SUBJECTS / YEAR 9
MATHEMATICS ADVANCED
Stage 5 begins here — trigonometry, quadratics and the groundwork for Advanced and Extension maths.
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
Build for Year 9 students starting Stage 5 ahead
Year 9 is the first year of Stage 5 — where trigonometry, quadratics and non-linear graphs appear for the first time, and where the gap between coasting and excelling starts to widen. The program teaches every new concept from first principles and keeps students working comfortably ahead of school.
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
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
+ The number system
+ Simplifying surds
+ Rationalising the denominator
+ Introduction to algebra
+ Expanding brackets
+ Special binomial expansions
+ Factorisation techniques (common factors, grouping in pairs and difference of two squares)
+ Factorisation of quadratic trinomials
+ Indices and fundamental index laws
+ Negative and fractional indices
+ Simplifying algebraic fractions
+ Multiplication and division of algebraic fractions
+ Addition and subtraction of algebraic fractions -
Equations
+ Solving linear equations (and problem solving applications)
+ Formulae (rearranging the subject)
+ Linear inequations
+ Solving simultaneous equations by substitution
+ Solving simultaneous equations by elimination
+ Simultaneous equations and problem solving
+ Solving quadratic equations by factorisation
+ Solving quadratic equations by completing the square
+ Solving quadratic equations by the quadratic formula
+ Quadratic equations and problem solving -
The Cartesian Plane
+ Distance, midpoint and gradient
+ Equations of lines and their graphs
+ Applied coordinate geometry
+ Shading regions
+ Sketching parabolas (general methodology)
+ Sketching parabolas by completing the square -
Statistics and Probability
+ Introduction to statistics
+ Graphical representation of data
+ Cumulative frequency (distribution, polygon/ogive and curve)
+ Data analysis: measure of central tendency (mean, mode and median)
+ Data analysis: measure of spread (range, interquartile range, variance and standard deviation)
+ Box-and-whisker plot
+ Introduction to probability
+ Experimental vs theoretical probability
+ Compound events: independent vs dependent events; tree diagram
+ Mutually exclusive events -
Financial Mathematics
+ Income
+ Tax and deductions
+ Consumption
+ Simple and compound interest
+ Depreciation -
Geometry
+ Basic angle theorems
+ Parallel lines and transversals
+ Triangle theorems and special triangles
+ Quadrilaterals and special quadrilateral properties
+ Polygon angle theorems (interior and exterior angles)
+ Congruence (proving congruent triangles)
+ Similarity (proving similar triangles) -
Measurement
+ Pythagoras' Theorem
+ Perimeter of plane figures
+ Area of plane figures
+ Arcs and sectors
+ Surface area of solids
+ Volume of solids
+ Similarity of figures and solids (area and volume) -
Trigonometry
+ Introduction to trigonometric ratios (right-angled trigonometry)
+ Applications of trigonometry: angles of elevation and depression
+ Applications of trigonometry: bearings
Good habits compound, so do gaps
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.
Got some questions? See our FAQ →