# Foundation / Prep mathematics · Term 4 Weeks 31–32

**Development draft · 29 September 2026.** Ten 25-minute lessons (Days 151–160) continue the [year map](../../../year-sequence.md): Week 31 revisits **0–20 representation, counted comparison and order**; Week 32 models **adding to and taking away from a collection** with large paper pieces. Start with [timed lessons](LESSONS.md), hand out the matching [clean learner card](LEARNER-CARDS.md), and use the [exact practice materials](MATERIALS.md). There are three switchable same-target routes per day and [two worked optional swaps per day](PRACTICE-SWAPS.md).

The [Day 155 and 160 fresh checks](STUDENT-CHECKS.md) and [teacher-targeted worked key](teacher/KEY-AND-NEXT.md) are both publicly accessible by URL. They are first-encounter **formative** prompts, not secure exams. Give a new local case if prior access matters. Record the first child-controlled action and any adult content hint separately. A child can speak, sign, use AAC, direct an adult to move large pieces, make marks or use a suitable accessible virtual equivalent. Reading speed, handwriting and motor precision are not hidden mathematics targets.

## Prepare and run

- Use broad paper squares or large counters, never small loose objects where mouthing is a concern. Check the local supervision and access plan. No purchases, internet, personal survey or photograph is required.
- Optional original A4 [number track](print/zero-to-twenty-track.pdf), [count-once mat](print/count-once-mat.pdf), [part/whole mat](print/part-whole-tray.pdf) and [change-story mat](print/change-story-mat.pdf) each have SVG and [complete text/tactile routes](print/TEXT-ALTERNATIVES.md). Keep the [fresh-check print](print/teacher-held-checks.pdf) with the teacher until use.
- Count real or paper pieces once; move each piece to a counted place. If a piece is missing or duplicated, repair the materials before observing the child. For adding/taking away, act out the **change**, state the start/change/end and let the child explain how they know.
- Use [the crosswalk](CURRICULUM-CROSSWALK.md) and [source/rights ledger](SOURCE-AND-RIGHTS.md) to plan a locally approved lesson. This packet is a small national-curriculum sample, not a complete term, state syllabus, unit grade, learning-impact result or replacement for teacher judgment. The [desk run-through](RUN-THROUGH.md) states what was actually tested.

All original teaching expression and diagrams are © NeuroForgeIO Pty Ltd 2026, SubjectNest, [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/). Credit the author/source, link the licence and indicate changes. ACARA content remains under [its own terms](https://www.australiancurriculum.edu.au/copyright-and-terms-of-use); ACARA does not endorse this pack.