NSW Year 11 Math Advanced (2026 Curriculum) - Coursebook
Year 11 Advanced is a significant step up in depth and pace, written for the new NSW syllabus starting in 2026. Nothing is assumed and no steps are skipped, with a fully worked solution for every question.
Both formats: a fully worked solution for every question · QR-code video tutorials · aligned to the NSW Year 7 syllabus
The Challenge
Year 11 Mathematics Advanced represents a significant step up in both depth and pace. With the new NSW syllabus commencing for students starting Year 11 in 2026.
Many students struggle when textbooks assume prior knowledge or skip key working steps, while parents often want to help but find it difficult to follow modern methods.
Our Solution
The Class Mathematics NSW Year 11 Mathematics Advanced Coursebook is fully aligned to the new NSW Mathematics Advanced syllabus. All content in this book is examinable and directly supports success in both Year 11 and preparation for Year 12.
Every topic is explained clearly and every question includes a fully worked solution, allowing students to follow complete methods, check their understanding, and learn independently with confidence.
Why This Book Works
- Step-by-step methods shown clearly – no skipped working
- Fully worked solutions for every question
- Explanations written for student understanding
- Carefully structured progression – from algebraic foundations to calculus and advanced functions
- Strong preparation for Year 12 Mathematics Advanced
Who This Book Is For
This book contains 11 chapters and includes the following topics:
- 1 Algebra Methods
- 2 Surds
- 3 Functions and Graphs
- 4 Equations and Inequations
- 5 Translations and Symmetry
- 6 Trigonometry
- 7 Lines In The Coordinate Plane
- 8 Calculus
- 9 Logs and Exponentials
- 10 Probability
- 11 Data
Each chapter includes clear theory, worked examples, graded practice questions, and fully worked solutions. QR codes throughout link to short video tutorials for additional support.
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
Data
- Relative Frequency
- Cumulative Frequency
- Grouped Data
Inside the book
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