Only assessed in the free-response section. Use correct notation, language, and mathematical conventions to communicate results or solutions. Translate mathematical information from a single representation or across multiple representations.
The AP Calculus BC framework included in the course and exam description outlines distinct skills, called Mathematical Practices, that students should practice throughout the year-skills that will help them learn to think and act like mathematicians.ĭetermine expressions and values using mathematical procedures and rules. Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions Unit 6: Integration and Accumulation of Change Unit 5: Analytical Applications of Differentiation Advanced Placement Calculus BC covers the same topics as calculus AB, but includes additional topics usually covered in the second semester of a college c. It is likely that the student simply wants a book that covers the topics introduced in calc BC, but in more depth than what calc BC courses typically present. Unit 4: Contextual Applications of Differentiation As calc BC is mainly just the application formulas, he is already asking for something deeper than what is required for calc BC. The mathematics of Calculus BC (Calculus 2) is based on the idea of rates of change and includes the study of functions, differentiation, integration. Unit 3: Differentiation: Composite, Implicit, and Inverse Functions Unit 2: Differentiation: Definition and Fundamental Properties (This is the standard pathway for many school districts.) This ensures that when students take Calculus BC they have already been exposed to the main concepts and can focus on the more difficult concepts to ensure they get a 5 on the AP exam. As always, you have the flexibility to organize the course content as you like. Students can choose to take Calculus BC after first taking Calculus AB.
The AP Calculus BC framework is organized into 10 commonly taught units of study that provide one possible sequence for the course. AP calculus BC, includes all AB topics and covers few higher-level concepts above the AB course.
The framework also encourages instruction that prepares students for advanced coursework in mathematics or other fields engaged in modeling change (e.g., pure sciences, engineering, or economics) and for creating useful, reasonable solutions to problems encountered in an ever-changing world. Calculus AB is an introductory college level course. The framework specifies what students must know, be able to do, and understand, with a focus on big ideas that encompass core principles, theories, and processes of the discipline. Based on the Understanding by Design® (Wiggins and McTighe) model, this course framework provides a clear and detailed description of the course requirements necessary for student success.
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