N14 · Full next teaching

Previous target

V04B

Target

Connect an efficient strategy to a multiplicative model

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 tokens for game packs, 4 groups need 18 items each. Find the total using an efficient strategy and explain how its parts appear in the model.

Specific criterion

Partition, double or otherwise use suitable facts and explain why each intermediate quantity belongs to the situation.

Whole teaching sequence

Read the new brief and ask which quantity is missing. Name units before any calculation. Split the amount in every group into ten and the remaining ones. Point to all the tens, then all the ones. Join those two totals; alternatively build and explain a valid doubling route.

Build the supplied new example together. Teacher explanation: 4 × 18 = 4 × 10 + 4 × 8 = 40 + 32 = 72 items. Another valid explained strategy is acceptable. Ask the learner to point to the part of the model that supports each quantity. Multiplying only the tens and adding the ones once loses the ones from the other groups.

Remove the worked example. Give this changed task privately: Keep 4 groups, with 19 items in each. Use the earlier strategy to find the new total and explain why it changes by 4. Offer a different response mode if needed without silently changing the mathematical criterion.

Supplied joint model

4 × 18 = 4 × 10 + 4 × 8 = 40 + 32 = 72 items. Another valid explained strategy is acceptable.

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

Keep 4 groups, with 19 items in each. Use the earlier strategy to find the new total and explain why it changes by 4.

Staff changed-task possibility

4 × 19 = 40 + 36 = 76 items.

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.