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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.

CONTENT

AREAS OF STUDY

CORE

  • Data analysis
  • Recursion and financial modelling

APPLICATIONS

  • Matrices
  • Networks and decision mathematics

Assumed knowledge and skills for Further Mathematics Units 3 and 4 are drawn from General Mathematics Units 1 and 2. Students who have completed only Mathematical Methods Units 1 and 2 will have limited knowledge and skills in some content 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 General Mathematics Units 1 & 2.

The assumed knowledge and skills for the Core 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 Computer Algebra Systems (CAS) technology via a hand-held calculator to support and develop the teaching and learning of mathematics, and in related assessments, is incorporated throughout the course.