HSLDA Online Academy | Calculus AB

Calculus AB

Master Teacher:  Newton Quan

Newton Quan, High School Classroom Teacher for AP CalculusMaster Teacher

Newton Quan

BS, University of California, Irvine

Newton Quan earned his BS in applied physics from UC Irvine. In order to pursue a career in teaching, he received his California Teaching Credential from CSU San Marcos and renewed it at UC San Diego.

Newton has been teaching and tutoring for the past eleven years, beginning at the Army and Navy Academy in Carlsbad and then moving to Cathedral Catholic High School in San Diego. His teaching/tutoring career has included Physics, AP® Physics, Algebra II, Geometry, Pre-Calculus, and AP® Calculus. He is passionate about teaching math in a way that is fun (a play on the friction equation, F = uN) and helping students discover its relevance in the real world.

In addition to teaching AP® courses, he has been an ETS Reader for the AP® Physics exam. When not in the classroom, he enjoys coaching football, soccer, and lacrosse and leading campus Bible studies.

Newton developed AP® Calculus AB and Physics with Lab for the Academy and serves as the Master Teacher for both. He has been teaching with the Academy since 2016.

Classroom Teacher:  Amber Knapp

Amber Knapp, High School Classroom Teacher for Pre-CalculusClassroom Teacher

Amber Knapp

MEd, Marygrove College
BA, Spring Arbor University

Amber Knapp earned her bachelor's degree in secondary education mathematics from Spring Arbor University and her masters of education degree from Marygrove College. She taught mathematics for ten years at a local high school before moving on to several adjunct professor positions at local colleges. For the past three years Amber has been blessed to teach part-time in these positions while homeschooling her young children.

Along with teaching a variety of math courses at the high school and college levels, Amber has taught online math classes for over a decade, provided regular tutoring to homeschooled students in the area, and has recently begun working with Classical Conversations as a tutor in the Foundations program. Amber enjoys finding creative ways to present material and make it accessible for all students to learn. Coming alongside students and showing them the beauty of God's creation through the application of mathematics is a great joy for Amber—one she is excited to share with students in the Academy's online homeschool community.

In addition to home improvement projects, Amber enjoys running, reading and spending time with friends over a good cup of coffee. She lives in central Michigan with her husband Jesse and three young children, where they love serving in their church and spending time with extended family.

Amber has been teaching with the Academy since 2017.

Duration: Yearlong course offered in fall/spring (32 weeks).
Suggested High School Credit Value: 1 credit.
Suggested Grade Level: 12th grade level.
Early Registration Tuition (ends /12): $575 $625 for HSLDA Members/$675 $725 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.
Watch a short introduction from Course Developer Newton Quan.
Watch a sample clip of an Academy live class session. 

AP® Calculus AB — Live Online Class Session Schedule,
August 27, 2018 - April 26, 2019

Class Section

Weekly Meeting Time


Section 1
Tuesdays, 7:00 p.m. – 8:30 p.m. Eastern

Mr. Newton Quan

Section 2
Wednesdays, 2:00–3:30 p.m. Eastern

Ms. Amber Knapp

Additional class times may be added to the schedule later in the registration period. If you have questions, please call 540-338-8290 or email academy@hslda.org.

Frequently Asked Questions 
about AP® Calculus AB

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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 your books starting June 2018 for the 2018–19 academic year through HSLDA Online Academy’s bookstore.

    By purchasing your textbooks through the Academy’s bookstore, you may be eligible for Guaranteed Book Buyback. Please view the eligibility requirements to learn more about Guaranteed Book Buyback.

  • 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 II and Precalculus. In particular, students will need to understand the notion of functions and be familiar with trigonometric functions. To ensure that you have the math skills you will need, please download and take the following Calculus Pre-Test before registering. Then, download the Answer Key and use your score on the test to assess your readiness for the course.

    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.

    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 $100 on yearlong AP® courses!