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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