South Australian Year 10 Maths 10A Topics

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

• Indices and Surds
  Sub Topics:

  • Simplifying Surds
  • Adding and Subtracting Surds
  • Multiplying and Dividing Surds
  • Binomial Products
  • Rationalising the Denominator
  • Index Laws
  • Power of a Power
  • Zero Indices
  • Negative Indices
  • Rational Indices
  • Scientific Notation
  • Exponential Equations
  • Graphs of Exponentials
  • Exponential Growth and Decay
  • Compound Interest
  • Comparing Simple and Compound Interest
• Linear Relations
  Sub Topics:

  • Review of Algebra
  • Multiplying and Dividing Algebraic Fractions
  • Adding and Subtracting Algebraic Fractions
  • Solving Linear Equations
  • Linear Inequalities
  • Graphing Straight Lines
  • Finding an Equation of a Line
  • Length and Midpoint of a Line Segment
  • Perpendicular and Parallel Lines
  • Simultaneous Equations Using Substitution
  • Simultaneous Equations Using Elimination
  • Further Applications of Simultaneous Equations
• Solving Exponential Equations Using Logarithms
  Sub Topics:

  • Introducing Logarithms
  • Laws of Logarithms
  • Solving Exponential Equations Using Logarithms
  • Introducing Polynomials
  • Expanding and Simplifying Polynomials
  • Division of Polynomials
  • The Remainder and Factor Theorems
  • Solving Polynomial Equations
  • Graphs of Polynomials
• Trigonometry
  Sub Topics:

  • Trigonometric Ratios
  • Finding Unknown Sides
  • Finding Unknown Sides (in Denominator)
  • Finding Unknown Angles
  • Applications Using Angles of Elevation And Depression
  • Bearings
  • Applications In Three Dimensions
  • The Sine Rule
  • The Cosine Rule
  • Area of a Triangle
  • The Unit Circle
  • Graphs of Trigonometric Functions
• Statistics
  Sub Topics:

  • Collecting and Using Data
  • Review of Statistical Graphs
  • Summary Statistics
  • Box Plots
  • Standard Deviation
  • Time-Series Data
  • Bivariate Data and Scatter Plots
  • Line of Best Fit by Eye
  • Linear Regression Using Technology
• Probability
  Sub Topics:

  • Review of Probability
  • Unions and Intersections
  • The Addition Rule
  • Conditional Probability
  • Two-step Experiments Using Tables
  • Using Tree Diagrams
  • Independent Events
• Measurement
  Sub Topics:

  • Review of Length
  • Pythagoras Theorem
  • Review of Area
  • Surface Area of Prisms and Cylinders
  • Surface Area of Pyramids and Cones
  • Volume of Prisms and Cylinders
  • Volume of Pyramids and Cones
  • Surface Area and Volume of Spheres
• Quadratic Expressions and Equations
  Sub Topics:

  • Expanding Expressions
  • Factorising Expressions
  • Factorising Monic Quadratic Trinomials
  • Factorising Non-Monic Quadratic Trinomials
  • Factorising By Completing The Square
  • Solving Quadratic Equations Using Factorisation
  • Applications of Quadratics
  • Solving Quadratic Equations By Completing The Square
  • Solving Quadratic Equations Using The Quadratic Formula
• Geometry
  Sub Topics:

  • Review of Geometry
  • Congruent Triangles
  • Investigating Parallelograms Using Congruence
  • Similar Figures
  • Proving and Applying Similar Triangles
  • Circles and Chord Properties
  • Angle Properties of Circles: Theorems 1 and 2
  • Angle Properties of Circles: Theorems 3 and 4
  • Tangents to a Circle
  • Intersecting Chords, Secants and Tangents
• Parabolas and Other Graphs
  Sub Topics:

  • Exploring Parabolas
  • Parabolas Using Transformations
  • Parabolas Using Factorisation
  • Parabolas By Completing The Square
  • Parabolas Using The Quadratic Formula
  • Graphs of Circles
  • Graphs of Hyperbolas
  • Further Transformations of Graphs
  • Applications of Parabolas
  • Intersection of Lines And Parabolas