NEXT15 · Kits and cards are different units

Component and target criterion

D-first-Q3 · Rejects 7 because 3 names kits and 4 names cards per kit; three complete four-card groups require 12 members.

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. A supplied claim says 3 kits+5 cards per kit=8 cards. Point to the roles of both numbers, then build three actual five-card groups and count 15. A plus sign is not wrong in itself:5+5+5 represents this job;3+5 does not. 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

There are 3 known kits with 5 recipe-picture cards in every kit. Build or draw each kit separately and count every member once. 5+5+5=15 recipe-picture cards in all. The numbers 3 and 5 name different quantities, so adding them as two loose parts would not represent the kits. Check each of the 3 kits still contains 5; 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.

Full different guided practice

Guided worked possibility

There are 2 known kits with 6 book cards in every kit. Build or draw each kit separately and count every member once. 6+6=12 book cards in all. The numbers 2 and 6 name different quantities, so adding them as two loose parts would not represent the kits. Check each of the 2 kits still contains 6; 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. 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. Challenge adding unlike dimension labels.

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.