NSW Year 11 Math Extension 1 (2026 Curriculum) - Coursebook
Extension 1 introduces abstract reasoning and multi-step algebra where precision matters, 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 Extension 1 represents a significant step up in difficulty. Students are introduced to more abstract concepts, multi-step reasoning, and algebraic techniques that require precision and depth of understanding.
Many students struggle not because they lack ability, but because textbooks often skip steps, assume prior knowledge, or provide answers without showing the full method. Parents also want to help but may find Extension-level mathematics difficult to support without clear explanations.
Our Solution
The Class Mathematics NSW Year 11 Extension 1 Mathematics Coursebook is fully aligned to the new NSW syllabus for students starting Year 11 in 2026. It is designed specifically to support students through the increased rigor of Extension mathematics.
Every topic is explained step by step, and every question includes a fully worked solution. This allows students to learn independently, revisit difficult concepts, and clearly see how complex problems are constructed and solved.
Why This Book Works
- Fully worked solutions for every question – no skipped steps
- Clear, structured explanations – written for student understanding
- Extension-level problem solving – broken down logically
- Progressive difficulty – within each topic
- Ideal for independent study, tutoring and revision
Who This Book Is For
This book contains 5 chapters and includes the following topics:
- 1 Functions
- 2 Polynomials
- 3 Trigonometry
- 4 Permutations and Combinations
- 5 The Binomial
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.
Functions
- Inequalities -Quadratic
- Inequalities -X In Denominator
- Inequalities -Absolute Value
- Reciprocal Functions
- Square Root Functions
- Absolute Value Functions
- Graphing-Adding Ordinates
- Graphing-Multiplying Ordinates
- Parametric Form
- Inverse Functions
Polynomials
- Remainder Theorem
- Factor Theorem
- Roots and Coefficients
- Multiplicity of Roots
- Polynomial Graphs
Trigonometry
- Three Dimensional
- Sums And Differences of 2 Angles
- Double Angle Formulae
- Identities
- Compound Angle Equations
- Auxiliary Angle Method
Permutations and Combinations
- Counting Principle
- Pigeonhole Principle
- Permutations
- Identical Objects
- Combinations
- Applications In Probability
The Binomial
- Pascals Triangle
- Binomial Theorem
- Binomial Expansions
Inside the book
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SAMPLESample teaching pages — how a topic is explained
SAMPLESample worked answers — every question, fully solved
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