Mathematical Methods


Mathematical Methods develops an increasingly complex and sophisticated understanding of calculus, statistics, mathematical arguments, and proofs, and using mathematical models.

About the subject

Through the use of functions, 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.

Mathematics at Stage 1 builds on the mathematical knowledge, understanding, and skills that students have developed in Number and Algebra, Measurement and Geometry, and Statistics and Probability during Year 10.

Stage 1 Mathematics is organised into topics that broaden students’ mathematical experience, and provide a variety of contexts for incorporating mathematical arguments and problem-solving. The topics provide a blending of algebraic and geometric thinking. In this subject there is a progression of content, applications, and level of sophistication and abstraction.

This course consists of the following topics:

  • Topic 1: Functions and Graphs
  • Topic 2: Polynomials
  • Topic 3: Trigonometry
  • Topic 4: Counting and Statistics
  • Topic 5: Growth and Decay
  • Topic 6: Introduction to Differential Calculus
  • Topic 7: Further Trigonometry


Assessment at Stage 1 is school based. The following assessment types enable students to demonstrate their learning in Stage 1 Mathematics:

  • Assessment Type 1: Skills and Applications Tasks
  • Assessment Type 2: Mathematical Investigation.

There is also a formative examination which will be used to place students in the appropriate course/s in the next semester.

Students who achieve a C grade or better in this subject meet the NTCET compulsory 10-credit numeracy requirement.

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Mathematical Methods
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