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Place Value

Foundation Stage 2

 

Learning objectives:

  • have a deep understanding of number to 10, including the composition of each number
  • subitise (recognise quantities without counting) up to 5
  • automatically recall (without reference to rhymes, counting or other aids) number bonds up to 5 (including subtraction facts) and some number bonds to 10, including double facts.

Year 1

 

Learning objectives:

  • count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number
  • count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens
  • given a number, identify one more and one less
  • identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least
  • read and write numbers from 1 to 20 in numerals and words 

Year 2

 

Learning objectives:

  • count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward
  • recognise the place value of each digit in a two-digit number (tens, ones)
  • identify, represent and estimate numbers using different representations, including the number line
  • compare and order numbers from 0 up to 100; use and = signs
  • read and write numbers to at least 100 in numerals and in words
  • use place value and number facts to solve problems.

Year 3

 

Learning objectives:

  • count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number
  • recognise the place value of each digit in a three-digit number (hundreds, tens, ones)
  • compare and order numbers up to 1000
  • identify, represent and estimate numbers using different representations
  • read and write numbers up to 1000 in numerals and in words
  • solve number problems and practical problems involving these ideas.

Year 4

 

Learning objectives:

  • count in multiples of 6, 7, 9, 25 and 1000
  • find 1000 more or less than a given number
  • count backwards through zero to include negative numbers
  • recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
  • order and compare numbers beyond 1000
  • identify, represent and estimate numbers using different representations
  • round any number to the nearest 10, 100 or 1000
  • solve number and practical problems that involve all of the above and with increasingly large positive numbers
  • read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.

Year 5

 

Learning objectives:

  • read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit
  • count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000
  • interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero
  • round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000
  • solve number problems and practical problems that involve all of the above
  • read Roman numerals to 1000 (M) and recognise years written in Roman numerals

Year 6

 

Learning objectives:

  • read, write, order and compare numbers up to 10 000 000 and determine the value of each digit
  • round any whole number to a required degree of accuracy
  • use negative numbers in context, and calculate intervals across zero
  • solve number and practical problems that involve all of the above
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