11–12Mathematics Standard 11–12 Syllabus
The new Mathematics Standard 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 Standard 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 – Standard 2
- 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
- MST-12-S2-09
models and solves problems involving the probabilities of multistage events
Recognise that probabilities range from 0 (impossible) to 1 (certain) and can be represented as fractions, decimals and percentages
Identify and define the sample space as the set of all possible outcomes of a chance experiment
Determine the number of outcomes for an experiment
- Express the probability of an event that has a finite number of equally likely outcomes, as
- Apply to calculate the probability of the complement of an event
Construct and use arrays, tree diagrams and probability trees to determine the outcomes and probabilities for multistage events
- Determine the probabilities of outcomes for multistage events using
Use relative frequency as an estimate of probability
Recognise that increasing the number of trials produces relative frequencies that become closer in value to the theoretical probability
- Calculate the expected frequency of an event occurring using where is the number of times an experiment is repeated, and is the probability that the event occurs on each of those times
Construct and interpret Venn diagrams and two-way tables from given information, limited to combinations of two attributes, and use them to solve problems in a variety of contexts
Examine the use of statistics and the associated probabilities in shaping decisions made by the media, governments and companies