11–12Mathematics Standard 11–12 Syllabus (2024)

Implementation from 2026

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Content

Year 11

Year 12 – Standard 1

Year 12 – Standard 2

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Teaching advice

Examples

Algebraic relationships

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

Related Life Skills content for Stage 6

Number

Mathematics project

Algebraic relationships

Simultaneous linear equations

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

Exponential relationships

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 $y = a^{x}$ and $y = a^{- x}$ , where $a > 0$ , with and without using graphing applications
Construct and analyse an exponential model of the form $y = k a^{x}$ and $y = k a^{- x}$ , where $a > 0$ and $k$ 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

Quadratic relationships

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 $y = a x^{2} + bx + c$ using graphing applications
Identify the $x$ -intercepts and $y$ -intercept of a parabola from a graph
Determine the axis of symmetry and vertex of a parabola using the midpoint of the $x$ -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 $x$ and $y$ for which the quadratic model is valid

Reciprocal relationships

Recognise that inverse variation is represented by a reciprocal relationship of the form $y = \frac{k}{x}$ , where $k$ is the constant of variation
Identify the Loading shape of a reciprocal graph
Graph a reciprocal relationship of the form $y = \frac{k}{x}$ , with and without using graphing applications
Construct a reciprocal model of the form $y = \frac{k}{x}$ to analyse inverse variation problems
Solve inverse variation problems graphically, or algebraically given the value of two of the variables in $y = \frac{k}{x}$
Explain the limitations of reciprocal models in practical inverse variation problems

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Life Skills