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Does that plan really work? · complete teacher lessonYear 1 Maths · T2 W15–16 · Teacher · Teacher / Day 79

Purpose

Inspect equality, completeness and conservation instead of accepting a confident label.

Time and choice

About 20–30 minutes, unpiloted. Choose one route; shorten, split or pause. Days 71–80 are flexible sequence slots, not attendance or a claim about 195/200 calendar days.

Materials

Plain paper, a pencil or child-directed marks, safe large pieces and named places. A place can be a drawn box or spoken label. No food, real money, purchase, printer, account or device required. A helper moves only the piece/place the child chooses.

Entry

Use a fresh eight-card/two-recipient job with a supplied 5/3 allocation. Count both shares and the whole before revising. A correct total does not by itself prove equal shares; a named pack does not prove it has its required size.

When a confusion appears

A child can reject a plan with no evidence or accept it because the total is right. Ask them to inspect a new six-card/two-place 4/2 plan or a nine-card/four-per-pack 2 packs+1 loose plan. Model the exact condition and a check; do not infer a fixed ability from one response.

Access choices

Let the child mix objects, a drawing, speech, signing, AAC, tactile marks or an exact directed helper. Read the whole source and allow processing time. Offer a quiet seated route and a pause. Record reading/motor access separately from hints that choose a mathematical step. These are choices, not fixed learning styles or neurotype assignments.

Choose a job and check entry · 0–3

Use a fresh eight-card/two-recipient job with a supplied 5/3 allocation. Count both shares and the whole before revising. A correct total does not by itself prove equal shares; a named pack does not prove it has its required size.

Teach a whole different example · 3–9

Twelve whole bookmark cards must be shared equally between two pretend makers. A supplied plan gives seven cards to one maker and five to the other. Does this plan make equal shares? How could the same twelve be shared equally? After the first chosen attempt, demonstrate: The supplied 7/5 plan keeps the total 12 but is unequal. Move one card from the seven-card place to the five-card place:6/6 is equal. Name 12 as the whole collection and 2 as the known number of recipients. Deal one bookmark card to each recipient in a complete round, or make a different equal-allocation model the child can explain. After 6 complete rounds each recipient has 6 bookmark cards; 0 whole bookmark cards remain aside. Check every recipient has the same amount and that every member of the original collection is in exactly one recipient place or the leftover place. The collection check is 6 + 6=12. The requested answer names an amount per recipient, not the total or number of recipients. Do not split a whole card or invent more members; another fairness arrangement would need a different agreed job. Then introduce the complete different source Thirteen whole wheel-picture cards are available. Every complete pretend vehicle pack needs four cards. A supplied plan has three four-card packs and one loose card. A helper calls this four complete packs. How many packs are actually complete, and what remains aside? Discuss the change in purpose/quantities rather than presenting a shortcut answer.

Try a new source together · 9–15

Ten new drawing marks shared between two makers, supplied 7/3 plan; guided 5/5 repair. Read this whole new job. Let the child identify what is known and choose a representation before showing the worked possibility. Keep the original collection visible and ask what the useful answer names.

Choose a practical route · 15–22

Offer one complete route below, not all three as a workload. The child may change response mode or pause. Keep the full source visible, leave own-record spaces empty and retain the first model/words before any numerical hint.

Make a usable outcome · 22–25

Make a kind, evidence-based repair note. Include the exact source identity, useful answer unit and any whole leftovers. Invite a willing helper to follow it; if no helper is available, the child can point through the instruction. A planned invitation is not evidence that another person used it.

Check evidence and choose next teaching · 25–29

Fresh fourteen scene cards, four per complete pack;3 packs/2 loose. Explain why 2 loose is not a fourth complete pack. Record the particular component shown/not yet shown/not observed and actual support. Select the specific unrelated next lesson after the first record; do not turn a revised answer into a new independent sample.

D79-R1 · Check a festival share

Useful outcome

A kind, evidence-based repair note.

• Read the complete job; name the whole and the known recipient count, pack size or equal-kit structure.
• Choose large safe objects, a labelled drawing/tactile record or an exact child-directed helper; represent every stated member once.
• Try a taught sharing/grouping/equal-whole method. Keep your first thinking; label what your answer and any leftovers mean.
• Check the actual equality/pack-size condition and the whole collection. Make the practical note; copying a supplied adult model is supported practice.

Adult model · after the first attempt

Name 10 as the whole collection and 2 as the known number of recipients. Deal one festival card to each recipient in a complete round, or make a different equal-allocation model the child can explain. After 5 complete rounds each recipient has 5 festival cards; 0 whole festival cards remain aside. Check every recipient has the same amount and that every member of the original collection is in exactly one recipient place or the leftover place. The collection check is 5 + 5=10. The requested answer names an amount per recipient, not the total or number of recipients. Do not split a whole card or invent more members; another fairness arrangement would need a different agreed job.

Let the child mix objects, a drawing, speech, signing, AAC, tactile marks or an exact directed helper. Read the whole source and allow processing time. Offer a quiet seated route and a pause. Record reading/motor access separately from hints that choose a mathematical step. These are choices, not fixed learning styles or neurotype assignments.

Matching neutral route and empty record

D79-R2 · Check a pack count

Useful outcome

A kind, evidence-based repair note.

• Read the complete job; name the whole and the known recipient count, pack size or equal-kit structure.
• Choose large safe objects, a labelled drawing/tactile record or an exact child-directed helper; represent every stated member once.
• Try a taught sharing/grouping/equal-whole method. Keep your first thinking; label what your answer and any leftovers mean.
• Check the actual equality/pack-size condition and the whole collection. Make the practical note; copying a supplied adult model is supported practice.

Adult model · after the first attempt

Name 16 as the whole available collection and 3 stamp-picture cards as the required size of each complete pack. Take exactly 3 at a time into a new named pack; check that size before calling it complete. There are 5 complete packs and 1 whole stamp-picture card aside. 3+3+3+3+3=15; 15+1=16. The requested number 5 names packs; 3 names members in one pack. A leftover group of fewer than 3 is not another complete pack. Count or rebuild all original members to check; repeated addition, known groups or a supported subtraction model are possible taught methods, not a required memorised division fact.

Let the child mix objects, a drawing, speech, signing, AAC, tactile marks or an exact directed helper. Read the whole source and allow processing time. Offer a quiet seated route and a pause. Record reading/motor access separately from hints that choose a mathematical step. These are choices, not fixed learning styles or neurotype assignments.

Matching neutral route and empty record

D79-R3 · Check three sign kits

Useful outcome

A kind, evidence-based repair note.

• Read the complete job; name the whole and the known recipient count, pack size or equal-kit structure.
• Choose large safe objects, a labelled drawing/tactile record or an exact child-directed helper; represent every stated member once.
• Try a taught sharing/grouping/equal-whole method. Keep your first thinking; label what your answer and any leftovers mean.
• Check the actual equality/pack-size condition and the whole collection. Make the practical note; copying a supplied adult model is supported practice.

Adult model · after the first attempt

There are 3 known kits with 4 sign cards in every kit. Build or draw each kit separately and count every member once. 4+4+4=12 sign cards in all. The numbers 3 and 4 name different quantities, so adding them as two loose parts would not represent the kits. Check each of the 3 kits still contains 4; then recount or use another taught equal-group method. A multiplication symbol is optional adult shorthand, not a prerequisite or a demand for times-table recall.

Let the child mix objects, a drawing, speech, signing, AAC, tactile marks or an exact directed helper. Read the whole source and allow processing time. Offer a quiet seated route and a pause. Record reading/motor access separately from hints that choose a mathematical step. These are choices, not fixed learning styles or neurotype assignments.

Matching neutral route and empty record

Whole introductory sources

C17 · Check a fair-start plan

C18 · Check which packs are complete

Six-heading paper for C17

Complete written optional read-aloud

Full optional two-session project