**GENERAL MATHEMATICS ****Units 1 & 2**

**Units 1 & 2**

*General Mathematics Units 1 & 2 allows students to study Further Mathematics Units 3 & 4.*

*Areas of Study*

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

*Outcomes*

On completion of these units the student should be able to:

- Define and explain key concepts as specified in the content from the areas of study and use this knowledge to solve routine application problems.
- 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.
- Use a CAS calculator to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches

*Assessment*

Assessment tasks will be drawn from:

• assignments

• tests

• summary or review notes

• modelling tasks

• problem solving tasks

• mathematical investigations.

**MATHEMATICAL METHODS ****Units 1 & 2**

*Mathematical Methods Units 1 & 2 allows students to study Mathematical Methods Units 3 & 4 and Specialist Mathematics Units 3 & 4*

**Units 1 & 2**

Other subjects that complement Mathematical Methods are:

*Areas of Study*

• Functions and graphs

• Algebra

• Calculus

• Probability and Statistics

*Outcomes*

On completion of these units the student should be able to:

- Define and 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 and analyse and discuss these applications of mathematics
- Use a CAS calculator to produce results and carry out analysis in situations requiring problem solving, modelling or investigative techniques or approaches.

*Assessment*

Assessment tasks will be drawn from:

• assignments

• tests

• summary or review notes

• modelling tasks

• problem solving tasks

• mathematical investigations

## **SPECIALIST MATHEMATICS ****Units 1 & 2**

**Units 1 & 2**

*Specialist Mathematics * **may only be** taken in conjunction with Mathematical Methods Units 1 & 2.

*Specialist Mathematics Units 1 & 2 provides a comprehensive background for Mathematical Methods Units 3 & 4 and Specialist Mathematics Units 3 & 4. *

*It is strongly advised that students who are thinking of choosing Specialist Mathematics Units 3 & 4 complete the sequence of Specialist Unit 1 & 2.*

*Areas of Study*

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

*Outcomes*

On completion of these units the student should be able to:

- Define and 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 and analyse and discuss these applications of mathematics
- Use a CAS calculator to produce results and carry out analysis in situations requiring problem solving, modelling or investigative techniques or approaches.

*Assessment*

Assessment tasks will be drawn from:

• assignments

• tests

• summary or review notes

• modelling tasks

• problem solving tasks

• mathematical investigations

**FURTHER MATHEMATICS ****Units 3 & 4**

**Units 3 & 4**

*This subject may be selected by students who have undertaken either General Mathematics 1 & 2 and or Mathematical Methods 1 & 2. *

*Highly able students who successfully undertake Mathematics A in Year 10 may apply to accelerate into Further Mathematics Units 3 & 4 in Year 11. If acceleration is approved, the student must also select Maths Methods Units 1 & 2.*

*Areas of Study*

• Core: Data analysis

• Core: Recursion and financial modelling

• Modules—selection of 2 out of 4 modules: Matrices, Networks and decision mathematics, Geometry and measurement, Graphs and relations

*Outcomes*

On completion of these units the student should be able to:

- Define and explain key concepts as specified in the areas of study and use this knowledge to apply a range of related mathematical techniques and models in routine contexts
- Select and apply mathematical concepts, models and techniques in a range of contexts of increasing complexity
- Use a CAS calculator to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

*Assessment*

• School assessed coursework (Application Task and three Modelling/Problem Solving Tasks) for Unit 3 contributes 20 per cent and for Unit 4 contributes 14 per cent to the final assessment

• Units 3 & 4 are also assessed by two end of year examinations which contribute 66 per cent in total to the final assessment

## MATHEMATICAL METHODS Units 3 & 4

Other subjects that complement Mathematical Methods are:

*Areas of Study*

• Functions and Graphs

• Algebra

• Calculus

• Probability and Statistics

*Outcomes*

On completion of these units the student should be able to:

- Define and 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 and to analyse and discuss these applications of mathematics
- Use a CAS calculator to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

*Assessment*

• School assessed coursework (Application Task and two Modelling/Problem Solving Tasks) contributes 17 per for each of Units 3 and 4

• Units 3 and 4 are also assessed by two end of year examinations which contribute 66 per cent to the final assessment

## SPECIALIST MATHEMATICS **Units 3 & 4**

#### Mathematical Methods Units 3 & 4 **must be** taken in conjunction with this subject.

Other subjects that complement Specialist Mathematics are:

*Areas of Study*

• Functions and Graphs

• Algebra

• Calculus

• Vectors

• Mechanics

• Probability and Statistics

*Outcomes*

On completion of these units the student should be able to:

- Apply mathematical processes in non-routine contexts and to analyse and discuss these applications of mathematics
- Use a CAS calculator to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

*Assessment*

• School assessed coursework (Application Task and two Modelling/Problem Solving Tasks) contributes 17 per for each of Units 3 and 4

• Units 3 and 4 are also assessed by two end of year examinations which contribute 66 per cent to the final assessment.

**Click on this link to view some exciting uses of Mathematics developed by University Students.**