Further Mathematics

What is Further Mathematics?

Further Mathematics is the one of the three main maths courses offered at VCE level.

Core:

All students must complete these units.

  1. Data Analysis.
  2. Recursion and Financial Modelling.

Modules:

Students must complete two modules selected from the following four modules.

  1. Matrices.
  2. Networks and Decision Mathematics.
  3. Geometry and Measurement.
  4. Graphs and Relations.

In undertaking these units, students are expected to be able to apply techniques, routines and processes involving rational and real arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations, and graphs. They should have a facility with relevant mental and by-hand approaches to estimation and computation. The use of numerical, graphical, geometric, symbolic, financial and statistical functionality of technology for teaching and learning mathematics, for working mathematically, and in related assessment, is to be incorporated throughout each unit as applicable.

Equipment

A CAS (Computer-Algebraic-System) calculator is essential. The two main brands used in schools are:

  • TiNspire CAS calculator
  • Casio ClassPad

Students should bring their calculator to every class and endeavour to use it as much as possible throughout the year to build their skills. Ruler and pencils are required for the drawing of all graphs. A Mathomat, or other stencil templates, are not allowed in the Exam.

Assessment

To pass the course, students are assessed on three outcomes.

Outcome 1 (demonstrate skills)

Define and explain key concepts as specified in the content from the Core and the two selected modules, and apply related mathematical techniques and models in routine contexts.

Outcome 2 (apply these skills to unusual problems)

Be able to select and apply the mathematical concepts, models and techniques from the Core and the two selected modules in a range of contexts of increasing complexity.

Outcome 3 (Use technology i.e. your calculator)

Be able to select and appropriately use numerical, graphical, symbolic and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

SACs

The student’s level of achievement for Units 3 and 4 will be determined by School-assessed Coursework (SACs). School-assessed Coursework for Unit 3 and Unit 4 will contribute 20 and 14 per cent respectively to the study score. There are four SACs to be completed throughout the year.

  1. Application Task (40 marks)
  2. Modelling or Problem Solving Task 1 (20 marks)
  3. Modelling or Problem Solving Task 2 (20 marks)
  4. Modelling or Problem Solving Task 2 (20 marks)

End of Year Examination

There are two exams at the end of the year.

Exam 1

The examination will be of one and a half hours duration and student access to an approved technology with numerical, graphical, symbolic, financial and statistical functionality will be assumed. One bound reference, text (which may be annotated) or lecture pad, may be brought into the examination. VCAA examination rules will apply. This examination comprises multiple-choice questions covering both Areas of Study 1 and 2. The examination is designed to assess students’ knowledge of mathematical concepts, models and techniques and their ability to reason, interpret, and apply this knowledge in a range of contexts.  (VCE Mathematics Study Design 2016-2018)

Exam 2

The examination will be of one and a half hours duration and student access to an approved technology with numerical, graphical, symbolic, financial and statistical functionality will be assumed. One bound reference, text (which may be annotated) or lecture pad, may be brought into the examination. VCAA examination rules will apply. This examination comprises written response questions covering both Areas of Study 1 and 2. The examination will be designed to assess students’ ability to select and apply mathematical facts, concepts, models and techniques to solve extended application problems in a range of contexts. (VCE Mathematics Study Design 2016-2018)

Resources

Further Mathematics Video Solutions

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More information

More information about the course can be found in the VCE Mathematics Study Design 2016-2018.

Past Further Mathematics VCAA Papers and Examination reports can be found on the VCAA website.