11–12Mathematics Extension 2 11–12 Syllabus
The new Mathematics Extension 2 11–12 Syllabus (2024) is to be implemented from 2026.
2025
- Plan and prepare to teach the new syllabus
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
- ME2-12-02
uses vectors to model lines and curves, solve problems, and prove results involving geometry and coordinate geometry
Determine when two lines in vector form are parallel in two dimensions and three dimensions
Determine whether a given point lies on a line in vector form
Determine using vector methods whether three points are collinear in two dimensions and three dimensions
Determine the point of intersection of two non-parallel lines expressed as vector equations in two dimensions
Define skew lines in three dimensions and apply vector methods to determine whether two lines in three dimensions are skew
Examine and identify curves given as vector equations in two dimensions and three dimensions using graphing applications
Identify the vector equation of a curve given its graph
Use the circle equations and sphere equations to solve problems
Determine the Cartesian equation of a curve in two dimensions given its vector equation and graph the curve, where the curve is within the scope of this syllabus
Define the medians, altitudes, perpendicular bisectors and angle bisectors of a triangle and recognise these definitions in vector proofs
Solve problems and prove geometric results in two dimensions and three dimensions using vectors