11–12Mathematics Standard 11–12 Syllabus (2024)
The new Mathematics Standard 11–12 Syllabus (2024) is to be implemented from 2026 and will replace the Mathematics Standard Stage 6 Syllabus (2017).
2026, Term 1
- Start teaching the new syllabus for Year 11
- Start implementing the 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 the new syllabus for Year 12
- Start implementing the new Year 12 school-based assessment requirements
2027
- First HSC examination for the 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 Loading and identify the Loading , 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 Loading to model and analyse the Loading where Loading and Loading are represented by linear equations
Identify the break-even point and solve problems involving Loading and Loading using a spreadsheet
Recognise that an Loading can be represented by an Loading , 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 Loading of an exponential graph in a variety of contexts
Explain the limitations of exponential models in practical contexts
Recognise that a Loading 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 Loading and Loading
- Graph a quadratic relationship of the form using graphing applications
- 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 Loading 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