SACE Stage 2 Specialist Mathematics study plan

Map every School Assessment task type against the SACE Stage 2 Specialist Mathematics assessment criteria and rewrite each criterion in your own words

Derive and memorise the standard results for complex arithmetic, polar form, and De Moivre's theorem, then prove each from first principles

Solve 20 mixed complex-number problems under timed conditions and log every error with its cause

Build a one-page formula and theorem summary sheet for complex numbers

Derive the derivative rules for inverse trigonometric and inverse hyperbolic functions and apply them to 15 composite-function problems

Set up and solve related-rates and optimisation problems drawn from physical contexts, stating assumptions explicitly

Practise integration by parts, partial fractions, and trigonometric substitution until each is fluent without notes

Write full solutions to 5 extended-response calculus tasks in examination style, showing every reasoning step

Derive and apply the equations of motion for projectiles and circular motion, resolving forces in two dimensions

Solve 15 mechanics problems involving friction, inclined planes, and connected bodies

Construct free-body diagrams for every problem you attempt and check each against Newton's second law

Explain in writing how modelling assumptions limit the validity of a mechanics solution

Complete a full-length practice examination under timed conditions and mark it against the external assessment weighting

Classify every lost mark by topic and by error type to identify your three weakest areas

Re-derive the vector and three-dimensional geometry results you used incorrectly in the practice paper

Draft a targeted revision list that prioritises the weakest areas for weeks 5 to 7

Solve 20 vector problems covering dot and cross products, lines and planes, and intersections in three dimensions

Prove the standard vector identities and apply them to geometric configurations

Practise translating word problems into vector models and interpret each result geometrically

Reduce solution time on routine vector calculations by rehearsing them in short daily drills

Derive and apply the binomial, exponential, and related probability distributions to 15 contextual problems

Compute means and variances from first principles and verify each result by simulation reasoning

Solve 10 problems on sampling, confidence intervals, and hypothesis testing, stating conclusions in context

Write concise justifications for every statistical assumption you invoke

Complete two full-length practice examinations under strict timing and compare performance trends

Rehearse the highest-yield proof techniques and multi-step modelling routines until they are automatic

Redo every item from your error log and confirm each is now correct without prompts

Practise allocating time across short-answer and extended-response sections

Consolidate all summary sheets into a single final reference and verify every entry

Complete one final timed examination and review it within 48 hours

Rehearse the timing and reading strategy for each question type

Confirm logistics for both school and external assessment tasks