Functions
Algebraic techniques, quadratic and polynomial behaviour, inverse relationships and the graphing skills that underpin every other strand.
- Functions
- Quadratic Functions and Equations
- Polynomial Functions
NSW Mathematics Advanced Stage 6 syllabus strand structure, expressed in Dux teaching language.
Dux tracks each dot point separately, so “I did Mathematics Advanced” becomes a list of specific things you can already do and specific things you have never been asked. Open a module for all of its dot points, written out.
Algebraic techniques, quadratic and polynomial behaviour, inverse relationships and the graphing skills that underpin every other strand.
Radian measure, the trigonometric functions as graphs rather than triangle ratios, identities and equations.
Limits, differentiation and integration, and the applications that make calculus a tool rather than a procedure.
Growth and decay, the logarithm as an inverse, and the calculus of both, which is where most real modelling lives.
Probability, discrete and continuous random variables, the binomial and normal distributions, and bivariate analysis.
A Mathematics Advanced paper is not one question type repeated. Each command word asks for a different shape of answer, and each is worth a different number of marks.
| Command word | Question type | Marks |
|---|---|---|
| analyse | Calculation | 3–5 |
| analyse | Short answer | 3–5 |
| calculate | Calculation | 2–4 |
| calculate | Multiple choice | 1 |
| determine | Multiple choice | 1 |
| explain | Short answer | 2–4 |
| identify | Multiple choice | 1 |
| solve | Problem solving | 4–6 |
| solve | Calculation | 3–5 |
| solve | Short answer | 2–4 |
HSC Mathematics Advanced - Trial Paper Shape — 100 marks, 180 minutes. Practice papers in Dux are assembled to this shape rather than invented, so the timing is training too.
Diagnostic first, then questions written in the shape this course uses. Written answers come back marked against the bands, not just scored.