Pre-Calculus and Trigonometry

Master Teacher: Elizabeth Shimada
Duration: Yearlong course offered in fall/spring (34 weeks).
Suggested High School Credit Value: 1 credit.
Suggested Grade Level: 10th grade level and up.
Tuition: $519 for HSLDA Members / $599 for non-members.

Description: In Pre-Calculus & Trigonometry, students build upon skills learned in Algebra 2 and Geometry while learning about functions and graphs. This course is meant to prepare students for AP® Calculus AB.

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 Elizabeth Shimada.

Watch a sample clip of an Academy live class session. 

Sign up for Pre-Calculus and Trigonometry and other courses

Live Online Class Session Schedule

Dates: August 23, 2021 - May 6, 2022

Class Section

Weekly Meeting Time


Section 1: Closed Wednesdays, 9:00–10:30 a.m. Eastern

Mrs. Paige Jackson

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

Mrs. Amber Knapp

Section 3: Closed Tuesdays, 9:00–10:30 a.m. Eastern

Mrs. Heather Kipp

Section 4: Closed Mondays, 3:00–4:30 p.m. Eastern

Mrs. Dawn Pruyn

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 Pre-Calculus and Trigonometry?

    Students successfully completing this course will to be able to: 

    • Understand what a function is, understand and determine different properties of functions, evaluate a function at a given value, manipulate the function in a variety of algebraic and graphical ways, learn and work with different families of functions including conics, determine real and complex roots of polynomial functions, apply function concepts to application problems, and understand how parabolas, ellipses and hyperbola’s are mathematically represented.
    • Understand the basic trigonometric functions and the radian measurement, be able to apply unit circle and angular concepts in trigonometric applications, understand and use various identities, laws and formulas to evaluate and prove trigonometric expressions and equations and to solve trigonometric application problems.
    • Understand and solve linear, nonlinear, and multi-variable systems of equations and inequalities both mathematically and graphically.
    • Understand and use matrices, matrix operations, their inverses and determinants to solve systems of equations.
    • Understand and use vectors, dot products, complex numbers and polar coordinates to solve problems.
    • Understand and use arithmetic and geometric sequences, their sums, the binomial theorem, counting principles, permutations, combinations, and probability to solve common problems.

    Live classes will begin with prayer and have different interactive approaches to give students hands-on time with math problems as individuals and in small groups. Weekly pre-recorded lectures will show students how these math concepts are used in the real world and help students develop an appreciation for God’s masterful design in His creation.

  • How much homework is in Pre-Calculus and Trigonometry?

    We estimate that the course workload will take 5-7 hours per week.

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

    • 60-90 minutes of live class instruction
    • 3-4 lecture videos
    • 15-20 homework problems per lecture (self-graded)
    • 1 quiz
    • Textbook reading

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

    • Unit test about every 4 weeks
    • Midterm exam and final exam
  • What books will I use in Pre-Calculus and Trigonometry?

    The official booklist for Pre-Calculus & Trigonometry is available now. In the official booklist, you will find information about the editions, book descriptions, and ISBN numbers.

    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.

  • What is a Live Online Class Session in Pre-Calculus and Trigonometry?

    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 the listed Pre-Calculus and Trigonometry class time?

    All live class sessions are recorded for later viewing. While it is recommended that students attend each live class session, students can make arrangements 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 Pre-Calculus and Trigonometry?

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

    HSLDA members save $80 on yearlong high school courses in addition to Early Registration discounts!