Year 12: VCE Mathematical Methods

Listed Mathematics areas of study at Units 3 and 4, in the words of the Victorian Curriculum and Assessment Authority (VCAA), with the practice on this site that covers it. Checked against the source on 4 September 2026.

Sourced from the VCE Mathematics Study Design accredited from 2023.

4areas of study
116skills mapped
100%have practice

Coverage is the percentage of listed areas of study with at least one linked practice skill; it does not measure how fully every part of an entry is practised. A skill can practise more than one areas of study, so some appear more than once below.

Functions, relations and graphs

AoS 1Functions, relations and graphsIn this area of study students cover transformations of the plane and the behaviour of some elementary functions of a single real variable, including key features of their graphs such as axis intercepts, stationary points, points of inflection, domain (including maximal, implied or natural domain), co-domain and range, asymptotic behaviour and symmetry. The behaviour of functions and their graphs is to be explored in a variety of modelling contexts and theoretical investigations.

Algebra, number and structure

AoS 2Algebra, number and structureIn this area of study students cover the algebra of functions, including composition of functions, inverse functions and the solution of equations. They also study the identification of appropriate solution processes for solving equations, and systems of simultaneous equations, presented in various forms. Students also cover recognition of equations and systems of equations that are solvable using inverse operations or factorisation, and the use of graphical and numerical approaches for problems involving equations where exact value solutions are not required, or which are not solvable by other methods. This content is to be incorporated as applicable to the other areas of study.

Calculus

AoS 3CalculusIn this area of study students cover graphical treatment of limits, continuity and differentiability of functions of a single real variable, and differentiation, anti-differentiation and integration of these functions. This material is to be linked to applications in practical situations.

Data analysis, probability and statistics

AoS 4Data analysis, probability and statisticsIn this area of study students cover discrete and continuous random variables, their representation using tables, probability functions (specified by rule and defining parameters as appropriate); the calculation and interpretation of central measures and measures of spread; and statistical inference for sample proportions. The focus is on understanding the notion of a random variable, related parameters, properties and application and interpretation in context for a given probability distribution.

Other Year 12 skills

Year 12 skills not currently linked to an entry on this page. These may include revision, extension practice, or skills still awaiting a curriculum mapping.