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Addition and Subtraction

Year 1

 

Learning objectives:

  • read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs
  • represent and use number bonds and related subtraction facts within 20
  • add and subtract one-digit and two-digit numbers to 20, including zero
  • solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = – 9.

Year 2

 

Learning objectives:

  • solve problems with addition and subtraction:
    • using concrete objects and pictorial representations, including those involving numbers, quantities and measures
    • applying their increasing knowledge of mental and written methods
  • recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100
  • add and subtract numbers using concrete objects, pictorial representations, and mentally, including:
    • a two-digit number and ones
    • a two-digit number and tens
    • two two-digit numbers
    • adding three one-digit numbers
  • show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot
  • recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.

Year 3

 

Learning objective:

  • add and subtract numbers mentally, including:
    • a three-digit number and ones
    • a three-digit number and tens
    • a three-digit number and hundreds
  • add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction
  • estimate the answer to a calculation and use inverse operations to check answers
  • solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

Year 4

 

Learning objectives:

  • add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
  • estimate and use inverse operations to check answers to a calculation
  • solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.

Year 5

 

Learning objectives:

  • add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
  • add and subtract numbers mentally with increasingly large numbers
  • use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
  • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.

Year 6 

 

Learning objectives:

  • perform mental calculations, including with mixed operations and large numbers
  • use their knowledge of the order of operations to carry out calculations involving the four operations
  • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
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