See the 2025 AP Calculus AB exam scores our students earned HERE

Course Details

This live, year-long online AP Calculus AB course is for high school homeschoolers as well as other high school students who are supplementing their math skills.

This AP Calculus AB course, which complies with the AP Course Audit and has been approved by the College Board, covers the content of a first-semester college calculus course and is paced to help students transition smoothly into college-level mathematics. The course is rigorous but designed to support students as they build a strong and confident foundation in the central ideas of differential and integral calculus.

Prerequisites

• Students should have successfully completed the high school math sequence: Algebra 1, Geometry, Algebra 2/Trigonometry, and Precalculus.

• If you did not take Trigonometry/Precalculus, or have only taken Integrated Math 1,2,3, a Precalculus class is strongly recommended before you take AP Calculus AB.

• Students must be familiar with all advanced topics in algebra, trigonometry, analytic geometry, elementary functions: linear, polynomial, rational, transcendental (trigonometric, exponential and logarithmic), inverse functions, and piece-wise defined functions.

Assessment

• Beginning in early June, the instructor will send all registered students a questionnaire and diagnostic assessment to help them gauge whether some additional summer prep will be helpful.

• A summer prep module will be available to students who need to refresh or reinforce necessary math concepts prior to the start of class.

Format

• Students share an interactive online classroom and meet live on Zoom.

• Students who attend live classes are expected to keep their webcams on.

• Live classes will be recorded for those who miss classes or prefer to watch later.

• All work will be handwritten and instructor graded.

• There will be two live teacher-led meetings each week:

  • One meeting: focuses on content and theory, and the

  • Second meeting: focuses on solving calculus problems similar to the concepts taught in the recorded instruction and practiced in the weekly assignments.

  • Active participation is required.

• Office Hours (Optional):

  • Friday, 12-1 p.m. Eastern

  • Students can receive help with assignments, prepare for upcoming quizzes or exams, and ask questions as needed.

  • One-on-one scheduled times by appointment only

• Average weekly time estimate: 6-8 hours, including recorded and live instruction

• All Blue Tent live math classes are NCAA-approved

• See our FAQs for:

  • age/grade guidelines, prerequisites, and class fit recommendations

  • a complete list of days, times, and breaks

  • a list of CA charter schools where these courses are a-g approved

Class Content

The course is organized around the following foundational concepts of calculus:

• I. Limits: Students will gain a solid, intuitive understanding of limits and be able to compute one-sided limits, limits at infinity, infinity limits and the limit of a sequence.

• II. Derivatives: Students will learn to use different definitions of the derivative and be able to apply derivative rules and properties. Students will also become familiar with a variety of real-world applications of the derivative, including related rates, optimization, and growth and decay models.

• III. Integrals and the Fundamental Theorem of Calculus: Students will gain a firm understanding of area, volume and motion applications of integrals as well as the use of the definite integral as an accumulation function. The relationship between integration and differentiation as expressed in the Fundamental Theorem of Calculus will also be emphasized.

Foundational Elements

• Weekly announcements

• One or more 20-40 minute instructor-recorded lectures for every textbook section covered that week

• Additional learning resources

• Quizzes or exams

• Free Response Questions beginning with Chapter 1, graded with detailed instructor feedback

• Corrections allowed for learning and point recovery