# Mathematics Pathways

# General Mathematics

Unit 1+2

#### Overview

General Mathematics Units 1 and 2 cater for a range of student interests and provides preparation for the study of VCE General Mathematics Units 3 & 4.

On completion of these units the student should be able to:

- Define and explain key concepts as specified in the content from the areas of study and use this knowledge to solve routine application problems.
- Select and apply mathematical facts, concepts, models and techniques from the topics covered in the unit to investigate, analyse and model situations in a range of non-routine contexts.
- Use a CAS calculator to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches

**Unit Prerequisites**

Students are expected to have completed Year 10 mathematics.

**Download > VCE Mathematics Study Design**

**Areas of Study**

There are four areas of study:

- Data analysis, probability and statistics
- Algebra, number and structure
- Functions, relations and graphs
- Discrete mathematics

**Unit Assessment**

Assessment tasks will be drawn from:

- assignments
- tests
- solutions to sets of worked questions
- summary or review notes
- modelling tasks
- problem solving tasks
- mathematical investigations

**Pathways**

General Mathematics Units 1 & 2 allows students to study General Mathematics Units 3 & 4. A study of Mathematics is often a pre-requisite or an advantage to study beyond secondary school.

**View Maths Career Bullseye**

# Mathematical Methods

Unit 1+2

#### Mathematical Methods Units 1 & 2

Mathematical Methods provide background for further study in areas such as: science, technology, engineering and mathematics (STEM), humanities, economics and medicine. It is a pre-requisite for study of Mathematical Methods Units 3 & 4.

#### Overview

On completion of these units the student should be able to:

- Define and explain key concepts as specified in the areas of study and apply a range of related mathematical routines and procedures
- Apply mathematical processes in non-routine contexts and analyse and discuss these applications of mathematics
- Use a CAS calculator to produce results and carry out analysis in situations requiring problem solving, modelling or investigative techniques or approaches.

**Unit Prerequisites**

All students must have completed Year 10 Mathematics to a satisfactory standard. It is strongly advised that they have completed their studies in Year 10 Maths A. Mathematical Methods is a challenging subject and a strong ability and / or determination are vital to taking on this challenge.

**Areas of Study**

- Functions, relations and graphs
- Algebra, number and structure
- Calculus
- Data analysis, probability and statistics

**Download > VCE Mathematics Study Design**

**Unit Assessment**

Assessment tasks will be drawn from:

- assignments
- tests
- solutions to sets of worked questions
- summary or review notes
- modelling tasks
- problem solving tasks
- mathematical investigations

**Pathways**

Mathematical Methods Units 1 & 2 allows students to study Mathematical Methods Units 3 & 4 and General Mathematics Units 3 & 4. Other subjects that complement Mathematical Methods are: Specialist Mathematics, Chemistry, Physics, Algorithmics.

**View Maths Career Bullseye**

# Specialist Mathematics

Unit 1+2

#### Specialist Mathematics Units 1 & 2

Specialist Mathematics Units 1 & 2 is a course of study for students who wish to undertake an in-depth study of mathematics, with an emphasis on concepts, skills and processes related to mathematical structure, modelling, problem-solving, reasoning and proof. It is a pre-requisite for study of Specialist Mathematics Units 3 & 4.

#### Overview

On completion of these units the student should be able to:

- Define and explain key concepts as specified in the areas of study and apply a range of related mathematical routines and procedures
- Apply mathematical processes in non-routine contexts and analyse and discuss these applications of mathematics
- Use a CAS calculator to produce results and carry out analysis in situations requiring problem solving, modelling or investigative techniques or approaches

**Unit Prerequisites**

Specialist Mathematics may only be taken in conjunction with Mathematical Methods Units 1 & 2.

It is strongly advised that students who are thinking of choosing Specialist Mathematics Units 3 & 4 complete the sequence of Specialist Units 1 & 2 or, at least, Unit 2 Specialist Mathematics.

**Areas of Study**

- Algebra, structure and number
- Discrete mathematics
- Data analysis, probability and statistics
- Space and measurement
- Functions, relations and graphs

**Download > VCE Mathematics Study Design**

**Unit Assessment**

Assessment tasks will be drawn from

- assignments
- tests
- solutions to sets of worked questions
- summary or review notes
- modelling tasks
- problem solving tasks
- mathematical investigations

**Pathways**

Specialist Mathematics Units 1 & 2 provides a comprehensive background for Mathematical Methods Units 3 & 4 and Specialist Mathematics Units 3 & 4. These subjects are strongly recommended for students hoping to enter the areas of Science Engineering, Applied Mathematics or Statistics.

**View Maths Career Bullseye**

# General Mathematics

Unit 3+4

#### General Mathematics Units 3 & 4

This area of study was previously known as Further Mathematics Units 3 & 4.

General Mathematics Units 3 and 4 focus on real-life application of mathematics.

#### Overview

On completion of these units the student should be able to:

- Define and explain key concepts as specified in the areas of study and use this knowledge to apply a range of related mathematical techniques and models in routine contexts
- Select and apply mathematical concepts, models and techniques in a range of contexts of increasing complexity
- Use a CAS calculator to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

**Unit Prerequisites**

This subject may be selected by students who have undertaken either General Mathematics 1 & 2 and or Mathematical Methods 1 & 2.

Highly able students who successfully undertake Mathematics A in Year 10 may apply to accelerate into General Mathematics Units 3 & 4 in Year 11. If acceleration is approved, the student must also select Maths Methods Units 1 & 2.

**Areas of Study**

All areas of study in General Mathematics are prescribed and compulsory.

- Data analysis
- Recursion and financial modelling
- Matrices
- Graphs and networks

**Download > VCE Mathematics Study Design**

**Unit Assessment**

School assessed coursework contributes 40% to the study score

- Unit 3 consists of an Application task of 4–6 hours’ duration over a period of 1–2 week and a problem solving or modelling task of 2–3 hours’ duration over a period of 1 week.
- Unit 4 consists of two problem solving or modelling tasks of 2–3 hours’ duration over a period of 1 week.

Units 3 and 4 are also assessed by two end of year examinations which contribute 60% to the study score.

- Exam 1 will contribute 30% to the study score.
- Exam 2 will contribute 30% to the study score.

**View Maths Career Bullseye**

# Mathematical Methods

Unit 3+4

#### Mathematical Methods Units 3 & 4

Mathematical Methods provide background for further study in areas such as: science, technology, engineering and mathematics (STEM), humanities, economics and medicine.

#### Overview

On completion of these units the student should be able to:

- Define and explain key concepts as specified in the areas of study and use this knowledge to apply a range of related mathematical techniques and models in routine contexts
- Select and apply mathematical concepts, models and techniques in a range of contexts of increasing complexity
- Use a CAS calculator to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

**Unit Prerequisites**

Students undertaking Unit 3 and 4 of Mathematical Methods are expected to have confidence in their abilities and a strong understanding of Unit 1 & 2 Mathematical Methods.

**Areas of Study**

- Functions, relations and graphs
- Algebra, number and structure
- Calculus
- Data analysis, probability and statistics

**Download > VCE Mathematics Study Design**

**Assessment**

School assessed coursework contributes 40% to the study score.

- Unit 3 consists of an application task of 4–6 hours’ duration over a period of 1–2 weeks.
- Unit 4 consists of two problem solving or modelling tasks of 2–3 hours’ duration over a period of 1 week.

Units 3 and 4 are also assessed by two end of year examinations which contribute 60% to the study score.

- Exam 1 will contribute 20% to the study score
- Exam 2 will contribute 40% to the study score

**Pathways**

Other subjects that are often seen to complement Mathematical Methods are: Specialist Mathematics, Physics, Chemistry.

**View Maths Career Bullseye**

# Specialist Mathematics

Unit 3+4

**Specialist Mathematics ** Units 3 & 4

Specialist Mathematics provides for the study of various mathematical structures, reasoning and proof. The areas of study in Units 3 and 4 extend content from Mathematical Methods Units 3 and 4.

#### Overview

On completion of these units the student should be able to:

- Define and explain key concepts as specified in the areas of study and apply a range of related mathematical routines and procedures
- Apply mathematical processes in non-routine contexts and analyse and discuss these applications of mathematics
- Use a CAS calculator to produce results and carry out analysis in situations requiring problem solving, modelling or investigative techniques or approaches

**Unit Prerequisites**

Study of Specialist Mathematics Units 3 and 4 requires concurrent study or previous completion of Mathematical Methods Units 3 and 4.

It is strongly advised that students who are thinking of choosing Specialist Mathematics Units 3 & 4 complete the sequence of Specialist Units 1 & 2.

**Areas of Study**

- Discrete mathematics
- Functions, relations and graphs
- Algebra, number and structure
- Calculus
- Space and measurement
- Data analysis, probability and statistics

**Download > VCE Mathematics Study Design**

**Assessment**

School assessed coursework contributes 40% to the study score.

- Unit 3 consists of an application task of 4–6 hours’ duration over a period of 1–2 weeks.
- Unit 4 consists of two problem solving or modelling tasks of 2–3 hours’ duration over a period of 1 week.

Units 3 and 4 are also assessed by two end of year examinations which contribute 60% to the study score.

- Exam 1 will contribute 20% to the study score
- Exam 2 will contribute 40% to the study score

**Pathways**

Other subjects that are often seen to complement Specialist Mathematics are: Mathematical Methods, Physics, Chemistry.