Specialist Maths: Units 3 and 4
This is the course outline for the Specialist Mathematics Units 3 and 4…

Specialist Mathematics Units 3 and 4 extend your mathematical understanding through advanced topics across six key areas: Algebra, Number and Structure; Calculus; Data Analysis, Probability and Statistics; Discrete Mathematics; Functions, Relations and Graphs; and Space and Measurement.

These units emphasise mathematical structure, logical reasoning, proof, and applications in a variety of modelling contexts. Content is selected and organised to ensure a balanced and progressive development of knowledge and skills across both Unit 3 and Unit 4, with strong connections between topics.

To undertake these units, you are expected to have a solid grounding in Mathematical Methods Units 1 and 2, Specialist Mathematics Units 1 and 2, and either concurrent study or prior completion of Mathematical Methods Units 3 and 4. This assumed knowledge is drawn on throughout the course.

In Unit 3, your study will typically focus on Discrete Mathematics, Functions and Graphs, Algebra, Space and Measurement, and Calculus. Unit 4 then builds on this foundation with further content from Discrete Mathematics, Calculus, and Space and Measurement, along with the introduction of Data Analysis, Probability and Statistics.

You will use a broad range of mathematical techniques, including complex arithmetic, vector operations, algebraic manipulation, graphing, geometric constructions, differentiation, integration, and statistical inference. You are expected to work with and without technology, applying mental strategies and written methods for estimation and computation.

Throughout both units, you will integrate numerical, graphical, geometric, symbolic, and statistical tools to support learning, problem-solving, and assessment, using technology where appropriate to explore and communicate your mathematical reasoning.

• Completion of Specialist Mathematics Units 1 and 2 (Australia)
• Good work ethic and ability to ask questions when work isn't understood.
• Wish to conntinue Mathematics next year at Unit 3 and 4 level.
• High level of mathematical communication shown.

• Lessons taught in the way I teach my own students
• VCAA examples used (where possible) to show tips and tricks.
• Humour used alongside high quality teaching.
• Proven results from my own students and others using this resource.

To be awarded a satisfactory result for a unit, you must demonstrate achievement of the outcomes specified for that unit. Your teacher will use a variety of learning activities and assessment tasks to give you different opportunities to show your understanding of the key knowledge and skills.

The areas of study, along with the key knowledge and skills listed for each outcome, guide how your course is designed and how learning and assessment tasks are developed.

Your level of achievement in Units 3 and 4 will be determined by School-assessed Coursework and end-of-year examinations.

School-assessed Coursework for Unit 3 will contribute 20% to your final study score.

School-assessed Coursework for Unit 4 will contribute another 20% to your final study score.

Examination 1 includes short-answer and some extended-answer questions covering all areas of study related to Outcome 1. It assesses your understanding of mathematical concepts, your ability to carry out algorithms without the use of technology, and your skill in applying these concepts.

Examination 2 includes multiple-choice and extended-answer questions across all areas of study, with a focus on Outcome 2. This exam is designed to assess how well you understand and communicate mathematical ideas, and your ability to interpret, analyse and solve both routine and challenging problems.