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Use equivalence and compensation to simplify and solve subtraction problems

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Why this why now

Having previously explored equivalence and compensation in addition, pupils now explore these in the context of subtraction where they will consider constant difference and how increasing or decreasing the whole (minuend) and known part (subtrahend) affects the difference. They will apply known facts and strategies to solve problems in a range of contexts. This will prepare them for solving problems with larger numbers and to apply equivalence in different contexts.

Prior knowledge requirements

  • Understand inverse operations and balancing
  • Use number bonds and rounding to adjust calculations
  • Rearrange and simplify expressions using known facts

Threads

Why this why now

Having previously explored equivalence and compensation in addition, pupils now explore these in the context of subtraction where they will consider constant difference and how increasing or decreasing the whole (minuend) and known part (subtrahend) affects the difference. They will apply known facts and strategies to solve problems in a range of contexts. This will prepare them for solving problems with larger numbers and to apply equivalence in different contexts.

Prior knowledge requirements

  • Understand inverse operations and balancing
  • Use number bonds and rounding to adjust calculations
  • Rearrange and simplify expressions using known facts

Use equivalence and compensation to simplify and solve subtraction problems

In this unit pupils will explain how increasing or decreasing the minuend affects the difference and solve subtraction calculations mentally by using known facts explaining how adjusting the minuend can make mental calculation easier.

10 lessons in unit