South Australian Year 9 Maths Topics

Below are the topics that sit within South Australian Year 9 mathematics. When you click on a certain topic, you will be take to all the subtopics.

• Number and Financial Mathematics
  Sub Topics:

  • 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
  Sub Topics:

  • Simple Interest
  • Compound Interest
• Linear and Simultaneous Equations
  Sub Topics:

  • 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
  Sub Topics:

  • Pythagoras Theorem
  • Finding the Length of the Shorter Side
  • Applying Pythagoras Theorem
  • Trigonometric Ratios
  • Finding Side Lengths
  • Solving for the Denominator
  • Finding an Angle
  • Applying Trigonometry
  • Bearings
  • Pythagoras Theorem in 3D
• Linear Relations
  Sub Topics:

  • Introduction to Linear Relations
  • Graphing Straight Lines Using Intercepts
  • Lines with One Intercept
  • Gradient
  • Gradient and Direct Proportion
  • Midpoint and Length of a Line Segment
  • Parallel and Perpendicular Lines
  • Linear Modelling
  • Graphical Solutions to Simultaneous equations
  • Gradient-Intercept Form
  • Finding the Equation of a Line
• Measurement
  Sub Topics:

  • 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
  Sub Topics:

  • 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
  Sub Topics:

  • Angles and Triangles
  • Parallel Lines
  • Congruent Triangles
  • Using Congruence in Proof
  • Enlargement and Similar Figures
  • Similar Triangles
  • Proving and Applying Similar Triangles
  • Quadrilaterals and Other Polygons
• Algebraic Techniques
  Sub Topics:

  • 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
  Sub Topics:

  • 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
  Sub Topics:

  • 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