Mathematical Pathways


In this subject students gain the knowledge, skills, and understanding required to apply mathematics in different contexts, and to participate in a wide variety of problem-solving activities.

Course details

  • Note From 2017 this subject will be replaced by the subject titled Stage 2 Essential Mathematics

About the subject

The content may be negotiated with the students, and there may be a focus on different themes, topics, and/or contexts within any group. Topics may include:

  • Topic 1: Applied Geometry
  • Topic 2: Investment and Loans
  • Topic 3: Mathematics and Small Business
  • Topic 4: Matrices
  • Topic 5: Optimisation
  • Topic 6: Share Investments
  • Topic 7: Statistics and Working with Data.
  • teacher developed topics.

Each new topic will emphasise the use of electronic technology in the teaching, learning, and assessment.


Students demonstrate evidence of their learning through the following assessment types:

School-based AssessmentWeighting
Skills and Applications Tasks45%
External Assessment 

Students who complete this subject with a C grade or better will meet the numeracy requirement of the NTCET.

Information on the External Assessment

Students complete, under supervision

  • a series of connected questions set by their teacher
  • a report.

The total time for completion of the questions and the report for:

  • a 10-credit subject is 90 minutes.
  • a 20-credit subject is 180 minutes.

The investigation should enable students to demonstrate their use of problem-solving strategies as well as their knowledge, skills, and understanding. The exploration of patterns and structures, or changing parameters may provide an appropriate focus.

The report for an investigation should include:

  • an introduction that demonstrates an understanding of the features of the problem or the situation investigated
  • evidence that the student has followed instructions
  • mathematical calculations and results, and appropriate representations
  • a summary of results or findings and conclusions drawn.

Performance Standards

The Stage 2 Mathematics Pathways Subject Outline includes performance standards, which describe five levels of achievement that are reported with the grades A to E at the student’s completion of the subject.

The school-based assessments and the external assessment will be graded with reference to the performance standards.

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Mathematical Pathways
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