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-12-06
applies calculus to graph functions and model and solve problems involving optimisation, rates of change and motion in a line
Define a point of inflection on a curve as a point where the concavity changes
Use the second derivative to classify a stationary point as a local maximum, local minimum or a horizontal point of inflection
Model optimisation problems in a variety of contexts by defining variables, noting domain restrictions if necessary, and establishing functions to represent the relationship between variables
Formulate conclusions to optimisation problems by evaluating solutions given the constraints of the domain
Describe and examine the graphs of practical situations where the rate of change of a quantity is proportional to the quantity
Solve problems relating to the motion of a particle moving in a straight line, using both differentiation and integration to connect the concepts of displacement, velocity and acceleration