NEXT23 · Is that last pack really complete?

Component and target criterion

B-later-Q3 · Rejects five complete packs as the complete-group result; distinguishes required size 4, completed count 4 and a short leftover collection of 1 which is not another complete group.

Purpose

Teach this particular missing component with a new ordinary job after retaining the held first response. The previous answer/source is not silently edited into a new independent sample.

Entry

Read the exact original response and separate access support from mathematical hints. Check counting the fresh whole and understanding the named unit. Offer a small new four-member/two-place or six-member/two-per-pack introduction if this representation is new; do not require fluent symbolic division.

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.

Time

About 8–12 minutes, unpiloted; split or stop as needed.

Five full teaching moves

1. Introduce the entire new source and ask what each quantity names. Preserve a first model or explanation. 2. Model two five-member packs and three loose marks from 13. A helper calls the loose group a third full pack. Compare 3 to the stated required 5 rather than using the number of outlined boxes; reject that completion claim with exact source evidence. 3. Teach with the separate worked possibility below only after that first attempt. Invite the child to direct a different coherent model; do not require a faster strategy or a repeated physical action. 4. Introduce the full different guided source, not just new numerals. Let the child first choose a representation and label the requested quantity. 5. Recheck the precise new-source component, record actual support and choose another fresh opportunity later if needed.

New-source adult model

Name 13 as the whole available collection and 5 costume marks as the required size of each complete pack. Take exactly 5 at a time into a new named pack; check that size before calling it complete. There are 2 complete packs and 3 whole costume marks aside. 5+5=10; 10+3=13. The requested number 2 names packs; 5 names members in one pack. A leftover group of fewer than 5 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.

Full different guided practice

Guided worked possibility

Name 16 as the whole available collection and 5 garden cards as the required size of each complete pack. Take exactly 5 at a time into a new named pack; check that size before calling it complete. There are 3 complete packs and 1 whole garden card aside. 5+5+5=15; 15+1=16. The requested number 3 names packs; 5 names members in one pack. A leftover group of fewer than 5 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. The supplied claim does not fit: check the complete represented collection and the exact required relationship rather than the confidence of the claim.

Observation

Read the full guided source and its stated helper claim. Invite the child to decide whether it fits and explain with a model, words or directed objects. Keep both first response and any subsequent support. Explain why a short group is not a completed pack.

Guided source criterion

Explains why the specific helper claim in this new guided source fails the stated relationship, using the actual whole, requested unit and equality/complete-size/equal-kit rule. An unexplained rejection or correct numeral alone is insufficient. Keep this guided source distinct from the old held case.

Follow-up and eligibility

A later new small source may change the named purpose or one stated quantity. Introduce it whole, check its intended relationship and criterion before use, and keep it as a separate dated record. A prompted correction now is supported teaching, not proof of unseen transfer.

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.