## VCE Maths Electives

### VCE FOUNDATION MATHS 1 & 2

**Please Note:**

*If you undertook Year 10 Numeracy this is the ONLY VCE Maths subject available to you in Year 11.**If you are a VCE student you need to be aware that VCE Foundation Maths is a terminal subject, meaning it has no pathway into a Year 12 Mathematics subject.*

The purpose of this subject is to enable students to develop everyday numeracy to make sense of their daily personal and public lives. The mathematics includes the following which are part of the learner’s normal routine:

- Measurement
- Shape
- Numbers
- Graphs applied to tasks

Also extending to applications outside their immediate personal environment such as the workplace and the community. There is a strong emphasis on using mathematics in practical contexts relating to everyday life, recreation, work and study.

The areas of study for Units 1 and 2 of Foundation Mathematics are:

- Space, shape and design
- Patterns and number
- Handling data
- Measurement

A CAS calculator is **NOT** required for this subject.

### VCE GENERAL MATHEMATICS Units 1 and 2

This course of study is intended to cater for quite a diverse groups of students who have shown they have a good grasp of Mathematics in Year 10.

Students who undertake this course generally fall into the following categories:

- They require it as their only Maths subject and intend to do no subsequent mathematical studies in Year 12.
- They require it and are planning to undertake Further Mathematics Units 3 and 4 the following year.
- They study this course along with Mathematical Methods Unit 1 and 2
- They are in Year 10, enjoy and were successful with above level content in Year 9 Maths and wish to get a taster of VCE.

The areas of study for Unit 1 and 2 of General Mathematics are:

- Arithmetic and Number
- Discrete Mathematics
- Algebra and Structure
- Graphs of linear and non-linear relations
- Geometry
- Measurement
- Trigonometry

If you completed General Mathematics Units 1 and 2 in Year 10, you could do Further Mathematics Unit 3 and 4 in Year 11.

General Maths Unit 1 and 2 is for medium level Maths ability (Victorian Curriculum)

This could be an option for students who are high ability and need a Maths in their VCE but do not require Mathematical Methods for their future career pathway.

A CAS calculator is **ESSENTIAL **for this subject

### Further Mathematics Units 1 - 4

This course of study is intended to follow on from General Mathematics Units 1 and 2, however high achieving students who have not completed General Mathematics Units 1 and 2 can also choose this subject.

This could be an option for students who are high ability and need a Maths in their VCE but do not require Mathematical Methods for their future career pathway.

The areas of study for Further Mathematics Units 3 and 4 come under the categories: Core and Modules, where Core must be completed by all students, and Modules are 2 chosen areas of study from a given list.

Core:

Data Analysis

Recursion and Financial Modelling

Modules:

Networks and Decision Mathematics

Geometry and Measurement

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

Alegebraic manipulation

Equations

Graphs

A CAS calculator is **ESSENTIAL **for this subject

### VCE MATHS METHODS UNITS 1 - 2

Mathematical Methods (CAS) Unit 1 and 2 is for high level Maths ability students (students working above the Standard in Year 10 Victorian Curriculum)

**Units 1 and 2:**

- Functions and Graphs
- Algebra
- Calculus
- Probability
- Statistics

Students are expected to be able to apply:

- Techniques
- Routines
- Processes involving arithmetic
- Algebra
- Equation solving
- Graph sketching with and without the use of technology

The appropriate use of Computer Algebra System (CAS) technology to support and develop the teaching and learning of mathematics, and in related assessments, will be incorporated throughout the unit.

A Graphics (CAS) calculator is **ESSENTIAL** for this subject

**UNITS 3 and 4**

Assumed knowledge and skills for Mathematical Methods Units 3 and 4 are contained in Mathematical Methods Units 1 and 2 and will be drawn on as applicable.

Mathematical Methods (CAS) Units 3 and 4 consist of the following areas of study which must be covered in progression from Unit 3 to Unit 4.

- Functions and graphs
- Calculus
- Algebra
- Probablity and statistics

In undertaking these units, students will be encouraged to apply techniques, routines and mathematical processes (modelling, transformations, graph sketching and equation solving) in application to contexts related to these areas of study.

Students will be required to demonstrate their understanding of the areas of study on the three school assessed tasks and two end of year exams.

A CAS calculator is ESSENTIAL for this subject

### VCE SPECIALIST MATHS

**SPECIALIST MATHEMATICS UNITS 1 – 4
**

**Students must have passed both Mathematical Methods and Specialist Maths Units 1 and 2 and have high assessment task results. Otherwise entry is via teacher approval.**

Students **must either** have completed Mathematical Methods Units 1 and 2

Specialist Mathematics is required by students needing a strong Mathematical background for entry into University.

Specialist Mathematics consists of the following areas of study:

- Algebra and Structure
- Arithmetic and Number
- Discrete Mathematics
- Geometry
- Measurement and Trigonometry
- Graphs of linear and non-linear relations
- Statistics

In undertaking these units, students are expected to be able to apply techniques, routines and processes involving:

- Rational, real and complex arithmetic
- Sets, lists and tables
- Diagrams and geometric constructions
- Algebraic manipulation
- Equations
- Graphs with and without the use of technology

A CAS calculator is **ESSENTIAL** for this subject.

**Specialist Mathematics Units 3-4**

**Students must have passed both Mathematical Methods and Specialist Maths Units 1 and 2 and have high assessment task results. Otherwise, entry is via teacher approval.**

Students must either have completed Mathematical Methods Units 1 and 2.

Specialist Mathematics is required by students needing a strong Mathematical background for entry into some University courses

Specialist Mathematics consists of the following areas of study:

- Functions and Graphs
- Algebra
- Calculus
- Vectors
- Mechanics
- Probability
- Statistics

Students are expected to be able to apply techniques, routines and processes, involving:

- Arithmetic
- Algebraic manipulation
- Diagrams
- Geometric constructions
- Solving equations
- Graph sketching
- Differentiation
- Integration related to the areas of study both with and without the use of technology

A CAS calculator is **ESSENTIAL** for this subject.