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AP Calculus AB
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: Test Reflections for CAL AB 2025-2026
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#4: 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
#5: Unit Circle Mini-Quiz
#5: Unit Circle Mini-Quiz
#6: Notes- Evaluating limits from functions (analytically)
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#7: Algebraic Manipulation (Limits)
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Video Review of the Notes
Solutions
Video Solutions: #1, #9, #11, #17, #18, #19, #21, #24, #26
#8: Notes- Infinite Limits (limits that approach infinity or negative infinity)
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#9: Notes- Examples- Practice for IVT (Intermediate Value Theorem)
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Video Review of the Notes
Solutions
Video Solutions: #17, #20, #22
#10: Selecting Procedures for Determining Limits (dealing with 0/0 practice)
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Solutions are on the bottom of the page.
Video Solutions: #1, #2, #6, #8, #9
#11: Algebraic Properties of Limits and Piecewise Functions
Download a new copyVideo Review of the Notes#11: Algebraic Properties of Limits and Piecewise Functions
Solutions
Video Solutions: #2a, #11
#12: Defining Continuity at a Point
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Solutions
Video Solutions: #4a, #5, #6, #11, #12, #13
#13: Types of Discontinuities
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Solutions
Video Solutions: #8, #12
#14: Unit 1 Quiz Review
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SolutionsVideo Solutions: #2, #4, #8, #9, #10, #14, #18, #19, #21a, #21b, #21c, #22, #23, #24, #25, #26, #27, #29
#15: Khan Academy Unit 1 Practice (4 total assignments)
#15: Khan Academy Unit 1 Practice (4 total assignments)
Unit 1 Assessment
Unit 1 Assessment
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%
#16: Notes - Definition of a Derivative
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#17: 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)
#19: 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
#20: Notes - Position vs Velocity vs Acceleration (AND SPEED!)
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(Optional) Extra Practice with Solutions Provided
#21: 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)
#23: Memorization from unit 2 for upcoming mini-quiz
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#24: Khan Academy 1 Assignment (definition of a derivative)
#24: Khan Academy 1 Assignment (definition of a derivative)
#25: Mini-Quiz: Unit 2 Memorization Topics (assignment #23)
#25: Mini-Quiz: Unit 2 Memorization Topics (assignment #23)
#26: Notes- Chain Rule
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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: Circuit- Product, Quotient, and CHAIN Rules
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Video Solutions: #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16
#29: Unit 2 Test Review
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Solutions
Video Solutions: #12, #15, #16, #18, #20, #25, #26, #39, #40, #41, #42, #43, #50, #51, #54, #55, #56
#30: Another look at differentiability and its relationship to continuity
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Unit 2 Test
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%
#31: Notes and Practice- L'Hopital's Rule
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Solutions
Video Solutions: #5, #7, #9, #17c
#32: Notes- Implicit Differentiation
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Solutions
#33: 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.#33: 3.5 Book Assignment (Implicit Differentiation)
Textbook Pages: Pages 171-173(Odd Solutions: https://bit.ly/2JOlJKA)
Solutions with steps and implicit is highlightedExtra Practice (optional):(Paul's Online Implicit Differentiation Notes and Practice: https://bit.ly/2Ycool5)
#34: Practice FRQs (that have implicit differentiation in them)
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Solutions and scoring guidelines are provided on page 2 and 4.
#35: Notes- Derivatives of Exponential Functions
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#36: Khan Academy; 1 assignment; Implicit Differentiation
#36: Khan Academy; 1 assignment; Implicit Differentiation
#37: Derivatives of Inverse Trig Functions
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#38: Geometry Formulas that you are expected to know
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#39: Notes- Related Rates
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#40: Basic Related Rates
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Solutions (step-by-step)
Video Solutions: #2, #3, #5, #6b
#41: Mini-quiz over #35, #37, and #38.
#41: Mini-quiz over #35, #37, and #38.
#42: Related Rates Matching Activity
If you were absent for this, you need to make it up during advisory. You can bring a partner to work with if you prefer.#42: Related Rates Matching Activity
#43: Circuit- Related Rates
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Solutions
Video Solutions: #1, #2, #3, #4, #5, #6, #7. #8. #9. #10. #11. #12
#44: Unit 3 Review
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Solutions
Video Solutions: #s 1-2, #s 3-5, #s 6-9, #s 10-11, #12, #13, #s 20-21, #24, #25, #26, #27, #28, #29, #30, #31, #32, #33, #34, #35, #36, #37, and #38.
Unit 3 Assessment
Unit 3 Assessment
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%
#45: Notes- 1st derivative test
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Video Review of the notes
Solutions
Video Solutions: #11
RECONSTRUCT f(x) from f'(x) - Interactive graph with accuracy check
#46: Circuit- Using your calculator
Download a new copyVideo Solutions: #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16, #17, #18, #19, #20.#46: Circuit- Using your calculator
Textbook Pages 223 - 224(Odd Solutions: https://bit.ly/2FgxTrG)
#48: Notes- EVT (Extreme Value Theorem) / Candidates Test
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Video Review of the notes
Solutions
Video Solutions: #4, #9
#49: 2 Khan Academy Assignments: 1) Finding critical numbers and 2) Find intervals of increasing and decreasing
#49: 2 Khan Academy Assignments: 1) Finding critical numbers and 2) Find intervals of increasing and decreasing
#50: Notes and Practice - Concavity
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Video Review of the notes
Solutions
Video Solutions: #3, #4
#51: Notes and Practice - The 2nd derivative test
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Video Review of the notes
Solutions
#52: Relationships between f, f', and f''.
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#52: Relationships between f, f', and f''.
#52: Relationships between f, f', and f''.
#53: Curve Sketching from functions and characteristics
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#54: Curve sketching f and f'' given f'.
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#55: Card Sort - Finding f' and f'' that match f.
Absent for this? make it up during advisory.#55: Card Sort - Finding f' and f'' that match f.
#56: 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
#57: Unit 4 Memorizations
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#58: Unit 4 Review
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Solutions
Video Solutions: #12, #13, #15, #16, #18, #21, #26, #27, #28, #29
#60: Unit 4 FRQ Drill
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Solutions
#: 4 Khan Academy Assignments (1 on "connecting f, f', and f'' graphically", 1 on The 2nd derivative Test, 1 on Finding Inflection Points, and 1 on Absolute Extrema)
You should keep trying until you end up with a 100% on this assignment. There is no limit on the number of retries.#: 4 Khan Academy Assignments (1 on "connecting f, f', and f'' graphically", 1 on The 2nd derivative Test, 1 on Finding Inflection Points, and 1 on Absolute Extrema)
Unit 4 Test
Unit 4 Test
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