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Math and Geometry Tools

Master Year 9 Mathematics  with Confidence

 Learning Journey

Build a solid foundation in key mathematical concepts and sharpen your problem-solving skills. Our Year 9 Maths program is developed and delivered by experienced educators, supported by comprehensive resources to help students excel in assessments and beyond.

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Course Structure

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: Expanding Expressions – Distributive Law and Binomial Products

Lesson 2: Special Products – Difference of Squares and Perfect Squares

Lesson 3: Working with Algebraic Fractions – Adding and Subtracting

Lesson 4: Year 8 Exam Review – Key Concepts and Practice

Lesson 5: Equations Refresher – Solving with Confidence

Lesson 6: Simultaneous Equations – Mastering Substitution and Elimination

Lesson 7: Indices – Understanding Notation and Applying the Laws

Lesson 8: Numbers of Any Size – Prefixes, Units, Significant Figures & Scientific Notation
Lesson 9: Revision

Lesson 10: Topic Test

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Term 2 : Surds and Indices, Numbers of Any Magnitude, Area and Surface Area

Lesson 1: Financial Maths Basics – Key Terms and Calculating Earnings

Lesson 2: Earnings in Detail – Extra Payments and Royalties

Lesson 3: Understanding Net Pay – Taxable Income, Medicare Levy & Tax Payable

Lesson 4: Interest and Depreciation – Simple, Compound, Future & Present Value

Lesson 5: Fractional Indices – Exploring the Real Number System

Lesson 6: Surds Simplified – Approximating, Multiplying and Simplifying

Lesson 7: More with Surds – Dividing, Adding, Subtracting & Binomial Products

Lesson 8: Rationalising the Denominator – Making Surds Simpler

Lesson 9: Revision

Lesson 10: Topic Test

Term 3 : Trigonometry, Linear Relationships, Variations and Rates of Change

Lesson 1: Exploring Lines – Length of an Interval, Midpoint & Gradient

Lesson 2: Graphing Lines – Using the Gradient-Intercept Form

Lesson 3: Forms of Linear Equations – General and Point-Gradient

Lesson 4: Line Relationships – Parallel, Perpendicular & Simultaneous Equations

Lesson 5: Trigonometry Basics – Understanding SOH CAH TOA

Lesson 6: Trig Values – Exact Values and Problem Solving

Lesson 7: Real-World Trigonometry – Elevation, Depression & Applications

Lesson 8: Navigating with Trigonometry – Bearings Explained

Lesson 9: Revision

Lesson 10: Topic Test

Term 4 : Simultaneous Equations, Quadratic Techniques, Properties of Geometrical Figures

Lesson 1: Quadratic Techniques – Factoring with Common Factors, Grouping & Difference of Squares

Lesson 2: Trinomials Made Easy – Factorising Step-by-Step

Lesson 3: Perfect Squares & Mixed Methods – Advanced Factorisation

Lesson 4: Simplifying Algebraic Fractions – Techniques and Practice

Lesson 5: Understanding Similarity – Tests and Triangle Calculations

Lesson 6: Transformations & Enlargements – Similar Figures and 3D Solids

Lesson 7: Surface Area Basics – Accuracy and Prisms

Lesson 8: Surface Area of 3D Shapes – Pyramids, Cones & Spheres
Lesson 9: Revision

Lesson 10: Topic Test

 Syllabus 

🔢 Number

  • Real numbers (including irrational numbers like π and √2)

  • Scientific notation and significant figures

  • Index laws (including negative and fractional indices)

  • Surds (in 5.3 pathway)

  • Financial mathematics (profit/loss, simple and compound interest)​

📏 Measurement

  • Surface area and volume of prisms, cylinders, cones, and spheres

  • Time and rates (e.g., speed, density)

  • Scale drawings and similar figures

  • Pythagoras’ Theorem and its applications

  • Trigonometry (introduced in 5.2, extended in 5.3)

📊 Statistics

  • Data collection and analysis

  • Displaying and interpreting data (histograms, box plots, scatter plots)

  • Measures of central tendency and spread

  • Bivariate data and correlation (5.2 and 5.3)

🧮 Algebra

  • Algebraic techniques (expanding, factorising, simplifying)

  • Solving linear and simultaneous equations

  • Algebraic fractions (in 5.2 and 5.3)

  • Quadratic expressions and equations (introduced in 5.2, extended in 5.3)

  • Patterns and generalisation

📐 Geometry

  • Properties of geometrical figures

  • Angle relationships and proofs

  • Congruence and similarity

  • Geometric reasoning and deductive proofs (5.3)

🎲 Probability

  • Single and multi-step experiments

  • Theoretical and experimental probability

  • Venn diagrams and two-way tables

  • Probability rules and tree diagrams (5.3)

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