Students can study the following mathematics subjects in Year 11 and Year 12, from the preliminary year to the HSC:

- Mathematics Standard
- Mathematics Advanced
- Mathematics Extension 1
- Mathematics Extension 2 - Year 12
- Mathematics Life Skills

### Mathematics Standard

### What students learn

- practical applications of mathematics to everyday situations
- use technology where appropriate to communicate concisely and precisely
- problem solving involving real life situations.

### Task requirements

- written tests
- assignments
- oral/written reports
- work samples
- practical investigations or projects
- written explanation of problem solutions
- practical tasks such as measurement.

### Successful completion requirements

- Stage 5.1 mathematics in year 10
- interest in mathematics and willingness to apply myself
- organisational skills
- self discipline
- working effectively in groups or independently
- strong graphing and tabulation skills.

### What students study - Year 11 (preliminary)

- Formulae and Equations
- Linear Relationships
- Applications of Measurement
- Working with Time
- Money Matters
- Data Analysis
- Relative Frequency and Probability

### What students study - Year 12 (HSC)

- Types of Relationships
- Non-right-angled Trigonometry
- Rates and Ratios
- Investments and Loans
- Annuities
- Bivariate Data Analysis
- The Normal Distribution
- Network Concepts
- Critical Path Analysis

### Special requirements of the course

- successful completion of Stage 5.1 Mathematics.

### School assessment

- knowledge and understanding (40%)
- skills (60%).

### HSC examination

A two and a half hour written examination paper. Board-approved calculators, geometrical instruments and approved geometrical templates may be used.

### Mathematics Advanced

### What students learn

- theory and practise
- various applications of mathematics to solve problems related to present and future needs
- develop ways of thinking in which problems are explored through observation, reflection and reasoning
- mathematical concepts for use in pathways that involve mathematical knowledge.

### Task requirements

- written examinations
- assignments
- oral presentations.

### Successful completion requirements

- Stage 5.3/5.2 mathematics in Year 10 (at least a Band 4, 5 or 6 in the School Certificate)
- organisational skills
- highly developed algebra skills
- self discipline
- working effectively in groups or independently
- strong graphing and tabulation skills.

### What students study - Year 11 (preliminary)

- Working with Functions
- Trigonometric and Measure of Angles
- Trigonometric Functions and Identities
- Introduction to Differentiation
- Logarithms and Exponentials
- Probability and Discrete Probability Distributions

### What students study - Year 12 (HSC)

- Graphing Techniques
- Trigonometric Functions and Graphs
- Differential Calculus
- The Second Derivative
- Integral Calculus
- Modelling Financial Situations
- Descriptive Statistics and Bivariate Data Analysis
- Random Variables

### Special requirements of the course

- Successful completion of stage 5.3/5.2 mathematics in Year 10
- For the HSC year, successful completion of preliminary course (Year 11).

### School assessment

- knowledge, understanding and skills (50%)
- reasoning, interpretative, explanatory and communicative abilities (50%).

### HSC examination

A three hour written examination paper. Board-approved calculators, geometrical instruments and approved geometrical templates may be used.

### Mathematics Extension 1

### What students learn

- theory and practice
- various applications of mathematics to model and solve problems
- develop rigorous mathematical arguments and proofs, and to use mathematical models extensively
- to use technology where appropriate
- note taking
- calculations
- group work

### Task requirements

- written examinations
- tests
- assignments
- oral presentations
- research assignments
- topic tests.

### Successful completion requirements

- at least a Band 5 or 6 in Stage 5.3 mathematics in the School Certificate
- interest in mathematics and willingness to apply myself
- organisational skills
- self discipline
- working effectively in groups or independently
- strong graphing and tabulation skills.

### What students study - Year 11 (preliminary)

- Further Work with Functions
- Polynomials
- Inverse Trigonometric Functions
- Further Trigonometric Identities
- Rates of Change
- Working with Combinatorics

### What students study - Year 12 (HSC)

- Proof by Mathematical Induction
- Introduction to Vectors
- Trigonometric Equations
- Further Calculus Skills
- Applications of Calculus
- The Binomial Distribution

### Special requirements of the course

- Successful completion of Stage 5.3 mathematics in Year 10.

### School assessment

- knowledge, understanding and skills (50%)
- reasoning, interpretative, explanatory and communicative abilities (50%).

### HSC examination

A two hour written examination paper. Board-approved calculators, geometrical instruments and approved geometrical templates may be used.

### Mathematics Extension 2 - Year 12

### What students learn

- higher levels of knowledge, understanding and skills in maths concepts
- develop strong mathematical manipulative skills and a deep understanding of the fundamental ideas to use technology where appropriate
- note taking
- calculations
- group work

### Task requirements

- written examinations
- tests
- assignments
- oral presentations
- research assignments

### Successful completion requirements

- at least a Band 5 or 6 in Stage 5.3 mathematics
- interest in mathematics and willingness to apply myself
- organisational skills
- self discipline
- working effectively in groups or independently
- strong graphing and tabulation skills.

### What students study

- The Nature of Proof
- Further Proof by Mathematical Induction
- Further Work with Vectors
- Introduction to Complex Numbers
- Using Complex Numbers
- Further Integration
- Applications of Calculus to Mechanics

### Special requirements of the course

- Successful completion of Stage 5.3 mathematics in Year 10.

### School assessment

- knowledge, understanding and skills (50%)
- reasoning, interpretative, explanatory and communicative abilities (50%).

### HSC examination

A three hour written examination paper. Board-approved calculators, geometrical instruments and approved geometrical templates may be used.

### Mathematics Life Skills

### What students learn

- Theory and practice of maths concepts
- Solve practical problems using learnt concepts
- Work cooperatively and in groups

### Task requirements

- written examinations
- tests
- assignments
- oral presentations
- research assignments

### What students study

- Review of Number Properties
- Mathematical Modelling
- Everyday Measurement
- Measuring Two-Dimensional and Three-Dimensional Shapes
- Decimals, Percentages and Money
- Earning Money
- Spending Money
- Statistics
- Probability
- Using Plans, Maps and Networks