NSW Y9 Maths Advanced

New South Wales Year 9 Advanced Topics

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

• Pythagoras Theorem
  Sub Topics:

  • Finding the Hypotenuse
  • Finding the Shorter Side
  • Surds and Irrational Numbers
  • Simplifying Surds
  • Adding and Subtracting Surds
  • Multiplying and Dividing Surds
  • Pythagoras Theorem Problems
  • Testing Right-Angled Triangles
  • Pythagorean Triads
• Working with Numbers
  Sub Topics:

  • Terminating and Recurring Decimals
  • Converting Recurring Decimals to Fractions
  • 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
  • Expanding Binomial Products
  • Factorising Special Binomial Products
  • Simple Factorising (Factorising Expressions)
  • Factorising Quadratic Expressions
  • Mixed Factorisations
  • Factorising Algebraic Fractions
• Trigonometry
  Sub Topics:

  • Trig Ratios
  • Finding Unknown Side
  • Finding Unknown Angle
  • Finding a Side (Unknown Denominator)
  • Angles of Elevation and Depression
  • Bearings
  • Trig Problems
• Indices and Scientific Notation
  Sub Topics:

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

  • Triangle Geometry
  • Quadrilateral Geometry
  • Angle Sum of Polygon
  • Exterior Angle of Polygon
  • Line and Rotational Symmetry
  • Transformations on the Number Plane
  • Networks
  • Planar Graphs and Euler's formula
  • Network Travels
• Equations
  Sub Topics:

  • Variables on One Side
  • Variables on Both Sides
  • Equations with Brackets
  • Using Formulae
  • Equation Problems
  • Equations with Algebraic Fractions
  • Quadratic Equations
  • Changing the Subject of a Formula
• Earning Money
  Sub Topics:

  • Wages and Salaries
  • Overtime
  • Commission, Piecework and Leave Loading
  • Income Tax
  • PAYG and Net Pay
• Coordinate Geometry and Graphs
  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
  • Direct Proportion
  • Applying Linear Equations
  • Graphing ax^2+bx+c
  • Applications of Parabolas
  • Graphs of Circles
• Surface Area and Volume
  Sub Topics:

  • Metric Units
  • Limits of Accuracy
  • Accuracy of Measuring Instruments
  • 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
  • Volumes of Pyramids and Cones
• Congruence and Similar Figures
  Sub Topics:

  • Congruent Figures
  • Tests for Congruent Triangles
  • Congruent Triangle Proofs
  • Similar Figures
  • Properties of Similar Figures
  • Scale Diagrams
  • Areas of Similar Figures
  • Tests for Similar Triangles
• 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
• Quadratics
  Sub Topics:

  • Expanding Quadratic Expressions
  • Factorising Monic Quadratic Trinomials
  • Factorising Non-Monic Quadratic Trinomials
  • Factorising Special Binomial Products
  • Factorising by Completing the Square
  • Solving Quadratics by Factorising