Units 3 & 4 General Mathematics

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Units 3 & 4 General Mathematics

General Mathematics consists of four areas of study, comprising Data Analysis, Recursion and financial modelling, Matrices and Networks and decision mathematics. Data analysis comprises 40% of the content to be covered and Recursion and financial modelling, Matrices and Networks comprise 20% each of the content to be covered.

UNIT 3

Students study Data Analysis and Recursion and financial modelling. Data Analysis covers the presentation of data, measures of central tendency and spread, scatterplots, residual analysis and time series. Recursion and financial modelling covers the use of first-order linear recurrence relations and technology to model and analyse a range of financial situations, and solve related problems involving interest, appreciation and depreciation, loans, annuities and perpetuities.

Learning Activities:

Computations, diagram construction – including graphs, use of TI-Nspire CAS calculator, application of laws, text questions, extended simulated activities, quizzes, analysis tasks, group problem solving and other relevant activities.

Key Skills Achieved:

  • Define and explain key concepts related to data analysis, statistics, recursion and financial modelling
  • General formulation of concepts, techniques and models studied in all areas of study
  • Use computational thinking, algorithms, models and simulations to solve problems related to a given context. 
  • Use of technology to carry out numerical, graphical and symbolic computations and produce results

Assessment:

Data Application Task and Recursion and Financial Modelling Task

UNIT 4

Students study Matrices and Networks and Decision Mathematics.  Matrices cover basic matrix operations, multiplicative inverse, solution of simultaneous equations and transition equations. Networks and Decision Mathematics covers exploring and travelling problems involving walks, trails, paths, Eulerian trails and circuits, Hamiltonian cycles and Critical Path Analysis.

Learning Activities:

Computations, diagram construction – including graphs, use of TI-Nspire CAS calculator, application of laws, text questions, extended simulated activities, quizzes, analysis tasks, group problem solving and other relevant activities.

Key Skills Achieved:

  • Define and explain key concepts related to data analysis, statistics, recursion and financial modelling
  • General formulation of concepts, techniques and models studied in all areas of study
  • Use computational thinking, algorithms, models and simulations to solve problems related to a given context. 
  • Use of technology to carry out numerical, graphical and symbolic computations and produce results

Assessment:

Matrices Modelling Task and Network and Decision Mathematics Modelling Task

VCAA ASSESSMENT – THE OVERALL STUDY SCORE WILL CONSIST OF:

  • Unit 3 School Assessed Coursework 24%
  • Unit 4 School Assessed Coursework 16%
  • Examination 1 (Multiple Choice) 30%
  • Examination 2 (Extended Answer) 30%

Prerequisites: The student must have satisfactory completion of Unit 1 & 2 General Mathematics OR Unit 1 & 2 Mathematical Methods.