Fractions Decimals Percentages And Ratio
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1
2Fractions, 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)
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