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AP Calculus BC

AP Calculus BC

High School


Course Description:

The course frameworks for AP Calculus AB and AP Calculus BC define content students must know and skills students must master in order to earn transferable, long-term understandings of calculus. The frameworks reflect a commitment to what college faculty value and mirror the curricula in corresponding college courses. Teachers may adjust the frameworks to meet state and local requirements.
The frameworks are organized into logical sequences, based on teacher input and commonly used textbooks. These sequences represent one reasonable learning pathway for each course, among many. Teachers may adjust the suggested sequencing of units or topics, although they will want to carefully consider how to account for such changes as they access course resources for planning, instruction, and assessment.
Balancing guidance and flexibility, this approach helps to prepare students for college credit and placement.

Semester 1

UNIT 1: Limits and Continuity
UNIT 2: Differentiation: Definition and Fundamental Properties
UNIT 3: Differentiation: Composite, Implicit, and Inverse Functions
UNIT 4: Contextual Applications of Differentiation
UNIT 5: Analytical Applications of Differentiation

Semester 2

Note: if the following section is blank the course is 1 semester long

UNIT 6: Integration and Accumulation of Change
UNIT 7: Differential Equations
UNIT 8: Applications of Integration
UNIT 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
UNIT 10: Infinite Sequences and Series

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