General Mathematics - Units 1 & 2

Structure

Units 1 and 2. At Emmaus College General Mathematics is offered as two streams: General Maths A (Advanced) and General Maths B.

General Mathematics A (Advanced)

This course has been designed for students who intend to study higher level Mathematics at Year 12 (Specialist Maths and/or Mathematical Methods 3, 4). General Mathematics A must be taken in conjunction with Mathematical Methods.

General Mathematics B

General Mathematics B has been designed as a preparatory course of study for VCE Further Mathematics.

It may also be undertaken by those students who would like to further their study in mathematics without completing any Maths at Year 12 level.

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.

Outcomes

Outcomes define what students will know and be able to do as a result of undertaking the study.

Outcomes include a summary statement and the key knowledge and skills that underpin them. Only the summary statements have been reproduced below and must be read in conjunction with the key knowledge and skills published in the study design.

Units 1 & 2

General Mathematics provides courses of study for a broad range of students and may be implemented in a number of ways. Some students will not study Mathematics beyond Units 1 and 2, while others will intend to study Further Mathematics Units 3 and 4. Others will also be studying Mathematics Methods Units 1 and 2 or Mathematics Methods Computer Algebra System (CAS) Units 1 and 2 and intend to study Mathematical Methods Units 3 and 4, or Mathematical Methods (CAS) Units 3 and 4 and, in some cases, Specialist Mathematics Units 3 and 4 as well.

The areas of study for Unit 1 and Unit 2 of General Mathematics are ‘Arithmetic’, ‘Data analysis and simulation’, ‘Algebra’, ‘Graphs of linear and non-linear relations’, ‘Decision and business mathematics’ and ‘Geometry and trigonometry’.

Units 1 and 2 are to be constructed to suit the range of students entering the study by selecting material from the six areas of study using the following rules:


• for each unit, material covers four or more topics selected from at least three different areas of study;
• courses intended to provide preparation for study at the Units 3 and 4 level should include selection of material from areas of study which provide a suitable background for these studies;
• selected material from an area of study provide a clear progression in key knowledge and key skills from Unit 1 to Unit 2.

The appropriate use of technology to support and develop the teaching and learning of mathematics is to be incorporated throughout the course. This will include the use of some of the following technologies for various areas of study or topics: graphics calculators, spreadsheets, graphing packages, dynamic geometry systems, statistical analysis systems, and computer algebra systems.

Outcome 1
On completion of each unit the student should be able to define and explain key concepts in relation to the topics from the selected areas of study, and apply a range of related mathematical routines and procedures.
Outcome 2
On completion of each unit the student should be able to apply mathematical processes in non-routine contexts, and analyse and discuss these applications of mathematics in at least three areas of study.
Outcome 3
On completion of each unit the student should be able to use technology to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches in at least three areas of study.

Assessment

Satisfactory Completion

Demonstrated achievement of the set of outcomes specified for the unit.

Levels of Achievement

Units 1 and 2

Individual school decision on levels of achievement.
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