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Math and Geometry Tools

Master Year 7 Mathematics with Confidence

Build a solid foundation in key mathematical concepts and sharpen your problem-solving skills. Our Year 7 Maths program is developed and delivered by experienced educators, supported by comprehensive resources to help students excel in assessments and beyond.

 Learning Journey

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Course Structure

We provide Targeted Academic Support Aligned with School Curriculum

While the course structure outlines the general topics covered each term, we go a step further by offering small group sessions made up of students from the same school. This allows us to align our support closely with the specific topics being taught in their classrooms. Our sessions reinforce school learning, help students stay on track, and build their confidence—especially as they prepare for exams. We also provide personalised guidance tailored to each student’s individual exam preparation needs.

Term 1 : Directed Numbers, Factors and Multiples, Fractions, Decimals and Percentages

Lesson 1: Directed Numbers 1 – Addition and Subtraction
Lesson 2: Directed Numbers 2 – Multiplication, Division and BODMAS
Lesson 3: Factors and Multiples – Divisibility, Factor Trees, HCF, LCM
Lesson 4: Fractions 1 – Equivalent Fractions, Addition and Subtraction
Lesson 5: Fractions 2 – Multiplication and Division
Lesson 6: Decimals 1 – Notation, Conversion, Addition and Subtraction
Lesson 7: Decimals 2 – Multiplication, Division, BODMAS
Lesson 8: Percentages 1 – Conversions and Composition, Applications
Lesson 9: Revision

Lesson 10: Topic Test

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Term 2 : Applications of Percentages and the Fundamentals of Algebra

Lesson 1: Percentages 2 – Review and Applications
Lesson 2: Percentages 3 – Unitary Method and Problem Solving
Lesson 3: Financial Mathematics 1 – GST and Best Buys
Lesson 4: Financial Mathematics 2 – Discounts, Savings, Profits and Losses
Lesson 5: Algebraic Techniques 1 – Pronumerals, Variables, Expressions
Lesson 6: Algebraic Techniques 2 – Operations and BODMAS
Lesson 7: Algebraic Techniques 3 – Distributive Law and Word Problems
Lesson 8: Indices – Notation, Index Laws, Multiplication and Division

Lesson 9: Revision

Lesson 10: Topic Test

Term 3 : Equations, Angles and Geometry

Lesson 1: Algebraic Equations 1 – Solving Equations
Lesson 2: Algebraic Equations 2 – Unknowns on both sides, and grouping symbols
Lesson 3: Algebraic Equations 3 – Problem solving
Lesson 4: Angle Relationships 1 – Points, Lines and Angle Rules
Lesson 5: Angle Relationships 2 – Vertically Opposite, Angles at a point, Angles in Parallel Lines
Lesson 6: Geometrical Figures 1 – Triangles, Angle Sum, Exterior Angles
Lesson 7: Geometrical Figures 2 – Properties of Triangles, Types of Quadrilaterals
Lesson 8: Geometrical Figures 3 – Angle Sum of Quadrilaterals, Length and Perimeter

Lesson 9: Revision

Lesson 10: Topic Test

Term 4 : Linear Relationships, Ratios, and Indices

Lesson 1: Ratios 1 – Introduction to Ratios, Simplifying, Equivalent, Different Units
Lesson 2: Ratios 2 – Practical Applications of Ratios, Scale Drawings
Lesson 3: Area 1 – Area of Plane Figures
Lesson 4: Area 2 – Special Quadrilaterals and Word Problems
Lesson 5: Linear Relationships 1 – Graphing Points and Lines
Lesson 6: Linear Relationships 2 – Number Patterns, Equation of a Line
Lesson 7: Linear Relationship 3 – Points of Intersection, Solve equations
Lesson 8: Linear Relationship 4 – Comparing Lines, Applications
Lesson 9: Revision

Lesson 10: Topic Test

 Syllabus 

🔢 Number

  • Integers and their operations

  • Fractions, decimals, and percentages

  • Factors, multiples, primes

  • Powers and square roots

  • Ratios and rates

  • Order of operations (BIDMAS)

📏 Measurement

  • Units of measurement (length, mass, capacity, time)

  • Perimeter and area of 2D shapes

  • Volume of rectangular prisms

  • Time calculations and timetables

  • Conversions between units

📊 Statistics

  • Collecting and organising data

  • Displaying data (column graphs, dot plots, stem-and-leaf plots)

  • Interpreting data displays

  • Measures of central tendency (mean, median, mode)

  • Range and spread

🧮 Algebra

  • Algebraic notation and conventions

  • Substitution and evaluation

  • Simplifying expressions

  • Expanding and factorising simple expressions

  • Solving simple linear equations

  • Patterns and sequences

📐 Geometry

  • Properties of 2D shapes and 3D objects

  • Angle types and relationships

  • Constructing angles and triangles

  • Symmetry and transformations (reflection, rotation, translation)

🎲 Probability

  • Describing outcomes of chance events

  • Likelihood and probability scale (0 to 1)

  • Conducting simple experiments

  • Comparing theoretical and experimental probabilities

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