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AP Calculus AB
Other Information about the AP Exam:
Other Information about the AP Exam:
The AP Exam has 4 sections:
Section 1: 30 multiple choice questions, 60 minutes. Calculator is not allowed.
Section 2: 15 multiple choice questions, 45 minutes. Calculator is allowed but probably only needed on a few of the 15 questions.
Section 3: 2 free response questions, 30 minutes. Calculator is allowed and will be needed for parts of these questions.
Section 4: 4 free response questions, 60 minutes. Calculator is not allowed.
Points:
Each multiple choice question is worth 1.2 points for a total of 54 points.
Each free response questions is worth 9 points for a total of 54 points.
The entire exam is 108 points. The cut off scores for a 1, 2, 3, 4, and 5 change from year-to-year depending on the test difficulty.
Frequently Used Resources:
What are some resources that I can use for extra practice? The Khan Academy's AP Cal AB course is probably the best single resource. Khan Academy partnered up with College Board to align their course to the expectations of the curriculum on the AP exam. The course is laid out in the same units as College Board suggests. Each unit has lesson videos, quizzes, and tests to check for understanding. I prefer to attempt the short quiz and if I can't answer all of them correctly and rather quickly, then I can click on the video to get a refresher on the topic. Also, Paul's Online Notes is great when you just need more questions to practice. This is really designed for a college level Calculus 1 and 2 course rather than an AP Calculus course but almost all of the content is still relevant. What I like about this as a resource is that it has very detailed notes, to explain topics. It also provides practice problems with solutions to check for understanding.Frequently Used Resources:
A collection of resources that you may want to use for more practice over particular topics.
Unit 1 - Limits & Continuity
AP Multiple Choice EXAM WEIGHT: 10% - 12%
Unit 1 - Limits & Continuity
AP Multiple Choice EXAM WEIGHT: 10% - 12%
#1: Syllabus
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#2: Websites to sign up for
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#3: Limits Graphically
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Video Review of the Notes
Solutions
Video Solutions: #3 on back page
Suggested (optional practice): KA: Limits IntroKA: Estimating limit values from graphsKA: One-sided limits from graphsKA Quiz: Connecting limits and graphical behavior
#4: Algebraic Manipulation (Limits)
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Video Review of the Notes
Solutions
Video Solutions: #1, #9, #11, #17, #18, #19, #21, #24, #26
#5: Notes- Evaluating limits from functions (analytically)
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#6: (on your own paper) 2 Khan Academy Assignments; (limits from a table, and 0//0 with conjugates)
#6: (on your own paper) 2 Khan Academy Assignments; (limits from a table, and 0//0 with conjugates)
#7: Notes- Examples- Practice for IVT (Intermediate Value Theorem)
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Video Review of the Notes
Solutions
Video Solutions: #17, #20, #22
#8: Limits at Infinity
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Video Review of the Notes
Solutions
Video Solutions: #11, #12, #14, #17, #22, #26, #28, #30, #31, #32, #35, #36
#9: Selecting Procedures for Determining Limits (dealing with 0/0 practice)
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Solutions are on the bottom of the page.
Video Solutions: #2, #6, #8, #9
#10: Algebraic Properties of Limits and Piecewise Functions
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Solutions
Video Solutions: #2a, #11
#11: Defining Continuity at a Point
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Solutions
Video Solutions: #4a, #5, #6, #11, #12, #13
#12: Types of Discontinuities
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Solutions
Video Solutions: #8, #12
#13: Unit 1 Quiz Review
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SolutionsVideo Solutions: #2, #4, #8, #9, #10, #14, #15, #18, #19, #21a, #21b, #23, #24, #25, #26, #29
#14: Unit 1 Quiz
#14: Unit 1 Quiz
Unit 2 - Differentiation: Definition and Fundamental Properties
AP Multiple Choice EXAM WEIGHT: 10% - 12%
Unit 2 - Differentiation: Definition and Fundamental Properties
AP Multiple Choice EXAM WEIGHT: 10% - 12%
#15: Notes (and practice) - Definition of a Derivative
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#16: Notes - Basic Derivative Rules
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Textbook Pages: 135 - 138
(Odd Solutions: https://bit.ly/2HQiujB) (Extra Practice: #26) (Paul's Online Notes and Practice: https://bit.ly/1EHaOUu)(Khan Academy's Derivatives Videos and Quizzes: https://bit.ly/2EWsd7P)
#18: Notes - Position vs Velocity vs Acceleration (AND SPEED!)
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(Optional) Extra Practice with Solutions Provided
#19: Notes - Product / Quotient Rule
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(Odd Solutions: https://bit.ly/2YU26nU) Textbook Pages 146 -149(Khan Academy's Derivatives Videos and Quizzes: https://bit.ly/2EWsd7P)(Paul's Online Notes and Practice: https://bit.ly/2Wx0Ev9)
#21: Circuit- Power Rule
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Video Solutions: #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16, #17, #18, #19, #20, #21, #22, #23, #24
#22: Circuit- Product Rule & Quotient Rule
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Solutions
Video Solutions: #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16, #17, #18, #19, #20
#23: Notes- Chain Rule
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#24: Chain Rule Practice Problems
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#25: 5 Khan Academy Assignments (1 on definition of a derivative; 1 on estimating derivatives; 1 on Identifying composite functions for chain rule; 1 on chain rule from a given function; and 1 on chain rule given a table)
Login to Khan Academy and the assignment should be assigned to you. If you don't see it, make sure you joined that class on the first day of school (look at handout #2). You should keep trying until you end up with a 100% on this assignment. There is no limit on the number of retries.#25: 5 Khan Academy Assignments (1 on definition of a derivative; 1 on estimating derivatives; 1 on Identifying composite functions for chain rule; 1 on chain rule from a given function; and 1 on chain rule given a table)
#26: Commonly Missed Khan Academy Questions (from chain rule practice)
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#27: Circuit- Chain Rule
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Video Solutions: #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16, #17, #18, #19, #20
#28: Unit 2 Test Review
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Solutions
Video Solutions: #15, #16, #18, #25, #26, #39, #40, #41, #42, #43, #51, #54, #55, #56
#29: Unit 2 Test
#29: Unit 2 Test
Unit 3 - Differentiation: Composite(Chain Rule), Implicit, and Inverse Functions
AP Multiple Choice EXAM WEIGHT: 9% - 13%
Unit 3 - Differentiation: Composite(Chain Rule), Implicit, and Inverse Functions
AP Multiple Choice EXAM WEIGHT: 9% - 13%
#30: Notes- Implicit Differentiation
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#31: 3.5 Book Assignment (Implicit Differentiation)
Pages 171-172 #s: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 45, 47, 71, and 73.(Odd Solutions: https://bit.ly/2JOlJKA) Extra Practice (optional):(Paul's Online Implicit Differentiation Notes and Practice: https://bit.ly/2Ycool5)#31: 3.5 Book Assignment (Implicit Differentiation)
#32: Geometry Formulas that you are expected to know
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#33: Notes- Related Rates
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#34: Circuit- Related Rates
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Solutions
Video Solutions: #1, #2, #3, #4, #5, #6, #7. #8. #9. #10. #11. #12
#35: Derivatives of Exponential Functions
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#36: Basic Related Rates Practice Worksheet
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Video Solutions (front page): #2, #3, #5, #6b
Video Solutions (other pages): #1, #2, #3, #5, #6, #7, #8, #9, #10, #11,
(Optional) Related Rates Circuit: Download a new copy / Solutions
#37: Unit 3 Review
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Video Solutions: #1, #3, #6, #7, #8b, #9
#37a: Unit 3 Extra FRQ Practice
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Solutions and solution video links are on the bottom of each page.
#38: Circuit- Using your calculator
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#39: Unit 3 Exam
#39: Unit 3 Exam
Unit 4 - Contextual Applications of Derivatives
AP Multiple Choice EXAM WEIGHT: 10% - 15%
Unit 4 - Contextual Applications of Derivatives
AP Multiple Choice EXAM WEIGHT: 10% - 15%
Unit 5 - Analytical Applications of Differentiation
AP Multiple Choice EXAM WEIGHT: 15% - 18%
Unit 5 - Analytical Applications of Differentiation
AP Multiple Choice EXAM WEIGHT: 15% - 18%
#40: Notes- 1st derivative test
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Video Review of the notes
Solutions
Video Solutions: #11
Textbook Pages 223 - 224(Odd Solutions: https://bit.ly/2FgxTrG) (Khan Academy's Videos and Quizzes: https://bit.ly/2Kq3mfy)
#42: Notes- EVT (Extreme Value Theorem) / Candidates Test
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Video Review of the notes
Solutions
#43: Notes- Concavity
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Video Review of the notes
Solutions
#44: The 2nd derivative test
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Video Review of the notes
Solutions
#45: Organizing information from the function / 1st derivative / 2nd derivative
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#46: Curve sketching f and f'' given f'.
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#47: Card Sort - Finding f' and f'' that match f.
Absent for this? You must make it up during advisory.#47: Card Sort - Finding f' and f'' that match f.
#48: Circuit: What f' and f'' tell you about f
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Video Solutions: #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16
#49: Curve Sketching: from functions & characteristics
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Solutions: the function questions can be checked by graphing in your calculator; the characteristic questions can be checked by making sure all characteristics are still correct once you complete the graph.
#50: Unit 4 Review
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Solutions
Video Solutions: #12, #13, #15, #16, #18, #21, #26, #27, #28, #29
#51: Unit 4 Test
#51: Unit 4 Test
Unit 6 - Integration and the Accumulation of Change
AP EXAM WEIGHT: 17% - 20%
Unit 6 - Integration and the Accumulation of Change
AP EXAM WEIGHT: 17% - 20%
#52: Notes - MVT (Mean Value Theorem)
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#53: Circuit: Tangent Line Approximation
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Video Solutions: #3, #5, #7, #8, #9, #10
#54: Khan Academy - 1 Assignment (MVT finding c)
#54: Khan Academy - 1 Assignment (MVT finding c)
#55: Circuit: L'Hopital's Rule
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Video Solutions: #4, #6, #10, #11, #12, #16, #17, #22
#56: Circuit: MVT (Mean Value Theorem)
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Video Solutions: #1, #3, #4, #5, #6, #8, #10, #11, #13, #14, #15
#57: Riemann Sums (introduction) & Practice FRQ
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#58: MVT (Mean Value Theorem) Quiz
#58: MVT (Mean Value Theorem) Quiz
#59: Circuit: What could have been the original function
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#60: (on your own paper); A study cheat sheet as you find formulas, examples, ect. that need to be reviewed before the semester exam.
#60: (on your own paper); A study cheat sheet as you find formulas, examples, ect. that need to be reviewed before the semester exam.
#61: Fall 2024 Semester Exam Review Part 1 (Limits & Continuity focused)
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#62: Trapezoidal Sums
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#63: Fall 2024 Semester Exam Review Part 2 (Taking Derivatives focused)
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Video Solutions: #24, #25, #28
#64: Anti-Differentiation Notes (section 5.1)
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#65: Circuit: Anti-Differentiation
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Video Solutions: #5, #6, #7, #8, #9, #10, #13, #14, #16, #17, #18, #19, #20
#66: Fall 2024 Semester Exam Review Part 3 (Function Aalysis focused)
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Video Solutions: #8, #14, #25.
#67: Fall 2024 Semester Exam Review Part 4 (Area Approximations + practice)
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Video Solutions: #10, #11, #12, #13, #15, #16
#68: Derivatives of Inverse Trig Functions
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#69: Fall 2024 Semester Exam Review Part 5 (more practice)
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#69b: Fall 2024 Semester Exam Review BIG PACKET
Download a new copy: Part 1 (Topics and FRQ Practice), Part 2 (Multiple Choice Practice with solutions at the end)
Solutions with work shown. FRQ Solutions/Justifications
Video Solutions: #3, #5, #8, #9, #10, #11-12, #15, #16, #19, #20, #21, #23, #25, #26, #27, #28, #29, #30, #31, #33, #34, #35, #36, #39, #40, #41, #42, #43, #44, #46, #48, #50-51
#69b: Fall 2024 Semester Exam Review BIG PACKET
Download a new copy: Part 1 (Topics and FRQ Practice), Part 2 (Multiple Choice Practice with solutions at the end)
Solutions with work shown. FRQ Solutions/Justifications
Video Solutions: #3, #5, #8, #9, #10, #11-12, #15, #16, #19, #20, #21, #23, #25, #26, #27, #28, #29, #30, #31, #33, #34, #35, #36, #39, #40, #41, #42, #43, #44, #46, #48, #50-51
#70: Summation Notation to Definite Integral
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Solutions are on the bottom of the back page.
#71: Khan Academy Assignments (4 total) / Riemann & Trapezoidal Sums
#71: Khan Academy Assignments (4 total) / Riemann & Trapezoidal Sums
#72: 1st and 2nd Fundamental Theorems of Calculus
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#74: Khan Academy (3 assignments; 2 over 2nd FTC and 1 over assignment #70)
#74: Khan Academy (3 assignments; 2 over 2nd FTC and 1 over assignment #70)
#74: Distance vs Displacement Notes
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#75: Circuit- Fundamental Theorem of Calculus
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Video Solutions: #2, #3, #4, #5, #6, #7, #8
#76: Circuit- Definite Integrals
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#77: Notes- PVA (Position/Velocity/Acceleration) Tips
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#78: Accumulation FRQ
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#79: Circuit: Accumulation Models
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#80: Khan Academy (3 assignments; integration as area under a curve)
#80: Khan Academy (3 assignments; integration as area under a curve)
#81: Notes- Deriving an Integral vs Integrating a Derivative
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#82: 5.1 - 5.4 Practice FRQs
Download a new copy2001 FRQ #3 Video / 1997 FRQ #1 Video / 2002 FRQ #3 Video / 1999 FRQ #1 Video#82: 5.1 - 5.4 Practice FRQs
#83: Circuit-Velocity, Distance, Displacement, Acceleration…
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Solutions
Video Solutions: #1, #2, #3, #4, #5, #6, #10
#84: 5.1 - 5.4 Quiz Review
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Solutions
Video Solutions: #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #1(back page), #2(back page), #3(back page), #4-7 (back page), #8(back page), #9(back page), #10(back page), #11(back page), #12(back page), #13 (back page), #14 (back page), #15 (back page)
#85: Properties of Integration
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Solutions
#86: Unit 6 Topic List / Skills Checklist
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#87: Khan Academy (1 assignment; integration from piecewise functions)
#87: Khan Academy (1 assignment; integration from piecewise functions)
#88: Unit 6 Exam
#88: Unit 6 Exam
Unit 7- Differential Equations
AP EXAM WEIGHT: 6% - 12%
Unit 7- Differential Equations
AP EXAM WEIGHT: 6% - 12%
#89: U-SUB Worksheet A & B
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Video Solutions (back page): #1, #3, #6, #7, #9, #10, #12, #13, #16, #17
#90: Slope Fields Worksheet
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Solutions(Khan Academy's Slope Fields Videos and Quizzes: http://bit.ly/2VK8iAN)
#91: U-SUB Definite Integrals Book Work: Page 338 #s: 69-75 and 77-80.
Check solutions by using your calculator.#91: U-SUB Definite Integrals Book Work: Page 338 #s: 69-75 and 77-80.
Video Solutions: #71
#92: Exponential Growth / Decay
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SolutionsVideo Solutions: #4
#93: Separation of Variables Notes
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Video Solutions: #7, #11,
#94: (work on your own paper) Khan Academy; 1 on picking U in USUB; 1 USUB for indefinite integrals; 1 USUB for definite integrals (work must be shown / do not use your calculator to get any answers)
#94: (work on your own paper) Khan Academy; 1 on picking U in USUB; 1 USUB for indefinite integrals; 1 USUB for definite integrals (work must be shown / do not use your calculator to get any answers)
#95: USUB Mini-Quiz
#95: USUB Mini-Quiz
#96: How to deal with absolute values signs in solving differential equations
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Textbook Page: 405
(Odd Solutions: http://bit.ly/2wHQpI6)
#98: 4 Practice FRQs from Unit 7
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Solutions / Scoring Guidelines are provided on the 2nd and 3rd pages.Download a new copy of 2021 FRQ 6 and 2022 FRQ 5
Scoring Guidelines for 2021 FRQ 6
Scoring Guidelines for 2022 FRQ 5
#99: MORE with Separation of Variables Worksheet
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Solutions
Video Solutions: #5
#100: AP Classroom progress checks (unit 1- 3 progress checks; unit 2- 1 progress check)
#100: AP Classroom progress checks (unit 1- 3 progress checks; unit 2- 1 progress check)
#101: Chapter 6 Quiz
#101: Chapter 6 Quiz
Unit 8- Differential Equations
AP EXAM WEIGHT: 6% - 12%
Unit 8- Differential Equations
AP EXAM WEIGHT: 6% - 12%
#102: Circuit: Area between two curves
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SolutionsVideo Solutions: #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16.
#103: Volumes of Solids with known cross sections
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#104: Notes: Volumes of Revolutions Part 1 (disc method)
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#104a: Notes: Volumes of Revolutions Part 2 (washer method)
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#105: 1 Khan Academy Assignment over Volumes of Revolutions Part 1
#105: 1 Khan Academy Assignment over Volumes of Revolutions Part 1
#105a: 1 Khan Academy Assignment over Volumes of Revolutions Part 2
#105a: 1 Khan Academy Assignment over Volumes of Revolutions Part 2
#106: Circuit: Volume from Rotations
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Solutions
Video Solutions: #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16, #17, #18.
(Optional, Extra Practice) Volumes of Revolutions Practice Worksheet. Download a new copy / Answers are provided on the bottom of each page.
#107: Unit 8 Review / Topics List
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#108: Notes: Volumes from Revolutions around lines other than the x-axis or y-axis
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#109: Unit 8 FRQ Practice
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Download a new copy of 2024 FRQ 6.Download a new copy of 2013 FRQ 5.Solutions / Scoring and help videos are all linked in the document.
#110: 2022 FRQ 6 & 2017 FRQ 5
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#111: 2019 FRQ 3 & 2022 FRQ 3
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#112: 2024 FRQ 4 & 2024 FRQ 2
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Solutions / Scoring and help videos are all linked in the document.
#113: 2015 FRQ 1 & 2017 FRQ 2
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Solutions / Scoring and help videos are all linked in the document.
#114: 2023 FRQ 3 (SLOPE FIELDS / DIFFERENTIAL EQUATIONS TYPE)
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Solutions / Scoring and help videos are all linked in the document.
#115: Unit 8 Exam
#115: Unit 8 Exam
#116: 2005 FRQ 3 (TABLE TYPE)
Download a new copy. Solutions/Scoring and help video are all linked in the document.#116: 2005 FRQ 3 (TABLE TYPE)
#117: Big 10 - Unit 5 & 6
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#118: AP Survival Guide & Formula Sheet to be memorized
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#119: Mini-Quiz: Formula Sheet Memorizations Part 1
#119: Mini-Quiz: Formula Sheet Memorizations Part 1
#120: 2017 FRQ 5
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Solutions / Scoring and help videos are all linked in the document.
#121: Look at Past tests / At least 5 corrections from any tests this year.
You'll need to finish this during advisory since you cannot take your tests home with you.#121: Look at Past tests / At least 5 corrections from any tests this year.
#122: Mini-Quiz: Formula Sheet Memorizations Part 2
#122: Mini-Quiz: Formula Sheet Memorizations Part 2
#123: 2002 FRQ 2, 2003 FRQ 2, and 2003 FRQ 4
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#124: Mini-Quiz: Formula Sheet Memorizations Part 3
#124: Mini-Quiz: Formula Sheet Memorizations Part 3
#125: 2012 FRQ 1, and 2002 FRQ 6
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