SACE Stage 2 Specialist Mathematics cheat sheet

School assessment in SACE Stage 2 Specialist Mathematics typically comprises a skills and applications task (often 20%), a mathematical investigation (often 20%), and two tests (often 15% each), totalling 70% of the subject grade; confirm exact weightings with the school.

Assessment tasks must address the four proficiency strands: understanding, fluency, problem-solving, and reasoning; tasks should include opportunities for students to communicate mathematical reasoning.

A mathematical investigation requires students to explore a problem, formulate conjectures, and justify conclusions; the report should document the process, not just the final answer.

Skills and applications tasks are typically supervised and may be completed without notes or with a specified reference sheet; the school determines conditions and must ensure comparability.

When marking, use the school's performance standards: grades A–E are assigned against the SACE performance standards for Specialist Mathematics, not a simple percentage cut-off.

Moderation: school-assessed evidence is externally moderated; schools must retain evidence such as marked tasks and assessment plans for moderation purposes.

Group work may be used for investigations, but each student's contribution and understanding must be individually assessable and authenticated.

The assessment plan must be documented and provided to students; it should show the type, weighting, and timing of each task and the conditions under which each is completed.

The external assessment is typically a 3-hour written examination worth 30% of the subject grade; it assesses all four proficiency strands and may include questions on all topics in the subject outline.

The examination is set and marked by the SACE Board; students should consult the official subject outline and past examination papers for the exact format and permitted materials.

A formula sheet is provided with the examination; students should know which formulas are supplied and which must be recalled or derived.

Calculators: a approved calculator may be used; students should be familiar with its functions for calculus, vectors, complex numbers, and statistics, and should show sufficient working to gain method marks.

Examination questions often require multi-step reasoning; marks are awarded for correct method, clear communication, and appropriate justification, not only for the final answer.

Topics examined include mathematical induction, complex numbers, vectors, calculus (including differential equations and applications), and statistical inference; the weighting of topics is not necessarily equal.

When a question asks to 'hence' or 'hence or otherwise', a solution using the previous part is expected for full marks; 'otherwise' permits an independent method.

Answers should include appropriate units, exact values where possible, and clear diagrams for vector and complex-number problems; unsupported answers may lose communication marks.