Year 11 and 12

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.

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.

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.

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.

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