NSW Y9 Maths Core

New South Wales Year 9 Core Topics

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

• Pythagoras Theorem
  Sub Topics:

  • Squares, Square Roots and Surds
  • Pythagoras Theorem
  • Finding the Hypotenuse
  • Finding the Shorter Side
  • Mixed Problems
  • Testing Right-Angled Triangles
  • Pythagorean Triads
  • Pythagoras Theorem Problems
• Working with Numbers
  Sub Topics:

  • Integers
  • Decimals
  • Terminating and Recurring Decimals
  • Fractions
  • Percentages
  • Operations with Percentages
  • Percentages and Money
  • Simple Interest
  • Ratios and Rates
  • Converting Rates
• Algebra: Expanding and Factorising
  Sub Topics:

  • Multiply and Divide Algebraic Fractions
  • Adding and Subtracting Algebraic Fractions
  • Expanding and Simplifying
  • Simple Factorising (Factorising Expressions)
  • Expanding Binomial Products
• Trigonometry
  Sub Topics:

  • Trig Ratios
  • Finding Unknown Side
  • Finding Unknown Angle
  • Finding a Side (Unknown Denominator)
  • Using Trig to Solve Problems
• Indices and Scientific Notation
  Sub Topics:

  • Multiplying and Dividing using Indices
  • Zero Index
  • Power of a Power
  • Summary of Index Laws
  • Negative Indices
  • Mixed Index Law Questions
  • Scientific Notation
  • Significant Figures
• Surface Area and Volume
  Sub Topics:

  • Metric Units
  • Limits of Accuracy
  • Perimeters and Areas of Composite Shapes
  • Areas of Quadrilaterals
  • Circumferences and Areas of Circular Shapes
  • Surface Area of a Prism
  • Surface Area of a Cylinder
  • Volumes of Prisms and Cylinders
• Equations
  Sub Topics:

  • Variables on One Side
  • Variables on Both Sides
  • Equations with Brackets
  • Using Formulae
  • Equation Problems
  • Equations with Algebraic Fractions
  • Quadratic Equations
  • Graphing Inequalities
  • Solving Inequalities
  • Simultaneous Equations- Substitution
  • Simultaneous Equations- Elimination
  • Simultaneous Equations Problems
• Earning Money
  Sub Topics:

  • Wages and Salaries
  • Overtime
  • Commission, Piecework and Leave Loading
  • Income Tax
  • PAYG and Net Pay
  • Best Buys
  • GST
  • Simple Interest
  • Buying on Terms
• Properties of Geometric Figures
  Sub Topics:

  • Angle Geometry
  • Triangle Gemoetry
  • Quadrilateral Geometry
  • Angle Sum of Polygon
  • Exterior Angle of Polygon
  • Networks
  • Planar Graphs and Euler's formula
  • Network Travels
• Straight Line
  Sub Topics:

  • Length of an Interval
  • Midpoints
  • Gradient of a Line
  • Graphing Linear Equations
  • The Gradient Intercept Equation
  • Finding the Equation of a Line
  • Solving Linear Equations Graphically
  • Parallel and Perpendicular Lines
• Probability
  Sub Topics:

  • Probability
  • Relative Frequency
  • Venn Diagrams
  • Two-way Tables
  • Two-step Experiments
• Investigating Data
  Sub Topics:

  • The Mean, Median, Mode and Range
  • Histograms and Stem-and-Leaf Plots
  • The Shape of a Distribution
  • Comparing Data Sets
  • Sampling and Types of Data
  • Bias and Questionnaires
• Congruence and Similar Figures
  Sub Topics:

  • Test for Congruence Triangles
  • Congruence Triangle Proofs
  • Similar Figures
  • Properties of Similar Figures
  • Scale and Scale Factors
  • Test for Similar Triangles