SUBJECTS / YEAR 10

MATHEMATICS ADVANCED

Curve sketching, circle geometry, polynomials and logarithms - finish Stage 5 ready for the Advanced / Extension pathway.

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OUR TRACK RECORD

99.95 top ATAR · Our Stage 5 students move on to Extension maths · 5.0★ on Google

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WHO THIS COURSE IS FOR

Built for Year 10 students securing the Adv / Ext pathway

Developed for Year 10 students studying Mathematics Advanced (5.3), completing Stage 5 with the depth that senior maths assumes. We consolidate every 5.3 topic, extend into the algebra and functions that Year 11 Advanced and Extension 1 build on, and lock in the study habits that carry through to the HSC.

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

  • You’re aiming for Advanced/Extension pathway for Year 11/12

  • 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

$70 / lesson

Billed termly, everything included. Averages to $35 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-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

    + Simplifying surds
    + Rationalising the denominator
    + Expanding brackets: distributive law
    + Expanding brackets: quadratics and cubics
    + Revision of factorisation techniques (common factors, difference of two squares and grouping in pairs)
    + Factorisation of quadratic trinomials
    + Factorisation of sum and difference of two cubes
    + Revision of indices (index laws / negative and fractional indices)
    + Revision of algebraic fractions (simplification / multiplication&division / addition&subtraction)
    + Simplifying compound algebraic fractions

  • Equations

    + Solving linear equations (and problem solving applications)
    + Formulae (rearranging the subject)
    + Linear inequations
    + Revision of quadratic equations (by factorisation / completing the square / the quadratic formula)
    + Equations reducible to quadratics
    + Quadratic equations and problem solving
    + Further quadratic equations: theory of the discriminant
    + Further quadratic equations: nature of parabola
    + Further quadratic equations: intersection points and the discriminant
    + Further quadratic equations: relationship between roots and coefficients

  • The Cartesian Plane

    + Revision of basic coordinate geometry techniques (distance, midpoint and gradient)
    + Angle of inclination
    + Working with linear equations (graphing lines and finding their equation)
    + Applied coordinate geometry
    + Sketching parabolas (general methodology)
    + Sketching parabolas (by finding the vertex)
    + Quadratic inequations
    + Maximisation and minimisation of quadratics
    + Further curve sketching: sketching power curves
    + Further curve sketching: sketching exponential graphs
    + Further curve sketching: sketching hyperbolas
    + Further curve sketching: sketching circles
    + Curves and intersections



  • Trigonometry

    + Revision of trigonometric ratios
    + Angles of any magnitude (related angles and ASTC)
    + Special angles
    + The sine rule
    + The cosine rule
    + Area of triangle formula

  • Revision Topics (Harder)

    + Euclidean geometry
    + Financial mathematics
    + Measurement
    + Statistics and probability

  • Circle Geometry (Extension)

    + Properties of a circle

    + Chord theorems
    
+ Angle theorems
    + Cyclic quadrilaterals
    + Tangent theorems
    + Alternate segment theorem
    + Intercept theorems

  • Logarithms (Extension)

    + Logarithmic form
    + Logarithmic laws
    
+ Change of base formula
    + Solving exponential equations

  • Polynomials (Extension)

    + Terminology of polynomials
    + Polynomial long division
    + Remainder theorem
    + Factor theorem
    + Graphs of polynomial functions

Extension students are made in Year 10

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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