Year 10 Mathematics
Finishing Stage 5 strongly — mastering quadratics, trigonometry, and formal proof for HSC pathway success.
Course Structure
Forty lessons across four terms
Each term focuses on a different strand of mathematics, completing Stage 5 and preparing for Year 11 pathways.
Algebra & Indices
Algebra mastery, manipulation, and proof
Review of Algebraic Expressions
- Expanding brackets
- Factorising common factors
- Simplify complex expressions
Factorisation Techniques
- Difference of two squares
- Simple quadratics (intro)
- Apply factorisation strategies
Index Laws
- Multiplying, dividing, powers of powers
- Negative indices
- Apply index laws fluently
Surds
- Simplifying surds
- Operations with surds
- Rationalise denominators
Algebraic Fractions
- Simplifying
- Substitution
- Apply fraction skills to algebra
Linear Equations
- Multi-step equations
- Equations with variables on both sides
- Check solutions
Problem Solving with Algebra
- Translating word problems
- Logical structure
- Justify solution strategies
Algebraic Reasoning & Proof
- Justifying steps
- Explaining solutions clearly
- Mathematical communication
Exam Preparation
- Algebra drills
- Common mistakes
- Exam strategy
Term 1 Exam
- Assessment of algebra & indices
- Reasoning-based questions
Structured learning materials
Every page is carefully selected and organized with clarity and understanding in mind — materials designed to support the KEY Method approach.
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Designed for clarity
Our Mathematics materials build conceptual understanding through visual explanations, worked examples, and graduated practice.
Our Approach
The KEY Method in Mathematics
Every lesson is designed around three principles: structured Knowledge, active Engagement, and measurable Yield — all informed by your child's MindPrint cognitive profile.
Algebraic Mastery
Complete algebra fluency including quadratics, surds, and algebraic fractions — essential for all Year 11 mathematics pathways.
Trigonometric Proficiency
Comprehensive trigonometry skills with real-world applications, preparing for Advanced and Extension mathematics.
Quadratic Reasoning
Deep understanding of quadratic expressions, equations, and graphs — foundational for senior mathematics.
HSC Pathway Ready
Strategic preparation for Mathematics Standard, Advanced, or Extension 1 with strong emphasis on reasoning and proof.
Powered by MindPrint™
Every lesson is tailored to your child's unique cognitive profile. MindPrint assessment reveals how your child processes information, allowing us to adapt pacing, structure, and task design to their specific strengths and challenges.
Learn About MindPrintHow We Teach
Designed for HSC pathway success
Formal proof
Develop rigorous mathematical reasoning and proof skills essential for senior mathematics.
Multi-step reasoning
Complex problem-solving tasks build resilience and prepare for HSC-level questions.
Stage 5 completion
Full coverage of NSW Mathematics K–10 Stage 5 outcomes preparing for Year 11.
Pathway preparation
Yearly exam and continuous assessment ensure readiness for chosen HSC pathway.
Curriculum Alignment
This course follows the NSW Mathematics K–10 Syllabus for Stage 5 (Year 10), covering all outcomes and preparing students for Mathematics Standard, Advanced, or Extension 1 pathways in Year 11.
Ready to begin?
We'll recommend the right structure for your child — no pressure, just a conversation about what works best.