Pre-Calculus A

How do I use math to explain my world?

Pre-Calculus A

Pre-Calculus A prepares students for advanced math classes in college.

Why Take This Course?

Trigonometry is one of the most-used branches of mathematics. For instance, it is used in construction to calculate roof pitch. It is used in physics to calculate the strength of forces in various directions. Pretty much any problem in the universe that involves a triangle or cyclical motion can be solved using trigonometry. In PreCalculus A, we explore the applications of trigonometry, vectors, and complex numbers with projects and in-class discussions that will allow you to think creatively and apply math concepts to solve relevant problems.

Course Framework

Unit 1Unit 2Unit 3Unit 4
How can I use vectors to describe my world?How can I use trigonometry to describe my world?How can I use sinusoidal functions to model my world?What are complex numbers and why are they useful?
How can I use trigonometric functions to solve for sides and angles of right triangles?What are the most common trigonometric identities and why are they useful?How can I solve sinusoidal functions?How are complex numbers similar to previous topics?
How can I use vectors to solve problems?How can I use my understanding of trigonometry to solve a complex trigonometry problem?How can I graph sinusoidal functions?How can I convert between polar and rectangular forms of complex numbers?
How can I convert between component and magnitude/direction forms of vectors?What does a high-quality mathematical paper/report look like?How can I use sinusoidal functions to model real world situations?

Texts and Materials Students Must Purchase

  • Students must create an account in Khan Academy and add Williamsburg Academy as their coach.
  • Students taking the self-paced version of this course do not need to purchase any texts or materials.
  • Students taking the self-paced or independent version of this course do not need to purchase any texts or materials.


  • Recommended Grade: 11th (Junior), 12th (Senior)
  • Prerequisites: High School Math 3B, Algebra 2B
  • Versions & Estimated Weekly Hours: 7*
  • Format: Live / Self-Paced / Independent
  • Credits: 0.5

*Math students will spend four hours in live workshops with a mentor or tutor and an estimated 30 minutes a day practicing math.

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