A game everyone can start · complete teacher lesson
Purpose
Model equal sharing when the number of recipients is given.
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 the two game places visible and count a fresh four-card collection once. Ask what it would mean for both to have the same number; demonstrate one card to each, then another round if needed. Do not treat two places as two cards.
When a confusion appears
If one place gets extra, pair one member from each group and locate the unmatched member. Use a new six-card/two-place collection, rather than correcting a held response into an independent sample.
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 the two game places visible and count a fresh four-card collection once. Ask what it would mean for both to have the same number; demonstrate one card to each, then another round if needed. Do not treat two places as two cards.
Teach a whole different example · 3–9
Eight whole game cards belong to one pretend game. Share all eight equally between two players. How many cards does each player receive? After the first chosen attempt, demonstrate: Name 8 as the whole collection and 2 as the known number of recipients. Deal one game card to each recipient in a complete round, or make a different equal-allocation model the child can explain. After 4 complete rounds each recipient has 4 game cards; 0 whole game 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 4 + 4=8. 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 Nine whole puppet cards are ready. Share them equally between three pretend puppet stations. How many cards go to each station? Discuss the change in purpose/quantities rather than presenting a shortcut answer.
Try a new source together · 9–15
Six new train-picture cards shared between two station kits; guided 3 each. 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 label for each pretend player. 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 eight flower-picture marks shared between two display places:4 each, check 4+4=8. 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.
D71-R1 · Set up two pretend animal displays
D71-R1
Six whole photo-free animal cards are shared equally between two displays. How many cards go to each?
Useful outcome
A label for each pretend player.
- 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 6 as the whole collection and 2 as the known number of recipients. Deal one photo-free animal card to each recipient in a complete round, or make a different equal-allocation model the child can explain. After 3 complete rounds each recipient has 3 photo-free animal cards; 0 whole photo-free animal 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 3 + 3=6. 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
D71-R2 · Set up three game places
D71-R2
Twelve whole game cards are shared equally between three players. How many cards does each player receive?
Useful outcome
A label for each pretend player.
- 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 collection and 3 as the known number of recipients. Deal one game card to each recipient in a complete round, or make a different equal-allocation model the child can explain. After 4 complete rounds each recipient has 4 game cards; 0 whole game 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 4 + 4 + 4=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.
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
D71-R3 · Give two paper theatres a fair start
D71-R3
Ten whole ticket marks are shared equally between two pretend theatres. How many marks go to each?
Useful outcome
A label for each pretend player.
- 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 ticket mark 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 ticket marks; 0 whole ticket marks 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
Whole introductory sources
C02 · Three quiet puppet stations