## Mathematics

*MA071 & MA072 UNITS 1 & 2:* GENERAL MATHEMATICS

**Rationale:** This course has been designed for students preparing for work in a service industry, banking or an administrative or clerical job. The content provides sufficient grounding for students wishing to undertake Further Mathematics Units 3 & 4 as preparation for further studies in such areas as Business Studies, Economics, Social Science or Biological Science.

**Areas of Study will be chosen from**

- Statistics – Univariate + Bivariate
- Linear Equations
- Variation
- Linear Graphs and Modelling
- Shape and Measurement
- Geometry and Trigonometry
- Financial Arithmetic
- Number Patterns and Recursion
- Matrices
- Networks

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

- Define and explain key concepts in relation to the topics from the selected areas of study and apply a range of 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 of the areas of study.

**Assessment:** S or N based on the demonstrated achievement of the outcomes specified above. In addition, a level of achievement A+ to E or N will be reported based on results obtained in assessment tasks which include assignments and homework, tests and an exam for each unit.

**MA111 & MA112 UNITS 1 & 2: MATHEMATICAL METHODS (CAS)**

**Rationale:** This course is intended for students interested in pursuing Mathematics studies at a tertiary level and is required for many tertiary courses. For this purpose it would be best taken as part of a six-unit or eight-unit VCE Mathematics program. This course includes prerequisite material for Mathematical Methods Units 3 and 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 and Graphs
- Algebra
- Rates of Change and Calculus
- Probability and Statistics

**Outcomes**

Students should be able to:

- Define and explain key concepts as specified in the content from each area of study and apply a range of related mathematical routines and procedures.
- Apply mathematical processes in non-routine contexts to analyse and discuss these applications of mathematics.
- Use technology to 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. In addition a level of achievement, A+ to E or N, will be reported based on results obtained in assessment tasks which include assignments tests and an exam for each unit.

*MB071 & MB072 UNITS 1 & 2:* SPECIALIST MATHEMATICS**Rationale:** The course is designed for students intending to do a post-secondary course in Mathematics, Engineering or Physical/Applied Sciences. The course would fit well into an eight unit Mathematics program (ie taken in conjunction with Units 1 & 2 Mathematical Methods). The content provides sufficient grounding for students wishing to undertake Mathematical Methods Units 3 & 4 and Specialist Mathematics Units 3 & 4.

Areas of Study will be chosen from

- Arithmetic and Number
- Geometry, Measurement and Trigonometry
- Graphs of Linear and Non-linear Relations
- Algebra and Structure
- Transformations, Trigonometry and Matrices
- Discrete Mathematics
- Statistics

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

- Define and explain key concepts in relation to the topics from the selected areas of study and apply a range of 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 of the areas of study.

**Assessment:** S or N based on the demonstrated achievement of the outcomes specified above. In addition, a level of achievement A+ to E or N will be reported based on results obtained in assessment tasks which include assignments and homework, tests and an exam for each unit.