This course is an in-depth and rigorous study of single variable calculus, which follows honors-level work in the Precalculus, Algebra II, and Geometry CRLS course sequence.
Major skills to be developed and mastered in the Calculus AB course will include numerical, analytical, and visual methods involved in the study of differential and integral calculus of polynomial, exponential, logarithmic, and trigonometric functions. Major skills to be developed and mastered in the Calculus AB course will include the same topics, but will also include parametric, polar, and vector functions, along with a study of sequences and series.
The skills learned in both Calculus AB and Calculus BC will be applied to model and solve problems in a variety of contexts. All topics identified in the Advanced Placement curriculum are addressed in this course.
Standards for Mathematical Practice
The 2011 framework introduces Standards for Mathematical Practice. These standards complement the content standards so that students increasingly engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle, and high school years. These standards are the same at all grades from Prekindergarten to 12th grade.
An explanation of how the standards can be highlighted in High School can be found here.
These eight practices can be clustered into the following categories as shown in the chart below:
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Habits of Mind of a Productive Mathematical Thinker:
MP.1: Make sense of problems and persevere in solving them.
MP.6: Attend to precision.
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Reasoning and Explaining
MP.2: Reason abstractly and quantitatively.
MP.3: Construct viable arguments and critique the reasoning of others
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Modeling and Using Tools
MP.4: Model with mathematics.
MP.5: Use appropriate tools strategically.
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Seeing Structure and Generalizing
MP.7: Look for and make use of structure.
MP.8: Look for and express regularity in repeated reasoning.
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