Course Index

NSW Year 11 (2026) Maths Advanced (2026) Topics

Below are the topics that sit within NSW Year 11 (2026) Maths Advanced (2026). When you click on a certain topic, you will be take to all the subtopics.

Algebra Methods

Basic Algebra
Expanding Brackets
Factoring
Algebraic Fractions
Solving Linear Equations
Solving Quadratic Equations
Solving Simultaneous Equations
Completing the Square

Surds

Addition and Subtraction of Surds
Multiplication and Division of Surds
Rationalising the Denominator

Functions and Graphs

Function Notation
Functions and Relations
Linear Functions
Quadratic Function
Completing The Square And The Graph
The Quadratic Formula And The Graph
Square Root Function and Circle
Cubics and Polynomials
Direct And Inverse Variation
Exponential and Hyperbolic Functions
Types of Relations

Equations and Inequations

Linear Equations And Inequations
Quadratic Equations And Inequations
The Discriminant
Quadratic Identities

Translations and Symmetry

Translations of Graphs
Reflections in the Coordinate Axes
Even and Odd Functions
Horizontal And Vertical Dilations
Absolute Value Function
Composite Functions
Combining Transformations
Continuity And Piecewise-Defined Functions

Trigonometry

Right Angled Triangles
Exact Values
Cosine Rule
Sine Rule
Area Rule
Ambiguous Case
Elevation And Depression
Bearings
Three Dimensional
Radians
Angles of any Magnitude
Sectors
Segments
Identities
Trig Equations

Lines In The Coordinate Plane

Lengths And Midpoints Of Line Segments
Gradients Of Line Segments And Lines
Equations Of Lines
Using Pronumerals In Place Of Numerals

Calculus

Continuity
Gradients of Secants
Gradients of Tangents
Equations of Tangents
Increasing or Decreasing Rates
Difference Quotients
Stationary Points
Average Velocity
Instantaneous Velocity
Standard Derivative (SD)
Standard Derivative Applied to Negative Indices
Standard Derivative Applied to Fractional Indices
Chain Rule
Product Rule
Quotient Rule
Normals
Instantaneous Acceleration
Derivative Problems

Logs and Exponentials

Index Laws (Integer Indices)
Index Laws (Fractional Indices)
Exponential Equations
Logarithms
Solving Equations with Logarithms
Exponential Functions
Applications of Exponential Functions
Natural Logarithms
Graphs of Exponential and Logarithmic Functions
Logarithms in the Real World

Probability

Sample Space
Venn Diagrams
Conditional Probability
Independent Events
Sampling With Replacement
Sampling Without Replacement

Discrete Probability Distributions

Language of Probability Distributions
Expected Value
Variance and Standard Deviation

Data

Relative Frequency
Cumulative Frequency
Grouped Data