SubjectNest · Work it out. Make a useful note.

Year 4 Mathematics · Term 2 · Resource weeks 11–12 · sequence days 51–60

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Borrow a friendly number, then put it backYear 4 Maths · T2 W11–12 · Teacher · Teacher / Days / Day 53

Full educator lesson · Pupil invitation · Empty work mat · Optional home activity · Larger project · Written read-together script · Additive Work Bench

Access

Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.

Adult model

398 + 267 = 400 + 267 − 2 = 665. We added two extra in the friendly-number step, so remove two from 667. About 400 + 300 = 700 is an estimate, not this exact calculation.

Child direction

Would moving to a nearby round number make this job easier? Pick one route. Show what the numbers mean, try a way, then check one result. You can stop after a useful part.

Common tangle

the adjustment goes the wrong way; check the roles and equivalent quantities, rather than memorising a printed answer.

Day

53

Different guided practice

For fictional prompt cards, 497 + 186 = 500 + 186 − 3 = 683. Contrast the wrong 686: it counts the three extra cards. Invite a different check: 497 + 180 + 6.

Check and teach the entry relationship

Ask why 39 + 12 can be worked as 40 + 12 − 1. Model with a labelled extra mark if needed. Teach the compensation before rounding two large inputs.

Hook

Would moving to a nearby round number make this job easier?

Materials

Broad paper, labelled place-value/part-whole/number-line alternatives as suitable; optional familiar safe counters; usual communication. No hundreds of loose marks, purchases or physical handling required. Keep adult model and own work separate.

Next ordinary teaching

If the adjustment goes the wrong way, compare 19 + 6 with 20 + 6 − 1 using marks. Guide 29 + 14, then invite 49 + 17 = 66.

Complete fictional source

An invented sticker design has 398 blue stickers and 267 plain stickers. Find the exact total.

One own invitation

Work 299 + 146 exactly using a friendly number, and name the adjustment.

Partial curriculum opportunity

  1. AC9M4N06

  2. AC9M4N07 partial

Purpose

Use exact compensation and distinguish it from estimation.

Routes

  1. Access

    Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.

    Complete task

    An invented puzzle tray joins 49 and 27 pieces. Use fifty carefully.

    Entry or access

    Draw the one added extra separately.

    Id

    A

    Title

    Puzzle pieces

    After own work: adult practice possibility

    76: 50 + 27 − 1.

  2. Access

    Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.

    Complete task

    Find 398 + 267 and compare compensation with chunks.

    Entry or access

    Explain which quantity was changed.

    Id

    B

    Title

    Sticker plan

    After own work: adult practice possibility

    665 exactly; 700 is a coarse estimate.

  3. Access

    Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.

    Complete task

    An imaginary exhibit game counts 1998 + 367 slips. Compare exact compensation and a nearest-hundred estimate.

    Entry or access

    This fictional game is not a museum programme or attendance fact.

    Id

    C

    Title

    Museum-copy game

    After own work: adult practice possibility

    2365 exact; 2000 + 400 ≈ 2400, 35 above exact.

Session stages

  1. Instruction

    Would moving to a nearby round number make this job easier? Read the source. Ask what the numbers count and the wanted quantity. Ask why 39 + 12 can be worked as 40 + 12 − 1. Model with a labelled extra mark if needed. Teach the compensation before rounding two large inputs.

    Minutes suggestion

    5

    Stage

    Meet the job

  2. Instruction

    398 + 267 = 400 + 267 − 2 = 665. We added two extra in the friendly-number step, so remove two from 667. About 400 + 300 = 700 is an estimate, not this exact calculation. Show on separate adult paper. Pause after one transformation; invite explanation before showing the next.

    Minutes suggestion

    10

    Stage

    Teach one relationship

  3. Instruction

    For fictional prompt cards, 497 + 186 = 500 + 186 − 3 = 683. Contrast the wrong 686: it counts the three extra cards. Invite a different check: 497 + 180 + 6. Offer one complete route below, not all three as a quota. Let the learner select a representation and pause or switch.

    Minutes suggestion

    15

    Stage

    Guide then choose

  4. Instruction

    Work 299 + 146 exactly using a friendly number, and name the adjustment. Receive an available response before staff key. If the adjustment goes the wrong way, compare 19 + 6 with 20 + 6 − 1 using marks. Guide 29 + 14, then invite 49 + 17 = 66.

    Minutes suggestion

    5

    Stage

    Receive and choose tomorrow

What to look for

The nearby number, compensating adjustment and exact result are linked; rounding alone is not an exact proof.

After own work: staff possibility

445: 300 + 146 − 1; the added extra one is removed.

Status

Proposed 35-minute shape, unpiloted and freely reorderable; resource day not school calendar requirement.

Title

Borrow a friendly number, then put it back

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