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Mathematics: Further Mathematics Units 3 & 4

OVERVIEW

Further Mathematics is designed to provide access to worthwhile and challenging mathematical learning in a way which 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 effecting use of mathematical ideas, techniques and processes.

Each unit deals with specific content and is designed to enable students to achieve a set of outcomes. Each outcome is described in terms of key knowledge and skills.

The assumed knowledge and skills for Further Mathematics Units 3 and 4 are drawn from General Mathematics Units 1 and 2. Students who have done only Mathematical Methods Units 1 and 2 will have had access to limited knowledge and skills relevant to Further Mathematics.

Some additional preparatory work will be necessary for any student who decides to undertake Further Mathematics Unit 3 & 4 without completing year 11 General Mathematics Units 1 & 2.

Further Mathematics consists of a compulsory core area of study and a selection of two from four modules in the ‘Applications’ area of study.

CONTENT

AREAS OF STUDY

  • Core Material

-                 Data analysis

-                 Recursion and Financial Modelling

  • Modules

-                 Module 1: Matrices

-                 Module 2: Networks and decision mathematics

-                 Module 3: Graphs and relations

-                 Module 4: Geometry and measurement

Assumed knowledge and skills for the Core Material areas of study are contained in the topics: Investigating and comparing distributions, Investigating relationships between two variables, Linear graphs and modeling, Linear equations and relations, Number Patterns and Recursion and Computation & Practical Arithmetic topics from General Mathematics Units 1 and 2.

Relevant skills for the Modules chosen at the College are contained in the topics: Matrices and Graphs and Networks topics from General Mathematics Units 1 and 2.

The appropriate use of technology to support and develop the teaching and learning of mathematics is to be incorporated throughout the units.