How Stage 5 is organised
Core groups include Number and finance, Algebra and equations, Ratios and rates, Linear and non-linear relationships, Pythagoras and trigonometry, Length, area and volume, Geometrical properties and figures, Data classification, visualisation and analysis, and Probability. Paths extend into further algebra, functions and graphs, further trigonometry, proof, networks, statistical enquiry and further probability.
Working mathematically — communicating, reasoning, understanding and fluency, and problem solving — is embedded across these groups.
Stage 5 mapping
| Australian code | Canonical SkillrHub lesson | NSW Stage 5 alignment |
|---|---|---|
| AC9M10N01 | Exact Values, Approximation and Rounding Error | Stage 5 Core Number and finance / Working mathematically; accuracy is also used across measurement contexts |
| AC9M10A01 | Expressions, Factorisation and Exponent Laws | Stage 5 Core Algebra and equations; Path Further algebra and equations |
| AC9M10A02 | Linear Inequalities and Simultaneous Equations | Stage 5 Core Algebra and equations / Linear and non-linear relationships |
| AC9M10A03 | Exponential Relations, Graphs and Equations | Stage 5 Core Linear and non-linear relationships; Path Functions and graphs |
| AC9M10A04 | Growth, Decay and Financial Modelling | Stage 5 Number and finance with Path Variation and rates of change / Functions and graphs |
| AC9M10A05 | Functions, Relations and Digital Conjectures | Stage 5 Path — Functions and graphs; Working mathematically |
| AC9M10M01 | Composite Surface Area and Volume | Stage 5 Core — Length, area and volume; Path — Further area and volume |
| AC9M10M02 | Logarithmic Scales and Orders of Magnitude | Stage 5 supporting links across Number and finance and Path — Functions and graphs; no forced one-to-one logarithmic-scale outcome |
| AC9M10M03 | Right-Triangle Trigonometry, Bearings and Elevation | Stage 5 Core — Pythagoras and trigonometry; Path — Further trigonometry |
| AC9M10M04 | Measurement Error and Accuracy | Stage 5 measurement and space applications with Working mathematically; accuracy is embedded rather than treated as a direct standalone equivalent |
| AC9M10M05 | Proportion, Scale and Mathematical Modelling | Stage 5 Core — Ratios and rates; Path — Variation and rates of change |
| AC9M10SP01 | Deductive Geometry and Proof | Stage 5 Core — Geometrical properties and figures; Path — Geometrical figures and proof |
| AC9M10SP02 | Networks, Paths and Connectedness | Stage 5 Path — Introduction to networks |
| AC9M10SP03 | Spatial Algorithms and Digital Design | Stage 5 Paths — Geometrical figures and proof / Introduction to networks, with Working mathematically; no forced one-to-one spatial-algorithm outcome |
| AC9M10ST01 | Statistical Claims, Bias and Media Reports | Stage 5 Core — Data classification, visualisation and analysis; Path — Data analysis and statistical enquiry |
| AC9M10ST02 | Boxplots and Continuous Data Distributions | Stage 5 Core — Data classification, visualisation and analysis; Path — Data analysis and statistical enquiry |
| AC9M10ST03 | Scatterplots and Bivariate Association | Stage 5 Core — Data classification, visualisation and analysis; Path — Data analysis and statistical enquiry |
| AC9M10ST04 | Two-Way Tables and Categorical Relationships | Stage 5 Core — Data classification, visualisation and analysis; Path — Data analysis and statistical enquiry |
| AC9M10ST05 | Bivariate Statistical Investigations | Stage 5 Path — Data analysis and statistical enquiry, supported by Core data analysis |
| AC9M10P01 | Conditional Probability Language | Stage 5 Core — Probability; Path — Further probability |
| AC9M10P02 | Conditional Probability Simulations | Stage 5 Core — Probability; Path — Further probability |