11–12Mathematics Standard 11–12 Syllabus
Implementation from 2026
Expand for detailed implementation advice
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
The normal distribution
- 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-S2-10
analyses normally distributed datasets using statistical processes
Related Life Skills content for Stage 6
Number
Data, statistics and probability
Mathematics project
The normal distribution
Normally distributed datasets
Recognise that a dataset that is normally distributed can be represented by a bell-shaped curve
Explain that the mean, median and mode are approximately equal for data arising from a random variable that is normally distributed
Calculating z-scores
- Describe the -score as the number of standard deviations that a value is above or below the mean
- Recognise that the set of -scores for data arising from a random variable that is normally distributed has a mean of 0 and standard deviation of 1
- Calculate the -score corresponding to a specific value in a dataset by applying the formula
, where is a specific value, is the mean and is the standard deviation - Use -scores to compare scores from different datasets and justify conclusions in the context of the problem
- Model and apply the empirical rule, where approximately 68% of data will have -scores between −1 and 1, approximately 95% of data will have -scores between −2 and 2, and approximately 99.7% of data will have -scores between −3 and 3
Probability using z-scores
- Calculate probabilities using -scores and the empirical rule
Represent probabilities by shading areas under the normal distribution curve
- Use -scores to identify probabilities of events less or more extreme than a given event and solve problems
- Use -scores to make judgements related to outcomes of a given event or sets of data
Related files