## VCE MATHS ELECTIVES

### VCE VM Numeracy 1 and 2

**Please Note: ***You cannot undertake VCE VM Numeracy as part of a VCE (University) or VCE (Further Learning) pathway. *

VCE Vocational Major Numeracy focuses on enabling students to develop and enhance their numeracy skills to make sense of their personal, public and vocational lives. Students develop mathematical skills with consideration of their local, national and global environments and contexts, and an awareness and use of appropriate technologies.

In Unit 1, students will develop their numeracy practices to make sense of their personal, public and vocational lives. They will develop mathematical skills with consideration of their local, community, national and global environments and contexts, and an awareness and use of appropriate technologies.

In Unit 2, students will develop and extend their numeracy practices to make sense of their personal, public and vocational lives. They will develop mathematical skills with consideration of their local, community, national and global environments and contexts, and identification and appropriate selection and use of relevant technologies.

### VCE VM Numeracy 3 and 4

In Unit 3, students further develop and enhance their numeracy practices to make sense of their personal, public and vocational lives. Students extend their mathematical skills with consideration of their local, community, national and global environments and contexts, and the use and evaluation of appropriate technologies.

In Unit 4, students further develop, enhance and extend their numeracy practices to make sense of their personal, public and vocational lives. Students extend their mathematical skills with consideration of their local, community, national and global environments and contexts, and use of, evaluation and justification of appropriate technologies.

### FOUNDATION MATHS 1 and 2

**Please Note: ***If you undertook Year 10 Numeracy, this is the only VCE Maths subject available to you in Year 11.*

The course is designed as preparation for Foundation Mathematics Units 3 and 4, and contains assumed knowledge and skills for these units.

The purpose of this subject is to enable students to develop everyday numeracy to make sense of their daily personal and public lives.

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:

- Algebra, number and structure
- Data analysis, probability and statistics
- Discrete mathematics (Financial and consumer mathematics)
- Shape and measurement

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

### FOUNDATION MATHS 3 and 4

The focus of this subject is on providing students with the mathematical knowledge, skills and understanding to solve problems in real contexts for a range of workplace, personal, further learning, community and global settings relevant to contemporary society.

The areas of study for Units 3 and 4 of Foundation Mathematics are:

- Algebra, number and structure
- Data analysis, probability and statistics
- Discrete mathematics (Financial and consumer mathematics)
- Shape and measurement

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

### GENERAL MATHEMATICS Units 1 and 2

This subject is designed for students who have completed Year 10 Standard Mathematics and demonstrated a good understanding of the ‘at level’ skills.

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

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

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

The course provides preparation for the study of VCE General Mathematics Units 3 and 4 and contains assumed knowledge and skills for these units.

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

- Data analysis, probability and statistics
- Algebra, number and structure
- Function, relations and graphs
- Discrete Mathematics

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

### General Mathematics Units 3 and 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. General Mathematics Units 3 and 4 focus on real-life applications of mathematics.

Unit 3 comprises:

- Data Analysis
- Recursion and Financial Modelling

Unit 4 comprises:

- Matrices
- Networks and Decision Mathematics

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
- Equations
- Graphs

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

### MATHEMATICAL METHODS UNITS 1 and 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)

This course provides preparation for the study of VCE Mathematical Methods (CAS) Units 3 and 4 and contains assumed knowledge and skills for these units.

The areas of study for Unit 1 and 2 are:

- Functions, Relations and Graphs
- Algebra, Number and Structure
- Calculus
- Data Analysis, Probability 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.

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

### MATHEMATICAL METHODS UNITS 3 and 4

**UNITS 3 and 4**

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

- Functions, relations and graphs
- Calculus
- Algebra
- Probability and Statistics

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.

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

### SPECIALIST MATHS Units 1 and 2

Students must ** either **have completed Mathematical Methods Units 1 and 2 or be studying Mathematical Methods Units 1 and 2 in the same year of enrolment.

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
- Proof
- Vectors
- Graphs of linear and non-linear relations
- Statistics
- Algorithms and pseudocode

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

### SPECIALIST MATHS Units 3 and 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.**

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
- Probability and Statistics

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

- Algebra with real and complex numbers
- Differentiation and integration
- Graphing with and without technology
- Methods of proof
- Application of trigonometry and circular functions

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