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What makes a complete pack? · complete teacher lessonYear 1 Maths · T2 W15–16 · Teacher · Teacher / Day 75

Purpose

Use a fixed pack size to find the number of complete packs.

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

Make one new complete two-card pack. Ask what makes it complete, then provide six cards and build fresh packs of two. The known 2 is a pack size, not the number of packs; contrast that with yesterday’s known recipients.

When a confusion appears

A child can report the pack size as the pack count. Label one four-card pack and the separate count of completed packs in a fresh eight-card/four-per-pack job. Do not teach a keyword rule to divide whenever pack appears.

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

Make one new complete two-card pack. Ask what makes it complete, then provide six cards and build fresh packs of two. The known 2 is a pack size, not the number of packs; contrast that with yesterday’s known recipients.

Teach a whole different example · 3–9

Twelve whole tool-picture cards are available. Each complete pretend repair kit needs three cards. How many complete kits can be made? After the first chosen attempt, demonstrate: Name 12 as the whole available collection and 3 tool-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 4 complete packs and 0 whole tool-picture cards aside. 3+3+3+3=12; The requested number 4 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. Then introduce the complete different source Ten whole label cards are available. Each complete pack must contain two cards. How many complete packs can be made? Discuss the change in purpose/quantities rather than presenting a shortcut answer.

Try a new source together · 9–15

Twelve new mirror-picture cards, three per complete kit; guided 4 kits. 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 complete-pack count label. 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 ten game marks, two per complete pack:5 complete packs. Recount all 10. 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.

D75-R1 · Make pretend pair packs

Useful outcome

A complete-pack count label.

• 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 8 as the whole available collection and 2 sock-picture cards as the required size of each complete pack. Take exactly 2 at a time into a new named pack; check that size before calling it complete. There are 4 complete packs and 0 whole sock-picture cards aside. 2+2+2+2=8; The requested number 4 names packs; 2 names members in one pack. A leftover group of fewer than 2 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

D75-R2 · Make little page packs

Useful outcome

A complete-pack count label.

• 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 15 as the whole available collection and 3 page 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 0 whole page cards aside. 3+3+3+3+3=15; 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

D75-R3 · Make four-card corner kits

Useful outcome

A complete-pack count label.

• 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 12 as the whole available collection and 4 corner cards as the required size of each complete pack. Take exactly 4 at a time into a new named pack; check that size before calling it complete. There are 3 complete packs and 0 whole corner cards aside. 4+4+4=12; The requested number 3 names packs; 4 names members in one pack. A leftover group of fewer than 4 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

Whole introductory sources

C09 · Complete repair kits

C10 · Pairs for a collection

Six-heading paper for C09

Complete written optional read-aloud

Full optional two-session project