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Apply the distributive law to multiplication

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Threads

Why this why now

This unit explores the use of common factors in two-part problems to solve them efficiently. Pupils identify when there is a common factor and they can apply the distributive law and when there isn't. They also use the strategy to break down a factor in order to calculate products beyond their times table knowledge. This informal mental strategy will underpin more formal methods of multiplication in the future.

Prior knowledge requirements

  • Recall multiplication facts to 12 _ 12
  • Use arrays and grouping to model multiplication
  • Partition numbers to simplify calculations

Threads

Why this why now

This unit explores the use of common factors in two-part problems to solve them efficiently. Pupils identify when there is a common factor and they can apply the distributive law and when there isn't. They also use the strategy to break down a factor in order to calculate products beyond their times table knowledge. This informal mental strategy will underpin more formal methods of multiplication in the future.

Prior knowledge requirements

  • Recall multiplication facts to 12 _ 12
  • Use arrays and grouping to model multiplication
  • Partition numbers to simplify calculations