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Doubling, halving, quotative and partitive division

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Why this why now

This unit builds on knowledge of times tables and understanding of doubling and halving to develop understanding of the different structure of division: quotative (grouping) and partitive (sharing). Pupils also look for patterns in the 2-, 5- and 10-times tables and explore rules of divisibility based on the patterns. This is developed in future units and applied to larger numbers and other times tables.

Prior knowledge requirements

  • Recall doubles and halves of numbers up to 20
  • Use sharing and grouping with small quantities
  • Understand division as the inverse of multiplication

Threads

Why this why now

This unit builds on knowledge of times tables and understanding of doubling and halving to develop understanding of the different structure of division: quotative (grouping) and partitive (sharing). Pupils also look for patterns in the 2-, 5- and 10-times tables and explore rules of divisibility based on the patterns. This is developed in future units and applied to larger numbers and other times tables.

Prior knowledge requirements

  • Recall doubles and halves of numbers up to 20
  • Use sharing and grouping with small quantities
  • Understand division as the inverse of multiplication

Doubling, halving, quotative and partitive division

In this unit pupils will double and halve 2-digit numbers. They will explore division as both grouping and sharing and learn to use times table facts to find the quotient for 2x 5x 10x tables.

15 lessons in unit