FM Study Design

VCE Further Mathematics (FM)

Further mathematics mainly expands on foundational mathematical skills and is comparatively easier than other maths subjects. However this results in a considerably higher level of competition and significantly less room for error. The subject is considered to have a low level difficulty and generally scaling down the study score by 1-2 marks.

VCE FM Study Design:

The VCE FM study design differs from the other 2 maths subjects in that while unit 3 topics are core to all students, however in unit 4 students and schools can choose any 2 of the available 4 modules to study.

FM Unit 3 Core Topics:

Data analysis:

● Data distribution analysis

● Association between two variables

● Investigation and modelling of linear relations

● Investigation and modelling of time series data

Recursion and Financial Modelling:

● Depreciation of assets

● Compound interest

● Reducing balance

● Annuities and perpetuities

● Compound interest in annuity investments

FM Unit 4 Modules:

Matrices:

● Application of matrices

● Transitional matrices

Network and Decision:

● Graphs and networks

V Exploring and travelling problems

● Trees and minimum connector

● Flow problems

● Shortest path problems

● Matching problems

● Scheduling problem and critical path analysis

Geometry and Measurement:

● Trigonometry measurements

● Spherical geometry

Graphs and Relations:

● Construction and interpretation of graphs

● Linear programming

FM SACs:

Unit 3 SACs contributes 20% to a students final study score and is composed of 3 outcomes. Unit 4 SACs also contributes 14% (34% in total for school-based assessments) and is composed of 3 outcomes. There will be 1 major modelling or problem solving assessment on the first selected module and 1 on the second selected module.

Final Exams:

The final exams contribute 66% of a students final study score and are composed of exam 1 (33%) and exam 2 (33%). Each exam is composed of 2 sections, sections A and B. Section A contains questions from the core areas of study, students are to complete all questions in this section. Section B questions are divided into the 4 modules of unit 4. Students are only required to complete questions from 2 selected modules.

Note: Students can choose to complete questions from a module that was not studied in their school if they wish.

Exam 1 is composed of all multiple choice questions from both the core units and the selected modules.

Exam 2 is composed of all written response questions from both core units and the selected modules.

Students are permitted 1 bound reference and both a CAS and scientific calculator for both exam 1 and exam 2.

FM Past Exam:

WILL provides free VCE FM past exam papers, all you need to do is contact us (via WeChat or Email) to claim it for free.

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