2014 National Curriculum Maths Topics Reception Topics Autumn Term Spring Term Summer Term Number • Counts actions or objects that cannot be moved • Estimates how many objects they can see and checks by counting them • Uses the language of ‘more’ and ‘fewer’ to compare two sets of objects • Counts reliably with numbers from 1 to 5 then 1 to 10 then 1 to 20, places them in order and say which number is one more/ one less than a given number • Recognises some numerals of personal significance. • Selects the correct numeral to represent 1 to 5, then 1 to 10 objects • In practical activities and discussion, is beginning to use the vocabulary involved in adding and subtracting • Uses quantities and objects to add and subtract two single-digit numbers, and counts on or back to find the answer • Finds the total number of items in two groups by counting all of them • Records, using marks that they can interpret and explain. • Solve problems, including doubling, halving and sharing Number • Counts actions or objects that cannot be moved • Estimates how many objects they can see and checks by counting them • Uses the language of ‘more’ and ‘fewer’ to compare two sets of objects • Counts reliably with numbers from 1 to 20, places them in order and say which number is one more/ one less than a given number • Recognises some numerals of personal significance. • Selects the correct numeral to represent 1 to 5, then 1 to 10 objects • In practical activities and discussion, is beginning to use the vocabulary involved in adding and subtracting • Uses quantities and objects to add and subtract two single-digit numbers, and counts on or back to find the answer • Finds the total number of items in two groups by counting all of them • Records, using marks that they can interpret and explain. • Solve problems, including doubling, halving and sharing Number • Counts actions or objects that cannot be moved • Estimates how many objects they can see and checks by counting them • Uses the language of ‘more’ and ‘fewer’ to compare two sets of objects • Counts reliably with numbers from 1 to 20, places them in order and say which number is one more/ one less than a given number • Recognises some numerals of personal significance. • Selects the correct numeral to represent 1 to 5, then 1 to 10 objects • In practical activities and discussion, is beginning to use the vocabulary involved in adding and subtracting • Uses quantities and objects to add and subtract two single-digit numbers, and counts on or back to find the answer • Finds the total number of items in two groups by counting all of them • Records, using marks that they can interpret and explain. • Solve problems, including doubling, halving and sharing • Begins to identify own mathematical problems based on own interests and fascinations 2014 National Curriculum Maths Topics Reception Topics
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2014 National Curriculum Maths Topics Reception Topics
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2014 National Curriculum Maths Topics
Reception Topics
Autumn Term Spring Term Summer Term
Number
• Counts actions or objects that cannot be moved
• Estimates how many objects they can see and checks
by counting them
• Uses the language of ‘more’ and ‘fewer’ to compare
two sets of objects
• Counts reliably with numbers from 1 to 5 then 1 to 10
then 1 to 20, places them in order and say which
number is one more/ one less than a given number
• Recognises some numerals of personal significance.
• Selects the correct numeral to represent 1 to 5, then
1 to 10 objects
• In practical activities and discussion, is beginning to
use the vocabulary involved in adding and subtracting
• Uses quantities and objects to add and subtract two
single-digit numbers, and counts on or back to find
the answer
• Finds the total number of items in two groups
by counting all of them
• Records, using marks that they can interpret and
explain.
• Solve problems, including doubling, halving and
sharing
Number
• Counts actions or objects that cannot be
moved
• Estimates how many objects they can
see and checks by counting them
• Uses the language of ‘more’ and ‘fewer’ to
compare two sets of objects
• Counts reliably with numbers from 1 to
20, places them in order and say which
number is one more/ one less than a given
number
• Recognises some numerals of
personal significance.
• Selects the correct numeral to represent 1
to 5, then 1 to 10 objects
• In practical activities and discussion, is
beginning to use the vocabulary
involved in adding and subtracting
• Uses quantities and objects to add and
subtract two single-digit numbers, and
counts on or back to find the answer
• Finds the total number of items in
two groups by counting all of them
• Records, using marks that they can
interpret and explain.
• Solve problems, including doubling,
halving and sharing
Number
• Counts actions or objects that cannot be
moved
• Estimates how many objects they can
see and checks by counting them
• Uses the language of ‘more’ and ‘fewer’
to compare two sets of objects
• Counts reliably with numbers from 1 to
20, places them in order and say which
number is one more/ one less than a given
number
• Recognises some numerals of
personal significance.
• Selects the correct numeral to represent 1
to 5, then 1 to 10 objects
• In practical activities and discussion, is
beginning to use the vocabulary
involved in adding and subtracting
• Uses quantities and objects to add and
subtract two single-digit numbers, and
counts on or back to find the answer
• Finds the total number of items in
two groups by counting all of them
• Records, using marks that they can
interpret and explain.
• Solve problems, including doubling,
halving and sharing
• Begins to identify own mathematical
problems based on own interests and
fascinations
2014 National Curriculum Maths Topics
Reception Topics
Shape, Space and Measure
• Beginning to use mathematical names for ‘solid’ 3D
shapes and ‘flat’ 2D shapes, and mathematical
terms to describe shapes.
• Selects a particular named shape.
• Can describe their relative position such as ‘behind’ or
‘next to’.
• Explores characteristics of everyday objects and
shapes and uses mathematical language to
describe them.
• Selects a particular named shape.
• Uses familiar objects and common shapes to create
and recreate patterns and build models.
• Recognises, creates and describes patterns
• Beginning to use everyday language related to money
• Uses everyday language to talk about size, weight,
capacity, position, distance, time and money to solve
problems
• Orders two or three items by length or height
• Uses everyday language related to time.
• Orders and sequences familiar events.
• Measures short periods of time in simple ways
Shape, Space and Measure
• Beginning to use mathematical names for
‘solid’ 3D shapes and ‘flat’ 2D shapes, and
mathematical terms to describe shapes.
• Selects a particular named shape.
• Can describe their relative position such as
‘behind’ or ‘next to’.
• Explores characteristics of everyday
objects and shapes and uses
mathematical language to describe them.
• Selects a particular named shape.
• Uses familiar objects and common shapes
to create and recreate patterns and build
models.
• Recognises, creates and describes
patterns
• Beginning to use everyday language
related to money
• Uses everyday language to talk about size,
weight, capacity, position, distance, time
and money to solve problems
• Orders two or three items by length or
height
• Orders two items by weight or capacity
• Uses everyday language related to time
• Orders and sequences familiar events
• Measures short periods of time in simple
ways
Shape, Space and Measure
• Beginning to use mathematical names for
‘solid’ 3D shapes and ‘flat’ 2D shapes, and
mathematical terms to describe shapes.
• Selects a particular named shape.
• Can describe their relative position such as
‘behind’ or ‘next to’.
• Explores characteristics of everyday
objects and shapes and uses
mathematical language to describe them.
• Selects a particular named shape.
• Uses familiar objects and common shapes
to create and recreate patterns and build
models.
• Recognises, creates and describes
patterns
• Beginning to use everyday language
related to money
• Uses everyday language to talk about size,
weight, capacity, position, distance, time
and money to solve problems
• Orders two or three items by length or
height
• Orders two items by weight or capacity
• Uses everyday language related to time
• Orders and sequences familiar events
• Measures short periods of time in simple
ways
Autumn Term Spring Term Summer Term
Number and place value
• Count reliably up to 20 objects
• Recognise and estimate numbers more and less than
10
• Use the landmarks of 5s to help place other numbers
on a washing line or bead bar
• Make ‘teen’ numbers by adding more to 10
• Partition each ‘teen’ number to 10 and the rest.
• One more and one less than 2-digit number
• Mark numbers on a 0 to 20 beaded line
• Compare 2 numbers less than 20
• Count in 10s from 10
• Share numbers to 10 to find which are even/odd
• Find odd and even numbers on a 1–20 track
• Count to 100
• Find one more and one less
• Use ordinal numbers in context
• Number bonds to 10
Number and place value
• Find one more/less than any 2-
digit number
• Count in 10s from 10
• Count in tens from any number
• Estimate a quantity
• Find ten more and ten less than and 2-
digit number
• Show a 2-digit number by combining
groups of ten and one; Locate numbers on
a beaded line
• Know what each digit means in a 2-digit
number
• Estimate a number of objects, and count
to check
• Compare two numbers less than 100, say
which is more or less
• Give a number between two neighbouring
multiples of 10
• Investigate place value in 2-digit numbers
• Recognise odd and even numbers
Number and place value
• Ordering 2-digit numbers.
• Find a number between neighbouring
pairs of multiples of 10.
• Find 10 more and 10 less.
Number - Addition and subtraction
• Partition 5 into pairs, record the related additions
• Add a small number by counting on
• Add 1, 2, 3, 4 or 5 to 5 by counting on
• Add 1 or 2 to numbers to 6 by counting on
• Add 1 or 2 to numbers to 10 by counting on
• Understand subtraction as ‘take away’
• Begin to count back to subtract
• See how subtraction ‘undoes’ addition
• Add and subtract 1 or 2
• Decide whether to add or subtract to solve a word
Number- Addition and subtraction
• Bonds to 8; Recognise that adding can be
done in any order
• Bonds to 9; Recognise that adding can be
done in any order
• Find doubles to double 6
• Add three numbers using number bonds
to 10
• Adding three numbers using doubles
and number bonds
• Find 10 more than any 2-digit number less
Number - Addition and subtraction
• Add 10s to 2-digit numbers.
• Add 11 to multiples of 10.
• Subtract 10s from a 2-digit number.
• Subtract 11 from multiples of 10.
• Add and subtract 11 from multiples of 10.
• Describe the pattern this makes on a
number grid
• Know number bonds to 10
• Use pairs to 10 to add to the next
10s number
2014 National Curriculum Maths Topics
Year 1 Topics
problem
• Partition 6 into pairs
• Partition 7 and record addition sentences
• Partition 10 and record the related addition sentences
• Add 2, 3 or 4 by counting on
• Realise that addition can be done in any order
• Find one more/one less than any number up to 20
• Find two more/less than any number up to 20,
recording the hops on a beaded line
• Find one more/one less than 2-digit numbers
• Find one more/one less than any 2-digit number
• Partition 10 into pairs, write the addition
than 90
• Find 10 less than any 2-digit number
• Investigate difference
• Split 8 and 9 into pairs
• Relate addition and subtraction number
facts
• Adding doubles and near doubles
• Add 10, then small multiples of 10 to
2- digit numbers
• Subtract 10 and then small multiples of
10 from 2-digit numbers
• Number bonds to 10
• Bridge ten with bead strings and beaded
lines
• Add single-digit amounts of
pence, bridging 10p
• Use pairs to ten to bridge ten
• Sort calculations - will they bridge ten
or not?
• Find totals of 2 and 3 coins to 10p
• Find ways to pay amounts up to 20p
• Find totals of single-digit prices
using known facts or counting on
• Add 10p and 20p to 2-digit amounts of
money
• Find change from 10p
• Finding the difference between amounts
of money
• Use number bonds to add, bridging 10
• Recognise whether two numbers
added together will bridge 10
• Use bonds to 10 to bridge 10 when
subtracting (12 – 2, 12 – 3, 12 – 4 …) with
visual support
• Use pairs to 10 to bridge 10 when
subtracting (12 – 2, 12 – 3, 12 – 4, …)
• Record the steps on a beaded line.
• Use pairs to 10 to bridge 10 when
subtracting (12 – 2, 12 – 3, 12 – 4…) and
record the steps on a beaded line
• Sort calculations according to whether
they will bridge 10 or not
• Use pairs to 10 to find the complement to
the next multiple of 10.
• Use pairs to 10 to find the complement to
the next multiple of 10, using a beaded
number line.
• Adding single digit numbers to 2-digit
numbers using patterns and number facts
• Adding single digit numbers to 2-digit
numbers using patterns and number facts
• Subtracting single digit numbers to 2-
digit numbers using facts.
• Finding totals of money
• Giving change by finding the difference.
• Finding totals to 20p
• Find totals using other number facts
• Finding totals adding 10 or 20 pence
• Finding change by finding the difference
and counting on
Number – Multiplication and division
• Double 1 to 5
Number – Multiplication and division
• Learn to count in 2s from 0
• Sorting numbers onto diagrams
• Double numbers up to 12
Number – Multiplication and division
• Count in 2s, 5s and 10s.
• Record counting on a beaded line
with hops.
• Count in 2s, 5s and 10s.
• Use repeated addition to work out
multiplication problems.
• Work out simple multiplications by
counting ‘sets of’
• Begin to use a penny number line to ring
sets
• Work out simple division problems by working
out how many sets in a given number
• Work out division problems by
grouping objects.
• Begin to use a beaded line to
group
• Doubling numbers
• Halving numbers
• Multiplication using ‘sets of’
• Multiplication as ‘sets of’ and division
as ‘how many sets?’
Number - Fractions
• Find halves of shapes
• Find quarters of shapes
Number - Fractions
• Find half of numbers up to 24 (links to
odds and evens
Number - Fractions
• Find 1/2 and 1/4 of amounts.
Geometry
• Understand and create symmetrical patterns
• Spot whether a pattern/object is symmetrical
• Name and describe squares, rectangles, circles
and triangles
• Use lists to sort objects
• Use a table to help sort objects
Geometry
• Name common 3D shapes and their faces
• Name, describe and sort common 3D
shapes
• Recognise 2D drawings of common 3D
shapes
• Describe properties of common 3D shapes
• Make models of 3D shapes
• Recognise 3D shapes; understand ¼, ½
and ¾ turns
• Recognise 3D shapes and describe
their position
Measurement
• Tell the time to the hour
• Know the times of key events in the day
• Order days of the week
• Order months of the year
• Measure length using a uniform unit
• Estimate/measure length using a uniform unit
• Measure and estimate by comparing with a metre
stick
• Know how much each coin to 10p is worth
• Add 1p and 2p to coins up to 10p
• Find ways to pay amounts to 10p
Measurement
• Compare weights using direct comparison
• Compare weights using direct comparison
• Use uniform non-standard units
to measure weight
• Tell the time to the hour and half hour
• Tell the time to the half hour
• Begin to find all possibilities by making
an ordered list
• Measuring objects in cubes
• Measuring lengths of string in cubes
• Find a difference in lengths using cubes
(uniform, non-standard units)
• Find a difference in heights using cubes
• Compare capacities, by direct comparison
• Estimate, measure and compare
capacities, using cups; use a uniform, non-
standard unit to measure capacity
• Estimate, measure, compare capacities,
using cups; use a uniform, non-
standard unit to measure capacity
• Know the value of each coin to £1
Measurement
• Read the time to the 1/2 hour on
analogue clocks
• Read the time to the 1/2 hour on
analogue and digital clocks
• Match analogue and digital clocks
• Finding 1/2s and 1/4 of shapes.
• Know days of the week and months of the
year
• Tell the time to the nearest ½ hour
• Tell the time to the nearest 1/2 hour
• Understanding time and using the
language of time
• Order times from earliest to latest
Statistics
• Draw pictograms and discuss what they
show
• Presenting data in a block graph
Statistics
• Draw, read and understand block graphs
• Read, understand and draw pictograms
Autumn Term Spring Term Summer Term
Number and place value
• Recite numbers to 100
• Count up to 100 objects (beads on a bead bar)
• Count on in tens from single and two-digit
numbers and back again
• Mark two-digit numbers on a beaded line, then
landmarked line (labelled in tens)
• Order numbers to 100, compare two numbers, say
which is more or less
• Say a number between any given neighbouring pairs
of multiples of ten (e.g. 40 and 50)
• Make a sensible estimate up to 100 objects
(e.g. choosing from 10, 20, 50 or 100)
• Use place value to add and subtract e.g. 30 + 4, 53 –
3)
• Count on in tens from any single-digit number
then any number, and back again
Number, place value and money
• Mark two-digit numbers on a landmarked
line (labelled in tens)
• Compare numbers using the symbols <
and >
• Use ordinal numbers in context up to 10th
and beyond
• Use knowledge of order of numbers and
properties of number (e.g. odd/even,
multiples of 2 and 10) to describe/sort
numbers
• Round two-digit numbers to nearest
multiple of ten
• Use place value to add and subtract
(e.g. 30 + 4, 53 – 3)
Place Value and number
• Mark two-digit numbers on an ‘empty’
number line (only 0 and 100 labelled)
• Recite numbers 100 to 200
• Use knowledge of the order of numbers
to 100 to order numbers 100 to 200
• Use knowledge of order of numbers +
properties of number (e.g. odd/even,
multiples of 2, 5 and 10) to
describe/sort numbers
• Partition three-digit numbers into
multiples of hundred, ten and one and
write the corresponding addition sentence
• Know what each digit represents in a
three-digit number
Number - Addition and subtraction
• Relate counting on/back in tens to finding
10 more/less
• Relate counting on/back in tens to finding
20 more/less
• Find 9/11 more or less by finding 10 more/less
and understanding whether to add/subtract 1
• Find a difference using number facts to help
• Understand difference as one model of subtraction
• Show two-digit numbers on a bead string and write
corresponding addition (e.g. 26 = 20 + 6)
• Partition two-digit numbers into tens and ones
• Partition all numbers to 10, then 20 into pairs, record
the related addition sentences and find the
Number - Addition and subtraction
• Add/subtract 11, 12, 13, 21, 22, 23 by
adding/subtracting 10/20 first
• Add/subtract a single digit to/from a 2-
digit number by bridging multiples of ten
using knowledge of pairs to ten & place
value
• Find all pairs with a total of 20 and record the
corresponding addition and subtraction facts
• Recognise the use of a symbol such as ■ to represent an unknown
• Imagine what action would be needed to solve
a word problem and decide what calculation is
necessary (addition or subtraction)
• Find totals up to 50p using two or more coins
Number - Addition and subtraction
• Revise all previous work Use the = sign
to represent equality (e.g. 16 + 4 = 17 +
3)
• Find all pairs with a total of 20 and record
the corresponding addition and
subtraction facts
• Find all pairs of multiple of ten with a total
of 100 and record the corresponding
addition and subtraction facts
• Add/subtract two-digit numbers by
adding/subtracting multiples of ten then
one (e.g. add 45 and 23 by adding 20, then
3)
• Add a pair of two-digit numbers by putting
2014 National Curriculum Maths Topics
Year 2 Topics
corresponding subtraction facts
• Use the = sign to represent equality (e.g. 6 + 4 = 7 + 3)
• Recognise the use of a symbol such as t represent
an unknown
• Recognise all coins
• Find totals up to 20p (including adding more than two
amounts using number facts to help)
• Find change from 20p
• Work out what coins can be used to pay an
amount up to £1
• Use complements to multiples of ten to
find change up to 50p
• Understand difference as one model of
subtraction
• Find a difference using pairs to ten and place
value (e.g. 22 - 17, 32 – 27)
the larger number first, e.g. 63 + 24
• Understand that addition can be done in
any order, but not subtraction
• Recognise all coins and notes and begin to
use £.p notation
• Work out what coins and notes can be
used to pay an amount up to £10
• Find change from £1
• Understand subtraction as both ‘finding a
difference’ and ‘taking away’
• Decide whether it would be more efficient
to subtract by counting back or counting
up
• Decide which would be more efficient to
solve given additions, partitioning both
numbers, or just the second number and
counting on in tens
Number - Multiplication and division
• Count in 2s and 10s from any number to 100
• Understand multiplication as repeated addition
• Recognise multiples of 2 and 10
• Use facts to add four or five small numbers, by
spotting pairs to ten/doubles
• Use multiplication and division sentences to
describe an array and repeated hops on a number
line
• Understand grouping as one model of division
• Begin to learn multiplication facts for the 2 and 10
times tables
Number - Multiplication and division
• in 2s, 5s and 10s from any number to 100
• Recognise multiples of 2, 5 and 10
• Understand multiplication as
repeated addition
• Use multiplication and division sentences
to describe an array and repeated hops on
a number line
• Understand grouping as one model of
division
• Begin to understand that division can
leave some left over
• Learn multiplication facts for the 2, 5 and
10 times tables
• Find doubles up to double 15
• Find doubles of multiples of 5 up to
double 50 and corresponding halves
Number - Multiplication and Division
• Use multiplication and division sentences
to describe an array and repeated hops on
a number line
• Understand grouping as one model of division
• Understand that division can leave some left
over
• Work out multiplication and division facts for
the 3 and 4 times tables
Number - Fractions
• Find halves and quarters of shapes by folding
• Recognise which shapes are divided in halve/quarters
and which are not
Number - Fractions
• Find halves and quarters of numbers
by folding strips
Number - Fractions
• Revise all previous work
Geometry
• Follow and give instructions involving
position, direction and movement
• Visualise common 2-d solids, identify from pictures in
different positions and orientations
• Sort & describe 2-d shapes, referring to
their properties
• Visualise common 3-d solids, identify from pictures
in different positions and orientations
• Sort and describe 3-d shapes, referring to their
properties
Measurement
• Estimate, measure and compare lengths,
choosing and using suitable standard units and
suitable measuring instruments
• Read the time to the quarter of an hour on digital and
analogue clocks
• Begin to identify time intervals, including those that
cross the hour
• Use units of time (seconds, minutes, hours, days and
weeks) and know the relationships between them
Geometry
• Visualise common 3-d solids, identify
from pictures in diff positions and
orientations
• Sort, make and describe 3-d shapes, referring to
their properties
• Follow and give instructions involving
position, direction and movement
• Sort, make & describe 2-d shapes, referring
to their properties
• Identify reflective symmetry in patterns and
draw lines of symmetry
• Identify reflective symmetry in 2-d shapes
and draw lines of symmetry in shapes
• Visualise common 2-d shapes, identify from
pictures in different positions and orientations
Measurement
• Estimate, measure and compare weights,
choosing and using suitable standard units and
suitable measuring instruments
• Use units of time (seconds. minutes, hours,
days and weeks) and know the relationship
between them
• Measure activities using seconds and minutes
• Note how long, in hours, diff activities are
• Know the days of the week
• Read the time to the quarter of an hour on
digital and analogue clocks
Shape, data and measures
• Use units of time (seconds. minutes,
hours, days and weeks) and know the
relationship between them
• Read the time to the quarter of an
hour on digital and analogue clocks
• Begin to identify time intervals,
including those that cross the hour
• Answer a question by collecting and
recording data, and representing it as
block graphs and pictograms to show
results
• Recognise whole, half and quarter
turns, both clockwise and
anticlockwise; recognise that a right
angle is a quarter turn
• Estimate, measure and compare
capacities, choosing and using
suitable non-standard and standard
units and suitable measuring
instruments
• Visualise common 3-d solids,
identify from pictures in different
positions and orientations
• Sort and describe 3-d
shapes, referring to their
properties
Statistics
• Answer a question by collecting & recording data, and
representing it as block graphs and pictograms to
show results
Statistics
• Answer a question by collecting and recording
data, and representing it as block graphs and
pictograms to show results
• Follow and give instructions involving
position, direction and movement
• Use lists, tables and diagrams to sort
objects; explain choices using appropriate
language, including ‘not’
Autumn Term Spring Term Summer Term
Number and place value
• Revise placing 2-digit numbers on an empty number
line
• Place 3-digit numbers on a landmarked
• Place value and ordering 3-digit numbers
• Write amounts in pounds and pence
• Place value and comparing amounts of money
written in pounds and pence
Number and place value
• Place 3-digit numbers on a number line
• Place 3-digit numbers on a number line
• Partition 3-digit numbers into 100s, 10s
and 1s; compare and order numbers
• Use a number line to compare and order
3-digit numbers
• Partition numbers into 100s, 10s and 1s
Understand place value in 3-digit numbers
• Place value in 3-digit numbers including
money
• Multiplying and dividing by 10
• Multiplying and dividing by 10 and 100
• Multiplying and dividing by 10 and 100
using money
• Using inverse operations
Number and place value
• Partition and represent 3-digit
numbers using Place Value cards and
multi-base equipment (Dienes)
• Order and compare 3-digit numbers
• Place 3-digit numbers on landmarked lines
(sections with 10s, then just 100s marked)
and round to the nearest 10 and 100
• Place value in money, writing in pounds
and pence
• Use place value to add and subtract
pounds, 10ps and 1ps, e.g. £4.63 –
60p and £3.49 + 30p
• Count in 50s and 100s
• Count in 4s and 8s
• Work out the rule for a sequence
• Introduce 4-digit numbers, counting
above 1000
• Place value in numbers from 1000 to 2000
2014 National Curriculum Maths Topics
Year 3 Topics
Number - Addition and subtraction
• Addition and subtraction facts up to 20
• Using the = sign to represent equality
• Use number facts to add a 1-digit number to a 2-
digit number
• Use number facts to subtract a 1-digit number from
a 2-digit number
• Add several small numbers, using number facts
• Add 2-digit numbers by partitioning
• Add 2-digit numbers by partitioning
• Subtract by counting up (answers less than 20)
• Subtract by counting up (answers more than 20)
• Count up to find change from a pound
• Add 100s, 10s and 1s
• Subtract 100s, 10s and 1s
• Add and subtract near multiples of 10 to/from 2-
digit numbers
• Add near multiples of 10 to 3-digit numbers
• Subtract near multiples of 10 from 3-digit numbers
• Know multiples of 5 which total 100
• Know pairs of 2-digit numbers which total 100
• Subtract numbers on either side of 100 by
counting up
• Subtract numbers on either side of 100 by
counting up
• Subtract numbers on either side of 100 by
counting up
Number - Addition and subtraction
• Add pairs of 2-digit numbers
using different strategies
• Add pairs of 2-digit numbers
using different strategies
• Subtract multiples of 10 and
near multiples
• Use counting up to find
differences (subtract)
• Choose strategies to subtract
• Add a 1-digit number to a 3-digit number.
• Subtract a 1-digit number from a 3-
digit number
• Add/subtract multiples of 10 and 100
• Add/subtract multiples of 10 and 100
• Using addition and subtraction to
solve word problems
• Add 3-digit numbers using
expanded addition
• Add 3-digit numbers using
expanded addition
• Add 3-digit numbers using
expanded addition
• Subtract a 2-digit number from a 3-
digit number
• Subtract a 2-digit number from a 3-
digit number)
• Expanded addition to add two 3-
digit numbers.
• Expanded addition to add two 3-
digit numbers.
• Find a difference between pairs
of numbers within the same
century
• Find a difference between pairs
of numbers, check with addition.
• Addition and subtraction word problems.
Number - Addition and subtraction
• Revise using expanded and
compact addition to add any pair
of 3-digit numbers
• Use compact addition to add pairs of
3- digit numbers, estimate totals
• Use compact addition to add any pair of
3- digit numbers; look for patterns and
make generalisation.
• Revise subtracting 2-digit numbers from
3- digit numbers, e.g. 137 – 72
• Revise subtracting 3-digit numbers
within same century, e.g. 476 – 438
• Add three or four 2-digit numbers
using expanded or compact addition
• Add three or four 2-digit numbers
using compact addition; estimate
answers
• Add three or four 2-digit numbers
using compact addition; Find and test
rules
• Calculate change from £5, £10 and £20
• Find the difference between amounts
of money
• Use column addition to add three 3-
digit numbers
• Use column addition to amounts of
money (one ‘carry’ between 1ps and
10ps or from 10ps to £s)
• Use column addition to amounts of
money; Revise finding the change from
£5,
£10 and £20
• Find change from £100
Number - Multiplication and division
• Double 2-digit numbers up to 50
• Halve even 2-digit numbers
• Revise 5 and 10 times tables and division facts
• Revision of 2 times table, focusing on division
• Recognising multiples of 2, 5 and 10
• x and ÷ facts for the 3 times table
• x and ÷ facts for the 4 times table
• Writing division facts to go with multiplications
• Dividing using multiplication facts, with remainders
• Dividing using multiplication facts, with remainders
Number - Multiplication and division
• Double the 4 times table to get the 8
times table
• Varied multiplications for the 2, 3, 4, 5, 8,
10 times tables
• Division within tables with remainders
• Division within tables with remainders
• Multiplication and division word problems
• Multiply by 4 by doubling twice
• Divide by 4 by halving twice
• Find unit fractions of quantities
using division facts
• Find non-unit fractions of quantities
using division and multiplication
• Find non-unit fractions of quantities
using division and multiplication
Number - Multiplication and Division
• Revise doubling numbers to 50 using
partitioning
• Revise halving numbers to 100 using
partitioning
• Revise times tables and division facts
(1x, 2x, 3x, 4x, 5x, 8x, 10x)
• Begin to use the grid method to multiply
2-digit numbers (teens) by 1-digit
numbers
• Begin to use the grid method to multiply
2-digit numbers (numbers < 30) by 1-
digit numbers;
• Find and test rules
• Scale up by multiplying by 4 (double
twice) and by 10
• Scale down by dividing by 4 (halve twice)
and by 10
• Divide numbers just beyond the
times tables (no remainders)
• Divide numbers just beyond the
times tables (no remainders)
• Divide numbers just beyond the
times tables (with remainders)
• Use the grid method to multiply 2-digit
numbers (numbers < 40) by 1-digit
numbers
Number - Fractions
• Understanding the concept of ½, ⅓ and ¼ of shapes
and number
• Finding ½ of quantities, including odd numbers
• Finding halves of quantities less than 100
• Finding ¼ and ¾ of quantities
• Finding 1/3 and 2/3 of quantities
Number - Fractions
• Place fractions on a number line (1/4s
1/2s, 1/8s)
• Finding fractions of amounts (1/4s
and 1/8s)
• Finding fractions of amounts (1/3s
and 1/6s
• Understanding denominator & numerator
and comparing fractions
• Recognise and find fractions with a total of 1
Number - Fractions
• Understand tenths, and find tenths of
amounts
• Fractions as numbers and as operators;
find unit fractions of quantities
• Find non-unit fractions of amounts
• Find fractions which are equivalent to ½
and to ¼
• Add and subtract fractions with the same
denominator within one whole
Geometry • Recognise lines of symmetry, complete symmetrical
drawings
• Describe, name and sort 2D shapes
• Describe, name and sort 2D shapes using a Venn diagram
• Describe, name and sort 3D shapes
• Describe, name and sort 3D shapes using a Carroll diagram
Measurement
• Revise telling time past the hour (to 5 minutes)
on both analogue and digital clocks
• Revise telling time to the hour (to 5 minutes)
on analogue and digital clocks
• Know equivalent analogue and digital times; Use
am and pm
• Time events in seconds, record on a bar graph, one
step is 10 seconds
Statistics
• Collect/ represent data in pictograms, one symbol
represents 2 units
Geometry
• Understand angles as turn and right
angles as ¼ turns
Measurement
• Measure in metres and cm; convert cm to
m and vice versa
• Measure in cm and mm. Convert mm
to cm and vice versa
• Measure in kg and g. Convert g to kg and
vice versa
• Read and write analogue and digital times
• Match analogue & digital times; read and
write these
• Begin to calculate time intervals
• Begin to calculate time intervals
Statistics
• Measure in kg and g. Draw a bar graph
• Measure in m, cm and mm, kg and g. Draw
a bar graph
Geometry
• Recognise that two right angles make a
half-turn, three make three quarters of
a turn and four a complete turn
• Identify whether angles are greater than
or less than a right angle
• Identify perpendicular and parallel lines
• Count faces, vertices and edges of 3D
shapes
Measurement
• Measure in litres and millilitres and
convert between the two units
• Revise measuring in millimetres and
centimetres, draw a bar chart
• Revise measuring in metres and
centimetres, find perimeters
• Revise am and pm; Begin to tell the time
to the nearest minute
• Tell time to nearest minute; Compare time
durations
• Revise units of time
Autumn Term Spring Term Summer Term
Number and place value
• Understand place value in 4-digit numbers
• Write place value subtractions
• Comparing pairs of four-digit numbers, using < and >
• Placing and ordering 3-digit numbers
• Placing and ordering 4-digit numbers
• Add and subtract using place value
• Add and subtract using place value
• Add/subtract 1 or 1000 to/from 4-digit numbers
• Add/subtract 10 to/from 4-digit numbers
• Add/subtract 100 to/from 4-digit numbers
Number and place value
• Divide 2-digit numbers by 10 to create 1-
place decimal numbers
• Multiply 1-place decimals to give
whole numbers.
• Relate fractions to decimals (0.1 ≡ 1/10)
• Relate one place decimals to cm and mm
• Multiply and divide by 10 and 100 using 1-
place decimals
• Multiply multiples of 10 and 100 by single-
digit numbers
• Add and subtract 0.1 and 1 to/from
numbers with one decimal place
• Use negative numbers in context of
temperature
• Place negative numbers on a line;
Order positive and negative numbers
Number and place value
• Place value addition and subtraction
(4- digit numbers)
• Place 4-digit numbers on landmarked lines
(sections with 10s, then just 100s marked)
and round to the nearest 10 and 100
• Place four-digit numbers on landmarked
lines (marked in 1000s) and round to the
nearest 1000
• Count on and back in steps of 25 and 1000
• History of zero and place value, Roman
numerals to 100
• Revise numbers with one decimal
place: mark on ENLs and round to the
nearest whole
• Introduce numbers with 2 decimal places
on place value grids
• Compare and order numbers with
2 decimal places
• Place numbers with 2 decimal places
on landmarked lines (marked in 0.1s)
2014 National Curriculum Maths Topics
Year 4 Topics
Number - Addition and subtraction
• Add pairs of two-digit numbers
• Add two–digit numbers to three-digit numbers
• Find a difference by counting up
• Count up and use number bonds to subtract two-
digit numbers from 100
• Choose counting up or back to subtract two-
digit numbers from numbers >100
• Add/subtract using PV and number facts
• Add/subtract 3-digit numbers using PV and number
facts
• Add/subtract money using place value and
number facts.
• Add near multiples of 10 or 100 to 3-digit numbers
Subtract near multiples of 10 or 100 from 3-digit number
• Adding two 3-digit numbers using compact written
addition
• Using counting up to subtract, e.g. 402 – 356
• Use Counting up to subtract (e.g. 421 – 356) and
check
• 3-digit expanded decomposition with one exchange
• Expanded decomposition, 3-digit – 3-digit
Number - Addition and subtraction
• Add amounts of money using expanded
and compact addition
• Count up to solve 3-digit subtractions
• Count up to find change from £5 and £10
• Count up to find a price difference
• Add three 2-digit numbers using
compact addition
• Add four 2-digit numbers using compact
addition
• Subtract 3-digit numbers using expanded
column subtraction
• Investigate patterns when subtracting 3-
digit numbers
• Add/subtract single-digit numbers to and
from 3 and 4-digit numbers Subtract
single-digit numbers from 3 and 4-digit
numbers
• Add multiples of 10, 100 and 1000
• Subtract multiples of 10, 100 and 1000
• Add and subtract multiples of 10, 100 and
1000
• Add three 3-digit numbers using
compact addition Use compact addition
to add amounts of money
• Use expanded decomposition to subtract
three-digit numbers
• Introduce compact decomposition to
subtract three-digit numbers
• Use compact decomposition to subtract
three-digit numbers
Number- Addition and subtraction
• Revise compact decomposition of 3-
digit numbers
• Expanded decomposition of 4-
digit numbers (one move)
• Use expanded then compact
decomposition to subtract pairs of 4-
digit numbers (2 moves)
• Use compact decomposition to subtract 3
and 4-digit numbers from 4-digit numbers
• Use counting up to subtract pairs of
numbers which are close to multiples
of 1000, or when the larger number has
zeroes
• Expanded and compact
decomposition, including 3 moves
• Add any pair of 4-digit numbers
using compact addition
• Add and subtract near multiples of 10, 100
and 1000
• Choose mental or written methods for
addition and subtraction
• Solve addition and subtraction
word problems
• Add/subtract 0.1/0.01 to/from numbers
with 2 decimal places; count on and back
in tenths and hundredths
• Add/subtract multiples of 0.1/0.01
• Place value addition and subtraction, e.g.
4.06 + 0.5, 4.56 – 0.06
Number - Multiplication and division
• Double and halve 2-digit numbers, including
odd numbers
• Double and halve three-digit numbers
• Revise 4 and 8 times tables, and divisions
• Double the 3 times table to get 6 times tables
• Division facts for 3, 4, 5, 6 and 8 times tables
• Grid multiplication
• Written division
• Divide 2-digit numbers just above the 10th multiple
with remainders
Divide two-digit numbers just above the 10th multiple
with remainders
Number - Multiplication and division
• Know multiplication and division facts
for the 9 times table
• Begin to know multiplication and
division facts for the 7 times table
• Revise all times tables up to 12 × 12
• Find factors of numbers up to 40
• Use tables facts and place value to
multiply multiples of 10 and 100 by single-
digit numbers
• Use partitioning to multiply 3-
digit numbers by 1-digit numbers
• Use partitioning to multiply 3-
digit numbers by 1-digit numbers
• Use partitioning to multiply 3-
digit numbers by 1-digit numbers
• Know the 11 and 12 times
• Divide 2-digit numbers by single-
digit numbers (with remainders)
Number - Multiplication and division
• Revise factors; use to aid mental
multiplication
• Multiply 3 numbers together e.g. 2 × 6 × 5
= 10 × 6
• Use knowledge of times tables and place
value to divide multiples of 10, e.g. 350
÷ 7
• Multiply 3-digit numbers by single-
digit numbers
• Multiplication and division word problems
• Mix of all four operations – all straight
calculations mix of mental and written
• Multiply and divide single-digit numbers
by 10 and 100 to give tenths, then
hundredths
• × and ÷ 2-digit, then 3-digit numbers by
10 and 100 to give tenths & hundredths
• Solve word problems
• Divide two-digit numbers by single-digit
numbers, answers less than 30 (without
remainders)
• Divide two-digit numbers by single-
digit numbers, answers less than 30
(with remainders)
Number - Fractions
• Count ins 1/4s, 1/3s, 1/8s and 1/10s saying equivalent
fractions
• Find unit and non-unit fractions of amounts
• Find unit and non-unit fractions of amounts
Number - Fractions
• Identify equivalent fractions, especially in
relation to halves and quarters
• Simplify fractions by reducing to their
simplest form
• Identify equivalent fractions and mark on
a number line
• Mark equivalent fractions/decimals on a
number line Add fractions with the same
denominator
Number - Fractions
• Find equivalent 1/100s and 0.01s, 1/10s
and 0.1s
• Identify equivalent fractions, including
decimals
• Revise finding non-unit fractions of
amounts.
• Solve fraction word problems
Geometry
• Use compass to draw circles to given radii.
• Draw different polygons; identify their properties
• Study different triangles and identify their properties
• Study different 3-D shapes and identify their
properties
• identify and sort 3-D shapes acc. to their properties
Measurement
• Revise telling time, am and pm, to the nearest minute
on both analogue and digital clocks; convert between
the two
• Find times later, crossing the hour, both analogue and
digital clock
• Calculate time intervals, crossing the hour, using both
analogue and digital clocks
• Time events in seconds, record in a bar chart, one
step is 5 or 10 seconds
Geometry
• Use x, y co-ordinates on a graph
(first quadrant)
Measurement
• Measure in m and cm; convert from cm
to m and m & cm to m
• Measure in cm/mm; convert from mm to
cm
• Weigh in Kg/g; convert from kg to g and
vice versa
• Tell time on digital and analogue clocks
using 24 hour clock
• Convert 24 hour clock to am and pm times
• Use timetables and calculate intervals
Geometry
• Find area of rectilinear shapes by counting
squares
• Find area of rectilinear shapes by counting
squares
• Calculate perimeter in centimetre
and metre of rectangles
• Investigate area and perimeter
• Revise co-ordinates, complete polygons
• Complete symmetrical shapes and
patterns with respect to a line of
symmetry
• Recognise different types of triangle;
recognise acute, obtuse and right angles
• Recognise acute, obtuse and right angles
and find what numbers of each sort of
angles are possible in quadrilaterals
• Sort quadrilaterals according to different
properties
Measurement
• Revise 24-hr clock, convert to am and pm
times and vice versa (including clocks with
Roman numerals)
• Find time intervals using 24-hour clock
• Convert between units of time
• Solve scaling problems; convert from
centimetres to metres
Statistics
• Collect and represent data in pictograms – one
picture represents four units
Statistics
• Estimate weights and order items by
weight; display information on a bar graph
• Measure weights or lengths using SI
units; display results on a bar graph
Statistics
• Read, interpret and describe a time graph.
• Draw a time graph
Autumn Term Spring Term Summer Term
Number and place value
• Place value in 5-digit numbers (PV
additions/subtractions)
• Place 5-digit numbers on a line and compare pairs of
numbers, use < and >
• Divide by 10 and 100 to give answers with two
decimal places
• Multiply and divide by 10 and 100
• Place two place decimal numbers on a number line
and compare two numbers
• Place 4-digit numbers on a line, round to nearest 10,
100 or 1000
• Place 5-digit numbers on a line and round to the
nearest 10, 100, 1000 or 10,000
• Count on and back in steps of 0.01 and 0.1
from numbers with 2 decimal places
Number and place value
• Place value in 6-digit numbers (PV + and -,
compare numbers)
• Place 6-digit numbers on number
lines and round to the nearest 100 or
1000
• Use negative numbers in context of
temperature; Calculate rises and falls in
temperature
• Use negative numbers in the context of
temperature; Find differences between
temperatures
• Place value addition and subtraction of
numbers with 2 decimal places
• Multiply and divide by 10, 100 and 1000.
• Round decimals to the nearest whole and
tenth
• Use place value to add and subtract
to/from 6-digit numbers
• Compare 6-digit numbers and round to
the nearest 10, 100, 1000, 10,000 and
100,000
• Multiply and divide by 10, 100 and 1000
• Place numbers with two decimal places on
a line, round to the nearest tenth or whole
Number and place value
• Compare and order negative numbers
• Count back in steps through zero
• Add and subtract 1, 10, 100, 1000, 10,000
and 100,000 to/from six-digit numbers
• Place 6-digit numbers on landmarked lines
and empty lines
• Round 6-digit numbers to the
nearest 1000, 10,000, and 100,000
• Read and write Roman numerals to 1000
(M)
• Recognise years written in Roman
numerals
• Revise 2-place decimals
• 3-place decimals
• Multiply and divide by 10, 100, 1000
• Recognise and use square numbers
and cube numbers
• Revise place value in numbers with
three decimal places
• Compare and order numbers with
three decimal places and place on a line
2014 National Curriculum Maths Topics
Year 5 Topics
Number - Addition and subtraction
• Add/subtract 1s, 10s, 100s, 1000s and 10,000s
• Revise using column addition to add pairs of 4-digit
numbers
• Add amounts of money using column addition; Use
using rounding to check answers
• Begin to use column addition to add pairs of 5-digit
numbers
• Find change from £20, £50 and £100
• Subtract amounts of money
• Use column subtraction (decomposition) to
subtract pairs of 4-digit numbers
• Choose whether to use counting up or column
subtraction (decomposition) to work out
given calculations
• Add and subtract multiples of 0.1 or 0.01 without
crossing multiples of 0.1 or 1
• Subtract pairs of numbers with one decimal place
• Subtract pairs of numbers with two decimal places
using counting up
• Subtract pairs of numbers with one or two decimal
places using counting up
• Revise mental addition and subtraction (Place
Value and near multiples)
• Add pairs of 5-digit numbers (f-digit answers)
• Use decomposition to subtract pairs of 5-digit numbers
Number -Addition and subtraction
• Use place value to add and subtract; add
and subtract near multiples of 100 and
1000
• Add and subtract 1, 10, 100, 1000, 10,000
and 100,000 to/from six-digit numbers
• Use counting up to subtract four digit-
numbers from multiples of 1000
• Subtract pairs of two-digit numbers
with one decimal place
• Find change from £100; use column
addition to add amounts
• Find the difference between amounts
of money
• Use decomposition to subtract pairs of
five-digit numbers
• Use decomposition to subtract pairs of
five-digit numbers
• Use decomposition to subtract pairs of five-
digit numbers and four-digit numbers from
five-digit numbers; solve word problems
• Revise column addition of four-digit
and five-digit numbers
• Revise column addition and subtraction of
four-digit and five-digit numbers
• Use written addition to add decimals;
use rounding to estimate totals
• Adding decimal numbers
• Subtract pairs of nos with same number of
decimal places
• Subtract pairs of numbers with different
numbers of decimal places, e.g. 3.2 –
1.78 and 5.34 – 3.7
Number - Addition and subtraction
• Revise column subtraction of 5-
digit numbers
• Revise using counting up to subtract pairs
of numbers with two decimal places
• Revise using counting up to subtract
numbers with different numbers of
decimal places (1 or 2); Solve subtraction
word problems
• Use counting up to find change and
differences between prices; Check
subtraction with addition
• Revise column addition and subtraction of
decimals and money
• Solve single and multi-step
problems, working out which
calculation(s) are necessary.
Number - Addition and subtraction
• Add/subtract 1s, 10s, 100s, 1000s and 10,000s
• Revise using column addition to add pairs of 4-digit
numbers
• Add amounts of money using column addition; Use
using rounding to check answers
• Begin to use column addition to add pairs of 5-digit
numbers
• Find change from £20, £50 and £100
• Subtract amounts of money
• Use column subtraction (decomposition) to
subtract pairs of 4-digit numbers
• Choose whether to use counting up or column
subtraction (decomposition) to work out
given calculations
• Add and subtract multiples of 0.1 or 0.01 without
crossing multiples of 0.1 or 1
• Subtract pairs of numbers with one decimal place
• Subtract pairs of numbers with two decimal places
using counting up
• Subtract pairs of numbers with one or two decimal
places using counting up
• Revise mental addition and subtraction (Place
Value and near multiples)
• Add pairs of 5-digit numbers (f-digit answers)
• Use decomposition to subtract pairs of 5-digit numbers
Number -Addition and subtraction
• Use place value to add and subtract; add
and subtract near multiples of 100 and
1000
• Add and subtract 1, 10, 100, 1000, 10,000
and 100,000 to/from six-digit numbers
• Use counting up to subtract four digit-
numbers from multiples of 1000
• Subtract pairs of two-digit numbers
with one decimal place
• Find change from £100; use column
addition to add amounts
• Find the difference between amounts
of money
• Use decomposition to subtract pairs of
five-digit numbers
• Use decomposition to subtract pairs of
five-digit numbers
• Use decomposition to subtract pairs of five-
digit numbers and four-digit numbers from
five-digit numbers; solve word problems
• Revise column addition of four-digit
and five-digit numbers
• Revise column addition and subtraction of
four-digit and five-digit numbers
• Use written addition to add decimals;
use rounding to estimate totals
• Adding decimal numbers
• Subtract pairs of nos with same number of
decimal places
• Subtract pairs of numbers with different
numbers of decimal places, e.g. 3.2 –
1.78 and 5.34 – 3.7
Number - Addition and subtraction
• Revise column subtraction of 5-
digit numbers
• Revise using counting up to subtract pairs
of numbers with two decimal places
• Revise using counting up to subtract
numbers with different numbers of
decimal places (1 or 2); Solve subtraction
word problems
• Use counting up to find change and
differences between prices; Check
subtraction with addition
• Revise column addition and subtraction of
decimals and money
• Solve single and multi-step
problems, working out which
calculation(s) are necessary.
Number - Fractions
• Introduce mixed numbers, turn improper
fractions into mixed numbers and vice versa
• Compare and order fractions with
related denominators
• Add fractions with related denominators
• Subtract fractions with related denominators
• Find unit and non-unit fractions of amounts
• Find equivalent fractions; Simplify fractions
• Compare fractions with related denominators
Number - Fractions including decimals
• Revise comparing fractions with
related denominators using
equivalence
• Use mental division strategies to find unit
fractions of amounts
• Find non-unit fractions of amounts
• Find fractions, multiply and divide to
solve word problems
• Know decimal equivalents for halves,
quarters, fifths, tenths and hundredths
• Multiply unit fractions by whole numbers
• Multiply non-unit fractions by whole
numbers
Number – Fractions including decimals and
percentages
• Introduce percentages
• Know equivalence between percentages
and fractions
• Use equivalence with fractions to find
percentages
• Use equivalence to compare and order
fractions; Convert improper fractions
to mixed numbers
• Revise adding and subtracting fractions
with related denominators
• Add and subtract mixed numbers
with related denominators
• Solve problems requiring scaling by simple
fractions
• Revise multiplying fractions by whole
numbers; Simplify answers
• Multiply mixed numbers by whole
numbers
• Understand and use equivalence.
Geometry
• Sort 3D shapes according to their properties; Visualise
3D shapes from 2D drawings
• Visualise 3D shapes from 2D drawings;
Describe properties of prisms and pyramids
• Describe properties of 2D shapes including polygons
• Describe properties of polygons
• Classify quadrilaterals
Measurement
• Convert between grams and kilograms, millilitres and
litres (mainly to one decimal place)
• Convert between metres and kilometres; know
approximate conversion between miles and km;
• Know regularly used imperials units and approximate
metric equivalents
• Read timetables using the 24-hour clock;
calculate time intervals
• Calculate time intervals using the 24-hour clock
Statistics
• Begin to draw line graphs and read intermediate
points
Geometry
• Plot points and draw polygons in
two quadrants.
• Work out new co-ordinates after a
translation.
• Reflect a shape and write the new
co- ordinates.
• Find the perimeters of rectangles
and composite shapes
• Work out the missing lengths of sides
in order to find perimeters
• Find areas of squares and rectangles
in cm2
or m2
• Estimate area of irregular shapes;
calculate the area from scale drawings
• Find and estimate volumes
Statistics
• Draw line graphs of times tables.
• Draw a conversion graph of imperial
to metric units and use it to read off
equivalent measures.
Geometry
• Measure and draw angles using a
protractor
• Recognise acute, obtuse and reflex angles
• Know that angles on a straight line add up
to 180°; use this to find missing angles
• Know that angles on a straight line add up
to 360° and use this to find missing angles
• Draw polygons to given dimensions
and angles
Measurement
• Read timetables using the 24-hour clock;
calculate time intervals
• Calculate time intervals and find a time a
given number of minutes or hours and
minutes later
• Introduce rate
• Solve problems involving rate
• Convert between kilograms and grams,
litres and millilitres, metres and
kilometres
Statistics
• Draw and interpret line graphs and read
intermediate points
2014 National Curriculum Maths Topics
Year 6 Topics
Autumn Term Spring Term Summer Term
Number and place value
• Revise understanding of what each digit represents
in a numbers with up to two decimal places
• Revise using decimal notation for tenths and
hundredths
• Begin to recognise and use decimals with three places
• Order numbers with up to two decimal places
(including different numbers of places) and place
them on a number line
• Round a number with two decimal places to the
nearest tenth or to the nearest whole number
• Give a number between two numbers with one
decimal place, e.g. 2.5 and 2.6, and use correctly the
symbols for >, < and =
• Count on and back in steps of 0.1, 0.25
• Recognise and extend number sequences
• Revise finding factors of two-digit numbers
Number and place value
• Multiply and divide any number from 1 to
10000 by 10, 100 or 1000 and understand
the effect
• Multiply and divide decimals by 10 or
100 (answers up to two places for
division)
• Understand the effect of multiplying or
dividing by 10, 100 or 1000
• Round whole numbers to the nearest 10,
100 or 1000
• Estimate where four-digit numbers lie on
an empty 0-10 000 line
• Count on and back in repeated
steps, including through zero
• Find the difference between a positive
and a negative integer, and between
two negative integers in a context such
as temperature or on the number line
• Order a set of positive and
negative integers
• Describe a relationship in words, and then
express it in a formula using letters as
symbols, e.g. stamps cost 32p each, so n
stamps cost 32n
• Substitute numbers for letters in
simple formulae
Number and place value
Revision
• Order numbers with up to three decimal
places (including different numbers of
places) and place them on a number line
• Begin to recognise and use decimals with
three places
• Find the difference between a positive
and a negative integer, and between
two negative integers in a context such
as temperature or on the number line
• Order a set of positive and
negative integers
• Compare numbers up to 1 million, find a
number in-between, use < and > signs
• Recognise multiples of 2 to 10 up to the
10th multiple
• Find common multiples
• Find factors of two-digit numbers
• Make and justify estimates and
approximations of large numbers e.g.
how many pennies might be a in a line
1km long
• Explain methods and reasoning orally
• Recognise squares of all numbers to at
least 12 × 12
• Square multiples of ten, e.g. 50 × 50
2014 National Curriculum Maths Topics
Year 6 Topics
Number - Addition and subtraction
• Add or subtract mentally a near multiple of 10, 100 or
1000, or a near multiple of £1 and adjust, e.g. 3127 +
4998, 5678 -1996. £5.00 ± £2.99
• Use strategies for adding or subtracting two-digit
whole numbers, and place value to add or subtract
three-digit multiples of 10 and pairs of decimals
• Approximate first before calculating
• Revise using vertical addition to add pairs of four-
digit numbers
• Revise adding two numbers with the same number of
decimal places using vertical addition, including
amounts of money, e.g. £35.75 + £26.78
• Revise subtracting four digit numbers by counting up,
e.g. 5431 – 2789
• Subtract four digit numbers using decomposition
• Subtract numbers with the same number of
decimal places by counting up, including amounts
of money, e.g. 25.3 – 15.7, 5.24 – 2.76, £50.00 -
£26.78
• Choose an efficient method to subtract by choosing
for a variety of calculations such as 5412 – 3006,
1524 – 320 or 1524 – 978 choosing for a variety of
calculations such as 5412 – 3006, 1524 – 320 or 1524
– 978
• Choose mental or written methods to work out
addition and subtraction calculations
• Use all four operations to solve single- and multi-
step word problems
• Use brackets
Number - Addition and subtraction
• Derive quickly pairs of decimals with a
total of 10 e.g. 7.8 and 2.2 and with a total
of 1, e.g. 0.78 + 0.22
• Use strategies used to add/subtract pairs
of whole two-digit numbers to
add/subtract two-digit numbers with
one decimal place
• Add/subtract near multiples of one,
e.g. 5.6 + 2.9, 13.5 – 2.1
• Approximate first before calculating
• Use vertical addition to add several whole
numbers with different numbers of digits
• Use vertical addition to add two
numbers with different numbers of
decimal places
• Find a difference between decimals
with two decimal places by counting up,
e.g. 3.24 – 2.96
• Find a difference between two numbers
with different numbers of decimal places
by counting up, e.g. 5.24 – 3.7, 9.4 – 5.78
• Recognise prime numbers up to 20
• Find all prime numbers less than 100
Number - Addition and subtraction
Revision
• Add two or more two-, three- or four-
digit numbers including decimals using
mental or written methods
• Subtract pairs of two-, three- or four-
digit numbers including decimals using
mental or written methods
• Choose mental or written methods to
work out addition and subtraction
calculations including word problems.
Number - Multiplication and division
• Revise multiplying two-digit numbers by single digit
numbers by partitioning, e.g. 47 × 6 = (40 × 6) + (7 × 6)
• Double quickly any two-digit number e.g. 78, 7.8.
0.78, and derive the corresponding halves
• Double multiples of 10 to 1000, e.g. double 360, and
derive the corresponding halves
• Multiply pairs of multiples of 10, e.g. 30 x 40, or of 10
and 100, e.g. 600 x 40
• Approximate first before calculating
• Revise using the grid method to multiply three-digit
numbers by single digit numbers and to multiply two-
digit numbers by two-digit numbers
• Use the grid method to multiply four-digit numbers
by single-digit numbers
• Use brackets
• Revise dividing two-digit numbers by single-
digit numbers, including leaving a remainder
• Decide whether to group or share (including
halving and quartering) to solve division
• Give an answer to a division as a mixed number
when the divisor is 2, 4, 5, 10 or 100, e.g. 39 ÷ 4 = 9¾
• Decide whether to round up or down after division
• Revise using chunking on the ENL to divide three-
digit numbers by single digit numbers, including
those leaving a remainder
• Use these operations to solve single- and multi-
step word problems
Number - Multiplication and division
• Recognise multiples of 2 to 10 up to the
10th multiple
• Find common multiples Use knowledge of
place value and multiplication facts to
work out multiplication and division
involving decimals (e.g. 0.8 × 7, 4.8 ÷ 6)
• Multiply two-digit numbers by single digit
numbers by partitioning, e.g. 4.7 × 6 = (4
× 6) + (0.7 × 6)
• Use brackets
• Multiply by near multiples of ten by
multiplying by the nearest multiple of
ten and adjusting e.g. multiply by 19 or
21 by multiplying by 20 and adjusting
• Revise using knowledge of place value
and multiplication facts to multiply and
divide decimals mentally, e.g. 0.8 x 7, 4.8
÷ 6
• Approximate first before calculating
• Use the grid method to multiply three-
digit numbers by two-digit numbers
• Use the grid method to multiply a sum of
money by a single digit number, e.g.
£12.45 x 3
• Know and apply tests of divisibility by 2, 3,
4, 5, 6, 9, 10, 25, 100 and 1000
• Use chunking on the ENL to divide
three- digit numbers by two-digit
numbers (no remainder)
• Decide whether to round up or down
after division
• Choose mental or written methods to
multiply or divide numbers
Number - Multiplication and division
Revision
• Use knowledge of place value and
multiplication facts to multiply and divide
appropriate calculations
• Multiply by near multiples of ten by
multiplying by the nearest multiple of ten
and adjusting, e.g. multiply by 19 or 21 by
multiplying by 20 and adjusting
• Use the grid method to multiply three-
digit numbers including numbers with one
or two decimal places, by single digit
numbers, e.g. 4.92 × 3
• Multiply three- and two-digit numbers
by two- and single-digit numbers
including decimals using mental or
written or methods
• Divide three- and two-digit numbers by
two- and single-digit numbers including
decimals using mental or written methods
• Choose mental or written methods to
multiply or divide numbers
• Solve word problems involving both
operations
• Give an answer to a division as a
mixed number, e.g. 90 ÷ 7 = 12 6/7
• Give an answer to a division as a decimal
fraction where the divisor is 2, 4, 5, 10 or
100, e.g. 61 ÷ 4 = 15.25
• Use chunking to divide a three-digit sum
of money in pounds by a one- or two-
digit number, first converting the pounds
to pence, e.g. £6.00 ÷ 24 is 600p ÷ 24 or £1.26 ÷ 7 is 126 ÷ 7
Number – Fractions (including decimals, percentages,
ratio and proportion)
• Revise finding fractions of shapes
• Change an improper fraction to a mixed number,
e.g. 33/8 to 4 1/8
• Recognise equivalence between fractions e.g.
between 1/16s, 1/8s, 1/4s and 1/2s; and between
1/100s, 1/10s and 1/2s
• Reduce a fraction to its simplest form
• Relate finding fractions to division and use them
as operators to find fractions including several
tenths and hundredths of quantities
• Understand percentage as the number of parts in
every 100, and express halves, quarters, tenths and
hundredths as percentages
• Find simple percentages of whole number quantities
e.g. 10%, 20%, 40% and 80 % by doubling, and 25% by
finding a quarter
• Revise using ratio and proportion to describe the
relationship between quantities, e.g. 3 red beads for
every 2 blue beads, 3 out of every 5 beads are red
Solve simple problems involving direct proportion by
scaling quantities up or down
Number – Fractions (including decimals,
percentages, ratio and proportion)
• Compare fractions such as 2/3, ¾ and 5/6
by converting them to fractions with the
same denominator
• Solve problems involving percentages,
e.g. find discounted prices
• Express one quantity as a percentage
of another (e.g. express £400 as a
percentage of £1000)
• Use ratio and proportion to solve simple
problems, e.g. there are 30 children; there
are 3 boys for every 2 girls, how many
boys are there?
Number – Fractions (including decimals,
percentages, ratio and proportion)
Revision
• Revise Year 4 and 5 objectives and all
previous work
• Compare fractions such as 2/3, ¾ and 5/6
by converting them to fractions with the
same denominator
Geometry
• Measure and calculate the perimeter of rectilinear
shapes
• Measure and calculate the area of rectilinear shapes
• Estimate the area of an irregular shape by counting
squares
• Calculate the perimeter of simple compound shapes
that can be split into rectangles
• Calculate the area of simple compound shapes that
can be split into rectangles
• Describe, identify and visualise parallel and
perpendicular edges or faces
• Use the properties of 2D and 3D shapes to classify 2-D
shapes and 3-D solids
• Visualise 3-D shapes from 2-D drawings and identify
different nets for a closed cube
• Use Venn and Carroll diagrams to show
information about shapes
• Sort and classify quadrilaterals using criteria such as
parallel sides, equal sides, equal angles and lines of
symmetry
• Make and draw shapes with increasing accuracy
• Estimate angles and use a protractor to measure
these
• Draw angles, using a protractor, on their own and in
shapes
• Calculate angles on a straight line, in a triangle or
around a point
Geometry
• Describe and interpret results and
solutions to problems using the
mode, range, median and mean
• Read and plot co-ordinates in the
first quadrant
• Use co-ordinates in the first quadrant to
draw, locate and complete shapes that
meet given properties
• Visualise and draw on grids of different types
where a shape will be after reflection, after
translation, or after rotation through 90 or
180 degrees about its centre or about one of
its vertices
Measurement
• Select and use standard units of measure,
reading and writing these to two places of
decimals
• Convert between units of measurement,
using decimals to two places
• Read and interpret scales on a range of
measuring instruments; comparing
readings on different scales
• Tell the time using digital and analogue clocks
using the 24-hour clock
• Read and use timetables using the 24-hour
clock
• Use a calendar to calculate time intervals
• Calculate time intervals using digital and
analogue times
• Calculate time intervals in months or years
Geometry
• Visualise and draw on grids of different
types where a shape will be after
reflection, after translation, or after
rotation through 90 or 180 degrees about
its centre or about one of its vertices
• Describe, identify and visualise
parallel and perpendicular edges or
faces
• Use the properties of 2D and 3d shapes
to classify 2D shapes and 3D solids
• Estimate angles and use a protractor to
measure these
• Draw angles, using a protractor, on their
own and in shapes
• Calculate angles in a triangle or around a
point
Measurement
• Tell the time using digital and analogue
clocks using the 24-hour clock
• Read and use timetables using the
24- hour clock
• Read and interpret scales on a range of
measuring instruments; comparing
readings on different scales
Statistics
• Solve problems by collecting, selecting,
processing, presenting and interpreting data, using
ICT where appropriate; draw conclusions and
identify further questions to ask
• Construct and interpret frequency tables, bar charts