NSW Y10 Maths - 5.3

New South Wales Year 10 5.3 Topics

Below are the topics that sit within New South Wales Year 10 5.3 mathematics. When you click on a certain topic, you will be take to all the subtopics.

• Algebra Review
  Sub Topics:

  • Adding and Subtracting Algebraic Fractions
  • Multiplying and Dividing Algebraic Fractions
  • Equations with Fractions
  • Equation Problems
  • Solving Inequalities
  • Graphing Inequalities
• Surds
  Sub Topics:

  • Simplifying Surds
  • Surds and Rational Numbers
  • Adding and Subtracting Surds
  • Multiplying and Dividing Surds
  • Binomial Products
  • Rationalising the Denominator
• Earning Money
  Sub Topics:

  • Earning an Income
  • Income Tax
  • Simple Interest
  • Compound Interest
  • Term Payments
  • Depreciation
• Straight Line Graphs
  Sub Topics:

  • Length of an Interval
  • Midpoint of an Interval
  • Gradient of an Interval
  • Parallel and Perpendicular Lines
  • Equation of Lines
  • Graphing Linear Equations
  • Finding the Equation of a Line Graphically
• Measurement
  Sub Topics:

  • Converting Units
  • Accuracy of Measuring Instruments
  • Pythagoras Theorem in 3D
  • Area of Triangles and Quadrilaterals
  • Area of Circles and Sectors
  • Surface Area of Prisms
  • Surface Area of Cylinders
  • Surface Area of Pyramids
  • Surface Area of Cones
  • Volume of Prisms and Cylinders
  • Volume of Pyramids and Cones
  • Surface Area and Volume of Spheres
• Indices
  Sub Topics:

  • Multiplication and Division Index Laws
  • Power of a Power
  • Zero and Negative Indices
  • Scientific Notation
  • Fractional Indices
  • Exponential Equations
• Trigonometry
  Sub Topics:

  • Trigonometric Ratios
  • Finding Unknown Angles
  • Finding Unknown Sides
  • 2D Applications
  • Bearings
  • 3D Trigonometry
  • Obtuse Angles and Exact Values
  • Sine Rule
  • Cosine Rule
  • Area Rule
  • The Four Quadrants
  • Graphs of Trig Functions
• 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
  • Solving Quadratics by the Quadratic Formula
  • Solving Quadratics by Completing the Square
  • Solving Higher Order Quadratics by Substitution
  • Using Quadratics to Solve Problems
• Probability
  Sub Topics:

  • Basic Concepts
  • Venn Diagrams
  • Two-Way Tables
  • Mutually and Non-Mutually Exclusive Events
  • Conditional Probability
  • Arrays and Two-Step Experiments with Tables and Tree Diagrams
  • Probability Tree Diagrams
  • Dependent and Independent Events
  • Sampling with Replacement
  • Sampling without Replacement
• Simultaneous Equations
  Sub Topics:

  • Substitution
  • Elimination
  • Graphically
  • Non-Linear
  • Simultaneous Equations Problems
• Single Variable and Bivariant Statistics
  Sub Topics:

  • Shapes of Distributions
  • Quartiles and Inter Quartile Range
  • Boxplots
  • Parallel Boxplots
  • Standard Deviation
  • Comparing Means and Standard Deviations
  • Comparing Data Sets
  • Scatter Plots
  • Line of Best Fit
  • Bivariant Data
• Geometric Figures
  Sub Topics:

  • Basic Geometry
  • Congruent Triangles
  • Similar Figures
  • Similar Triangles
  • Network Diagrams
  • Eulerian and Network Problems
  • Shortest Path
• Logarithms and Polynomials
  Sub Topics:

  • Logarithms Basics
  • Logarithm Graphs
  • Logarithm Laws
  • Solving Equations using Logarithms
  • Polynomials
  • Expanding Polynomials
  • Dividing Polynomials
  • Remainder Theorem
  • Factor Theorem
  • Factoring Polynomials to find Zeros
  • Graphs of Polynomials
• Circle Geometry
  Sub Topics:

  • Circle Facts
  • Angle Properties of Circles
  • Tangent Properties
  • Chord, Secant and Tangent Properties
• Non Linear Relationships Functions and Graphs
  Sub Topics:

  • Exploring Parabolas
  • Sketching Parabolas Using Transformations
  • Sketching Parabolas Using Factorisation
  • Sketching Parabolas By Completing The Square
  • Sketching Parabolas Using The Quadratic Formula And The Discriminant
  • Applications of Parabolas
  • Lines And Parabolas
  • Functions and Notations
  • Graphs of Circles
  • Exponential Functions
  • Hyperbola
  • Cubic Equations
  • Further Transformations
  • Using Graphs to Describe Change
  • Literal Equations
  • Inverse Functions