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Addition and Subtraction

NUMBER BONDS

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

represent and use number bonds and related subtraction facts within 20

recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100

 

 

 

 

MENTAL CALCULATION

add and subtract one-digit and two-digit numbers to 20, including zero

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

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 mentally with increasingly large numbers

 

perform mental calculations, including with mixed operations and large numbers

 

read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs

(appears also in Written Methods)

show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot

 

 

 

use their knowledge of the order of operations to carry out calculations involving the four operations

 

 

 

WRITTEN METHODS

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs

(appears also in Mental Calculation)

 

add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction

 

add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate

 

 

add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)

 

INVERSE OPERATIONS, ESTIMATING AND CHECKING ANSWERS

 

recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.

estimate the answer to a calculation and use inverse operations to check answers

 

estimate and use inverse operations to check answers to a calculation

 

use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy

 

use estimation to check answers to calculations and determine, in the context of a problem, levels of accuracy.

 

 

PROBLEM SOLVING

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as

7 = * - 9

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

solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction

 

solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

 

solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change (copied from Measurement)

Solve problems involving addition, subtraction, multiplication and division