Calculus AB

Master Teacher: Amber Knapp
Duration: Yearlong course offered in fall/spring (34 weeks).
Suggested High School Credit Value: 1 credit.
Suggested Grade Level: 12th grade level.
Tuition: $619 for HSLDA Members / $744 for non-members.

Description: In AP® Calculus AB, students explore the wonder of creation through mathematics. The course stresses both conceptual understanding and fluency in mathematical procedures. Students are challenged not only to get the right results but also to be able to justify their conclusions.

Did you know that you can earn Dual Credit by taking this course? Please see our FAQs below for more details.

Watch a short introduction from Course Developer Newton Quan.

Watch a sample clip of an Academy live class session. 

Sign up for Calculus AB and other courses

Live Online Class Session Schedule

Dates: August 23, 2021 - April 29, 2022

Class Section

Weekly Meeting Time


Section 1: Closed Mondays, 2:00–3:30 p.m. Eastern

Mrs. Amber Knapp

Additional class times may be added to the schedule later in the registration period. Please note: all class times are subject to the availability of each individual instructor. See this page for more information. If you have questions, please call 540-338-8290 or email

Frequently Asked Questions

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  • What topics will I learn about in Calculus AB?

    This course stresses the dual goals of conceptual understanding of calculus and fluency in the procedures that accompany the understanding of calculus concepts. The following major ideas will be introduced during the year: limits, derivatives, and integrals of polynomial, rational, exponential, and trigonometric functions and their inverses. Students will develop the skills necessary to apply calculus in solving a variety of practical problems. They will discover the importance of calculus to modern science and technology, and will learn to apply elementary calculus to the definition and solution of physical problems. Instruction is integrated with a biblical worldview to help students explore and discover God’s purpose in creating the beauty and precision of the mathematical sciences. The purpose of this course is to prepare students to take the Advanced Placement® Calculus AB examination given each spring, for which placement and/or credit may be awarded at the college level if a qualifying score is obtained. Content of this course corresponds to the College Board’s guidelines for Calculus AB. Course goals include:

    • Working with functions represented in a variety of ways—graphically, numerically, analytically, or verbally—and understanding the connections among these representations.
    • Understanding the meaning of the derivative in terms of a rate of change and local linear approximation, and using derivatives to solve a variety of problems.
    • Understanding the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change, and using integrals to solve a variety of problems.
    • Understanding the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
    • Communicating mathematics both orally and in well-written sentences and to explain solutions to problems.
    • Modeling a written description of a physical situation with a function, a differential equation, or an integral.
    • Using technology to help solve problems, experiment, interpret results, and verify conclusions.
    • Determining the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.
    • Developing an appreciation for calculus as a coherent body of knowledge and as a beautifully elegant, yet eminently practical aspect of God’s creation.

    Instruction will be given primarily through pre-recorded lectures. Reinforcement will take place through assigned practice, as well as a variety of opportunities for assistance and feedback, including weekly online class discussions.

  • How much homework is in Calculus AB?

    AP® Calculus AB is a rigorous, college-level course. The College Board recommends this course and corresponding AP® exam for advanced 11th grade students and up.

    We estimate that the course workload will take 10+ hours per week.

    During a typical week in this course, students will complete the following coursework:

    • 60-90 minutes of live class instruction
    • 3 lecture videos
    • 10-15 practice problems per lecture
    • Discussion forum
    • 1 homework quiz

    Throughout the year, students will also complete the following tasks:

    • Unit exam every 4 weeks
    • Final exam (mock AP® Exam)
  • What books will I use in Calculus AB?

    The official AP® Calculus AB Booklist is now available. Please note that a TI-84 model or higher graphing calculator is required for this course.

    You can order course materials for competitive prices through the bookstore. Use the Textbook Finder to locate the required resources for your courses. Please note that while most books are available through, some titles are not carried and will need to be purchased elsewhere.

  • Am I ready to take Calculus AB?

    This is a rigorous, college-level course. HSLDA Online Academy recommends that students have a strong background in mathematics before enrolling in AP® Calculus AB, preferably having completed courses in Algebra 2 and Pre-Calculus & Trigonometry. In particular, students will need to understand the notion of functions and be familiar with trigonometric functions.

    Please visit the College Board page about AP® Calculus AB for a detailed list of topics students should be familiar with prior to taking the course and for more information about the material and skills students will study in the course and will need to master for the AP® exam in this subject.

    For help determining if your student is ready for this course, please use our self-graded AP® Calculus AB Readiness Test.

    Still have questions about whether you are ready for an AP® course? Please visit our Academic Readiness page for more information.

  • What is a Live Online Class Session in Calculus AB?

    In every HSLDA Academy course, students meet weekly with their instructor and classmates in an online classroom for additional teaching, discussion, Q&A, or group activities. The class sessions are interactive and are conducted using a web meeting software with video, audio, chat, and application sharing capabilities.

    Scheduled, real-time sessions in the online classroom are not the only form of instruction available in a HSLDA Online Academy course, but are offered in addition to lectures or other instructional materials that students are able to access online at their convenience.

    When they register, students will need to select a particular class section and live class meeting time. Additional class sections may be added to the schedule at a later point in the course registration period. Registered students will be notified of any changes to the live session schedule.

  • What if I have a schedule conflict with listed Calculus AB class times?

    All live class sessions are recorded for later viewing. While it is recommended that students attend each live class session, students can make arrangements with their instructors to watch the recordings and receive full participation credit.

    Students should contact their instructor at the start of their course to inform the instructor of any foreseen schedule conflicts.  

  • What is the tuition for Calculus AB?

    Please visit our tuition and discounts page for a full summary about course costs.

    HSLDA members save $125 on yearlong AP® courses in addition to Early Registration discounts!