## Mathematics

*MA073 & MA074 UNITS 3 & 4:* FURTHER MATHEMATICS**Rationale:** This course would suit students preparing for further study in such areas as Business Studies, Economics Courses, Social Science or Biological Science.

**Areas of Study**

Students study a common core and two modules from the list below

- Core: Data analysis, Recursion and Financial Modelling
- Module 1: Matrices
- Module 2: Networks and Decision Mathematics
- Module 3: Geometry and Measurement
- Module 4: Graphs and Relations

**Outcomes****Unit 3** Students should be able to:

- Define and explain key terms and concepts as specified in the areas of study and use this knowledge to apply related mathematical procedures to solve routine application problems.
- Use mathematical concepts and skills developed in the Data analysis area of study to analyse a practical and extended situation and interpret the outcomes of this analysis in relation to key features of that situation.
- 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 in the areas of study.

**Unit 4** Students should be able to:

- Define and explain key terms and concepts as specified in the areas of study and use this knowledge to apply related mathematical procedures to solve routine application problems.
- Apply mathematical processes in contexts related to the modules 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 in the areas of study.

**Assessment for Units 3 & 4:** S or N based on the demonstrated achievement of the outcomes specified above. The student’s level of achievement for Units 3 and 4 will be determined by:

- School-Assessed Coursework for Unit 3: 20%
- School-Assessed Coursework for Unit 4: 14%
- Two end-of-year exams: 66%

*MA113 & MA114 UNITS 3 & 4:* MATHEMATICAL METHODS (CAS)**Rationale:** This course is intended for students interested in pursuing Mathematics studies at a tertiary level and is a prerequisite for many Engineering/Science and Business/Economics degree courses. The course develops and extends Mathematical Methods Units 1 & 2.

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

**Areas of Study**

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

**Outcomes**

Students should be able to:

- Define and explain key concepts as specified in 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.

**Assessment:** S or N based on the demonstrated achievement of the outcomes specified above.

The student’s level of achievement for Units 3 and 4 will be determined by:

- School-Assessed Coursework for Unit 3: 20%
- School-Assessed Coursework for Unit 4: 14%
- Two end-of-year exams: 66%

*MA093 & MA094 UNITS 3 & 4:* SPECIALIST MATHEMATICS**Rationale:** This course is intended for students interested in pursuing Mathematics studies at a tertiary level and is a prerequisite for many Science and Engineering degree courses. This study extends the material from Mathematical Methods Units 3 & 4 and can only be taken following or concurrently with Mathematical Methods Units 3 & 4.

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

**Areas of Study**

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

**Outcomes**

Students should be able to:

- Define and explain key terms and concepts as specified in 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 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.

**Assessment:** S or N based on the demonstrated achievement of the outcomes specified above.

The student’s level of achievement for Units 3 and 4 will be determined by:

- School-Assessed Coursework for Unit 3: 14%
- School-Assessed Coursework for Unit 4: 20%
- Two end-of-year exams: 66%