# Optional five-minute extras and no-purchase home routes

Each row offers **two alternative** five-minute extras and one low-material home idea. Choose at most one extra; the core 35-minute lesson stands alone. Home is optional, needs only paper or an oral explanation, and asks for no device, account, purchase, journey, family interview, personal data or adult marking. Every situation is invented. Give Day 15/20 extras **after** collecting the new-case check. [Teacher quick boundaries](TEACHER-KEY.md#optional-quick-boundaries) are separate.

| Day | Extra A · five minutes | Extra B · five minutes | No-purchase home/low-material route |
| ---: | --- | --- | --- |
| 11 | **Two comic shelves:** expand `2(6+3x)` and explain whether the result is one shelf or two combined. | At `n=2`, explain in words why `T(n)=120 cm` does not mean a single 120 cm drawn rail. | Invent two equal paper strips with a repeated width and speak two equivalent total-width wordings. |
| 12 | Write a testable criterion for a fictional book-zine cover's text margin, keeping real readability uncertain. | Compare reusing a paper offcut with a new sheet: name one potential benefit and one unknown. | Sketch two ways to fold scrap paper for a paper-only support and write what would have to stay the same in a fair test. |
| 13 | From Source C's **constructed** flat trials, compute `1+2+1=4` and explain `4/3` as a mean, not a guaranteed capacity. | Draw a light paper tab before/while falling and label gravitational potential and kinetic energy without assigning numbers. | Set out a no-test procedure using words or scrap cards for CHANGE, KEEP SAME and STOP; do not build a real structure. |
| 14 | Make a two-word caption look welcoming using only spacing and size; ask what is interpretation rather than measurement. | In Source C's constructed data, explain why different fold sharpness could change a result. | Make two paper title layouts with the same words and tell a possible reader effect; no public display. |
| 15 | **After the check**, return to Source A and replace “fit perfectly” with a paper-model-bound phrase. | Revise Day 12's criterion to state a precise source and limit. | Use an older source only: tell someone or write what a drawn dimension can and cannot prove. |
| 16 | For an invented 40-minute table game, `4+9g≤40`; test `g=4` and `g=5` without claiming every player gets a turn. | Turn Source D's headline into an honest invitation of at most nine words. | Invent a paper timetable and mark the difference between tasks completed and people served. |
| 17 | At `p=6`, check `F=G=24` tokens in Source E and say what stays unknown. | Add a fictional two-token delivery fee to **F only** at p4; recompute but label it a what-if, not a quote. | Compare a setup fee and per-item fee in a made-up craft quote. State a count; do not use household spending. |
| 18 | Draw a large-text error message for a negative model count that states what input is allowed. | Use the offline tool or text route to ask whether a result line names centimetres/minutes, then improve a label. | Make a paper input/result/limit card for a fictional calculation and trace one value. No screen required. |
| 19 | Give the fictional editor two possible caption titles and ask which one overpromises. | Make a small source list for three claims in your recommendation and mark any unsupported claim `unknown`. | Write a two-sentence paper-only recommendation and a question for a hypothetical editor. Do not send it. |
| 20 | **After the check**, revisit Source E: why does F's setup fee affect low and high counts differently? | Choose one Day 14 visual caption and make its source label easier to find. | Reopen an earlier fictional source and replace one universal claim with a bounded one. |

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