11–12Mathematics Advanced 11–12 Syllabus
The new Mathematics Advanced 11–12 Syllabus (2024) is to be implemented from 2026.
2025
- Plan and prepare to teach the new syllabus
2026, Term 1
- Start teaching new syllabus for Year 11
- Start implementing new Year 11 school-based assessment requirements
- Continue to teach the Mathematics Advanced Stage 6 Syllabus (2017) for Year 12
2026, Term 4
- Start teaching new syllabus for Year 12
- Start implementing new Year 12 school-based assessment requirements
2027
- First HSC examination for new syllabus
Content
Year 12
- MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
- MAV-12-07
solves problems involving discrete probability distributions, continuous random variables and the normal distribution
Define a discrete random variable to be uniformly distributed if it has finitely many values, all with the same probability, and use it to model random phenomena with equally likely outcomes
Generate a probability distribution for a given discrete random variable and represent the probability distribution in graphical and tabular form
Solve problems involving probabilities, expectation and variance of discrete random variables
Estimate the probability that a continuous random variable falls in some interval using relative frequencies and histograms obtained from data
Apply the properties of a probability density function to solve problems and justify conclusions
Find the mode from a given probability density function
Use a cumulative distribution function to calculate the median and quartiles for a continuous random variable
Find the probability density function from a given cumulative distribution function
Identify the normal distribution as a continuous probability distribution that is used to model many naturally occurring phenomena
Identify the graph of the probability density function of a normal distribution, the normal curve, as an ‘ideal’ bell-shaped curve, symmetrical about its mean which is equal to its mode and median, and as having most values concentrated about the mean
Identify contexts that can be approximately modelled by a normal random variable
Apply the empirical rule to make judgements and solve problems involving probabilities of normally distributed data: that for normal distributions, approximately 68% of data lie within one standard deviation of the mean, approximately 95% within two standard deviations of the mean and approximately 99.7% within three standard deviations of the mean
Recognise features of the normal curve, and identify the global maximum and points of inflection
Solve problems involving finding the mean or standard deviation of a normal random variable given the probability of an event less or more extreme than a given outcome