Progression Chart- Year 3 to Year 7
FRACTIONS, DECIMALS, PERCENTAGES, RATIO & PROPORTION
Year 3
Recognising &
naming
fractions
Recognise and name unit fractions
Year 4
Year 6
Recognise the relationship between
fractions eg 1/10 is ten times 1/100 &
1/16 is half of 1/8
fractions of shapes and numbers
Find fractions such as ⅔ ¾ of shapes
Use fraction notation including mixed
numbers and vocabulary of numerator
and denominator
Begin to recognise simple fractions
that are several parts of a whole eg ¾,
Recognise simple fractions that are
Change an improper fraction to a
mixed number
eg ⅓ , ⅛ , ¼, ½ and use to find
⅔
Use fraction notation
Year 5
Year 7
several parts of a whole eg ⅔ and
⅝ and mixed numbers such as 5¾
Estimate a simple fraction
Equivalence
of fractions
Begin to recognise simple equivalent
fractions eg. 5/10, and ½ , 5/5 and 1
whole.
Recognise
equivalence of simple fractions eg
fractions equivalent to
¼, ½ ¾
Recognise when 2 simple fractions are
equivalent, including relating
hundredths to tenths ( eg 60/100 =
6/10)
Change a fraction such as 13/8 to the
equivalent mixed number and vice
versa
Order a set of fractions and position
on a number line
Order fractions by converting using a
common denominator & position on a
number line
Relate fractions to division & use
division to find simple fractions
including 10ths & 100ths, of numbers
and quantities
Reduce fractions to simplest form
by cancelling common factors in the
numerator/denomi
Identify two simple fractions with a
total of 1
Comparing
and ordering
fractions
Compare familiar fractions eg know
that on a number line ½ lies between¼
and ¾
Operations
with fractions
Order simple fractions eg decide if
fractions eg ⅝ and ⅜ are greater than
or less than
½
Begin to relate fractions to division
and find simple fractions eg ½ ⅓ ¼
⅛… of numbers or quantities
Use a fraction as operator to find
fractions including 10ths & 100ths of
numbers or quantities
Downloaded from www.wiganschoolsonline.net
Wigan Numeracy Centre- Autumn Term 2004
Use the equivalence of fractions,
decimals and percentages in
describing proportions and convert
between them
( eg to order fractions)
Progression Chart- Year 3 to Year 7
FRACTIONS, DECIMALS, PERCENTAGES, RATIO & PROPORTION
Year 3
Decimal
Notation
Year 4
Year 5
Year 6
Year 7
Understand decimal notation and place
value for 10ths, 100ths and use in
context eg order amounts of money,
convert a sum of money such as
£13.25 to pence, or a length such as
125cm to metres
Use decimal notation for 10ths &
100ths, know what each digit
represents in a number with up to 2
decimal places
Rounding of
decimals
Round a sum of money to the nearest
pound
Round a number with one or two
decimal places to the nearest
integer
Round a number with 2 decimal places
to the nearest tenth or nearest whole
number
Equivalence
between
fractions and
decimals
Recognise the equivalence between
the decimal and fraction forms of one
half and one quarter, and tenths such
as 0.3
Relate fractions to their decimal
representation ie recognise
equivalence between decimal and
fraction forms and tenths and
hundredths
Recognise equivalence between
decimal and fraction forms of ½, ¼ ¾ …
and tenths, hundredths and
thousandths
Begin to convert a fraction to a
decimal using division
Use the equivalence of fractions,
decimals and percentages in
describing proportions and convert
between them
Begin to understand % as the number
of parts in every 100, find simple % of
small whole numbers, quantities eg
25% of £12; express ½ ¼ ¾… 10ths &
100ths as %
Understand % as the number of
parts in every 100,
Express simple fractions, 10ths &
100ths as percentages
Find simple % of small whole
numbers or quantities
Eg 10% of £500
Find fractions and percentages of
quantities
Solve simple problems using ideas of
ratio & proportion
eg ‘one for every…’ ‘ one in every..’
Solve simple problems involving ratio
and proportion
Understand the relationship between
ratio and proportion
Use ratio and proportion to solve
simple problems
Percent-ages
Ratio and
Proportion
Begin to use ideas of simple
proportion eg ‘one for every…’ ‘ one in
every..’
Order a set of numbers or measures
all with the same number of decimal
places
Downloaded from www.wiganschoolsonline.net
Wigan Numeracy Centre- Autumn Term 2004
Use decimal notation for 10ths &
100ths in calculations and 10ths,
100ths and 1000ths when recording
measurements
Order a set of numbers or measures
with up to 3 decimal places
Give a decimal fraction lying between
2 others
Know what each digit represents in a
number with up to 3 decimal places