Division as Unknown Factor
Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)
Lesson
Set out your lesson
Practise the bounded task in Division as Unknown Factor; see exact limits before inferring broader coverage.
Before teaching
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Knows some equal-group multiplication facts; counters or dots may support the model.
Exact directed source edges retained; earlier authorship is not learner attainment.
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Practise the bounded task in Division as Unknown Factor; see exact limits before inferring broader coverage.
Practise the bounded task in Division as Unknown Factor; see exact limits before inferring broader coverage.
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
Mental Division Strategy
Before you open · source notes
A mental division strategy supports division as an unknown factor. Not every fraction quotient.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to rewrite a division as a missing-factor multiplication and solve.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Mental Division Strategy.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
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 8–13
Standards