Pre-Calculus Tutoring

Pre-Calculus is the bridge between Algebra and Calculus — typically taken in 11th grade. It introduces the deep function analysis, trigonometry, and mathematical reasoning that students need to succeed in Calculus and beyond. Our tutoring follows the AP Pre-Calculus framework from College Board, as well as regular (non-AP) Pre-Calculus courses, supporting students at all levels.

Aligned with AP Pre-Calculus (College Board)

AP Pre-Calculus is structured around four major units: Polynomial and Rational Functions, Exponential and Logarithmic Functions, Trigonometric and Polar Functions, and Functions Involving Parameters, Vectors, and Matrices. We cover all four units and can tailor sessions to match a student's school curriculum or prepare them for the AP exam. Learn more at College Board AP Pre-Calculus.

Example Topics We Cover

Function Foundations (Prerequisite Skills)

  • Domain, range, and function notation
  • Composition and inverse functions
  • Transformations: shifts, reflections, stretches
  • Piecewise and absolute value functions
  • Sequences and series (arithmetic and geometric)

Unit 1: Polynomial & Rational Functions

  • Rates of change and function behavior
  • Polynomial functions, zeros, and end behavior
  • Polynomial division and the remainder theorem
  • Rational functions and their graphs
  • Holes, vertical and horizontal asymptotes
  • Inequalities involving polynomials and rationals

Unit 2: Exponential & Logarithmic Functions

  • Exponential growth and decay
  • Properties of logarithms
  • Natural log and base-e functions
  • Solving exponential and logarithmic equations
  • Modeling with exponential and log functions
  • Semi-log and log-log graphs

Unit 3: Trigonometric & Polar Functions

  • Radian measure and the unit circle
  • Sine, cosine, tangent and their graphs
  • Amplitude, period, phase shift, and vertical shift
  • Inverse trig functions
  • Polar coordinates and polar graphs
  • Sinusoidal modeling

Unit 4: Parameters, Vectors & Matrices

  • Parametric equations and their graphs
  • Vector magnitude, direction, and operations
  • Dot product and vector applications
  • Matrix operations and systems of equations
  • Matrix inverses and determinants
  • Transformations using matrices

Why ClubZ! Academy for Pre-Calculus

1

Pre-Calculus builds on everything from Algebra and Geometry. We start by identifying any gaps in prior knowledge before moving into new material — so students aren't trying to learn new concepts on a shaky foundation.

2

We follow the AP Pre-Calculus framework from College Board, which means students taking the AP course or exam get targeted, exam-aligned support — not just general math help.

3

Pre-Calculus is the direct gateway to Calculus. We make sure students finish with a strong command of functions, trigonometry, and mathematical reasoning so Calculus feels like a natural next step.

Book a free consultation to learn how we can support your student in Pre-Calculus

Call 425-429-7268 or leave us a message.