# Thirty flexible ordinary choices

No choice establishes performed measuring unless observed. Choose by purpose/wanted support, not a fixed style label.

## Day 21 · choice 1

### 1 · Tool detective

**Which tool would help?**

Choose one familiar safe object and one question; direct an adult to show two tools, then choose and explain.

Observe: Attribute and tool fit the question.

Next teaching: Compare two different attributes of an unrelated empty pencil box.

Evidence boundary: Choice and explanation; no measurement performed yet.

## Day 21 · choice 2

### 2 · Label mix-up

**Can you fix these labels?**

Use these MODEL labels: bookmark length 18 mL; water bottle capacity 500 cm; sealed packet mass 250 g. Repair the first two with cm and mL and tell why the third already fits.

Observe: 18 cm, 500 mL and 250 g, with each attribute explained.

Next teaching: Give new labels for a ribbon, a jug and a block without repeating these values.

Evidence boundary: Supplied label interpretation, not live product facts.

## Day 21 · choice 3

### 3 · One object, two jobs

**What else could we find out?**

Draw, describe or type two questions about an empty carton: the length of an edge and how much it can hold. Choose tools and units for both without handling it.

Observe: Same object can have different measured attributes.

Next teaching: Try a new container and ask which question needs a scale.

Evidence boundary: Plan and mathematical choices, not performed measurement.

## Day 22 · choice 1

### 1 · Bookmark maker

**Will it fit this book?**

Estimate a familiar book edge, then measure or direct measuring. Fold a strip to the measured length and compare the fit. Keep the real reading instead of forcing the model's answer.

Observe: Unit, start/end and fit agree; label who handled the tool.

Next teaching: Measure a different edge and explain a mismatch before changing the strip.

Evidence boundary: Observed measuring/directing and fit; adult handling recorded.

## Day 22 · choice 2

### 2 · Broken-start puzzle

**How long is the strip?**

Use a MODEL start of 3 cm and end of 12 cm. Show 12 − 3 = 9 cm with a number line, gesture, words or jottings; explain why 12 cm counts an unused section.

Observe: 9 cm with a reason about the start.

Next teaching: Use an unrelated diagram from 7 to 16 cm and hide the written equation.

Evidence boundary: Supplied diagram interpretation only.

## Day 22 · choice 3

### 3 · Two readings, same strip

**Did moving it make it longer?**

For a MODEL paper tail, reading pair A is 0 to 7 cm and pair B is 4 to 11 cm. Compare both differences and choose one clear measuring instruction for a helper.

Observe: Both lengths 7 cm; a usable alignment instruction.

Next teaching: Invite a real safe alignment attempt if wanted, separately recorded.

Evidence boundary: Comparison and plan; no physical action inferred.

## Day 23 · choice 1

### 1 · Zero detective

**What changed when we zeroed it?**

With adult-reviewed kit, observe an empty safe tray and then a chosen object. State whether zero was set with or without the tray; compare readings using the same procedure. Directing the adult is fine.

Observe: Clear zero state and unit; no body mass requested.

Next teaching: Repeat with a new familiar safe object and ask why a different tray matters.

Evidence boundary: Actual reading/directing if observed; help recorded.

## Day 23 · choice 2

### 2 · Packing tray puzzle

**Find the contents, not the tray.**

MODEL: empty tray 60 g; tray plus paper pieces 240 g. Find contents 180 g and check 60 + 180 = 240. Explain which number includes the tray.

Observe: Part-whole reason, 180 g and correct inverse check.

Next teaching: Use a new drawing with different values before another check.

Evidence boundary: Supplied mass calculation, not weighing.

## Day 23 · choice 3

### 3 · Scale repairer

**Which arrow reading makes sense?**

A MODEL scale labels 0, 100, 200 and 300 g with a middle 50 g mark in each gap. Arrow sits at 200 g. A label says 20 g. Repair it and explain the marked interval.

Observe: 200 g, with 50 g gaps understood.

Next teaching: Read a new pointer between labels and let the child request a clearer description.

Evidence boundary: Marked model reading only.

## Day 24 · choice 1

### 1 · Small pour or direct

**Stop at your chosen mark.**

On adult-reviewed kit choose a safe marked amount, estimate it, and pour or direct a helper to approach it. Stop safely, read the actual level, and compare with the estimate. No correction needs to happen secretly.

Observe: Actual increment and level reading; roles and safety recorded.

Next teaching: Choose another small suitable amount and explain whether the same jug has enough capacity.

Evidence boundary: Observed action/directing/reading, not an invented exact result.

## Day 24 · choice 2

### 2 · Jug detective

**How much more is needed?**

MODEL: 300 mL present; target 450 mL. Work out 150 mL more and check 300 + 150 = 450. Choose a 600 mL capacity container rather than a 400 mL one for the whole target.

Observe: 150 mL more and capacity at least 450 mL.

Next teaching: Use a new target with new levels; keep supplied numbers separate from real measurements.

Evidence boundary: Supplied diagram and additive choice only.

## Day 24 · choice 3

### 3 · Tall is not enough

**Which label helps us choose?**

MODEL: tall narrow container capacity 350 mL; short wide container capacity 650 mL. Target 500 mL. Choose short wide and explain why the numbers matter more than the drawn height.

Observe: 650 mL capacity meets 500 mL; shape alone not evidence.

Next teaching: Read an unrelated actual adult-reviewed label and mark its source/date.

Evidence boundary: Supplied capacity comparison only.

## Day 25 · choice 1

### 1 · Make it fit

**Help something fit where you want it.**

Choose a familiar safe paper item and space. Estimate with a known strip, measure or direct, then test fit; describe any change needed without hiding a mismatch.

Observe: Real unit/alignment/decision; helper action logged.

Next teaching: Choose an unrelated item and begin without the former model.

Evidence boundary: Observed practical length route.

## Day 25 · choice 2

### 2 · Readings help a decision

**What do these readings let us decide?**

MODEL display shelf gap 24 cm; proposed card 26 cm. Explain the 2 cm mismatch and suggest a 22 cm card, leaving 2 cm. State that supplied readings do not prove actual shelf dimensions.

Observe: Comparable units and 2 cm difference; proposal not actual alteration.

Next teaching: Ask for the real local reading/source before making a real item.

Evidence boundary: Supplied practical reasoning only.

## Day 25 · choice 3

### 3 · Capacity helper

**Will the whole amount fit?**

Choose safe adult-reviewed containers by known labelled capacity, or MODEL 400 mL and 700 mL containers for a 550 mL target. Explain why 700 mL fits and 400 mL does not.

Observe: Attribute/units/target comparison and stated evidence source.

Next teaching: Change the context and capacity labels, not just repeat the answer.

Evidence boundary: Label interpretation; real pouring only if separately observed.

## Day 26 · choice 1

### 1 · Paper-piece estimate

**About how many could this be?**

Use a safe approved collection; choose a known group size and compare before counting. Count or direct grouping to check, then say which estimate would be useful for preparing storage.

Observe: Benchmark and order of estimate-before-count; true count separately.

Next teaching: Try a new collection with another benchmark.

Evidence boundary: Own estimation/counting/directing; exact outcome not predetermined.

## Day 26 · choice 2

### 2 · Hidden corner

**What could be in the part we cannot see?**

MODEL: three known groups of 15 pieces are visible; one similar-size group is partly hidden. Estimate around 60, but state the unseen count is unknown. Do not write 60 as an observed total.

Observe: Visible 45 and justified uncertain estimate.

Next teaching: Use an unrelated partly described collection with an explicitly empty unknown field.

Evidence boundary: Supplied partial-information reasoning.

## Day 26 · choice 3

### 3 · Storage proposal

**Which count sounds possible?**

MODEL: a known 25-piece pile fits one small square; another collection fills about four such squares. Compare estimates 10,100 and 1000 and choose 100 with a reason, not an exact count claim.

Observe: Scale/benchmark connection and uncertainty.

Next teaching: Ask what would be needed to establish the exact count.

Evidence boundary: Model estimate only.

## Day 27 · choice 1

### 1 · Badge planner

**Could we have enough?**

MODEL 218 + 167 badges, stock 400. Estimate about 400, calculate 385, then explain 15 spare. Use a drawing, gesture with group labels, jottings or usual communication.

Observe: 385 total/15 spare and sensible estimate.

Next teaching: Change both batches for a new stock decision.

Evidence boundary: Fictional planning calculation.

## Day 27 · choice 2

### 2 · Catch the missing place

**Which answer needs checking?**

MODEL 274 + 189. Compare answers 46 and 463 using a rough 300 + 200 estimate, then solve 463 and identify why 46 loses the scale of the quantities.

Observe: Estimated scale, exact 463 and explanation rather than guessing the longer numeral.

Next teaching: Use a new answer with a subtle digit error requiring an inverse check.

Evidence boundary: Supplied error analysis.

## Day 27 · choice 3

### 3 · Build your own help ticket

**Write a total someone could use.**

Choose two safe known fictional batches between 100 and 300, state the unit and a practical decision. Estimate, solve and ask a helper to check your explanation without silently rewriting it.

Observe: Complete self-chosen model/question and linked quantities.

Next teaching: Ask what changes if stock is smaller than the exact total.

Evidence boundary: Original modelling proposal; no actual collection implied.

## Day 28 · choice 1

### 1 · Trim puzzle

**How much more completes it?**

MODEL total 275 cm, known part 148 cm. Find 127 cm and check 148 + 127 = 275; show which part is missing.

Observe: Correct relation/127 cm/inverse/context.

Next teaching: Use a new part-whole with no written equation.

Evidence boundary: Supplied measurement-quantity modelling, not physical trim.

## Day 28 · choice 2

### 2 · Jug top-up

**What is needed to reach the target?**

MODEL 180 mL present, target 420 mL. Find 240 mL more and check 180 + 240 = 420. Explain that the target must also fit the chosen container's capacity.

Observe: Unknown 240 mL and capacity question recognised.

Next teaching: Offer a new target and a labelled capacity too small; ask what should change.

Evidence boundary: Supplied volume arithmetic; no actual pour.

## Day 28 · choice 3

### 3 · Unknown-ticket creator

**Give a helper one missing part.**

Invent a whole between 200 and 500 and a smaller known part; choose cm, g or mL suited to a safe fictional job. Leave unknown empty, then solve and show the inverse relation.

Observe: Self-chosen coherent whole/part/unit/check.

Next teaching: Exchange a new ticket only after the first attempt is complete.

Evidence boundary: Original mathematical proposal, not real measurement.

## Day 29 · choice 1

### 1 · Paper job you care about

**Make a little plan that would help.**

Choose a safe familiar fit/storage job. Obtain or request a real labelled reading if appropriate; otherwise label model values. Estimate, calculate or compare and make one useful decision.

Observe: Question/evidence/unit/check/decision connected; actual action separate.

Next teaching: Ask for one missing piece of evidence before attempting any real making.

Evidence boundary: Own plan or observed action with explicit labels.

## Day 29 · choice 2

### 2 · Packing-room proposal

**Will this limit work?**

MODEL two paper bundles 185 g and 236 g; empty box 70 g; limit 500 g including box. Total 491 g,9 g below limit. Explain why omitting the box gives the wrong decision and why a real packing job needs a real reading.

Observe: All parts,491 g and 9 g margin; source limit supplied.

Next teaching: Change the box and limit for an unrelated problem.

Evidence boundary: Fictional logistics decision, not postal compliance.

## Day 29 · choice 3

### 3 · Water station plan

**Which choice meets the target?**

MODEL two needs 250 mL and 375 mL; total 625 mL. Choose a labelled 750 mL capacity container instead of 600 mL; explain estimate around 600–700 and what remains untested.

Observe: 625 mL/adequate capacity/qualified plan.

Next teaching: Try new labels without the former worked values.

Evidence boundary: Fictional practical modelling; no drinks/medical prescription.

## Day 30 · choice 1

### 1 · Show one useful move

**Which move helped your job?**

Choose an ordinary record or make a new safe tiny problem. Explain unit/tool, an estimate or an inverse check and a decision it helps. Use words, drawing, signing, typing, directing or exact scribing.

Observe: Own reason and component choice, not presentation length.

Next teaching: Select a specific unrelated example matching the remaining gap.

Evidence boundary: Ordinary reflection, not unseen assessment.

## Day 30 · choice 2

### 2 · Help a new fictional client

**What information is missing?**

MODEL request: 'Make a strip fit my shelf.' No shelf length/unit is supplied. Ask for the reading, instrument/starting point and purpose before deciding. Do not invent a local shelf measurement.

Observe: Missing evidence recognised and useful follow-up asked.

Next teaching: Supply a new reviewed reading and invite a decision.

Evidence boundary: Question formulation, not actual measuring.

## Day 30 · choice 3

### 3 · Choose a next attempt

**What would you like to practise?**

Choose one: zero alignment, marked scale reading, capacity comparison, collection benchmark or inverse check. State why; ask a helper for a new example with different values after the choice.

Observe: Specific learning need and wanted support identified.

Next teaching: Adult prepares the requested unrelated example, separately from held stages.

Evidence boundary: Self-selected next teaching request.