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AP Precalculus, course and exam

Functions in depth — the course that prepares for AP Calculus. One-to-one and online, with the AP Exam in view from the start.

What this covers in detail

Unit 1: Polynomial and Rational Functions

Rates of change, zeros, end behavior, asymptotes and holes, and modeling with polynomial and rational functions.

Unit 2: Exponential and Logarithmic Functions

Sequences, exponential and logarithmic functions and their inverses, equations, and modeling data.

Unit 3: Trigonometric and Polar Functions

Periodic phenomena, sine, cosine and tangent, inverse trigonometric functions, and polar coordinates and graphs.

Unit 4: Functions Involving Parameters, Vectors, and Matrices

Taught in many schools but not assessed on the AP Exam: parametric functions, vectors and matrices.

AP Precalculus is about understanding functions well enough to model with them: how they change, how to build them and how to justify a conclusion. The exam rewards explanation as much as calculation. These lessons practice both.

What this covers

Units 1–3 are the exam

The AP Exam assesses the first three units. Preparation concentrates there, and supports Unit 4 for the class grade.

Explaining, not just solving

Free-response questions ask for reasoning in words. Lessons practice writing answers that earn the points.

Calculator and no-calculator

The exam has parts with and without a graphing calculator. Both are practiced.

Pricing

Choose the support that fits.

One-to-one tutoring, from a single session to consistent weekly progress.

Your first 30 minutes are free.

Start with a free 30-minute assessment. We will understand what the student needs and recommend the right plan.

Every plan includes live one-to-one lessons.

The Noktua practice platform is free with every account — even if you have not booked a lesson yet.

  • Single Sessions

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    • ✓ Session summary notes
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    For students who want consistent learning and steady progress.

    €30 / hour
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    • ✓ Progress tracking & homework support
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  • 2-WEEK INTENSIVE

    Exam Preparation Sprint

    For students with an upcoming test or exam who need focused preparation over a short period.

    €34 / hour
    • ✓ 8 hours of focused tutoring over 2 weeks
    • ✓ Targeted revision of key topics
    • ✓ Exam-style exercises and practice
    • ✓ Custom study materials
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Lessons at the student's home carry an extra charge of €10/hour.

Common questions

Is AP Precalculus needed before AP Calculus?

A precalculus course is — AP or not. AP Precalculus is a strong preparation for Calculus AB or BC.

Do you prepare for the AP Exam?

Yes — with released questions, timed practice and the digital Bluebook format.

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