2014 National Curriculum Maths Topics Reception Topics

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


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.


• 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


• Beginning to use mathematical names for

‘solid’ 3D shapes and ‘flat’ 2D shapes, and

mathematical terms to describe shapes.


• 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.


• 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


• Beginning to use mathematical names for

‘solid’ 3D shapes and ‘flat’ 2D shapes, and

mathematical terms to describe shapes.


• 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.


• 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


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


• 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


• 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


• 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


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


• Learn to count in 2s from 0

• Sorting numbers onto diagrams

• Double numbers up to 12


• 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



• 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


• 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


• 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


• 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


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


• 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



• 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



• Use lists, tables and diagrams to sort

objects; explain choices using appropriate

language, including ‘not’



• 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


• 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


• 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


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


Year 3 Topics


• 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


counting up


counting up


• 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


expanded addition


expanded addition


digit number


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.


• 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


using compact addition; estimate

answers


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


• 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


• 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)


times tables (no remainders)


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



• 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


• 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


• Place value addition and subtraction

(4- digit numbers)


(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)


Year 4 Topics


• 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


• 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


• 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


• 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





• Know the 11 and 12 times

• Divide 2-digit numbers by single-

digit numbers (with remainders)


• 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


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



• 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


• 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


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


• 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


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


Year 5 Topics


• 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


• 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


of money

• Use decomposition to subtract pairs of

five-digit numbers


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


• 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


decimals and money

• Solve single and multi-step

problems, working out which

calculation(s) are necessary.


• 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


• 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


of money


five-digit numbers


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


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


• 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


decimal places (1 or 2); Solve subtraction

word problems

• Use counting up to find change and

differences between prices; Check

subtraction with addition


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 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


Year 6 Topics



• 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


• 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


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


Year 6 Topics


• 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


• 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


• Use vertical addition to add several whole

numbers with different numbers of digits

• Use vertical addition to add two


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


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.


• 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


• 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


• 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


• 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


multiply or divide numbers


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


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

with grouped discrete data, and line graphs

• Interpret pie charts

Statistics

• Construct and interpret frequency tables,

bar charts with grouped discreet data, and

line graphs


• Describe and predict outcomes from

data using the language of chance

and likelihood

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 with grouped discreet data, and

line graphs


Documents

2014 National Curriculum Maths Topics Reception Topics