Queensland Year 12 General Maths (Unit 3 and 4) topics

Below are the topics that sit within Queensland Year 12 Further mathematics. When you click on a certain topic, you will be take to all the subtopics.

• Investigating Associations Between Two Variables
  Sub Topics:

  • Bivariate Data − Classifying The Variables
  • Investigating Associations Between Two Categorical Variables
  • Displaying Bivariate Data From Two Numerical Variables – The Scatterplot
  • Interpreting A Scatterplot
  • A Measure Of Strength For A Linear Relationship – The Correlation Coefficient
  • The Coefficient Of Determination
• Modelling Associations Between Variables
  Sub Topics:

  • Fitting A Linear Model To Numerical Data
  • Using The Least Squares Regression Line To Model A Relationship Between Two Numerical Variables
  • Association And Causation
• Time Series Analysis
  Sub Topics:

  • Time Series Data
  • Describing Time Series Plots
  • Smoothing A Time Series Using Moving Means
  • Seasonal Indices
  • Fitting A Trend Line And Forecasting
• Arithmetic And Geometric Sequences
  Sub Topics:

  • Defining An Arithmetic Sequence By Recursion
  • A General Rule For Finding The Nth Term Of An Arithmetic Sequence
  • Application Of Arithmetic Sequences
  • Geometric Sequences
  • A General Rule For Finding The Nth Term Of A Geometric Sequence
  • Applications Of Geometric Sequences
• Earth Geometry And Time Zones
  Sub Topics:

  • Angle Measurement And Arc Length
  • Latitude And Longitude
  • Time Zones And Time Differences
• Compound Interest Loans And Investments
  Sub Topics:

  • Sequences And Recurrence Relations
  • Modelling Simple And Compound Interest Situations With Recurrence Relations
  • Investigating Compound Interest Loans And Investments
  • Effective Annual Rate Of Interest
  • Solving Problems Involving Compound Interest
• Reducing-Balance Loans
  Sub Topics:

  • A Recursive Model For Reducing-Balance Loans
  • Investigating Reducing-Balance Loans
  • Solving Problems Involving Reducing-Balance Loans
• Annuities And Perpetuities
  Sub Topics:

  • Recursive Model For Annuities
  • Investigating Annuities
  • Solving Problems Involving Annuities With Technology
  • Perpetuities
• Graphs And Networks
  Sub Topics:

  • Graphs And Associated Terminology
  • The Adjacency Matrix
  • Planar Graphs And Euler’s Formula
  • Exploring A Graph
  • Eulerian Graphs And Applications
  • Hamiltonian Graphs And Applications
  • Weighted Graphs, Networks And Shortest Path Problems
• Connector, Assignment And Flow Problems
  Sub Topics:

  • Trees And Connector Problems
  • Assignment Problems And The Hungarian Algorithm
  • Flow Networks
• Project Planning And Scheduling
  Sub Topics:

  • Project Planning – Precedence Tables And Activity Networks
  • Scheduling Problems