Progression Chart- Reception to Year 7 FRACTIONS, DECIMALS

Progression Chart- Reception to Year 7
FRACTIONS, DECIMALS, PERCENTAGES, RATIO & PROPORTION
Reception
Recognising &
naming
fractions
Year 1
Fold shapes in half to
make symmetrical
patterns (sh/sp)
Year 2
Begin to recognise and
find ½ and ¼ of shapes
and a small number of
objects
Begin to recognise that
2 halves or 4 quarters
make 1 whole.
Year 3
Recognise and name
unit fractions eg ⅓ ,
⅛ , ¼, ½ and use to
find fractions of
shapes and numbers
Begin to recognise
simple fractions that
are several parts of a
whole eg ¾, ⅔
Year 4
Use fraction notation
Find fractions such as ⅔
¾ of shapes
Recognise simple
fractions that are
several parts of a
Year 5
Year 6
Use fraction notation
including mixed numbers
and vocabulary of
numerator and
denominator
Recognise the
relationship between
fractions eg 1/10 is ten
times 1/100 & 1/16 is
half of 1/8
Year 7
Change an improper
fraction to a mixed
number
whole eg ⅔ and ⅝ and
mixed numbers such as
5¾
Estimate a simple
fraction
Equivalence
of fractions
Begin to recognise that
2 quarters and one half
are equivalent
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
Identify two simple
fractions with a total of
1
Comparing
and ordering
fractions
Operations
with fractions
Compare familiar
fractions eg know that
on a number line ½ lies
between¼ and ¾
Order simple fractions
eg decide if fractions
eg ⅝ and ⅜ are greater
than or less than
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
½
Begin to relate
fractions to division and
find simple fractions eg
½ ⅓ ¼ ⅛… of numbers
or quantities
Recognise when 2 simple
fractions are
equivalent, including
relating hundredths to
tenths ( eg 60/100 =
6/10)
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- Reception to Year 7
FRACTIONS, DECIMALS, PERCENTAGES, RATIO & PROPORTION
Reception
Decimal
Notation
Year 1
Year 2
Year 3
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..’
Downloaded from www.wiganschoolsonline.net
Wigan Numeracy Centre- Autumn Term 2004
Order a set of numbers
or measures all with the
same number of decimal
places
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