AP Calculus AB is designed to deepen students' understanding of calculus concepts while providing hands-on experience with various methods and applications. By focusing on the big ideas of calculus—such as modeling change, approximation and limits, and function analysis—this course creates a cohesive learning experience rather than a collection of unrelated topics. Students will use definitions and theorems to build arguments and justify conclusions, employing a multi-representational approach where concepts, results, and problems are expressed graphically, numerically, analytically, and verbally. This approach helps students understand how calculus applies limits to develop important ideas, definitions, formulas, and theorems. Clear communication of methods, reasoning, justifications, and conclusions is emphasized throughout the course. Technology is regularly used to reinforce relationships among functions, confirm written work, implement experimentation, and assist in interpreting results.

Designed to be equivalent to a first-semester college calculus course, AP Calculus AB covers topics in differential and integral calculus. Before enrolling, students should have completed four years of secondary mathematics, including courses in algebra, geometry, trigonometry, analytic geometry, and elementary functions. These functions encompass linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions. Students must be familiar with the properties, composition, algebra, and graphs of functions, as well as the language of functions, including domain and range, odd and even, periodicity, symmetry, zeros, intercepts, and descriptors such as increasing and decreasing. Additionally, students should understand how sine and cosine functions are defined from the unit circle and know the values of trigonometric functions at key angles and their multiples.

Enroll in AP Calculus AB to equip your child with the skills and knowledge needed for success in college-level calculus. 

Course Eligibility Recommendation: Students can take AP courses in 10th, 11th or 12th grade provided they have a GPA of 3.0 or higher.

Students must register for the AP Exam through the College Board, following their instructions for homeschooled, independent study, and virtual school students.