Grades 10–12 · High School

AP Pre-Calculus

Functions, trig, sequences and series — the calculus foundations that actually matter.

Length120 minutes · once a week
Tuition$800 / month
Location226 W 79th St, UWS
FormatIn-person · max 6 students
Marcelo Ambrozio, lead math teacher at School of Math

Your teacher

Marcelo Ambrozio

Co-Founder & Lead Math Teacher

MBA · B.S. Applied Mathematics, Northwestern · 20 years coaching MIT, Harvard & Stanford candidates. Meet the team →

Enroll now

Reserve your spot in AP Pre-Calculus

Pick the day that fits your week, then continue to secure payment. Your seat is held the moment your registration is paid.

Start membership

AP Pre-Calculus · Grades 10–12

$800 / month — tuition (recurring) · $99 one-time registration (placement test, written diagnostic, learning plan)
The first class you want to attend. Pick any day that matches the weekday you chose above.
Your schedule
Who is this for?
Reserve My Spot →

Stripe secure checkout · $99 registration charged today · $800/month tuition begins one day before your first class.

Want to talk first? Call (646) 668-6151 or book a free 60-minute evaluation.

About the course

What students learn

AP Pre-Calculus for 10th–12th graders aiming at AP Calculus AB or BC. We cover function families, exponentials and logs, trigonometry and trig identities, sequences and series, and the AP Pre-Calculus framework — aligned to your child's school syllabus with free-response drills. The goal is the calculus foundations that actually matter, taught with rigor.

A typical class

Sample class format · 120 minutes

Every AP Pre-Calculus class follows the same structure so students walk in knowing what to expect and walk out with a corrected mini-quiz in hand.

0:00 – 0:30
30 min

Puzzles & Enigmas

Warm-up with logic puzzles, math riddles, and short brain-teaser problems. The point is to switch the brain on without yet introducing today’s topic — students arrive at different focus levels and this 30-minute block evens the room.

0:30 – 1:00
30 min

Subject — concept & guided practice

First half of today’s topic. One AP Pre-Calc topic per meeting — function families, exponentials and logs, trigonometry, identities, or sequences. Concept-first: the instructor demonstrates one or two worked examples, then students try guided practice with the teacher walking the table.

1:00 – 1:05
5 min

Brain break

A short break — water, stretch, a quick chat. Five minutes is enough to reset focus without losing the rhythm of the class.

1:05 – 1:30
25 min

Subject — word problems & applications

Second half of the topic, focused on word problems, abstraction, and math applied to real situations. Examples we use: Modeling daily sunlight in NYC across the year (a real sinusoid); compound interest with continuous compounding (the role of e); population growth as exponential vs. logistic models.

1:30 – 2:00
30 min

Mini-quiz — corrected in class

A short timed mini-quiz on today’s topic, then we correct it together — question by question, out loud, with the right strategy spelled out for each item. Parents get the corrected paper at the end of the session so they know exactly where their child stands.

Syllabus arc

24-class rolling syllabus

Courses are rolling — a student can join at any class and continue without losing the thread. Here’s the full topic arc:

Class1Function families — linear, quadratic, polynomial, rational.
Class2Composition, inverses, and transformations.
Class3Exponential functions and the number e.
Class4Logarithmic functions and properties.
Class5Solving exponential and logarithmic equations.
Class6Trigonometry — unit circle, radians, six functions.
Class7Graphs of trig functions and transformations.
Class8Inverse trig functions and their domains.
Class9Trig identities — Pythagorean, sum/difference, double-angle.
Class10Solving trig equations.
Class11Law of sines and law of cosines.
Class12Polar coordinates and complex numbers.
Class13Sequences — arithmetic and geometric.
Class14Series — sums, sigma notation, and the binomial theorem.
Class15Convergence basics and limits at infinity.
Class16Conic sections — parabolas, ellipses, hyperbolas.
Class17Parametric equations and motion.
Class18Vectors — components, dot product, geometry.
Class19Matrices and systems of equations.
Class20Probability foundations for AP Stats prep.
Class21Modeling — choosing the right function for real data.
Class22Limits — graphical and numerical approaches (intro).
Class23Continuity and end behavior.
Class24Bridge to AP Calculus — instantaneous rate of change.

Frequently asked

Common questions from parents

How large are SOMATH classes?

Every SOMATH class is capped at 6 students. That is the number that lets one teacher see every student's work in real time, correct silent mistakes before they become habits, and pace to the room instead of the average. Larger groups defeat the whole point of small-group teaching, so we hold the cap firmly.

Where do classes meet?

In person at 226 W 79th Street, 1st Floor, New York, NY 10024 — one block from the 79th Street 1 train and a short walk from the B and C at 81st Street. We do not offer online classes; the small-group model relies on shared whiteboard work and in-room feedback.

What is included in registration?

$99 one-time registration covers a placement test, a written diagnostic, and a personalized learning plan delivered within 48 hours. Workbooks, problem sets, and printed practice tests are included at no extra charge. The $99 registration is separate from monthly tuition.

Can we pause or cancel?

Yes. Cancel anytime with 15 days written notice — no long-term contract. Up to 4 weeks of free pause per year to cover travel or family events, and one free make-up per month for a missed class (subject to available seats in another cohort).

Do you offer a free trial or evaluation?

Yes. Every new family starts with a free 60-minute evaluation in our classroom plus a written diagnostic delivered within 48 hours. There is no charge and no commitment — the diagnostic is yours to keep whether you enroll or not. Book at schoolofmath.us/evaluation or call (646) 668-6151.

Is this the new AP Precalculus course or traditional Precalculus?

Both. The syllabus fully covers the new AP Precalculus exam (polynomial and rational functions, exponential and logarithmic functions, trigonometry, and functions involving parameters) and also serves students taking a traditional non-AP Precalculus at school. Students who are sitting the AP exam get dedicated exam prep in the final classes.