N30 · Full next teaching
Previous target
V08B
Target
Communicate a plan that satisfies the whole brief
Flexible time
About 8–12 minutes, or shorter visits; unpiloted suggestion.
Prepare
Use scrap paper, group labels and appropriate large counters, or dictate a complete model to a scribe. Work at a table; no purchase, household data or public performance. Keep teacher worked material separate from blank learner spaces.
Complete new neutral task
For a fictional quiet game session, need exactly 24 items. A packs 6 for a made-up $15; B packs 8 for $18. One $6 fee for either plan; budget $70. Whole packs, no extras. Choose lower total cost among valid plans; if tied, choose fewer packs. Give a useful organiser note.
Specific criterion
Check quantity, pack restrictions, fixed fee and budget, then give a usable decision and stated assumptions.
Whole teaching sequence
Read the new brief and ask which quantity is missing. Name units before any calculation. Highlight each constraint in the supplied brief. Give quantity and cost their own check rows. Add the fee once to each option, compare with the budget, then write a short note that another organiser could act on.
Build the supplied new example together. Teacher explanation: A:4 packs,24 items,$66,$4 left. B:3 packs,24 items,$60,$10 left. Choose B. State exact-quantity and one-off-fee assumptions; estimates check, exact costs decide. Ask the learner to point to the part of the model that supports each quantity. A cheap plan that supplies too few items does not solve the brief. If costs tie, the supplied tie-break purpose matters.
Remove the worked example. Give this changed task privately: Only the fee rises by $2 to $8, and the budget rises by $2 to $72. Recheck quantities, costs and amounts left. Offer a different response mode if needed without silently changing the mathematical criterion.
Supplied joint model
A:4 packs,24 items,$66,$4 left. B:3 packs,24 items,$60,$10 left. Choose B. State exact-quantity and one-off-fee assumptions; estimates check, exact costs decide.
Equivalent offers
Make/draw using original blank group frames.
Explain/sign/point or dictate reasoning.
Type a private note or use paper; a device is optional.
Private changed task after removing model
Only the fee rises by $2 to $8, and the budget rises by $2 to $72. Recheck quantities, costs and amounts left.
Staff changed-task possibility
Quantity and pack counts unchanged. Both costs and budget rise by $2, so each budget difference and the original decision stay the same.
Observe and decide next teaching
Check the changed response against the named criterion, not against speed, spelling or a preferred-looking diagram. Record the exact support given. If the meaning is still unclear, revisit one group or one constraint with a smaller supplied number, record the change and return later to the original demand.