Victorian Year 11 Maths General Topics

Below are the topics that sit within Victorian Year 11 General mathematics. When you click on a certain topic, you will be take to all the subtopics.

• Computations and Arithmetic
  Sub Topics:

  • Order of Operations
  • Directed Numbers
  • Powers and Roots
  • Approximations, Decimal Places and Significant Figures
  • Conversion of Units
  • Percentages
  • Percentage Increase and Decrease
  • Ratio and Proportion
  • Expressing Ratios In Their Simplest Form
  • Dividing Quantities In Given Ratios
  • Unitary Method
  • Logarithms
  • Order of Magnitude
  • Logarithmic Scales
• Data Distributions
  Sub Topics:

  • Types of Data
  • Displaying and Describing Categorical Data Distributions
  • Interpreting and Describing Frequency Tables and Bar Charts
  • Displaying and Describing Numerical Data
  • Distributions of Numerical Data: Shape, Location and Spread
  • Dot Plots and Stem-And-Leaf Plots
  • Summarising Data
  • Boxplots
  • Comparing The Distribution of s Numerical Variable Across Two Or More Groups
  • Statistical Investigation
• Linear Relations and Equations
  Sub Topics:

  • Substitution of Values Into a Formula
  • Constructing a Table of Values
  • Linear Equations (One Unknown)
  • Setting up Linear Equations (1 Unknown)
  • Solving Literal Equations
  • Setting up Linear Equations (2 Unknowns)
  • Transposition of Formulae
  • Point of Intersection of 2 Linear Graphs
  • Solving Simultaneous Equations Algebraically
  • Solving Simultaneous Equations with CAS
  • Practical Applications of Simultaneous Equations
  • Problem Solving and Modelling
• Financial Arithmetic
  Sub Topics:

  • Percentages and Applications
  • Simple Interest
  • Rearranging The Simple Interest Formula
  • Compound Interest
  • Time Payment Agreements
  • Inflation
  • Financial Investigation: Buying a Car
• Matrices
  Sub Topics:

  • The Basics of a Matrix
  • Using Matrices To Model Practical Situations
  • Adding and Subtracting Matrices
  • Scalar Multiplication
  • Matrix Multiplication
  • Applications of Matrices
  • Communications and Connections
  • Identity and Inverse Matrices
  • Encoding and Decoding Information
  • Solving Simultaneous Equations Using Matrices
• Linear Graphs and Models
  Sub Topics:

  • Drawing Straight-Line Graphs
  • Determining The Slope of a Straight Line
  • The Intercept–Slope Form of The Equation of a Straight Line
  • Finding The Equation of a Straight-Line Graph From Its Intercept and Slope
  • Finding The Equation of a Straight-Line Graph Using Two Points on The Graph
  • Linear Modelling
• Investigating Relationships Between Two Numerical Variables
  Sub Topics:

  • Response and Explanatory Variables
  • Scatterplots and Their Construction
  • How To Interpret a Scatterplot
  • Pearson’s Correlation Coefficient (R)
  • Determining The Value Of Pearson’s Correlation Coefficient, R
  • Using The Least Squares Line To Model a Linear Association
  • Interpolation and Extrapolation
  • Interpreting The Slope and The Intercept of a Regression Line
  • Statistical Investigation
• Number Patterns and Recursion
  Sub Topics:

  • Number Patterns and Recursion
  • Arithmetic Sequences
  • Arithmetic Sequence Applications
  • Using a Recurrence Relation To Generate and Analyse an Arithmetic Sequence
  • Geometric Sequences
  • Geometric Sequence Applications
  • Using a Recurrence Relation To Generate and Analyse an Geometric Sequence
  • Using Recurrence Relations To Model Growth and Decay
  • The Fibonacci Sequence
• Graphs and Networks
  Sub Topics:

  • Graph Theory Basics
  • What is a Graph?
  • Isomorphic, Connected Graphs and Adjacency Matrices
  • Planar Graphs and Euler’s Formula
  • Walks, Trails, Paths, Circuits and Cycles
  • Traversable Graphs
  • Weighted Graphs, Networks and The Shortest Path Problem
  • Minimum Spanning Trees
• Shape and Measurement
  Sub Topics:

  • Pythagoras Theorem
  • Pythagoras’ Theorem In Three Dimensions
  • Mensuration: Perimeter and Area
  • Circles
  • Volume
  • Volume of a Cone
  • Volume of a Pyramid
  • Volume of a Sphere
  • Surface Area
  • Similar Figures
  • Similar Triangles
  • Similar Solids
  • Problem Solving and Modelling
• Applications of Trigonometry
  Sub Topics:

  • Trigonometry Basics
  • Finding an Unknown Side In A Right-Angled Triangle
  • Finding An Angle In A Right-Angled Triangle
  • Applications of Right-Angled Triangles
  • Angles of Elevation And Depression
  • Bearings and Navigation
  • The Sine Rule
  • The Cosine Rule
  • The Area of a Triangle
• Inequalities and Linear Programming
  Sub Topics:

  • Review of Inequalities
  • Linear Inequalities In One Variable
  • Linear Inequalities In One Variable and The Coordinate Plane
  • Linear Inequalities In Two Variables
  • Feasible Regions
  • Linear Programming
  • Linear Programming Applications