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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)

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Ce que l'enfant saura faire ensuite

  • 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

1 · Lis

You already know multiplication and division are connected. When you see 32 ÷ 8, you can turn it into a multiplication question instead: what number times 8 gives 32?

Tap to fill the grid, one at a time: 8 rows of 4.
8 rows of 4 make 32. So 8 × 4 = 32, which means 32 ÷ 8 = 4.
Try it together

Zara needs to solve 32 ÷ 8. Instead of guessing, she thinks of her times tables: 8 × 4 = 32. So the missing number is 4, and 32 ÷ 8 = 4.

Multiplication and division are inverse operations: each one undoes the other. 5 × 4 = 20, and 20 ÷ 5 takes you back to 4. So you can turn any division into a multiplication with a missing number. 20 ÷ 5 becomes 5 × ? = 20. Then use a times table fact you know to fill the gap.

Division finds the missing factor: turn ÷ into × with a blank, then use your times tables to fill it in.

Readings 'Every division has a multiplication partner', 'Sharing or grouping' and 'Splitting a big division' are original to this dataset. All 9 extra questions are original to this dataset.

2 · Regarde

En anglais

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Imprimer une fiche d'exercicesFormat A4, avec une page de corrigés pour les adultes. Sans écran, sans internet.

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Puis s'entraîner

17 questions attendent derrière cette leçon, chacune avec sa réponse expliquée. Chaque réponse nourrit le ciel : les étoiles s'allument à mesure qu'elles sont apprises, et pâlissent quand vient le moment de revenir.

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Division as Unknown Factor · Mathematics, ages 8 to 9 · LightMySky