Specialist Mathematics is specifically designed for students who wish to undertake an in-depth study of mathematics, with an emphasis on concepts, skills and processes related to mathematical structure, modelling, problem solving and reasoning.

Mathematical Methods Units 1 and 2 and Specialist Mathematics Units 1 and 2, taken in conjunction, provide a comprehensive preparation for Specialist Mathematics Units 3 and 4.


Students must have studied Year 10 Mathematical Methods Semester 2 prior to beginning Unit 1.

Students will use the CAS (Computer Algebra Systems) calculator as a learning tool to enhance their understanding of the above concepts.

This subject is designed to provide access to worthwhile and challenging mathematical learning in a way that takes into account the needs and aspirations of a wide range of students. It is also designed to promote students’ awareness of the importance of mathematics in everyday life in a technological society, and confidence in making effective use of mathematical concepts, processes and skills in practical and theoretical contexts.


In particular, this study has a focus on interest in the discipline of mathematics in its own right and investigation of a broad range of applications, as well as development of a sound background for further studies in mathematics and mathematics related fields.


Students will engage in the following mathematical activities within the areas of study:

  • Apply knowledge and skills: Learning and practising mathematical algorithms, routines and techniques, and using them to find solutions to standard problems.
  • Model, investigate and solve problems: The application of mathematical knowledge and skills in situations that range from well-defined and familiar to open-ended and unfamiliar, including situations that require investigative, modelling or problem solving approaches.
  • Use technology: The effective and appropriate use of technology to produce results, which support learning mathematics and its application in different contexts.


Main Assessment Tasks: Tasks will include components to be completed with and without the use of technology

  • Skills based tasks (for example, tests)
  • Modelling, problem-solving and mathematical investigations
  • End of Unit Examination

Students will develop knowledge based around the following areas of study:

Variation – How long will it take to stop if I travel at 80km/hr?


Number systems and recursion – Is this Complex or Real?


Applications of Trigonometry – Where am I and how far am I in relation to base camp?


Graphs of non-linear relations – Will my satellite miss the focal asteroid?


Geometry in the plane and proof – Is a circle as simple as it looks?


Simulation, sampling and sampling distributions – How many red smarties are in the box?


Vectors – How must I sail my Yacht to overcome the current?


Kinematics – How could that last train crash have been avoided?




  • Text book – see the booklist for the correct title and edition
  • CAS calculator – TI-nspire CX CAS
  • Folder or exercise books
  • Digital device
  • Ruler


  • Unit 1 and 2 Specialist Mathematics is a precursor for Specialist Mathematics Units 3 and 4 and must be studied in conjunction with Unit 1 and 2 Mathematical Methods.


Possible pathway could lead into -

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