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MathematicsNumber Representation & Place ValueAges 8–9

Place Value Problem-Solving

Solve number and practical problems involving place value with increasingly large positive numbers

Lesson

Set out your lesson

Use place value to justify choices in a number puzzle and a practical comparison.

Before teaching

Use this short check, then start teaching.

Activity

Learner readiness not observed. Ask which is greater, 4,208 or 4,820, and why. Revisit four-digit place value before puzzles if needed.

Policy

Check learner readiness separately; the existence of a prerequisite lesson is not evidence of attainment.

Printer, credit, and teaching notes

Check learner readiness separately; the existence of a prerequisite lesson is not evidence of attainment.

Estimated Minutes

20–30; split if useful

Sequence

  • Use S for the model, G for supported practice and T for a fresh attempt.

  • Optional pencil and scrap paper only. All scenarios, charts and blanks are supplied.

  • Put S, G and all adult keys away before T. Open only the T learner sheet.

  • Discuss the reasoning; use the adult key afterward and record only actual support and responses.

No Printer

No printer, purchases, cutting, login or installation required. Use one sheet on screen at a time; answer aloud or write only responses on scrap paper.

Safety

Pause if tired or frustrated. Fictional contexts need no personal information, travel, measuring equipment or real purchases. Participation is optional.

Access

Read prompts aloud without explaining answers; allow pointing, speech, zoom or adult scribing. Record adaptations separately from independent written evidence.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view.

Next: Show

Adult extras
Teaching limits and safe use

These are finite task opportunities, not proof of mastery. Record what was attempted and what support was used.

  • No learner results or lesson efficacy have been established.

  • This META node is treated as a teachable strategy lesson, not exempted. A small set of fictional number contexts cannot establish general problem-solving.

Record actual responses, assistance and access mode; never invent observations or infer mastery.

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Teaching approaches

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1 approach

Selected Default Gakuva

Use place value to justify choices in a number puzzle and a practical comparison.

Use place value to justify choices in a number puzzle and a practical comparison.

Family records and proof options

Keep a record of your learning

Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.

View learner plans ($12/mo per learner) See sample family archive

Learning resources

Extra practice links — they do not replace Gakuva’s teaching approach.

BBC Bitesize · Practice link — not the full lesson

KS2 Maths

Open practice (new tab)
Before you open · source notes

KS2 Maths supports Place Value Problem-Solving. An adult previews and guides; this is a learning page, not a scored quiz.

Free educational page, no sign-in required for the tested path.

Before you open

Ask the learner one fact they learned and one question they still have.

Opening this link does not save learning or assess mastery.

Source, access and review notes

Public BBC Bitesize page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.

BBC Bitesize. “KS2 Maths.” External page; Gakuva does not copy, host, embed, or redistribute materials.

Unknown — link only

Check understanding

  • Solve a problem requiring rounding, comparing, or ordering numbers beyond 1000
  • Apply place-value knowledge in a practical context (e.g. population figures, distances)
  • Explain the strategy used, referencing place-value understanding
“If your child is asked 'what is the largest 4-digit even number you can make from the digits 3, 7, 1, and 8?', can they work through it systematically and give you an answer?”

Curriculum record

Type
Meta
Subject
Mathematics
Domain
Number Representation & Place Value
Age range
Ages 8–9

Standards

uk-nc-2013:Ma/KS2/Y4/NPV/8