Step-by-step guides, worked examples, and frameworks for ATAR Methods and Specialist Mathematics. Built by a teacher, free for every student.
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Learn a repeatable 3-step system for tackling any vector geometric proof. Includes a fully worked parallelogram diagonal example with interactive diagrams.
Rate your confidence on each topic in the SAC 1 scope (functions, polynomials, exponentials, logs, circular functions). Get a focused 2-week study plan. Takes 5 minutes.
A full-length practice Application Task covering functions, transformations, exponentials, logarithms, and polynomials. Includes worked solutions and marking guide. 52 marks, 70 minutes.
A full-length practice test covering functions, linear, quadratic, cubic, power functions, and transformations. Includes worked solutions and a diagnostic that tells you exactly what to revise. 50 marks, 50 minutes.
Understanding the limit definition and building intuition before memorising rules. Step-by-step with graphical explanations.
A full-length practice Application Task covering complex algebra, complex geometry (Argand diagrams and loci), and rational functions. Includes worked solutions and a diagnostic that tells you exactly what to revise. 50 marks, 60 minutes.
A full-length practice Application Task covering arithmetic and geometric sequences and series, recurrence relations, and financial applications. Includes worked solutions and a diagnostic dashboard. 50 marks, 50 minutes.
Visualise complex number operations geometrically. Covers modulus, argument, multiplication as rotation, and De Moivre's theorem.
A decision flowchart for choosing the right integration method. Substitution, by parts, partial fractions, and trig identities mapped out clearly.
How to structure your week around practice, review, and deliberate improvement. A system that compounds, not just a timetable.
The base case, inductive step, and common pitfalls. Worked examples from divisibility to summation identities with exam-style formatting.
These guides cover the concepts. But if you want structured weekly practice, written feedback on your work, and a system designed to push your ATAR score higher, that's what Axiom is built for.
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