SUBJECTS / YEAR 12

MATHEMATICS ADVANCED

Functions, calculus and statistics — taught from the ground up, so you walk into every exam prepared.

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OUR TRACK RECORD

99.95 top ATAR · 86% Band 6 in Maths Adv · 5.0★ on Google

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WHO THIS COURSE IS FOR

Built for Year 12 students sitting Mathematics Advanced

The course continues our Year 11 Mathematics Advanced program and follows the NESA syllabus through every Year 12 topic. Each concept is built from fundamentals to exam-level application, keeping you comfortably ahead of your school’s schedule.

  • You want to genuinely understand maths — not just memorise it

  • You learn best through discussion in a relaxed, informal classroom

  • You want the structure and accountability of a weekly lesson

  • You appreciate extra support — in class and long after it ends

FACE-TO-FACE LESSONS

$100 / lesson

Billed termly, everything included. Averages to $40 an hour before any applicable discounts are applied.

WAYS TO SAVE

First lesson free · loyalty discount after your first term · multi-subject & sibling discounts

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Every lesson includes

You bring the pen. We bring the rest.

  • 2.5-hour weekly lessons — small class, taught systematically

  • Course notes — comprehensive, structured for note taking & revision

  • Curated workbooks — hand-picked, challenging questions

  • HSC101 access — thousands of videos, on-demand 24/7

  • Progress tracking — quizzes & homework monitoring

  • Out-of-hours support — always here and ready to help!

COURSE MAP

Every facet of the syllabus

  • Numbers and Algebra

    + Overview of the Number System
    + Surds
    + Terms and Factors
    + Expanding Brackets
    + Linear Equations
    + Linear Inequations
    + Factorisation
    + Quadratic Equations
    + Algebraic Fractions
    + Simultaneous Equations

  • Functions

    + Introduction to Functions
    + Domain and Range
    + Odd and Even Functions
    + Linear Functions
    + Quadratic Functions
    + Further Quadratic Equations
    + Sketching Polynomial Functions
    + Graphs of Some Other Basic Curves
    + Absolute Value Functions
    + Curve Sketching Techniques - Translations / Reflections / Dilations / Combinations of Transformations
    + Composite Functions
    + Rational Functions
    + Graphical Solutions and Basic Inequations
    + Regions in the Number Plane

  • Trigonometry

    + Introduction to Trigonometry
    + Special Angles and Angles of any Magnitude
    + Sine Rule, Cosine Rule and Area of Triangle
    + Radians
    + Arc length, Sectors and Segments
    + Trigonometric Identities
    + Trigonometric Graphs
    + Trigonometric Equations
    + 3D Trigonometry

  • Sequences and Series

    + Introduction to Sequences
    + Sigma Notation and Partial Sum
    + Arithmetic Sequences and Series
    + Geometric Sequences and Series, and Limiting Sum
    + Simple Applications of APs and GPs
    + Arithmetic and Geometric Means
    + Revision of Basic Financial Mathematics
    + Investment Schemes
    + Time Payments

  • Differentiation

    + Limits
    + Continuity and Differentiability
    + First Principle of Differentiation
    + Rules of Differentiation
    + Tangents and Normals
    + Implicit Differentiation (Optional)

  • Geometrical Applications of the Derivative

    + Geometric Definition of the Derivative
    + Stationary Points
    + The Second Derivative
    + Global Maximum and Minimum
    + Maximisation and Minimisation

  • Integration

    + Primitive Functions
    + Constant of Integration
    + Area Bounded between the Coordinate Axes
    + Compound Areas
    + Properties of Definite Integrals
    + Trapezoidal Rule

  • Statistics and Probability

    + Sets and Venn Diagram
    + Theoretical Probability including conditional probability
    + Discrete Random Variables
    + Continuous Random Variables
    + Bivariate Data Analysis including linear regression
    + The Normal Distribution

  • Further Calculus

    + Logarithmic, Exponential and Trigonometric Functions
    + Differentiation and Integration of Functions involving Logarithms
    + Differentiation and Integration of Exponential Functions
    + Differential and Integration of Trigonometric Functions

  • Physical Applications of Calculus

    + Gradient as a Rate
    + Natural Growth and Decay
    + Kinematics: Differentiation
    + Kinematics: Integration

The room where it clicks.

Come sit in on a lesson. It’s free.

No commitment, no payment details — just experience the class for yourself and see if we’re the right fit. Over 90% of students who try us stay for their whole HSC journey.

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