# Learner choice cards · Days 11–20

Choose **one A/B/C card per day** and switch if the context is unfamiliar. Every option targets the same day's mathematics. Estimate when asked **before** finding the exact product. You may draw an array, arrange place cards, point to the [print mats](print/TEXT-ALTERNATIVES.md), dictate your equations, type, sign, use AAC or use a teacher-scribed strategy. The teacher records your choices and any help. Each setting and amount is invented; no real price, team, business, school or person is represented. The teacher has [worked answers](teacher/TEACHER-KEY.md). Days 15 and 20 cards below are available **only after** the new check has been collected.

## Day 11 · Estimate, then calculate

- **A · Paper grandstand:** A drawing has 52 seats in each of 18 rows. Before calculating, use about 50×20 as a benchmark. Find 52×18 exactly and say why it is near, but below, 1,000. Use grid or compensation.
- **B · Art-sticker sheets:** An invented design uses 73 stickers on each of 14 sheets. Estimate with 70×15, then calculate 73×14. Explain whether an answer near 100 could be plausible.
- **C · Game-token cards:** Each of 5 fictional cards lists 208 tokens. Estimate with 200×5, then find 208×5. Use place cards or a typed table and explain the extra 8 in each group.

## Day 12 · One-digit multiplier, visible place values

- **A · Library label model:** A paper collection has 235 labels in each of 7 packs. Write `200×7 + 30×7 + 5×7`; find the exact total and compare with 200×7.
- **B · Trail-marker game:** The made-up game prints 602 markers per board in 4 boards. Keep the zero tens place visible while finding 602×4; show why 602×4 is bigger than 600×4.
- **C · Stage-light diagram:** A *paper* grid labels 481 light dots in each of 6 panels. Use hundreds/tens/ones or an accessible number table to find 481×6 and state a rough check. This does not describe an electrical installation.

## Day 13 · Two-digit partial products

- **A · Book-card sets:** A fictional print plan uses 215 cards in each of 14 sets. Show 215×10 and 215×4 separately, add them, then explain why the tens product has four digits.
- **B · Sports-score sheets:** A paper example has 76 marks on each of 32 sheets. Show 76×30 and 76×2, combine and check against a nearby rounded product.
- **C · Garden-plan squares:** A design table draws 142 squares in each of 26 strips. Find 142×20 and 142×6, then total. Tell a reader which partial product is from **twenty**, not two, strips.

## Day 14 · Choose an efficient route

- **A · Music-note cards:** Each of 9 paper cards contains 396 printed notes. Choose 400×9 minus 4×9 **or** another method for 396×9. Explain why your answer must be a little below 3,600.
- **B · Craft-tab sheets:** A mock design has 125 tabs on each of 24 sheets. Choose 125×(20+4), or double 125×12, or another valid route. Check the result against 100×24.
- **C · Board-game squares:** Each of 19 fictional boards has 318 squares. Choose 318×(20−1) or partial products. Explain why a result near 60,000 would be the wrong scale.

## Day 15 · After Check A only

- **A · Paper flags:** 106 flags on each of 13 drawn pages. Find 106×13 with 10+3 and mark the ten-group product. This card was **not** the assessment.
- **B · Workshop labels:** 72 labels on each of 28 fictional sheets. Find 72×28 using 30−2 or 20+8 and compare both routes.
- **C · Board-game pieces:** 309 pieces in each of 6 printed plans. Show the zero tens place and find 309×6. A teacher checks the separate fresh sample first.

## Day 16 · Invented money, exact decision

- **A · Print kits:** 12 imaginary kits at $34 each, with a stated $420 limit. Estimate, calculate exact total, then tell how much remains. Use a private fictional card, not family spending.
- **B · Paper badges:** 19 invented badges at $27 each, with a $530 limit. Use compensation or partitioning, then state whether the limit is met and the exact remainder.
- **C · Club folders:** 11 fictional folders at $42 each, with a $480 limit. Explain why `10×42` is a useful start, then find total and amount left.

## Day 17 · Product and inverse family

- **A · Ticket model:** 215 paper tickets per booklet in 9 booklets. Find total, then write a division or multiplication fact that undoes/checks the grouping. Give a rounded check too.
- **B · Map-symbol grids:** 324 symbols per panel on 7 paper panels. Find the total, an inverse fact and a nearby bound. Do not say a real map has this many features.
- **C · Pattern tiles:** 507 printed marks per card on 6 cards. Keep the zero tens and find total; explain which division fact would recover marks per card.

## Day 18 · A missing group count

- **A · Paper tracks:** 18 marks per strip make 702 marks. What whole-number strip count belongs in `18×?=702`? Check by substituting your count.
- **B · Art squares:** `?×26=832` square marks on a fictional plan. Find the number of equal groups and write an inverse or related fact.
- **C · Library slips:** `45×?=1,260` slips in an invented arrangement. Find the group count with division, a partial-products thought or trial/refinement; check the exact product.

## Day 19 · Two totals plus a real stated constraint

- **A · Puzzle-card bundles:** Plan 1 makes **30 bundles of 24**; Plan 2 makes **45 bundles of 16**. A *fictional* shelf can hold **at most 32 bundles**. Find both totals and recommend a plan using only this stated fact. Do not claim one costs less.
- **B · Craft-paper envelopes:** Plan 1 has **40 envelopes of 21**; Plan 2 has **30 envelopes of 28**. The worktable has room for **at most 35 envelopes**. Compare totals, then say which arrangement fits.
- **C · Story-card stations:** Plan 1 has **36 stations of 26** cards; Plan 2 has **24 stations of 39** cards. The invented activity needs **at least 30 stations**. Calculate both totals and choose by that criterion. Explain why a different criterion could change the choice.

## Day 20 · After Check B only

- **A · Label strips:** 57 marks on each of 19 paper strips. Find 57×19 using a strategy you can explain and a scale check; keep Check B private.
- **B · Token trays:** 24 tokens on each of 35 drawn trays. Find 24×35 two ways, such as 24×(30+5) and doubling/halving. Explain when the second route is easier.
- **C · Poster dots:** 108 dots per paper poster across 11 posters. Use 10+1 to find the product; write an inverse statement and a quick benchmark.

**Original resource rights:** © NeuroForgeIO Pty Ltd 2026, SubjectNest, [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/). Credit, link and indicate changes. All 30 contexts are invented.