## Further Maths

Further Maths (3 & 4)

# Course Summary

Are you looking for a Maths at Unit 3 & 4 level that can be applied generally to everyday life? Do you want a Maths with strong links to a real-world application? Further Maths can prepare you for further study and employment. It builds on concepts covered in General Mathematics. Core topics covered include ‘Data Analysis’ and ‘Recursion and Financial Modelling’. Students will study another two models which are selected by the College. They could include one of the following ‘Matrices’, ‘Networks and Decision Mathematics’, ‘Geometry and Measurement’ and ‘Graphs and Relations’.

VCE: Unit 3 & 4 sequence available

# Learning Activities & Assessment

• Use discrete mathematics to solve problems in financial modelling, network analysis, route & project planning, decision making, and growth and decay
• Learn how to analyse and solve a wide range of geometrical problems in measurement, scaling, triangulation and navigation
• Develop systematic relationships based on a statistical investigation process

## Approximate Costs

### Unit 3 & 4

Textbook Hire \$44

Scientific Calculator \$28 (If not previously purchased)

Checkpoints \$35 (Optional Purchase)

Stephen Alderton

## Mathematical Methods

Mathematical Methods

# Course Summary

Do you require a higher level of Maths for university study? Are you able to work with difficult interconnected mathematical topics independently? Topic covered in Maths Methods includes ‘Functions & Relations, ‘Exponential & Logarithms’, ‘Circular Functions’ ‘Differentiation’, ‘Integration & Antidifferentiation’, ‘Probability’, and ‘Statistical Inference & Hypothesis testing’. You will use content that will allow you to develop complex and sophisticated problem-solving skills and mathematical processes.

VCE: Unit 1, Unit 2 and Unit 3 & 4 sequence available

# Learning Activities & Assessment

• Further develop an understanding of functions, algebra, calculus and statistical analysis
• Explore probably statistics
• Develop the ability to describe and analyse phenomena involving uncertainty and variation
• Investigate the role mathematics plays in understanding the physical world e.g. rates of change

## Approximate Costs

### Unit 1 & 2

Textbook Hire \$30 (Optional Purchase)

### Unit 3 & 4

Textbook Hire \$44

USB \$8

Checkpoints \$35

Stephen Alderton

Specialist Maths

# Course Summary

Have you got a high level of mathematical competence? Looking at studying science or engineering at University? Specialist Maths is really interesting and has a lot of real-world application. You will complete independent modules with some interconnected themes. Topics covered include advanced functions, Statistics and Probability, Complex Numbers, Kinematics, Vectors, Mechanics Differential and Integral Calculus.

VCE: Unit 1, Unit 2 and Unit 3 & 4 sequence available

# Learning Activities & Assessment

• Develop rigorous mathematical arguments and proofs and use mathematical models more extensively
• Further improve in-depth mathematical skills and knowledge in preparation for complex university studies
• Demonstrate the application of topics such as functions and calculus
• Extend the understanding and knowledge of probability and statistics
• Explore topics such as vectors, complex numbers and matrices

## Approximate Costs

### Unit 1 & 2

Textbook Hire \$30

USB \$8

### Unit 3 & 4

Textbook Hire \$44

USB \$8

Checkpoints \$35 (Optional Purchase)

Stephen Alderton

## Foundation Maths

Foundation Maths (1 & 2)

# Course Summary

Do you need basic mathematical skills? Are you just looking at studying Maths in Unit 1 & 2? Foundation Mathematics has a strong emphasis on the use of mathematics in practical contexts encountered in everyday life in the community, at work and study. You will cover topics such as ‘Space, shape and design’, ‘Patterns and number’, ‘Data’ and ‘Measurement’. These topics will be applied in the context of students’ other studies, work and personal or other familiar situations.

VCE: Unit 1 and Unit 2 available

# Learning Activities & Assessment

• Develop mathematical knowledge, skills and understanding to solve problems in real contexts such as the workplace, personal, further learning and in the community
• Explore geometry measurement, basic numeracy skills, location and personal math’s
• Prepare mathematically for employment and further training

## Approximate Costs

### Unit 1 & 2

Scientific Calculator \$28

Stephen Alderton

## General Maths

General Maths (1 & 2)

# Course Summary

Do you require intermediate to advanced level of Maths to pursue your career? Want to study Further Maths in Unit 3 & 4. General Mathematics has a strong emphasis on logical thought, formulating problems to allow you to compute and decide, deducting from assumption and applying advanced concepts. Topics covered in General Mathematics are ‘Algebra and Structure’, ‘Arithmetic and Number’, ‘Discrete Mathematics’, ‘Geometry, Measurement and Trigonometry’, ‘Graphs of Linear and Non-Linear Relations’ and ‘Statistics’.

VCE: Unit 1 and Unit 2 available

# Learning Activities & Assessment

• Use discrete mathematics to solve problems in financial modelling, network analysis, route & project planning, decision making, and growth and decay
• Learn how to analyse and solve a wide range of geometrical problems in measurement, scaling, triangulation and navigation
• Develop systematic relationships based on a statistical investigation process

## Approximate Costs

### Unit 1 & 2

Textbook Hire \$30

Scientific Calculator \$28

Stephen Alderton

## Standard Maths (Year 10)

Standard Maths (Year 10)

# Course Summary

Standard Maths will further develop students’ skills in mathematical understanding, fluency, problem-solving and reasoning at an appropriate level.

Students will explore elements of Number and Algebra, Trigonometry and Probability. Students are encouraged to develop their independent learning skills to enable them to work at their point of need.

Standard Maths will also focus on improving the numeracy of students to enable them to be better equipped to face mathematical challenges in the future. Students’ numeracy will be measured at the beginning and end of the semester in the key areas of fraction and decimals, and number and place value.

# Learning Activities & Assessment

• Essential Assessment will be used throughout the semester to measure student’s growth
• Students will be assessed on an end of semester exam with topic assessments and assignments spread throughout the semester

## Approximate Costs

### Semester 1

Scientific Calculator \$28 (Optional)

Stephen Alderton

# Course Summary

Do you enjoy Maths? Are you looking at studying Maths Methods or Specialist Maths? Advanced Maths replaces the Standard Maths (Year 10). This subject gives you a strong foundation and a broader perspective for future mathematical studies and pathways. The subject is aimed to equip you with tackling rigorous mathematical problems and applying mathematical concepts across areas including linear algebra, quadratics, trigonometry and statistics. Students will also begin to develop their ability to use the Mathematica software. All students who select Advanced Mathematics will need to undertake an assessment of their prior learning.

# Learning Activities & Assessment

• Rigorous exploration of key mathematical concepts and application of key skills
• Apply mathematical concepts through the completion of problem-solving tasks
• Use of technology to explore and solve mathematical problems
• Essential Assessment will be used throughout the semester to measure student’s growth
• Students will be assessed on an end of semester exam with topic assessments and assignments spread throughout the semester

## Approximate Costs

### Semester 1

Textbook Hire \$30

Scientific Calculator \$28 (Optional)