What is General Maths/Further Maths all about?

This study of Maths provides students with the opportunity to continue developing mathematical skills that will be useful for further study and independent life beyond schooling. Students who successfully complete General Maths Unit 1 and Unit 2 may choose to continue into Further Maths for Unit 3 and Unit 4, be credited for their VCAL Numeracy competencies or cease their Mathematical studies.

Aims
This study enables students to:

      • develop mathematical concepts, knowledge and skills
      • apply mathematics to analyse, investigate and model a variety of contexts and solve practical and theoretical problems in situations that range from well-defined and familiar to open-ended and unfamiliar
      • use technology effectively as a tool for working mathematically

Structure

The study is made up of four units.

Unit 1

This unit starts with Networks (Undirected graphs, Circuits, Paths and Trails), then finishes with Matrices (Representing information, adding, subtracting, and multiplying, communications, identity and inverse matrices and simultaneous equations)

Unit 2

This unit focuses on the two Core Topics for Year 12 Further Maths – Recursion and Financial Maths and Data Analysis

Starting with Personal Finance (Wages, Simple Interest Loans and Hire Purchase) and Business Finance (Profit/Loss, Depreciation and Inflation, GST, Discounts and Mark-ups), then finishing with Univariate Data (mean, median, mode, boxplots, stem and leaf, plots, comparing Data) and Bivariate Data (finding a causal relationship between two factors, scatterplots, regression lines, predicting values)

Units 3 & 4

These Units continue developing the skills learned in Unit 1 & 2.The core Data Analysis unit extends into further analysis of Data, Normal Distributions and Time series. The core unit of Recursion and Financial modelling extends into Annuities/Perpetuities and Reducing Balance Loans.
The Networks module extends to directed graphs, weighted graphs and networks and Minimum connector problems.
The Matrices unit extends into matrix powers, binary, permutation, transition and dominance matrices and their applications.

Entry

Students must have successfully completed Unit 2 prior to undertaking Units 3 & 4 (Further Maths)

Assessment

Satisfactory Completion

Demonstrated achievement of the three outcomes specified for the unit.

Outcome 1 – solve standard problems with the use of diagrams and technology

Outcome 2 – apply mathematical concepts to real-life applications and analysis of information

Outcome 3 – use technology to efficiently and accurately solve mathematical problems (scientific and CAS calculator, spreadsheets, computer APPs)

 

Levels of Achievement

Units 1 and 2
Students are required to meet the minimum standards for each Outcome as assessed through school-based SACs. In order to meet Outcome 3, students are expected to have their own CAS calculator.
Students must complete an End of Unit Examination set by the College

Units 3 and 4
Students are required to sit 4 SACs (School-assessed coursework) and two end-of-year examinations set by VCAA.
Students are required to meet the minimum standards for each Outcome as assessed through school-based SACs. In order to satisfy Outcome 3, students are expected to have their own CAS calculator.
A bound resource reference and use of CAS/scientific calculator is allowed in both Exams.

The study score awarded by VCAA is comprised of:

  • School Assessed Coursework (SACs) 34%
  • Examination One – Multiple Choice 33%
  • Examination Two – Short and Extended Response 33%