Comprehensive Syllabus Map

Every Single Topic, Unpacked and Organised.

We break down the entire syllabus into each major topic, which are then further split into subtopics that are covered by one booklet.

7 Topics Year 11 Course Structure

01 Algebra
  • Essential Algebraic Techniques (I)
  • Algebra Involving Quadratics (II)
  • Factorisation Techniques (III)
  • Completing the Square (IV)
  • Surds and Rationalisation (V)
  • Solving Simultaneous Equations (VI)
  • Inequalities (VII)
  • Year 11 Algebra Topic Test
02 Functions
  • Functions and Relations (I)
  • Linear Functions and Direct Variation (II)
  • Quadratics and Parabolas (III)
  • The Discriminant (IV)
  • Domain and Range (V)
  • Interval Notation (VI)
  • Cubic Functions (VII)
  • Odd and Even Functions (VIII)
  • Composite Functions and Piecewise Notation (IX)
  • Polynomials and Sketching (X)
  • Absolute Values (XI)
  • Hyperbolas and Inverse Variation (XII)
  • Circles and Semi Circles (XIII)
  • Inequalities and Solving by Graphical Methods (XIV)
  • Year 11 Functions Topic Test
03 Graph Transformations
  • Vertical and Horizontal Asymptotes (I)
  • Graph Reflections (II)
  • Graph Shifts and Translations (III)
  • Graph Stretching and Dilations (IV)
  • Combined Transformations (V)
  • Graph Transformations Topic Test
04 Differentiation
  • Limits (I)
  • First Principles (II)
  • Basic Differentiation (III)
  • Further Differentiation (IV)
  • Tangents and the Normal (V)
  • Derivative Function Graphs (VI)
  • Rates of Change (VII)
  • Motion (VIII)
  • Year 11 Differentiation Topic Test
05 Trigonometry
  • Trigonometric Ratios (I)
  • Quadrants and Related Angles (II)
  • Sine and Cosine Rule (III)
  • Radians (IV)
  • Arc Length and Sector Area (V)
  • Trigonometric Identities (VI)
  • Trigonometric Equations (VII)
  • Applications of Trigonometry (VIII)
  • 3D Trigonometry (IX)
  • Trigonometry Topic Test
06 Exponentials and Logarithms
  • Index Laws (I)
  • Introduction to Logarithms (II)
  • Logarithmic Laws (III)
  • Exponential Equations (IV)
  • Logarithmic Equations (V)
  • Exponentials and Logarithms Topic Test
07 Probability
  • Introduction and Relative Frequency (I)
  • Types of Data and Frequency Histograms (II)
  • Cumulative Frequency Histograms & Ogives (III)
  • Multiplication Rule (IV)
  • Complementary Events (V)
  • Multi – Stage Experiments and Tree Diagrams (VI)
  • Sets and Venn Diagrams (VII)
  • The Addition Rule (VIII)
  • Conditional Probability (IX)
  • Independent Events (X)
  • Year 11 Probability Topic Test

6 Topics Year 12 HSC Framework

01 Further Differentiation
  • Derivative of Exponentials (I)
  • Derivative of Logarithms (II)
  • Trigonometric Derivatives (III)
  • Natural Growth and Decay (IV)
  • The First Derivative (V)
  • The Second Derivative (VI)
  • Graph Sketching With Derivatives (VII)
  • Optimisation Problems (VIII)
  • Year 12 Differentiation Topic Test
02 Further Transformations
  • Exponentials and Logarithmic Modelling (I)
  • Applying Transformations to Trig Functions (II)
  • Practical Problems Involving Periodic Phenomena (III)
  • Further Transformations Topic Test
03 Integration
  • Primitive Functions and the Anti – Derivative (I)
  • The Reverse Chain Rule and Substitution (II)
  • Definite Integrals (III)
  • Exponentials (IV)
  • Integrating to Logarithms (V)
  • Trigonometric Integrals (VI)
  • Applications of Definite Integrals to Area Under the Curve (VII)
  • Estimating Area with Trapezoidal Rule (VIII)
  • Properties of Definite Integrals (IX)
  • Further Work on Area (X)
  • Areas Bounded by the y–axis (XI)
  • Rates of Change and Motion (XII)
  • Integration Topic Test
04 Random Variables
  • Discrete Random Variables (I)
  • Mean and Variance of Discrete Random Variables (II)
  • Probability Density Functions (III)
  • Calculating Mode, Median and Percentiles (IV)
  • Cumulative Distribution Functions (V)
  • The Normal Distribution and Empirical Rule (VI)
  • Z – Scores (VII)
  • Applications of Z – Scores (VIII)
  • Continuous Probability Topic Test
05 Sequences and Series
  • Introduction to Sequences and Series (I)
  • Arithmetic Sequences (II)
  • Arithmetic Series (III)
  • Geometric Sequences (IV)
  • Geometric Series (V)
  • Applications of AP and GP (VI)
  • Sequences and Series Topic Test
06 Financial Mathematics
  • Simple and Compound Interest (I)
  • Future and Present Value Tables (II)
  • Finding the Future Value of Annuities  (III)
  • Finding the Amount Outstanding on a Loan (IV)
  • Finding the Regular Repayment needed (V)
  • Financial Mathematics Topic Test

What's Happening With the New Syllabus?

Beginning in 2026 Term 1, prelim Year 11 students sitting HSC maths will follow the new "2024" syllabus. It is referred to as the 2024 syllabus because that's the year it was announced (NOT because it was implemented then). In other words, if you are sitting the HSC in 2027 or onwards, you will follow the new syllabus!

Current Year 12 students will continue to follow the old "2017" syllabus for their exams in 2026.

How Maths Advanced Will be Affected Overall

In our opinion, although there are slight differences, the majority of changes are simply reshuffling of content, so the core foundation of Maths Advanced will not change - and minimal new theory will be added. However, understanding these changes is still important as it influences how students should revise and study each term. 

We've read through the new syllabus and summarised our key findings regarding how it's changed from the old syllabus below:

New Year 12 Topic - "Further Graph Transformations and Modelling"

Älthough it seems like a new topic, it's mainly just a reorganisation of content that was previously already in the old syllabus. This includes trigonometric graph modelling and transformations (previously Year 12 Trig), plus exponentials and Logarithmic functions modelling (previously Year 11)

Removal of Correlation and Linear Regression

Correlation and Linear regression has been removed from Year 12. Some aspects of data - namely the concepts of graphing, frequency, and cumulative frequency have been moved to Year 11

"Graph Transformations" Now in Year 11

Previously Year 12 content surrounding graph transformations for functions has now been moved to Year 11 under a new topic

Miscellaneous Changes

Discrete random variables, acceleration of a particle, logarithmic modelling and exponential growth have been moved into Year 12 from Year 11. Semicircles on the y - axis has been added as a new concept to Year 11

To find out more or to refer to official NESA resources:

  1. https://www.nsw.gov.au/education-and-training/nesa/curriculum/mathematics/mathematics-advanced-stage-6-2017
  2. https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-advanced-11-12-2024/content/year-12/fa4579cc54

How Mathify Workbooks Will be Affected

To ensure students are fully prepared under the updated syllabus, we will be releasing a new syllabus edition of our Maths Advanced workbooks soon to keep everything aligned, clear, and exam-relevant.


Our workbooks under the old syllabus will still be available for purchase throughout the year, ensuring current HSC students won't miss out. 

Our new Maths Advanced workbooks have been carefully updated in response to the revised syllabus to ensure the content, structure, and question styles reflect the latest NESA expectations as closely as possible. Just like our currently available workbooks though, where appropriate, we may sometimes explain or teach certain ideas in a slightly different way from how they are presented in the official document—because in our experience, the clearest pathway for students is not always the most technical one.


Every adjustment we make is intentional and designed to help students build stronger understanding, avoid common mistakes, and perform better under real exam conditions.