# Year 12 - Maths Methods Unit 3-4

**VCE Units 3 and 4 Mathematical Methods **

In any career there are tools of the trade. Think about an engineer, a financial advisor, a scientist and so on. Without the tools and an understanding of how to use them you could not perform your job. Studying Mathematical Methods requires tools like algebra and a solid understanding from Units 1 & 2. Are you equipped?

At what rate does a disease spread through a population? What about a bushfire? Is that skateboard ramp safe? How can materials be minimised when making a package for a product? How can the area of dolphin fins be found in order to identify them? Modelling real life data does not fit a straight line. The models are combinations of functions. How can this be done? How are functions used to model the behaviour of earthquakes and tidal flows? How do functions help to predict population changes in specific areas? What about predicting economic changes? How can the waiting time or a train be modelled? How are VCE scores modelled?

Mathematical Methods 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 ideas, techniques and processes.

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 unfamiliar situations, 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 – **Tasks will include components to be completed with and without the use of technology

** **

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

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

- Functions and Graphs – behaviour of functions and a study of their key features
- Algebra – supports other areas of study
- Calculus – derivatives, rules; product, chain and quotient, applications, antidifferentiation, integration – areas under a curve and between curves
- Probability and Statistics – discrete and continuous random variables and statistical inferences for sample proportions

**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