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VCE Mathematics

Further Mathematics Unit 3 and 4


Further Mathematics Units 1 and 2, Mathematical Methods Units 1 and 2, a strong performance at Year 10 Mathematics B or Mathematics A.

Course Description

Further Mathematics Units 3 and 4 expand on many topics covered in Further Mathematics Units 1 and 2 course. It consists of a compulsory core and 2 modules selected by the Mathematics Learning Area.

The course is designed to be widely accessible providing general preparation for employment or further study. Throughout the course students are required to use CAS technology and reference material to support and develop their learning.

Areas of Study

Core: Data Analysis

  • Investigating data distributions.
  • Investigating associations between two variables.
  • Modelling linear associations.
  • Modelling time series data.

Core: Recursion and financial modelling

  • Depreciation of assets.
  • Compound interest investments and loans.
  • Reducing balance loans.
  • Annuities and perpetuities.
  • Compound interest with additions to the principal.

Module 1: Graphs and Relations

  • Linear graphs and relations including line segments and step graphs.
  • Linear programming.
  • Non-linear relations.

Module 2: Matrices

  • Matrix representation of data and matrix arithmetic.
  • Inverses and solution of linear systems.
  • Application of matrix algebra to practical problems including round robins.
  • Transition matrices.


Outcomes Assessment Tasks Marks Allocated
(school-assessed coursework)

Students demonstrate satisfactory completion of all three outcomes in each assessment task.

  • Define and explain key terms and concepts as specified in the content of the areas of study and apply a range of related mathematical routines and procedures.
  • Apply processes in a range of contexts of increasing complexity.
  • Select and appropriately use numeric, graphic and symbolic and statistical technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

Application task (Unit 3).


Modelling or problem solving task 1 (Unit 4).

Statistical and probability modelling or problem-solving task 2 (Unit 4). 20
Total Marks 100

Overall Final Assessment

Graded Assessment Title Assessment Exam Duration Contribution to Study Score (%)
1 Units 3 and 4 Coursework School-assessed   34
2 Written Examination 1 November 1.5 hours 33
3 Written Examination 2 November 1.5 hours 33


Reproduced by permission of the Victorian Curriculum and Assessment Authority, Victoria, Australia: