Field of Study
Advanced Placement Calculus AB Content includes concepts and applications of differential and integral calculus. Course instruction is focused on the presentation of topics graphically, numerically, analytically and verbally.
Students will study concepts and applications of differential and integral calculus. There are seven modules for this course: Module 1: Preparation for Calculus; Module 2: Limits and Continuity; Module 3: Derivatives; Module 4: Applications of Derivatives; Module 5: Integration; Module 6: Differential Equations and Mathematical Modeling; Module 7: Applications of Integration. There are also an AP exam review Module and a Final Project.
A variety of assessments are used which include, but are not limited to, homework, discussion posts, quizzes, tests, and dropbox assignments. Students will practice with released free response questions. Students are expected to complete all course work according to the schedule posted by the instructor. Students should plan on several hours per week of work outside of the regular school day. Assessments include calculator and non-calculator questions. Semester and Final exams follow the format of the AP exam.
Each module in this course contains at least one discussion board activity. Students use the equation editor for all discussions throughout the year to practice notational fluency. Throughout the course, students must clearly present their methods and reasoning and justify their answers using correct notation and units.
At the conclusion of the course, students will be prepared to take the Advanced Placement AP AB Calculus exam, and are expected but not required to do so. As mandated by the College Board, graphing calculators are required for this course. Any technology that will enhance student learning should be used if available. Instructional activities that engage students in solving application problems of varying complexities are emphasized.
All students should complete the equivalent of four years of secondary mathematics designed for college-bound students; courses which should prepare them with a strong foundation in reasoning with algebraic symbols and working with algebraic structures. Prospective calculus students should take courses in which they study algebra, geometry, trigonometry, analytic geometry, and elementary functions.
- Successful completion of four years of secondary mathematics including Algebra I, Geometry, Algebra II, *Trigonometry
- Pre-Calculus/Mathematical Analysis
* To satisfy the prerequisite for Trigonometry, at least one of the courses listed above should include the following core concepts: trigonometric functions, inverse trigonometric functions, the unit circle and graphs of trigonometric functions.
Course Texts and Materials
- Calculus for AP Student Edition + enhanced Web Assign (1-year access) by Ron Larson and Paul Battagila. (Physical Textbook and WebAssign Access) ISBN 9781337011686
- Web Assign Instant Access K12 Calculus for AP by Ron Larson and Paul Battagila (Digital Textbook and WebAssign Access) ISBN 9781337940320
- Graphing Calculator: TI-Nspire, TI 83/84