Mathematics - Mathematical Methods

Full Year

In Stage 2 Mathematical Methods, students continue to develop and extend their understanding of mathematical skills and techniques that enable them to explore, describe, and explain aspects of the world around them in a mathematical way. It places mathematics in relevant contexts and deals with relevant phenomena from the students’ common experiences, as well as from scientific, professional, and social contexts. Students develop sophisticated understanding of calculus and statistics. By using functions and their derivatives and integrals, and by mathematically modelling physical processes, students develop a deep understanding of the physical world through a sound knowledge of relationships involving rates of change. Students use statistics to describe and analyse phenomena that involve uncertainty and variation.

A Graphics Calculator (ideally CASIO fx-CG50 AU) is required. These are available for purchase from a local retailer, or a lesser but compatible model can be loaned through the school.


20 credits of Stage 1 Mathematical Methods at a C grade or better. A solid understanding of Stage 1 Mathematical Methods content is vital.


Stage 2 Mathematical Methods is a 20-credit subject. The topics at Stage 2 are:

  • Topic 1: Further Differentiation and Applications
  • Topic 2: Discrete Random Variables
  • Topic 3: Integral Calculus
  • Topic 4: Logarithmic Functions
  • Topic 5: Continuous Random Variables
  • Topic 6: Sampling and Confidence Intervals

Students study all six topics. The topics can be sequenced and structured to suit individual groups of students.


Most assessment at Stage 2 is school based, but moderated by the SACE Board. The external exam is assessed externally.

Students complete one mathematical investigation and six skills and applications tasks.

Students undertake an online examination to assess mathematical understanding from all Stage 2 Mathematical Methods topics studied. The examination requires students to demonstrate knowledge, routine skills and applications, analysis and interpretation. Students provide explanations and arguments, and use correct mathematical notation, terminology, and representations throughout the examination.

The weightings for the 8 assessment tasks is:

  • Investigations Folio (mathematical investigation) 20%
  • Skill and Applications Tasks 50%
  • External Examination 30%


Successful completion of Mathematical Methods at Stage 2 prepares students for entry to tertiary courses requiring a specialised background in mathematics or a prerequisite for enrolment.

Mathematical Methods provides the foundation for further study in mathematics, economics, computer sciences, and the sciences. It prepares students for courses and careers that may involve the use of statistics, such as health or social sciences.

When studied together with Specialist Mathematics, this subject can be a pathway to engineering, physical science, and laser physics