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 We cover infinite sequences and series, including all the divergence and convergence tests: nth term test, integral test, comparison tests, alternating series tests, and Taylor polynomials.
Unit 4: Contextual Applications of Differentiation AP Calculus AB/BC - Unit 10 Infinite Sequences & Series (BC Only) Exam Date: Let's learn about series in unit 10 of AP Calc BC. Unit 3: Differentiation: Composite, Implicit, and Inverse Functions Unit 2: Differentiation: Definition and Fundamental Properties As always, you have the flexibility to organize the course content as you like. In this subsection well gather together a few handy tests for. The AP Calculus BC framework is organized into 10 commonly taught units of study that provide one possible sequence for the course. 1.2 Tests for convergence of non-negative term series. Sequences In this section we define just what we mean by sequence in a math class and give the basic notation we will use with them. 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. Here is a list of all the sections for which practice problems have been written as well as a brief description of the material covered in the notes for that particular section. 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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