Mathematics is an area of knowledge older than recorded history and has, through the ages, developed into a sophisticated, complex body of knowledge. It has applications in all human activities, crossing cultural and linguistic boundaries to provide a universal way of solving problems in areas such as Science, Engineering, Technology, Art, Crafts and many everyday activities.

Recommended Mathematics Pathways

Extension Mathematics Pathway

Year 8

 

Year 9

 

Year 10

 

Year 11

 

Year 12

 

Leads on to

VCE Specialist Maths Units 3 & 4

  • Mathematics Pre-requisite for University

(e.g. Engineering, Science)

+

Year 8 Maths Extension

>

Year 9 Maths Extension

>

Year 10 Maths Extension

>

VCE Maths Methods Units 1 & 2

>

VCE Maths Methods Units 3 & 4

+

+

VCE General Maths Units 1 & 2

VCE Further Maths Units 3 & 4

General Mathematics Pathway

Year 8

 

Year 9

 

Year 10

 

Year 11

 

Year 12

  Leads on to

Year 8 Maths

>

Year 9 Maths

>

Year 10 Maths

>

VCE General Maths Units 1 & 2

>

VCE Further Maths Units 3 & 4

  • Mathematics Pre-requisite for University

(e.g. Nursing, Teaching)

Numeracy Mathematics Pathway

Year 8

 

Year 9

 

Year 10

 

Year 11

 

Year 12

 

Leads on to

Year 8 Numeracy

>

Year 9 Numeracy

>

Year 10 Numeracy

>

# VCAL Numeracy

>

VCAL Numeracy

  • TAFE Courses
  • Trade
  • Life skills

#Note: VCAL Numeracy is only available to students in a VCAL program

  • Suggested pathways are shown by arrows in the diagram.
  • All paths lead to different competency levels in Mathematics.
  • Students must have successfully attempted Mathematics 3 or Mathematics Extension 3 to choose a VCE Mathematics.

Many Careers Use Mathematics: Actuaries, Scientists, Architects, Chemists, Computer System Analysts, Economists, Engineers, Geologists, Oceanographers, Mathematicians, Meteorologists, Physicists, Astronomers, Statisticians, Mathematics Teachers, Trade Apprenticeships.

Key Skills:

  • Thinking, analysing and problem solving skills.
  • Communicating in written, verbal and mathematical form.
  • Comprehension of mathematical and written type problems.
  • Application of mathematical skills.
  • Organisation.
  • Use of technology.
  • Skill building activities
  • Problem solving
  • Modelling and simulating
  • Analysing
  • Real life problems
  • Predicting
  • Investigating
  • Technology

Subject Selection and Progression Rules

  • In consultation with teachers, students may choose from different streams of Mathematics at each level.
  • Students will need to obtain an “S” for two semesters before progressing to the next level.
  • Students who do not obtain an “S” will either need to choose an easier stream or attempt the subject again.
  • Any Mathematics teacher will be able to give you more detailed information on what is required to pass each individual subject.

Numeracy Year 8 – NUM81/NUM82

Numeracy Year 8 is suited to students who have not successfully completed Year 7 mathematics or who have difficulties with basic mathematical concepts. During this course students focus on and revise mathematics skills covered in previous years and develop the basic skills needed for the workplace as a consumer. The aim of this course is to develop students’ skills and understanding to a level that will allow them to attempt Mathematics General Year 9 in the following year. This subject uses ICT extensively.

Course Structure:

In this subject students learn about Number, Space, Measurement Chance and Data, Structure and working mathematically.

Assessed Tasks:

Class and homework activities, tests, assignments and exam.

Leads into: Numeracy Year 9 (General Mathematics Year 9)
Booklist Items: Cambridge Essential Mathematics for the Australian Curriculum Gold Year 8, Standard Scientific Calculator
For further info: S. Brown, A. Gale
Subject Cost: Nil

Mathematics General Year 8 – MAT81/MAT82

Mathematics General Year 8 is suited to students who wish to focus on the basic mathematical skills needed for living as a consumer in everyday life and to being a numerate member of the workforce. This course does not cover the material required for students to attempt VCE Mathematical Methods or VCE Specialist Mathematics.

Course Structure:

In this subject students learn about Number, Space, Measurement Chance and Data, Structure and working mathematically.

Assessed Tasks:

Class and homework activities, tests, assignments and exam.

Prerequisites: Satisfactory completion of 2 units of Mathematics
Leads into: Mathematics Year 9
Booklist Items: Cambridge Essential Mathematics for the Australian Curriculum Gold Year 8, Standard Scientific Calculator
For further info: S. Brown, M. Cisar
Subject Cost: Nil

Mathematics Extension Year 8 – MEX81/MEX82

Mathematics Extension Year 8 is suited to students who show an ability, enjoy and have an interest in mathematics. It begins to prepares students for VCE Further Mathematics, Mathematical Methods & Specialist Mathematics and beyond.

Course Structure:

In this subject students learn about Number, Space, Measurement Chance and Data, Structure and working mathematically. An emphasis will be given to extending basic knowledge.

Assessed Tasks:

Class and homework activities, tests, assignments and exam.

Prerequisites: Satisfactory completion of 2 units of Mathematics
Leads into: Extension Mathematics Year 9
Booklist Items: Cambridge Essential Mathematics for the Australian Curriculum Gold Year 9, Standard Scientific Calculator
For further info: S. Brown, T. Domaschenz
Subject Cost: Nil

Numeracy Year 9 – NUM91/NUM92

Numeracy Year 9 is suited to students who have not successfully completed Mathematics Year 8 or who have difficulties with basic Mathematical concepts. During this course students focus on and revise mathematics skills covered in previous years and develop the basic skills needed for the workplace as a consumer. The aim of this course is to develop students’ skills and understanding to a level that will allow them to attempt Mathematics General in the following year. This subject uses ICT extensively.

Course Structure:

In this subject students learn about Number, Space, Measurement Chance and Data, Structure and working mathematically.

Assessed Tasks:

Class and homework activities, tests, assignments and exam.

Leads into: Numeracy Year 10 or Mathematics General Year 9
Booklist Items: Cambridge Essential Mathematics for the Australian Curriculum Gold Year 9, Standard Scientific Calculator
For further info: S. Brown, A. Gale
Subject Cost: Nil

Mathematics General Year 9 – MAT91/MAT92

Mathematics General Year 9 is suited to students who wish to focus on the basic mathematical skills needed for living as a consumer in everyday life and to being a numerate member of the workforce. This course does not cover the material required for students to attempt VCE Mathematical Methods or VCE Specialist Mathematics.

Course Structure:

In this subject students learn about Number, Space, Measurement Chance and Data, Structure and working mathematically.

Assessed Tasks:

Class and homework activities, tests, assignments and exam.

Prerequisites: Satisfactory completion of 2 units of Mathematics General or Mathematics Extension Year 8
Leads into: Mathematics Year 10
Booklist Items: Cambridge Essential Mathematics for the Australian Curriculum Gold Year 9, Standard Scientific Calculator
For further info: S. Brown, T. Domaschenz
Subject Cost: Nil

Mathematics Extension Year 9 – MEX91/MEX92

Mathematics Extension Year 9 is suited to students who show an ability, enjoy and have an interest in mathematics. It prepares students for VCE Further Mathematics, Mathematical Methods & Specialist Mathematics and beyond.

Course Structure:

In this subject students learn about Number, Space, Measurement Chance and Data, Structure and working mathematically. An emphasis will be given to extending basic knowledge.

Assessed Tasks:

Class and homework activities, tests, assignments and exam.

Prerequisites: Satisfactory completion of 2 units of Mathematics General or Mathematics Extension Year 8
Leads into: Mathematics Extension Year 10
Booklist Items: Cambridge Essential Mathematics for the Australian Curriculum Gold Year 10, Standard Scientific Calculator
For further info: S. Brown, J. Ebbs
Subject Cost: Nil

Numeracy Year 10 – NUM01/NUM02

Numeracy Year 10 is suited to students who have not successfully completed Mathematics General Year 9 or who have difficulties with basic mathematical concepts. During this course students focus on and revise mathematics skills covered in previous years and develop the basic skills needed for the workplace and as a consumer. The aim of this course is to develop students’ skills and understanding to a level that will allow them to attempt VCAL Numeracy or Year 10 Mathematics General in the following year.

Course Structure:

In this subject students learn about Number, Space, Measurement Chance and Data, Structure and working mathematically.

Assessed Tasks:

Class and homework activities, tests, assignments, exam.

Prerequisites: Nil
Leads into: VCAL Numeracy and Mathematics General Year 10
Booklist Items: Standard Scientific Calculator
For further info: S. Brown, M. Cisar
Subject Cost: Nil

Mathematics General Year 10 – MAT01/MAT02

Mathematics General Year 10 is suited to students who wish to focus on the basic mathematical skills needed for living as a consumer in everyday life. This course does not cover the material required for students to attempt VCE Mathematical Methods Units 1, 2, 3 & 4 or Specialist Mathematics Units 3 & 4. Students who need more than a basic understanding of mathematics or enjoy the challenges of mathematics are recommended to elect Mathematics Extension.

Course Structure:

In this subject students learn about Number, Space, Measurement Chance and Data, Structure and working mathematically.

Assessed Tasks:

Class and homework activities, tests, assignments, exam.

Prerequisites: Satisfactory completion of 2 units of Mathematics General Year 9 or Mathematics Extension Year 9
Leads into: VCE General Mathematics Units 1 & 2
Booklist Items: Cambridge Essential Mathematics for the Australian Curriculum Gold Year 10, Standard Scientific Calculator
For further info: S. Brown, D. Jones
Subject Cost: Nil

Mathematics Extension Year 10 – MEX01/MEX02

Mathematics Extension Year 10 is suited to students who show an ability, enjoy and have an interest in mathematics. It provides a strong foundation for students going onto VCE Mathematical Methods & VCE Specialist Mathematics and mathematical studies at a tertiary.

Course Structure:

In this subject students will learn about Number, Space, Measurement Chance and Data, Structure and working mathematically. An emphasis will be given to extending basic knowledge.

Assessed Tasks:

Class and homework activities, tests, assignments, exam.

Prerequisites: Satisfactory completion of 2 units of Mathematics General Year 9 or Mathematics Extension 2
Leads into: VCE General Mathematics Units 1 & 2, Math Methods Units 1 & 2 and General Mathematics Tertiary Units 1 & 2
Booklist Items: Pearson Mathematics 10-10A, TI-Nspire CAS Calculator
For further info: S. Brown, J. Ford
Subject Cost: Nil

VCAL Numeracy (Foundation, Intermediate or Senior) – VNUM1/VNUM2

VCAL Numeracy is suited to students completing a VCAL program in Year 11 or 12 who are interested in completing an apprenticeship or traineeship. The subject deals with working mathematically to solve problems. VCAL Numeracy is about making links between Mathematics and the real world.

Course Structure:

The course covers topics such as design, measurement, money, time, number, graphs and problem solving.

Assessed Tasks:

Students will complete assessment portfolios during each topic complemented by workbook tasks and hands-on demonstration of skills. Students who completed the program in Year 11 can undertake the course at Year 12 as it will have a different focus.

VCAA Assessment:

The overall Study Score will consist of:

100 Nominal Hours, numeracy folio, measurement project, statistics project, numeracy skills workbook.

Prerequisites: VCAL program at Year 11 or 12
Leads into: Senior VCAL
Booklist Items: Pre-vocational Mathematics Book
For further info: A. Coloe, F. Krickak
Subject Cost: Nil

VCE General Mathematics Units 1 & 2 – MA071/MA072

VCE General Mathematics is suited to students who are preparing for VCE Further Mathematics.  It provides courses of study for a broad range of students who wish to gain a VCE Mathematics certification.

Course Structure:

In this subject students will study univariate and bivariate data, linear relations and equations, shape and measurement, trigonometry, financial arithmetic, trigonometry, matrices and networks.

Assessed Tasks: 

Exam

Outcome 1 – selection of assignments, tests, and summary or review notes

Outcome 2 – selection of   projects, short written responses, problem-solving tasks and modelling tasks

Outcome 3 – selection of tasks completed in demonstrating achievement of Outcomes 1 and 2, which incorporate the effective and appropriate use of technology.

Prerequisites: Satisfactory completion of two subjects of Mathematics General or Mathematics Extension at Year 10
Leads into: VCE Further Mathematics Units 3 & 4
Booklist Items: Cambridge Essential Standard General Mathematics, TI-Nspire CAS Calculator
For further info: S. Brown, S. Kahanoff
Subject Cost: Nil

VCE Further Mathematics Units 3 & 4 – MA073/MA074

VCE Further Mathematics is suited to students who have completed General Mathematics Units 1 & 2 or Mathematical Methods Units 1 & 2. Further Mathematics Units 3 & 4 is a requirement for some tertiary courses. This subject can be taken on its own or along with Mathematical Methods 3/4.

Course Structure:

Further Mathematics consists of a compulsory core and a selection of three optional modules. The core unit includes the study of statistics. The optional modules covered will be Geometry and Trigonometry, Networks and Decision Mathematics and Matrices. In this subject students will study a compulsory core area of study Data Analysis and then a selection of three from six modules in the   ‘Applications’ area of study. Unit 3 comprises the ‘Data Analysis’ area of study which incorporates a statistical application task, and one of the selected modules from the’ Applications’ area of study.  Unit 4 comprises the two other selected modules from the ‘Applications’ area of study. Assumed knowledge and skills for the ‘Data Analysis’ area of study are contained in the topics: Univariate data, Bivariate data, and Linear relations and equations from General Mathematics Units 1 & 2. For each unit the student is required to demonstrate achievement of three outcomes. Unit 3 Outcomes encompasses ‘Data Analysis’ area of study and one module from the ‘Applications’ area of study. Unit 4 Outcomes encompasses the two selected modules from the ‘Applications’ area of study.

Assessed Tasks:

Analysis tasks, application tasks, topic tests, two end of year exams.

VCAA Assessment:

The overall Study Score will consist of:

School-assessed Coursework – Unit Three 20% and Unit Four 14%, two end-of-year examinations 66%. School-assessed coursework for Unit 3 will contribute 20 per cent and for Unit 4 will contribute 14% to the study score.

Prerequisites: Satisfactory completion of General Mathematics Units 1 & 2
Leads into:
Booklist Items: Cambridge Essential Further Mathematics, TI-Nspire CAS Calculator
For further info: S. Brown, E. Tattersall
Subject Cost: Nil

VCE Mathematical Methods (CAS) Units 1 & 2 – MA111/MA112

VCE Mathematics Methods is suited to students who are preparing for Mathematical Methods (CAS) Units 3 & 4.

Course Structure:

In this subject students will study introductory probability, functions and graphs (sketch graphs of linear, quadratic, cubic and other functions and relations), calculus (constant, average and instantaneous rates of change) and algebra (formulas and equations to generalise and analyse work in other areas).

Assessed Tasks:

Exam

Outcome 1 – selection of assignments, tests, and summary or review notes

Outcome 2 – selection of projects, short written responses, problem-solving tasks and modelling tasks

Outcome 3 – selection of tasks completed in demonstrating achievement of Outcomes 1 and 2,   which incorporate the effective and appropriate use of technology.

Prerequisites: Satisfactory completion of two subjects of Mathematics Extension at Year 10
Leads into: VCE Further Mathematics, Mathematical Methods and Specialist Mathematics Units 3 & 4
Booklist Items: Cambridge Essential Mathematical Methods 1&2 CAS, TI-Nspire CAS Calculator
For further info: S. Brown, E. Tattersall
Subject Cost: Nil

VCE Mathematical Methods (CAS) Units 3 & 4 – MA113/MA114

VCE Mathematical Methods is suited to students who have completed Mathematical Methods Units 1 & 2. Mathematical Methods Units 3 and 4 is a requirement for many tertiary courses.

Course Structure:

In this subject students will study: Functions and Graphs, Calculus, Algebra and Probability, which must be covered in progression from Unit 3 to Unit 4. Assumed knowledge and skills for Mathematical Methods Units (CAS) Units 3 and 4, will be drawn on from last year, as applicable in the development of related content from the areas of study, and key knowledge and skills for the outcomes of Mathematical Methods (CAS) Units 3 and 4. For each unit the student is required to demonstrate achievement of three outcomes. As a set these outcomes encompass all of the selected areas of study for each unit. For each of Unit 3 and Unit 4 the outcomes apply to the content from the areas of study selected for that unit.

Assessed Tasks:

Analysis tasks, application tasks, topic tests, two end of year exams

VCAA Assessment:

The overall Study Score will consist of:

School-assessed Coursework – Unit Three 20% and Unit Four 14%, two end-of-year examinations   66%.School-assessed coursework for Unit 3 will contribute 20 per cent and for Unit 4 will contribute 14 % to the study score.

Prerequisites: Satisfactory completion of Mathematical Methods Units 1 & 2
Leads into: Tertiary Level Mathematics
Booklist Items: Cambridge Essential Mathematical Methods 3&4 CAS, TI-Nspire CAS Calculator
For further info: S. Brown, J Ford
Subject Cost: Nil

VCE Specialist Mathematics Units 3 & 4 – MA093/MA094

VCE Specialist Mathematics is suited to students who are also studying Mathematical Methods 3/4. It will assist with understanding some of the Mathematical Methods topics studied. This study is a prerequisite for some tertiary courses.

Course Structure:

In this subject students will study:

Functions, relations and graphs, Algebra, Calculus, Vectors and Mechanics. For each unit the student is required to demonstrate achievement of three outcomes. As a set these outcomes encompass all of the areas of study for each unit. For each of Unit 3 and Unit 4 the outcomes students apply the content from the areas of study selected for that unit.

Outcome 1 – On the completion of each unit the student should be able to define and explain key terms and concepts as specified in the content from the areas of study, and apply a range of related mathematical routines and procedures. It is expected that students will be able to use technology as applicable in the solution of problems, as well as apply routines and procedures by hand.

Outcome 2 – On the completion of each unit the student should be able to apply mathematical processes, with an emphasis on general cases, in non-routine contexts, and analyse and discuss these applications of mathematics.

Outcome 3 – On completion of each unit the student should be able to select and appropriately use a computer algebra system and other technology to develop mathematical ideas, produce results and   carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

Assessed Tasks:

Analysis tasks, application tasks, topic tests, two end of year exams.

VCAA Assessment:

The overall Study Score will consist of:

School-assessed Coursework – Unit Three 20% and Unit Four 14%, two end-of-year examinations   66%. School-assessed coursework for Unit 3 will contribute 20 per cent and for Unit 4 will contribute 14% to the study score.

Prerequisites: Mathematical Methods Units 1 & 2
Leads into: Tertiary Level Mathematics
Booklist Items: Cambridge Essential Specialist Mathematics, TI-Nspire CAS Calculator
For further info: S. Brown, J Ford
Subject Cost: Nil