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VCE Mathematics

# Further Mathematics Unit 1 and 2

## Prerequisites

Completion of Year 10 Mathematics.

## Course Description

Further Mathematics Units 1 and 2 is the VCAA General Mathematics course, it is designed to be widely accessible for students and may lead on to Further Mathematics Units 3 and 4.

Students learn to practice and apply mathematical algorithms, routines and techniques by undertaking investigative projects involving the use of mathematics; solve problems set in unfamiliar situations and in real-life situations; find solutions to standard problems.

CAS technology and reference material are used throughout the course to support learning and are used for each assessment.

## Areas of Study

The Mathematics learning area will choose topics from the areas of study listed below. This will be done according to VCAA regulations.

Algebra and Structure

• Linear relations and equations.

Arithmetic and Number

• Computation and practical arithmetic.
• Financial arithmetic.

Discrete Mathematics

• Matrices.
• Graphs and networks.
• Number patterns and recursion.

Geometry, Measurement and Trigonometry

• Shape and measurement.
• Applications of trigonometry.

Graphs of Linear and Non-Linear Relations

• Linear graphs and models.
• Inequalities and linear programming.
• Variation.

Statistics

• Investigating and comparing data distributions.
• Investigating relationships between two numerical variables.

## Assessment

 Outcomes Assessment Tasks (school-assessed coursework) Define and explain the key concepts and be able to apply a range of related mathematical routines and procedures. Assignments. Summaries. Tests. Apply mathematical procedures in non-routine contexts and to analyse and discuss these applications of mathematics. Modelling tasks. Problem-solving. Mathematical investigations. Use numerical, graphical, symbolic and statistical technology to produce results and carry out analysis in situations involving problem-solving, modelling or investigative techniques. Based on performance in a selection of tasks completed in achieving the outcomes above which incorporate the effective and appropriate use of technology.

## Overall Final Assessment

End of Semester Examination – 1.5 hours.

Information can be obtained from the Victorian Curriculum and Assessment Authority, Victoria, Australia: www.vcaa.vic.edu.au