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-S2-01
represents the relationships between quantities algebraically and graphically to solve problems and make predictions in practical contexts
Graph two linear equations and identify the point of intersection, with and without using graphing applications
Solve a pair of simultaneous linear equations using graphical and algebraic methods
Develop a pair of simultaneous linear equations to model a practical situation
Solve practical problems that involve simultaneous linear equations
Use simultaneous equations to model and analyse the break-even point where cost and revenue are represented by linear equations
Identify the break-even point and solve problems involving profit and loss using a spreadsheet
Recognise that an exponential relationship can be represented by an equation, a table of values, a set of ordered pairs or a graph, and move flexibly between these representations
- Graph an exponential relationship of the form and , where , with and without using graphing applications
- Construct and analyse an exponential model of the form and , where and is a constant, to solve practical growth or decay problems
Interpret the meaning of the intercept of an exponential graph in a variety of contexts
Explain the limitations of exponential models in practical contexts
Recognise that a quadratic relationship can be represented by an equation, a table of values, a set of ordered pairs or a graph, and move flexibly between these representations
Recognise the parabolic shape of a quadratic relationship, noting its vertex and axis of symmetry
- Graph a quadratic relationship of the form using graphing applications
- Identify the -intercepts and -intercept of a parabola from a graph
- Determine the axis of symmetry and vertex of a parabola using the midpoint of the -intercepts shown on a graph
Analyse a given graph of a quadratic relationship and use it to solve practical problems
Interpret the meaning of the intercepts and vertex of a parabola in a variety of contexts
- Explain the limitations of a model of a quadratic relationship in a practical context and consider the values for and for which the quadratic model is valid
- Recognise that inverse variation is represented by a reciprocal relationship of the form , where is the constant of variation
Identify the hyperbolic shape of a reciprocal graph
- Graph a reciprocal relationship of the form , with and without using graphing applications
- Construct a reciprocal model of the form to analyse inverse variation problems
- Solve inverse variation problems graphically, or algebraically given the value of two of the variables in
Explain the limitations of reciprocal models in practical inverse variation problems