Further Mathematics Unit 3 and 4
Prerequisites
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.
 Nonlinear 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.
Assessment
Outcomes 
Assessment Tasks 
Marks Allocated 
(schoolassessed 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 problemsolving, modelling or investigative techniques or approaches.

Application task (Unit 3).

60 
Modelling or problem solving task 1 (Unit 4).

20 
Statistical and probability modelling or problemsolving 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 
Schoolassessed 

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: www.vcaa.vic.edu.au