# Mathematics, Term 1 Weeks 1–2 — coordinates to linear models

**Version:** v0.1, 29 September 2026. **Status:** Year 9 educator, accessibility and local-syllabus review pending. Open the [ten 25-minute lessons](lessons.md), [clean learner cards](learner-packet.md), [teacher context notes and keys](aids.md), [A4 coordinate grid](coordinate-grid.svg) ([PNG](coordinate-grid.png)), [A4 line-comparison plot](line-comparison.svg) ([PNG](line-comparison.png)) and [keyed assessment](assessment.md). Print the learner cards for students; keep the worked keys with the teacher.

**Prepare:** Print equal-scale axes; use a ruler or accessible graph tool with axes and units announced. Check prerequisite signed coordinates, ordered pairs, ratio as rise/run and Pythagoras. A 5-minute precheck is embedded in Days 1 and 6; a learner who needs an earlier entry point may use marked steps or a calculator while still explaining the Year 9 relation. Do not teach a coordinate-space layout as an actual accessibility, construction or safety specification. Each context and price is invented. A learner may explain through tactile coordinates, enlarged grid, keyboard, sign/AAC, voice, drawing or directing an adult; record who supplied the mathematical step.

**National alignment:** AC9M9A03 asks learners to find gradient, midpoint and distance between two distinct Cartesian points. AC9M9A05 asks for mathematical modelling of applied change, including financial contexts, with formulation, interpretation and evaluation; our second week begins this cycle with **linear** models only. Neither code is fully demonstrated by one fortnight. These are exact Year 9 `content_description` records in the [ACARA Version 9.0 download](https://www.australiancurriculum.edu.au/downloads), retrieved 29 September 2026; workbook SHA-256 `db446882d2c00cf7c085a03e250e2442fda6c44011fc114680c46c1dc7a822c3`. Confirm local adoption.

**Rights:** Original teaching script, cards, plots and assessment © NeuroForgeIO Pty Ltd 2026, [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/), including commercial reuse with attribution. Credit “NeuroForgeIO Pty Ltd, *SubjectNest Year 9 Mathematics Weeks 1–2: coordinates to linear models*, v0.1 (2026), [source](https://github.com/neuroforge-io/neuroforge_business/tree/main/products/curriculum-studio/content/year-9/mathematics/term-1/weeks-01-02), CC BY 4.0; changes indicated.” ACARA material has [separate terms](https://www.australiancurriculum.edu.au/copyright-and-terms-of-use); no endorsement. No external image or font file is included; SVG uses generic system fonts and geometry. [File hashes](manifest.sha256).