Division as Unknown Factor

MathematicsMultiplication & DivisionAges 8–9

Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)

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Teaching Table

Set out your lesson

Practise the bounded task in Division as Unknown Factor; see exact limits before inferring broader coverage.

Activity

Knows some equal-group multiplication facts; counters or dots may support the model.

Policy

Exact directed source edges retained; earlier authorship is not learner attainment.

Materials

These supplied stage cards
Scrap paper and pencil; oral/pointing response where appropriate

Sequence

Read readiness and decide on support without treating prerequisite authoring as learner readiness.
Open Show first and explain its model.
Use Guided Try with support and its separate adult key.
Close Show and guided keys before Try, unless this Try is explicitly supported.
Reflect on an actual attempt, including help used.

No Printer

Use the supplied screen cards; copying the exact task to paper is optional, not required.

Privacy

Use only invented scenarios and optional anonymous local notes. Do not request names, photos, family finances, medical data, accounts or uploads. Stop uncomfortable physical activity.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view. Retain an earlier model only when the current step supplies it as context.

Teaching limits and safe use

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

Finite whole-number facts; not division with remainders or established fact fluency.

Use only invented scenarios and optional anonymous local notes. Do not request names, photos, family finances, medical data, accounts or uploads. Stop uncomfortable physical activity.

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Entire curriculum

1590 concepts · 8 subjects

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Teaching approaches

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1 approach

Selected Default Gakuva

Practise the bounded task in Division as Unknown Factor; see exact limits before inferring broader coverage.

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Learning resources

External links for extra practice. They do not replace Gakuva’s teaching approach.

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Check understanding

Explain that 32 ÷ 8 = ? is the same as 8 × ? = 32
Use a known multiplication fact to find a division answer
Describe the relationship between multiplication and division as inverse operations

“Can your child work out '32 ÷ 8' by asking 'what do I multiply 8 by to get 32?' — using times table knowledge rather than a separate division method?”

Curriculum record

Type: Conceptual
Subject: Mathematics
Domain: Multiplication & Division
Age range: Ages 8–9

Standards

ccss-math:3.OA.6