# Year 12 - Further Maths Unit 3-4

Unit 3 Further Mathematics consists of the compulsory core areas of study; ‘Data analysis’ and

‘Recursion and financial modelling’.

Unit 4 consists of a selection of two from four modules in the ‘Applications’ area of study.

Students who can study this subject have studied General Mathematics Unit 1 and 2 or Mathematical Methods Units 1 and 2 previously.

The average number of children in an Australian family is 2.1. What does this mean? That data is skewed! What measure of average should be used as a result? Modelling real life data does not fit a straight line in most circumstances. How can we model non-linear data? Unemployment rate is seasonally adjusted – ????

Further Mathematics Units 3 and 4 is the study of this and more.

Students will use the CAS (Computer Algebra Systems) calculator as a learning tool to enhance their understanding of the concepts.

This subject is designed to provide access to worthwhile and challenging mathematical learning in a way that takes into account the needs and aspirations of a wide range of students. It is also designed to promote students’ awareness of the importance of mathematics in everyday life in a technological society, and confidence in making effective use of mathematical concepts, processes and skills in practical and theoretical contexts.

Students will engage in the following mathematical activities within the areas of study:

- Apply knowledge and skills: Learning and practising mathematical algorithms, routines and techniques, and using them to find solutions to standard problems.
- Model, investigate and solve problems: The application of mathematical knowledge and skills in situations that range from well-defined and familiar to open-ended and unfamiliar, including situations that require investigative, modelling or problem solving approaches.
- Use technology: The effective and appropriate use of technology to produce results, which support learning mathematics and its application in different contexts.

**Main Assessment Tasks**

- Application task
- Modelling or problem-solving tasks
- Two externally assessed exams

Students will develop knowledge based around the following areas of study:

- Data Analysis – investigating data distributions, investigating associations between two variables including linear modelling and investigating and modelling time series data
- Recursion and financial modeling – depreciation of assets, investments and loans
- Applications – two modules chosen from the following: Matrices, Networks and decision mathematics, Geometry and measurement and Graphs and relations.

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**Equipment**

- Text book – see the booklist for the correct title and edition
- CAS calculator – TI-nspire CX CAS
- Folder or exercise books
- Digital device
- Ruler