Year 5 Mathematics
A comprehensive journey through the NSW Mathematics syllabus — building number sense, problem-solving skills, and mathematical confidence.
Course Structure
Forty lessons across four terms
Each term focuses on a different strand of mathematics, building skills and knowledge progressively.
Number & Place Value Foundations
Whole numbers, decimals, mental computation, problem solving
Place Value to Millions
- Read, write, compare, and order large numbers
- Use expanded notation to represent numbers
- Apply place value understanding to solve problems
Rounding & Estimation
- Round numbers to nearest 10, 100, 1 000, 10 000
- Use estimation to check reasonableness of answers
- Apply rounding strategies in real-world contexts
Addition Strategies
- Use mental strategies for addition
- Apply written algorithms efficiently
- Solve multi-step addition problems
Subtraction Strategies
- Use decomposition method for subtraction
- Check answers using inverse operations
- Apply subtraction in problem-solving contexts
Multiplication Basics
- Multiply by 1- and 2-digit numbers
- Use mental and written methods
- Apply multiplication facts and strategies
Division Basics
- Understand and interpret remainders
- Use division facts and strategies
- Solve division word problems
Introduction to Decimals
- Understand tenths and hundredths
- Connect decimals to fractions
- Use place value with decimal numbers
Word Problems (Mixed Operations)
- Solve multi-step reasoning problems
- Use bar models and number lines
- Apply all four operations in context
Exam Preparation
- Mixed exam-style questions
- Time-management strategies
- Common error analysis
Term 1 Exam
- Assessment of number & operations
- Reasoning + problem solving
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.
Conceptual Understanding
Mathematics is taught for deep understanding, not just memorization. Students learn the 'why' behind every method and strategy.
Problem-Solving Focus
Every lesson includes multi-step reasoning tasks that develop critical thinking and mathematical resilience.
Real-World Connections
Concepts are linked to everyday situations, making maths relevant and engaging for young learners.
Progressive Mastery
Skills build systematically across terms, creating a strong foundation for Year 6 and beyond.
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 deep understanding
Visual models
Bar models, number lines, and diagrams make abstract concepts concrete and accessible.
Mental strategies
Develop number sense and computational fluency through efficient mental methods.
Syllabus aligned
Full coverage of NSW Mathematics K–10 Stage 3 outcomes with strategic sequencing.
Regular assessment
Topic tests and term exams ensure mastery before progressing to new content.
Curriculum Alignment
This course follows the NSW Mathematics K–10 Syllabus for Stage 3, covering all outcomes for Year 5 students. Content is sequenced to build mathematical skills and conceptual understanding progressively.
Ready to begin?
We'll recommend the right structure for your child — no pressure, just a conversation about what works best.