# Mathematics

Click on one of the buttons below to learn about how you can study Mathematics in VCE at Kardinia International College.

Units 1 and 2
Units 3 and 4

### General Mathematics - Units 1 and 2

General Mathematics provides for different combinations of students interests and preparation for study of VCE General Mathematics at Unit 3 and 4 level.

### Areas of study

• Arithmetic and number: Computation and practical arithmetic, Financial arithmetic
• Discrete mathematics: Matrices, Graphs and Networks, Number patterns and recursion
• Geometry, measurement and trigonometry: Shape and measurement, Applications of trigonometry
• Graphs of linear and non-linear relations: Linear graphs and models, Inequalities and linear programming, Variation
• Statistics: Investigating and comparing data distributions, Investigating relationships between two numerical variables

### Outcomes

• To define and explain key concepts as specified in the selected content from the areas of study, and apply a range of related mathematical routines and procedures.
• To select and apply mathematical facts, concepts, models and techniques from the topics covered in the unit to investigate and analyse extended application problems in a range of contexts.
• To select and use numerical, graphical and symbolic and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

### General Mathematics - Units 3 and 4

These units are designed to follow on from General Mathematics Unit 1 and Unit 2. It will provide a broad base of mathematical experience which is considered suitable for employment or further study where mathematics is a supporting subject but not the main focus of the course. It may be taken on its own or in conjunction with Mathematical Methods Unit 1 and Unit 2.

### Areas of study - Prescribed

• Data Analysis
• Discrete Mathematics: Financial Maths, Matrices, Networks and decision Mathematics.
• Financial Modelling

### Outcomes

• Define and explain key concepts and apply related mathematical techniques and models as specified in the content from the compulsory areas of study.
• Select and apply the mathematical concepts, models and techniques as specified from the content in the compulsory areas of study in a range of contexts of increasing complexity
• Select and appropriately use technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative approaches from the compulsory areas of study.
Units 1 and 2
Units 3 and 4

### Mathematical Methods - Units 1 and 2

These units are designed as preparation for Mathematical Methods Units 3 and 4.

### Areas of study

• Functions and graphs
• Algebra
• Calculus
• Probability and statistics

### Outcomes

• Define/explain key concepts as specified in the areas of study and apply a range of related mathematical routines and procedures.
• Apply mathematical processes in non-routine contexts, including situations requiring problem-solving, modelling or investigative techniques or approaches, and analyse and discuss these applications of mathematics.
• Use technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving or investigative approaches.

### Mathematical Methods - Units 3 and 4

These units follow on directly from Mathematical Methods Unit 1 & Unit 2 and in particular, will assume knowledge of material studied in Unit 2. It may be taken in conjunction with either General Mathematics Unit 3 & Unit 4 or Specialist Mathematics Unit 3 & Unit 4. It is intended to provide suitable foundation for further studies in courses such as Science, Economics, Medicine and Engineering.

### Areas of study

• Functions and graphs
• Algebra
• Calculus
• Probability and statistics

### Outcomes

• To define/explain key terms and concepts as specified in the content from the areas of study, and to apply a range of related mathematical routines and procedures.
• Apply mathematical processes in non-routine contexts and to analyse and discuss these applications of mathematics.
• Select and appropriately use technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.
Units 1 and 2
Units 3 and 4

### Specialist Mathematics - Units 1 and 2

This subject provides a course of study for students who wish to undertake an in-depth study of mathematics. This subject is designed to be taken in conjunction with Mathematical Methods Unit 1 and Unit 2 in preparation for Specialist Mathematics Unit 3 and Unit 4.

### Areas of study - Prescribed

• Arithmetic and number
• Geometry, measurement and trigonometry
• Graphs of linear & non-linear relations

### Areas of study - Selected: Two optional

• Logic and algebra
• Transformations, trigonometry and matrices
• Principles of counting
• Graph Theory
• Kinematics
• Simulation, sampling and distributions

### Outcomes

• Define and explain key concepts in relation to the topics from the selected areas of study, and apply a range of related mathematical routines and procedures.
• Apply mathematical processes in non-routine contexts, and analyse and discuss these applications of mathematics in at least three areas of study.
• Use technology to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches in at least three areas of study.

### Specialist Mathematics - Units 3 and 4

This subject is designed to be taken in conjunction with Mathematical Methods Unit 3 and Unit 4 and would normally require that both mathematics subjects were studied at year 12. It is intended for students who wish to undertake specialist courses in mathematics and related disciplines, such as Engineering.

### Areas of study

• Discrete Mathematics
• Functions, Relations and Graphs
• Algebra, Number and Structure
• Calculus
• Space and Measurement
• Data Analysis, Probability and Statistics

### Outcomes

• Define and explain key concepts as specified in the content from the areas of study, and to apply a range of related mathematical routines and procedures.
• Apply mathematical processes, with an emphasis on general cases, in non-routine contexts and analyse and discuss these applications of mathematics.
• Select and appropriately use numerical, graphical, symbolical and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.