s) | Finish Disks and Washers
Go over Chapter 5 Test-Reteach, Corrections, etc... (if needed) |
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| 2-28 | Quiz 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 |
| 3-2 | Volume 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
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| 3-7 | Quiz 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
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| 3-9 | Finish 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
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| 3-14 | Chapter 6 Test |
| 3-16 | Slopefield 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 |
| 3-23 | Practice AP Free Response packet (groups)
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| 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 |
| 4-6 | AP Questions
Chapter 8 Review | Finish Newton's Law of Cooling WS
Chapter 8 Test Review |
| 4-9(s) | Go over Group FR Test
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| 4-11 | Modified 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 |
| 4-18 | AP Practice Test #1 MC | NO HW |
| 4-20 | AP Practice Test #1 FR | NO HW |
| 4-23 (s) | Start Going over MC | MC Practice - University of Houston
Corrections on personal MC test |
| 4-25 | Finish MC Review
MC Practice WS | MC Practice - University of Houston
2 Quizzes Due Friday
MC Corrections Due Friday |
| 4-27 | Go 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 cbraketa@jeffco.k12.co.us |
| 4-30(s) | Go over FR
2013 FR Practice | Free Response Practice |
| 5-2 | AP Practice Test #2 MC | Due 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 MC | MC Practice - University of Houston
Corrections on personal MC test |
| 5-9 | Finish MC
Go over FR | Free Response Practice
2017 FR Questions |
| 5-11 | 2017 FR Questions | MC/FR Practice (Your Choice) |
| 5-15 | AP TEST
Arrive at 7:15 |
