IMPORTANT INFORMATION FOR YEAR 10 STUDENTS | Mathematics is not a compulsory subject in the VCE.
Year 10 Mathematics teachers will provide a recommendation to students (and course counsellors) identifying the most appropriate VCE Mathematics subject/s each student should select prior to course selection. Assessments, inclusive of CATS, tests and exam results, are used to guide this recommendation. It is important that all students select the most appropriate Mathematics pathway based on their demonstrated abilities. Students are also advised to check the tertiary prerequisite guide to ensure that they meet the listed Mathematics prerequisite/s, where appropriate.
Why study General Mathematics?
Units 1–4 provide for the study of non-calculus and discrete mathematics topics. They are designed to be widely accessible and provide preparation for general employment, business or further study, in particular where data analysis, recursion and financial modelling, networks and matrices are important.
*This is the most popular Mathematics subject studied by Year 12 students in Victoria and satisfactory completion of General Mathematics will meet most of the prerequisite requirements for further study at university and/or TAFE. It is important to confirm the prerequisites set as entry requirements for your preferred tertiary course prior to course selection.
UNIT 1
Students explore types of data, how data is displayed and described using statistics, and how data is compared. They explore the concept of sequences and their application in simple Financial Mathematics. Linear Functions and Relations are covered both graphically and algebraically. Finally, the concept of matrices and their operations are used to explore a range of practical problems including populations changes.
UNIT 2
In this unit, students investigate the association between two numeric variables by using scatterplots and lines of best fit. They cover the use of network graphs to model and solve practical problems. Direct and inverse variation is explored through linear transformations and the modeling of some non-linear data. Finally, units of measurement, accuracy and computations of simple and composite shapes are explored. With a particular focus on navigation and Pythagoras’ Theorem.
Demonstration of achievement will be based on the student’s performance on a selection of the following tasks:
Topic tests
Completion of course work exercises.
Both Units 1 and 2 have two (2) exams:
Exam 1 is a multiple-choice assessment
Exam 2 is a short answer assessment.
A bound notebook and CAS calculator are permitted in all forms of assessment.
UNITS 3 AND 4 CONTAIN TWO (2) AREAS OF STUDY:
Area of Study 1 students explore data types, representation and distribution of data, location, spread, association, correlation and causation, response and explanatory variables, linear regression, data transformation and goodness of fit, times series, seasonality, smoothing and prediction.
In Area of Study 2 students cover the depreciation of assets; compound interest investments and loans; reducing balance loans; annuities and perpetuities; compound interest investment with periodic and equal additions to the principal; matrices and their applications; transition matrices; networks and decision mathematics; graphs and networks; exploring and travelling problems; trees and minimum connector problems; flow problems; shortest path problems; matching problems; and scheduling problems and critical path analysis.
In Unit 3 General Mathematics students complete an application task on a given data set with several variables. Students will then complete a problem-solving task which must relate to recursion and financial modelling.
In Unit 4 General Mathematics students complete two (2) problem-solving tasks: one on Matrices and the other on Networks and decision mathematics.
The level of achievement for Units 3 and 4 is also assessed by an end-of-year examination