These are ATARMAxxing’s course-guide summaries. Review all required areas, including school assessments, practical work, performances or folios where applicable. Follow your course’s option rules.
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Unit 3 — Bivariate data analysis
Investigate associations using appropriately percentaged two-way tables, scatterplots, correlation and least-squares models. Identify explanatory and response variables, interpret slope and intercept in context, and connect the coefficient of determination to explained variation.
Unit 3 — Growth and decay in sequences
Generate arithmetic and geometric sequences recursively and represent their terms in tables and graphs. Deduce nth-term rules from patterns and use first-order linear recurrence relations to model discrete growth, decay and steady-state behaviour.
Unit 3 — Graphs and networks
Represent connected systems with vertices, edges and appropriate matrices. Analyse degree, connectivity, walks, trails, paths, circuits and cycles, including Eulerian and Hamiltonian features and planar graphs.
Unit 4 — Time series analysis
Identify the components of a time series, smooth data with moving averages and centre even-period averages. Use the average percentage method for seasonal indices, deseasonalise observations and make contextual forecasts.
Unit 4 — Loans, investments and annuities
Model compound interest, depreciation, reducing-balance loans and annuities with recurrence relations. Use numerical tables, graphs and financial technology to compare rates, payments, balances and durations, including perpetuities.
Unit 4 — Networks and decision mathematics
Solve small shortest-path and flow problems, find minimum spanning trees, schedule projects through critical-path analysis and optimise one-to-one assignments. Relate every mathematical result to the constraints represented by the network.
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Mathematics Applications ATAR Year 12 syllabus — effective January 2025
Personal preparation priorities, not predicted exam questions, probabilities or grades.
Check current requirements and course options: https://senior-secondary.scsa.wa.edu.au/syllabus-and-support-materials/mathematics/mathematics-applications