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The Story of Calculus
Course overview explaining what students should expect from AP Calculus AB.
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AP Calculus AB Roadmap
Introductory roadmap for the course and the major ideas students will build throughout the year.
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Course and Exam Description
Official course reference for AP Calculus AB topics, skills, and exam structure.
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Daily Class Log
Running log for daily class topics, assignments, and course updates.
Course Resources
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Ultimate AP Calculus Review Sheet
Outside review sheet covering major AP Calculus topics and formulas.
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AP Calculus AB Exam Review Flash Cards
Flash cards for reviewing AP Calculus AB exam topics and skills.
New from Mr. Smith
My Latest Videos
Fresh walkthroughs and review videos for our current AP Calculus work.
Uploaded 09/20/26
Latest video
Review of Trigonometric Derivatives (and Other Derivative Rules)
Uploaded 09/07/26
Latest video
FRQ Practice 2 - Limit Problems
Unit 1 - Limits and Continuity
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Lesson 2: Finding Limits Graphically and Numerically
Estimate limits using graphs, tables, and numerical patterns.
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Lesson 3: Evaluating Limits Analytically
Evaluate limits using algebraic strategies and analytical reasoning.
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Activity How Do You Think About Limits? [Day 1]
Activity exploring different ways to reason about limits.
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Lesson 4: Continuity and One-Sided Limits
Analyze continuity and evaluate one-sided limits using graphs and function behavior.
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Lesson 5: Infinite Limits
Analyze infinite limits and describe function behavior near vertical asymptotes.
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Activity How Do You Think About Limits? [Day 2]
A second activity exploring different ways to reason about limits.
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Lesson 6: Limits at Infinity
Analyze end behavior and evaluate limits as inputs grow without bound.
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Activity How Do You Think About Limits? [Day 3]
A third activity exploring different ways to reason about limits.
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FRQ Practice 1 Limits from a Graph
Practice interpreting limits from graphical representations.
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FRQ Practice 2 Limits at Infinity
Practice analyzing limits as inputs grow without bound.
Unit 2 - The Derivative
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Reference Sheet Rates of Change
Reference sheet for reviewing average and instantaneous rates of change.
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Activity From Limits to Derivatives [Day 4]
Explore how limits lead to the definition of the derivative.
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Activity From Limits to Derivatives [Day 5]
Continue exploring how limits lead to the definition of the derivative.
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Lesson 3: Higher-Order Derivatives and Trigonometric Derivatives
Find higher-order derivatives and differentiate trigonometric functions.
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Lesson 4: The Chain Rule
Differentiate composite functions using the chain rule.