Year 9 Mathematics
Formalising algebra, deepening proportional and graphical reasoning — preparing for Stage 5 rigor and senior maths pathways.
Course Structure
Forty lessons across four terms
Each term focuses on a different strand of mathematics, building Stage 5 skills systematically.
Algebraic Techniques & Number
Algebra fluency, index laws, problem solving
Review of Number & Integer Operations
- Integers, fractions, percentages
- Multi-step numerical problems
- Apply number skills in context
Index Laws
- Multiplying & dividing powers
- Powers of powers
- Apply index laws to simplify expressions
Surds (Introduction)
- Square roots
- Simplifying surds
- Apply surd operations
Algebraic Expressions
- Expanding brackets
- Factorising common factors
- Simplify complex expressions
Algebraic Fractions (Introduction)
- Simplifying simple algebraic fractions
- Identify common factors
- Apply fraction skills to algebra
Linear Equations
- One-step & two-step equations
- Check solutions
- Solve equations with fractions
Word Problems with Algebra
- Translating words to equations
- Solve real-world problems
- Justify solution strategies
Algebraic Reasoning & Proof
- Explaining solutions
- Justifying steps
- Mathematical communication
Exam Preparation
- Algebra drills
- Common errors & exam strategies
- Timed practice
Term 1 Exam
- Assessment of algebra & number
- 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.
Click left or right to turn pages
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 Fluency
Master algebraic manipulation, index laws, and surds — essential skills for all senior mathematics pathways and STEM subjects.
Trigonometric Reasoning
Develop confidence with Pythagoras' theorem and trigonometric ratios through systematic practice and real-world applications.
Graphical Understanding
Build strong foundations in linear relationships, gradient, and coordinate geometry — preparing for advanced functions.
Stage 5 Mastery
Comprehensive preparation for Year 10 and senior mathematics with emphasis on reasoning, proof, and problem-solving.
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 Stage 5 success
Formal reasoning
Develop mathematical proof skills and logical argumentation essential for Stage 5 success.
Problem-solving focus
Multi-step reasoning tasks build resilience and prepare for complex exam questions.
Stage 5 aligned
Full coverage of NSW Mathematics K–10 Stage 5 outcomes with strategic sequencing.
Exam preparation
Regular assessment and yearly exam ensure mastery and readiness for Year 10.
Curriculum Alignment
This course follows the NSW Mathematics K–10 Syllabus for Stage 5, covering all outcomes for Year 9 students. Content is sequenced to build algebraic fluency, geometric reasoning, and prepare for senior mathematics pathways.
Ready to begin?
We'll recommend the right structure for your child — no pressure, just a conversation about what works best.