# What stays the same?

## Year 8 Mathematics · Term 1 · Weeks 5–6

When a quantity changes, which relationships stay the same? Try a paper mix, compare a rate and decide whether a calculation fits the question. Draw, use a table, write an equation or explain your thinking.

Paper and pencil are enough. Choose one of three routes after each short start; all three are not a completion requirement. Ten lessons of about 45 minutes move from ratios and rates to integers and positive rational numbers, then bring them together in a practical decision.

- [Learner starting page](LEARNER-ENTRY.md) and [teacher entry](TEACHER-ENTRY.md).
- [Ten starts and thirty routes](LESSONS.md), [twenty separate staff models](staff/WORKED-CONTEXTS.md).
- [Ten optional home invitations](HOME-INVITATIONS.md) and [ten supplements](SUPPLEMENTS.md).
- [Printable ordinary aids](print/ORDINARY-AIDS.md) and [complete ordinary text alternatives](print/generated/ordinary-alternatives.md).
- [First-response checks](assessment/FIRST-CHECKS.md); [staff collection and later conditions](staff/REVEAL-GUIDE.md); [separate keys and feedback](staff/KEYS.md).
- [Short adult notes](ADULT-NOTES.md), [full national wording](NATIONAL-WORDING.md), [partial crosswalk](CURRICULUM-CROSSWALK.md) and [source/rights notes](SOURCE-SCOPE.md).

Each printable PDF includes its activity and full accompanying notice pages. Keep those pages with the resource. The first-response and later-review materials are separate. A calculator or recording support can follow an agreed access plan; keep the learner's mathematical choices visible.

Original education/design materials © NeuroForgeIO Pty Ltd 2026, [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/). Curriculum, source commentary and font keep separate notices. These lessons are a partial sequence; no full-year or learner-outcome result is claimed.