Mathematics: Methods

Length of Course

Full Year

Level

Marian - Year 12

Category

Mathematics

Core or Elective

Elective

Pre-requisites

It is recommended that students wishing to undertake this course have achieved a B- grade or higher in Stage 1 Mathematical Methods.

Subject Description

Mathematical Methods develops an increasingly complex and 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. 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.

Content

Stage 2 Mathematical Methods consists of the following six topics:

  • Further differentiation and applications
  • Discrete random variables
  • Integral calculus
  • Logarithmic functions
  • Continuous random variables and the normal distribution
  • Sampling and confidence intervals
Assessment

School-based Assessment (70%)

  • Assessment Type 1: Skills and Applications Tasks (50%)
  • Assessment Type 2: Folio (20%)

External Assessment (30%)

  • Assessment Type 3: Examination (30%)

Students provide evidence of their learning through eight assessments, including the external assessment component.

Students undertake:

  • Six skills and applications tasks
  • One mathematical investigation
  • One trial examination
  • One external examination at the end of the year

Pathways for Mathematics

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Subject added

Marian - Year 12 - Mathematics: Methods