National Curriculum Resource Tool

Materials to support teachers and schools in embedding the National Curriculum

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  • Year 1: Fractions (including decimals and percentages)

    • recognise, find and name a half as one of two equal parts of an object, shape or quantity
    • recognise, find and name a quarter as one of four equal parts of an object, shape or quantity

  • Year 2: Fractions (including decimals and percentages)

    • recognise, find, name and write fractions ⅓, ¼, 2⁄4 and ¾ of a length, shape, set of objects or quantity
    • write simple fractions e.g. ½ of 6 = 3 and recognise the equivalence of two quarters and one half.

  • Year 3: Fractions (including decimals and percentages)

    • count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10
    • recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
    • recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators
    • recognise and show, using diagrams, equivalent fractions with small denominators
    • add and subtract fractions with the same denominator within one whole [for example, 5⁄7 + 1⁄7 = 6⁄7 ]
    • compare and order unit fractions, and fractions with the same denominator
    • solve problems that involve all of the above.

  • Year 4: Fractions (including decimals and percentages)

    • recognise and show, using diagrams, families of common equivalent fractions
    • count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.
    • solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number
    • add and subtract fractions with the same denominator
    • recognise and write decimal equivalents of any number of tenths or hundredths
    • recognise and write decimal equivalents to ¼, ½, ¾
    • find the effect of dividing a one- or two-digit number by 10 and 100, identifying the 
value of the digits in the answer as ones, tenths and hundredths
    • round decimals with one decimal place to the nearest whole number
    • compare numbers with the same number of decimal places up to two decimal places
    • solve simple measure and money problems involving fractions and decimals to two decimal places.

  • Year 5: Fractions (including decimals and percentages)

    • compare and order fractions whose denominators are all multiples of the same number
    • identify, name and write equivalent fractions of a given fraction, represented visually,including tenths and hundredths
    • recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements >1 as a mixed number[for example,2⁄5+4⁄5=6⁄5= 11⁄5]
    • add and subtract fractions with the same denominator and denominators that are multiples of the same number
    • multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
    • read and write decimal numbers as fractions [for example, 0.71 =71⁄100]
    • recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
    • round decimals with two decimal places to the nearest whole number and to one decimal place
    • read, write, order and compare numbers with up to three decimal places
    • solve problems involving number up to three decimal places
    • recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal
    • solve problems which require knowing percentage and decimal equivalents of 1⁄2, 1⁄4,1⁄5, 2⁄5 and those fractions with a denominator of a multiple of 10 or 25.

  • Year 6: Fractions (including decimals and percentages)

    • use common factors to simplify fractions; use common multiples to express fractions in the same denomination
    • compare and order fractions, including fractions >1
    • add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
    • multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, ¼ × ½ = 1⁄8]
    • divide proper fractions by whole numbers [for example, 1⁄3 ÷ 2 = 1⁄6]
    • associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3⁄8]
    • identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places
    • multiply one-digit numbers with up to two decimal places by whole numbers
    • use written division methods in cases where the answer has up to two decimal places.
    • solve problems which require answers to be rounded to specified degrees of accuracy
    • recall and use equivalences between simple fractions, decimals and percentages including in different contexts.