VIC Year 9 Maths - Coursebook
Year 9 is where algebra, trigonometry and financial maths all arrive at once. Every topic is explained step by step, with a fully worked solution for every question.
Both formats: a fully worked solution for every question · QR-code video tutorials · aligned to the NSW Year 7 syllabus
The Challenge
Year 9 brings algebra, trigonometry and financial mathematics together, often faster than students can consolidate each one.
Gaps from Year 7 and 8 can make new topics feel harder than they are, and confidence drops just as the work becomes more demanding.
Our Solution
The Class Mathematics VIC Year 9 Coursebook was written by John Kinny-Lewis — a mathematics teacher with over 45 years of classroom experience.
Every topic is explained clearly, step by step, with fully worked solutions for every question. Students can work through it independently, check their answers immediately, and fix mistakes as they go.
Why This Book Works
- Strong focus on core skills and revision – reinforcing essential Year 7 and 8 concepts
- Fully worked solutions for every question – clear, step-by-step methods students can follow
- Clear explanations focused on understanding – not memorisation
- Hyperlinked solutions in the digital edition – move easily between questions and worked solutions
- Video support via QR codes – extra explanation when students need it
- Fully aligned to the VIC Year 9 Mathematics syllabus
- Instant digital access – or printed book with free shipping
Who This Book Is For
This book contains 10 chapters and includes the following topics:
- 1 Number and Financial Mathematics
- 2 Linear and Simultaneous Equations
- 3 Pythagoras Theorem and Trigonometry
- 4 Linear Relations
- 5 Measurement
- 6 Indices and Surds
- 7 Geometry
- 8 Algebraic Techniques
- 9 Probability and Statistics
- 10 Introduction to Quadratic Equations and Graphs
Each chapter includes clear theory, worked examples, graded practice questions, and fully worked solutions. QR codes throughout link to short video tutorials for additional support.
Number and Financial Mathematics
- Integer Operations
- Decimals and Significant Figures
- Rational Numbers
- Operations with Fractions
- Ratios, Rates and Best Buys
- Percentages and Money
- Percentage Increase and Decrease
- Profits and Discounts
- Income and Taxation
- Simple Interest
- Compound Interest
Linear and Simultaneous Equations
- Algebraic Expressions
- Simplifying Algebraic Expressions
- Expanding Algebraic Expressions
- Solving Linear Equations
- Equations with Brackets and Pronumerals on Both Sides
- Solving Word Problems
- Inequalities
- Using Formulas
- Simultaneous Equations - Substitution
- Simultaneous Equations - Elimination
- Applications of Simultaneous Equations
Pythagoras Theorem and Trigonometry
- Pythagoras Theorem
- Finding the Length of the Shorter Side
- Applying Pythagoras Theorem
- Pythagoras Theorem in 3D
- Trigonometric Ratios
- Finding Side Lengths
- Solving for the Denominator
- Finding an Angle
- Applying Trigonometry
- Bearings
Linear Relations
- Introduction to Linear Relations
- Graphing Straight Lines Using Intercepts
- Lines with One Intercept
- Gradient
- Gradient and Direct Proportion
- Gradient-Intercept Form
- Finding the Equation of a Line
- Midpoint and Length of a Line Segment
- Parallel and Perpendicular Lines
- Linear Modelling
- Graphical Solutions to Simultaneous equations
Measurement
- Length and Perimeter
- Circumference and Perimeter of a Sector
- Area
- Composite Shapes
- Surface Area of Prisms and Pyramids
- Surface Area of a Cylinder
- Volume of Prisms
- Volume of a Cylinder
Indices and Surds
- Index Laws 1 and 2
- Index Law 3 and Zero Power
- Index Laws Mixed
- Negative Indices
- Scientific Notation
- Scientific Notation using Significant Figures
- Fractional Indices and Surds
- Simple Operations with Surds
Geometry
- Angles and Triangles
- Parallel Lines
- Quadrilaterals and Other Polygons
- Congruent Triangles
- Using Congruence in Proof
- Enlargement and Similar Figures
- Similar Triangles
- Proving and Applying Similar Triangles
Algebraic Techniques
- Expanding Binomial Products
- Perfect Squares and Difference of Perfect Squares
- Factorising Algebraic Expressions
- Factorising the Difference of Perfect squares
- Factorising by Grouping
- Factorising Monic Quadratic Trinomials
- Factorising Non Monic Quadratic Trinomials
- Simplifying Algebraic Fractions - Multiplication and Division
- Simplifying Algebraic Fractions - Addition and Subtraction
- Further Simplification of Algebraic Fractions
- Equations with Algebraic Fractions
Probability and Statistics
- Probability Review
- Venn Diagrams and Two-Way Tables
- Using Set Notation
- Using Arrays for Two-Step Experiments
- Tree Diagrams
- Experimental Probability
- Summarising Data - Measures of Centre
- Stem-and-Leaf Plots
- Grouped Data
- Measures of Spread
- Box Plots
Introduction to Quadratic Equations and Graphs
- Quadratic Equations
- Solving ax^2+bx=0 and x^2=d
- Solving x^2+bx+c=0
- Applications of Quadratic Equations
- The Parabola
- Sketching y=ax^2 with Dilations and Reflections
- Sketching Translations of y=x^2
- Sketching Parabolas Using Intercept Form
Inside the book
See exactly how a topic is explained and how a solution is worked, before you buy.
SAMPLESample teaching pages — how a topic is explained
SAMPLESample worked answers — every question, fully solved
