# Ten free home offers and ten optional extras

Every home offer stands alone without purchase/device/earlier work, handwriting quota or a family log. Optional extras are voluntary, not assigned catch-up. Usual communication/scribe is welcome. All data fictional; no actual family finances, health, locations, credentials or personal records. A planned trace is not device implementation.

## Offer 01 · Invent a total

**Home:** Imagine a made-up collection. Choose a start and one added amount; say what total means. A conversation is complete; no objects/device or previous lesson needed.

**Optional extra · Change the start:** Using invented values, compare two starts with the same added amount. Predict before any optional locally approved device run.

## Offer 02 · Replace or add

**Home:** Pick any small invented number. Tell two stories: replace it with another number; add another amount. Explain why the results may differ.

**Optional extra · Reverse two additions:** Choose two ADD constants; compare their order and intermediate totals. Do not assume SET can also move without changing meaning.

## Offer 03 · Two pretend records

**Home:** Make up two small values; imagine adding each to a start once. Speak, point to scrap numbers or use usual communication. No recording/device needed.

**Optional extra · Constant or input:** For own unequal records, compare ADD1 with ADD input. Explain which suits the chosen purpose; paper comparison stays design.

## Offer 04 · An empty collection

**Home:** Invent a collection with no new records. Should its starting total remain? Choose and explain a rule rather than buy or gather objects.

**Optional extra · One record test:** Invent a single record and a start; compare SET once versus inside a loop. Explain why a one-record case may hide a fault.

## Offer 05 · Your first rule

**Home:** Choose a new fictional purpose and one total instruction you want. Keep it your own; the held school case is not a home rehearsal.

**Optional extra · Different empty test:** After first school capture only, discuss empty-batch initialisation using an entirely different own start/purpose; no held quantities.

## Offer 06 · Three choices

**Home:** Imagine a harmless rule with three different outcomes. Describe a decision path using “if/otherwise”; no real people’s eligibility or rewards.

**Optional extra · Nest a decision:** Design another harmless three-outcome rule with own thresholds/actions. Preserve which body contains the second comparison.

## Offer 07 · Exact equality

**Home:** Invent “less than” and “at most” rules with a chosen small boundary. What happens exactly at that boundary? One example is enough.

**Optional extra · Pick a revealing input:** Choose a test that distinguishes < from≤ at your own threshold. An actual run requires available locally approved access.

## Offer 08 · Explain the order

**Home:** Say or sketch a start/change/show sequence for an invented job. Ask a willing adult to restate it only if comfortable; no response invented.

**Optional extra · Different representation:** Represent your own ordered programme as words or nested shapes; tell what grouping means. A diagram is not interface making.

## Offer 09 · One useful criterion

**Home:** Choose what a pretend programme should do. How might you check one part? Keep an imagined check separate from a real test.

**Optional extra · Possible effect:** Explain a possible access/effort effect of an own design and what real evidence would be needed. No guaranteed benefit or fabricated peer.

## Offer 10 · A new puzzle

**Home:** Create a different small total puzzle for pleasure. Explain one chosen instruction or input. No requirement to finish, share or run it.

**Optional extra · Alternative design:** After first fresh capture only, find another algorithm for an own different total purpose; test/trace a changed batch if useful.