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AP Calculus AB Comprehensive Curriculum with Exam Weighting Guide

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Prepare your students for success in AP Calculus AB with this expertly crafted curriculum. Designed by an experienced educator and seller on Teachers Pay Teachers, this resource provides a detailed breakdown of each unit, aligned with the official exam weighting to maximize students’ performance on the AP exam.


Units Covered:

Unit 1: Limits and Continuity (10%–12%)

- Fundamental concepts of limits and continuity.

- Understanding and applying the formal definition of a limit.


Unit 2: Differentiation – Definition and Fundamental Properties (10%–12%)

- Introducing the derivative and its rules.

- Exploring the relationship between differentiability and continuity.


Unit 3: Differentiation – Composite, Implicit, and Inverse Functions (9%–13%)

- Mastering chain rule, implicit differentiation, and derivatives of inverse functions.


Unit 4: Contextual Applications of Differentiation (10%–15%)

- Applying derivatives to motion, optimization, and related rates.


Unit 5: Analytical Applications of Differentiation (15%–18%)

- Investigating the behavior of functions using derivatives.

- Exploring concepts like concavity, critical points, and the Mean Value Theorem.


Unit 6: Integration and Accumulation of Change (17%–20%)

- Understanding antiderivatives and definite integrals.

- Calculating area under curves and accumulation functions.


Unit 7: Differential Equations (6%–12%)

- Solving separable differential equations.

- Modeling real-world phenomena with differential equations.


Unit 8: Applications of Integration (10%–15%)

- Using integration in physical, economic, and other real-world contexts.

- Calculating volumes of solids of revolution and areas between curves.


Key Features:

- Exam-aligned content: Focus on the specific weighting for each unit to prioritize critical topics.

- Complete lesson plans: Editable presentations, worksheets, and problem sets for each unit.

- Assessments and answer keys: Quizzes, tests, and AP-style multiple-choice questions to prepare students for the exam.

- Engaging activities: Real-world problems to help students apply calculus concepts effectively.


This resource is perfect for AP Calculus AB teachers looking for structured, exam-focused materials to save time and enhance student outcomes. Download it today and equip your students to excel on the AP exam!

You will get a PDF (25KB) file