
Precalculus Fundamentals
Precalculus Fundamentals is the year-round supplemental class for high school students who are serious about truly owning the material — not just passing it.
Starts Tue, Nov 3
12:30 AM UTC · 1h
4 sessions

Ethan
4.1
Outcomes, not lecture notes.
Master all six trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) and apply SOH CAH TOA fluently to solve right triangles
Navigate the unit circle with confidence — reading coordinates, converting between degrees and radians, and evaluating trig values for common angles from memory
Solve trigonometric equations algebraically, including finding all solutions by accounting for periodicity and multiple rotations
Apply the Law of Sines and Law of Cosines to non-right triangles, including handling the ambiguous SSA case
Use inverse trigonometric functions (arcsin, arccos, arctan) to recover angle measures from known ratios
Simplify and perform arithmetic operations on rational expressions, including identifying variable restrictions
Determine horizontal, vertical, and slant asymptotes of rational functions and use polynomial long division to find linear asymptote equations
Graph rational functions completely by combining asymptote analysis, intercepts, and key behavior
Meet Ethan.

Ethan
Given his status as an Eagle Scout, it's only understandable that Ethan has a passion for helping students "always be prepared" for their next high stakes exam. After all, that philosophy earned him a 1550 on the SAT and perfect 5 on eleven AP exams, and continues to serve him well as a Presidential Scholarship winner at the University of Florida and as a Varsity Tutors instructor.
Precalculus Fundamentals is the year-round supplemental class for high school students who are serious about truly owning the material — not just passing it. While school moves at a fixed pace and tests come and go, this class gives driven students the space to build the kind of deep, durable mastery of precalculus that pays dividends in calculus, on standardized tests, and in every advanced math course ahead. Students work through the core pillars of precalculus — trigonometric functions, the unit circle, Laws of Sines and Cosines, rational expressions, and asymptote analysis — with the depth and repetition that a packed school schedule rarely allows. This is the strategic move that separates students who truly know precalculus from those who only think they do.
Make the Basics Automatic When a student is still working hard on factoring or function notation, there's little attention left for the new idea that builds on it. We revisit those foundations until they're automatic, so students' brainpower goes where it's needed most.
Lock In This Year's Learning Precalculus moves fast, and each unit leans on the last. We circle back to key concepts from earlier in the year, like function transformations or right-triangle trigonometry, so later units have something solid to build on.
Tackle What's in Front of You Whatever unit your class is in right now, from functions and polynomials to trigonometry, the unit circle, and vectors, students get guided practice and clear strategies for the kinds of problems they're seeing in school this month.
Preview What's Next Wouldn't we all love a sneak peek at our next challenge before the clock starts ticking and the points start counting? We preview upcoming concepts, like the unit circle or trigonometric identities, so new topics feel familiar instead of intimidating.
Live Q&A
Cameras / mics optional
Recordings
Available within 1 hour, kept 90 days
Materials
No special materials required
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free with a Varsity Tutors membership
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Precalculus Fundamentals


