Fractions, decimals, percentages and ratio
(FDPR)
Level 1:
 To begin to use the fraction, one-half, e.g.
o halve shapes including folding paper shapes, lengths of string
o put water in a clear container so that it is about ‘half-full’
o halve an even number of objects.
Level 2:
 To begin to use halves and quarters, e.g.
o use the concept of a fraction of a small quantity in a practical context such as sharing sweets between two and
getting ½ each, among four and getting ¼ each.
o work out halves of numbers up to 20 and beginning to recall them
 To be able to relate the concept of half of a small quantity to the concept of half of a shape, e.g.
o shade one half or one quarter of a given shape including those divided into equal regions.
Level 3:
 To be able to use simple fractions that are several parts of a whole and recognise when two simple fractions are equivalent,
e.g.
o Read and write proper fractions (e.g. 3/7, 9/10, interpreting the denominator as the parts of a whole and the
numerator as the number of parts
o understand and use unit fractions such as 1/2, 1/4, 1/3, 1/5, 1/10 and find those fractions of shapes, sets of objects
and quantities (e.g. ½, ¼ of 12 litres)
o recognise, shade and record fractions that are several parts of the whole such as 3/4, 2/5
o recognise some fractions that are equivalent to ½ and use diagrams to represent and identify them (leading to
other equivalents with single numerator)... leading to recognise simple equivalence between fractions, decimals and
percentages (1/2, 1/4, 1/10, ¾, 1/100)
o identify mixed numbers on a number line
o identify pairs of fractions that total 1
 To begin to use decimal notation e.g.
o order decimals with one dp, or two dp (starting with context of money)
o know that £3.06 equals 306p
o partition decimals with tenths and hundredths
o position one-place and two-place decimals on a number line
 To be able to add and subtract three digit numbers using written method e.g. (NC)
o Add and subtract decimals in the context of money, where bridging is not required
Level 4:
 To be able to recognise approximate proportions of a whole and use simple fractions and percentages to describe these e.g.
o recognise simple equivalence between fractions, decimals and percentages (1/2, 1/4, 1/10, ¾, 1/100)
o identify equivalent fractions
o relate fractions to their decimal representations
o convert mixed numbers to improper fractions and vice versa
o find fractions of numbers, quantities or shapes (e.g. 1/5 of 30 plums, 3/8 of a 6x4 rectangle)
 To be able to order decimals to three decimal places
 Understand percentage as the number of parts in every 100 and express tenths and hundredths as percentages
 To be able to recognise and describe number patters e.g. (NC)
o continue sequences involving decimals
o extend sequences beyond zero when counting backwards – relate their number to a number line
 To be able to use inverse operations e.g. (NC)
o use a calculator and inverse operations to find missing numbers, including decimals
 To begin to understand simple ratio e.g.
o use the vocabulary of ratio (e.g. ‘there are 2 red beads to every 3 blue beads’ or ‘2 beads in every 5 beads are red’)
o estimate a proportion such as ‘about one quarter of the apples in the box are green’
o leading to... use sequences to scale numbers up or down... and...
o ..solve problems involving proportions of quantities (e.g. decrease quantities in a recipe designed to feed six people)
 To be able to add and subtract decimals to two places (NC)
 To be able to multiply a simple decimal by a single digit e.g. (NC)
o calculate 36.2 × 8
 Find fractions using division (e.g. 1/100 of 5kg), and percentages of numbers and quantities (e.g. 10%, 5% and 15% of £80)
(NC)
Level 5:
 To be able to use equivalence between fractions, e.g.
o convert fractions such as 2/5 into tenths or hundredths and express them as decimals or percentages and vice versa
 To be able to reduce a fraction to its simplest form by cancelling common factors
 To be able to order fractions and decimals, e.g.
o order fractions with different denominators
o order decimals that have a mixture of one, two or three decimal places
 To be able to use understanding of place value to multiply and divide decimals by 10, 100 and 1000 and explain the effect
(NC) (PV)
 To be able to round decimals to the nearest decimal place (PV)
 To be able to understand simple ratio
 Solve simple problems involving ratio and direct proportion e.g.
o Begin to use multiplication rather than trial and improvement to solve ratio problems
 To be able to use all four operations with decimals to two places, e.g.
o add and subtract numbers that do not have the same number of decimal places
o multiply or divide decimal numbers by a single digit, e.g. 31.62 × 7
 To be able to use a calculator where appropriate to calculate fractions/percentages of quantities/measures, e.g.
o find fractions of quantities such as 3/8 of 980
o find percentages such as 15% of 360g
 To be able to use known facts, place value and knowledge of operations to calculate e.g. (NC)
o calculate decimal complements to 10 or 100, such as 100 – 63.8
o calculate simple fractions or percentages of a number/quantity (3/8 of 400g or 60% of £300 or express £400 as a
percentage of £1000)