NSW Syllabus Aligned

Year 7 Mathematics

Building strong foundations for high school mathematics — mastering integers, algebra, and proportional reasoning.

40
Lessons
4
Terms
1:1
Tutoring

Course Structure

Forty lessons across four terms

Each term focuses on a different strand of mathematics, building Stage 4 skills systematically.

Number, Integers & Foundations

Fluency, integer reasoning, algebra readiness

1

Place Value & Number Properties

  • Understand integers, factors, and multiples
  • Identify prime and composite numbers
  • Apply number properties in problem solving
2

Index Laws (Introduction)

  • Calculate squares and cubes
  • Use index notation
  • Recognize patterns in powers
3

Order of Operations

  • Apply order of operations with brackets
  • Solve problems with multiple operations
  • Use BODMAS/BIDMAS correctly
4

Integers on the Number Line

  • Represent positive and negative numbers
  • Apply integers in real-life contexts (temperature, money)
  • Compare and order integers
5

Operations with Integers

  • Add and subtract integers
  • Use visual models for understanding
  • Solve integer word problems
6

Multiplying & Dividing Integers

  • Apply sign rules for multiplication and division
  • Recognize patterns in integer operations
  • Solve problems involving integer operations
7

Problem Solving with Integers

  • Solve multi-step reasoning problems
  • Apply integers in word problems
  • Justify solution strategies
8

Numerical Investigations

  • Identify and extend patterns
  • Provide logical justification
  • Explore number relationships
9

Exam Preparation

  • Timed questions
  • Common error analysis
  • Strategy refinement
10

Term 1 Exam

  • Assessment of number & integer operations
  • Reasoning-based questions
Course progressTerm 1 of 4
Course Materials

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.

Visual explanations
Diagrams and illustrations that clarify complex concepts at a glance
Worked examples
Step-by-step solutions that show the thinking process, not just the answer
Graduated practice
Problems that increase in difficulty, building confidence progressively
Clean layouts
Minimal visual clutter reduces cognitive load and improves focus

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.

Strong Algebraic Foundations

Introduction to algebraic thinking builds confidence with variables, expressions, and equations — essential skills for all senior mathematics.

Integer Mastery

Deep understanding of positive and negative numbers through visual models and real-world contexts, preparing students for advanced mathematics.

Proportional Reasoning

Comprehensive coverage of fractions, decimals, percentages, ratios, and rates — the foundation for Year 8 and beyond.

High School Success

Strategic preparation for Stage 4 assessments and smooth transition to Year 8 mathematics with exam-focused practice.

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 MindPrint

How We Teach

Designed for Stage 4 success

Concrete to abstract

Visual models and real-world contexts make abstract concepts accessible and meaningful.

Mathematical reasoning

Every lesson develops logical thinking through multi-step problems and written explanations.

Stage 4 aligned

Full coverage of NSW Mathematics K–10 Stage 4 outcomes with strategic sequencing.

Regular assessment

Frequent testing and exam practice build confidence and identify areas for improvement.

Curriculum Alignment

This course follows the NSW Mathematics K–10 Syllabus for Stage 4, covering all outcomes for Year 7 students. Content is sequenced to build strong foundations in integers, algebra, and proportional reasoning.

Ready to begin?

We'll recommend the right structure for your child — no pressure, just a conversation about what works best.