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X: Progression of skills, knowledge & vocabulary: MATHSINTENTIn maths, we aim to promote enjoyment and enthusiasm for learning through practical activity, exploration and discussion and promote fluency, confidence and competence with numbers and the number system. We aim to develop the ability to solve increasingly complex problems through decision-making and mathematical reasoning in a range of contexts; by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language. We aim to develop a practical understanding of the ways in which information is gathered and presented; and explore features of shape and space; and develop measuring skills in a range of contexts. We aim to help children understand the importance of mathematics in everyday life.NUMBER SENSE
See progression of skills 2022 Early Years for curriculum statements from 0-5 yearsEnd of Reception: ELGYear 1Year 2Year 3Year 4Year 5Year 6ELG: Have a deep understanding of number to 10, including the composition of each number
ELG: Subitise (recognise quantities without counting) up to 5
ELG: Verbally count beyond 20, recognising the pattern of the counting system
ELG: Compare quantities up to 10 in different contexts, recognising when one quantity is greater than, less than or the same as the other quantity
ELG: Explore and represent patterns within numbers up to 10, including evens and odds, double facts and how quantities can be distributed equally.
Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number
Count, read and write numbers to 100 in numerals; count in multiples of 2s, 5s and 10s
Given a number, identify 1 more and 1 less
Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least
Read and write numbers from 1 to 20 in numerals and wordsCount in steps of 2, 3, and 5 from 0, and in 10s from any number, forward and backward
Recognise the place value of each digit in a two-digit number (10s, 1s)
Identify, represent and estimate numbers using different representations, including the number line
Compare and order numbers from 0 up to 100; use <, > and = signs
Read and write numbers to at least 100 in numerals and in words
Use place value and number facts to solve problemsCount from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number
Recognise the place value of each digit in a 3-digit number (100s, 10s, 1s)
Compare and order numbers up to 1,000
Identify, represent and estimate numbers using different representations
Read and write numbers up to 1,000 in numerals and in words
Solve number problems and practical problems involving these ideasCount in multiples of 6, 7, 9, 25 and 1,000
Find 1,000 more or less than a given number
Count backwards through 0 to include negative numbers
Recognise the place value of each digit in a four-digit number (1,000s, 100s, 10s, and 1s)
Order and compare numbers beyond 1,000
Identify, represent and estimate numbers using different representations
Round any number to the nearest 10, 100 or 1,000
Solve number and practical problems that involve all of the above and with increasingly large positive numbers
Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of 0 and place valueRead, write, order and compare numbers to at least 1,000,000 and determine the value of each digit
Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000
Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0
Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000
Solve number problems and practical problems that involve all of the above
Read Roman numerals to 1,000 (M) and recognise years written in Roman numeralsRead, write, order and compare numbers up to 10,000,000 and determine the value of each digit
Round any whole number to a required degree of accuracy
Use negative numbers in context, and calculate intervals across 0
Solve number and practical problems that involve all of the above
NUMBER: ADDITION & SUBTRACTION
See progression of skills 2022 Early Years for curriculum statements from 0-5 yearsEnd of Reception: ELGYear 1Year 2Year 3Year 4Year 5Year 6ELG: Automatically recall (without reference to rhymes, counting or other aids) number bonds up to 5 (including subtraction facts) and some number bonds to 10, including double facts.Read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs
Represent and use number bonds and related subtraction facts within 20
Add and subtract one-digit and two-digit numbers to 20, including 0
Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? 9Solve problems with addition and subtraction: using concrete objects and pictorial representations, including those involving numbers, quantities and measures
Solve problems with addition and subtraction: applying their increasing knowledge of mental and written methods
Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100
Add and subtract numbers using concrete objects, pictorial representations, and mentally, including a two-digit number and 1s
Add and subtract numbers using concrete objects, pictorial representations, and mentally, including a two-digit number and 10s
Add and subtract numbers using concrete objects, pictorial representations, and mentally, including 2 two-digit numbers
Add and subtract numbers using concrete objects, pictorial representations, and mentally, including adding 3 one-digit numbers
Show that addition of 2 numbers can be done in any order (commutative) and subtraction of 1 number from another cannot
Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problemsAdd and subtract numbers mentally, including a three-digit number and 1s
Add and subtract numbers mentally, including a three-digit number and 10s
Add and subtract numbers mentally, including a three-digit number and 100s
Add and subtract numbers with up to 3 digits, using formal written methods of columnar addition and subtraction
Estimate the answer to a calculation and use inverse operations to check answers
Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtractionAdd and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
Estimate and use inverse operations to check answers to a calculation
Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and whyAdd and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
Add and subtract numbers mentally with increasingly large numbers
Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and whyUse their knowledge of the order of operations to carry out calculations involving the 4 operations
Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Solve problems involving addition, subtraction, multiplication and division
Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
Perform mental calculations, including with mixed operations and large numbers
NUMBER: MULTIPLICATION & DIVISION
See progression of skills 2022 Early Years for curriculum statements from 0-5 yearsEnd of Reception: ELGYear 1Year 2Year 3Year 4Year 5Year 6Solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacherRecall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers
Calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (x), division (/) and equals (=) signs
Show that multiplication of 2 numbers can be done in any order (commutative) and division of 1 number by another cannot
Solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contextsRecall and use multiplication and division facts for the 3, 4 and 8x multiplication tables
Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods
Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objectsRecall multiplication and division facts for multiplication tables up to 12x12
Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together 3 numbers
Recognise and use factor pairs and commutativity in mental calculations
Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
Solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objectsIdentify multiples and factors, including finding all factor pairs of a number, and common factors of 2 numbers
Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers
Establish whether a number up to 100 is prime and recall prime numbers up to 19
Multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers
Multiply and divide numbers mentally, drawing upon known facts
Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000
Recognise and use square numbers and cube numbers, and the notation for squared () and cubed ()
Solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes
Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple ratesMultiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
Divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context
Perform mental calculations, including with mixed operations and large numbers
Identify common factors, common multiples and prime numbers
Use their knowledge of the order of operations to carry out calculations involving the 4 operations
Solve problems involving addition, subtraction, multiplication and division
Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
NUMBER: FRACTIONSSee progression of skills 2022 Early Years for curriculum statements from 0-5 yearsEnd of Reception: ELGYear 1Year 2Year 3Year 4Year 5Year 6Recognise, find and name a half as 1 of 2 equal parts of an object, shape or quantity
Recognise, find and name a quarter as 1 of 4 equal parts of an object, shape or quantityRecognise, find, name and write fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity
Write simple fractions, for example 1/2 of 6 = 3 and recognise the equivalence of 2/4 and 1/2Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10
Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators
Recognise and show, using diagrams, equivalent fractions with small denominators
Add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7]
Compare and order unit fractions, and fractions with the same denominators
Solve fraction problemsRecognise and show, using diagrams, families of common equivalent fractions
Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 and dividing tenths by 10
Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number
Add and subtract fractions with the same denominator
Recognise and write decimal equivalents of any number of tenths or hundredths
Recognise and write decimal equivalents to 1/4, 1/2, 3/4
Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths
Round decimals with 1 decimal place to the nearest whole number
Compare numbers with the same number of decimal places up to 2 decimal places
Solve simple measure and money problems involving fractions and decimals to 2 decimal placesCompare and order fractions whose denominators are all multiples of the same number
Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5]
Add and subtract fractions with the same denominator, and denominators that are multiples of the same number
Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
Read and write decimal numbers as fractions [for example, 0.71 = 71/100]
Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
Round decimals with 2 decimal places to the nearest whole number and to 1 decimal place
Read, write, order and compare numbers with up to 3 decimal places
Solve problems involving number up to 3 decimal places
Recognise the percent symbol (%) and understand that per cent relates to 'number of parts per 100', and write percentages as a fraction with denominator 100, and as a decimal fraction
Solve problems which require knowing percentage and decimal equivalents of 1/2, 1/2, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25Use common factors to simplify fractions; use common multiples to express fractions in the same denomination
Compare and order fractions, including fractions >1
Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
Multiply simple pairs of proper fractions, writing the answer in its simplest form (for example, 1/4 x 1/2 = 1/8)
Divide proper fractions by whole numbers (for example, 1/3 / 2 = 1/6)
Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8]
Identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places
Multiply one-digit numbers with up to 2 decimal places by whole numbers
Use written division methods in cases where the answer has up to 2 decimal places
Solve problems which require answers to be rounded to specified degrees of accuracy
Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts
PROGRESSION OF SKILLS: MATHSMEASUREMENTSee progression of skills 2022 Early Years for curriculum statements from 0-5 yearsEnd of Reception ELGYear 1Year 2Year 3Year 4Year 5Year 6Compare, describe and solve practical problems for lengths and heights [for example, long/short, longer/shorter, tall/short, double/half]
Compare, describe and solve practical problems for mass/weight [for example, heavy/light, heavier than, lighter than]
Compare, describe and solve practical problems for capacity and volume [for example, full/empty, more than, less than, half, half full, quarter]
Compare, describe and solve practical problems for time [for example, quicker, slower, earlier, later]
Measure and begin to record lengths and heights
Measure and begin to record mass/weight
Measure and begin to record capacity and volume
Measure and begin to record time (hours, minutes, seconds)
Recognise and know the value of different denominations of coins and notes
Sequence events in chronological order using language [for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening]
Recognise and use language relating to dates, including days of the week, weeks, months and years
Tell the time to the hour and half past the hour and draw the hands on a clock face to show these timesChoose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels
Compare and order lengths, mass, volume/capacity and record the results using >, < and =
Recognise and use symbols for pounds () and pence (p); combine amounts to make a particular value
Find different combinations of coins that equal the same amounts of money
Solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change
Compare and sequence intervals of time
Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times
Know the number of minutes in an hour and the number of hours in a dayMeasure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)
Measure the perimeter of simple 2-D shapes
Add and subtract amounts of money to give change, using both and p in practical contexts
Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks
Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o'clock, am/pm, morning, afternoon, noon and midnight
Know the number of seconds in a minute and the number of days in each month, year and leap year
Compare durations of events [for example, to calculate the time taken by particular events or tasks]Convert between different units of measure [for example, kilometre to metre; hour to minute]
Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
Find the area of rectilinear shapes by counting squares
Estimate, compare and calculate different measures, including money in pounds and pence
Read, write and convert time between analogue and digital 12- and 24-hour clocks
Solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to daysConvert between different units of metric measure [for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre]
Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints
Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
Calculate and compare the area of rectangles (including squares), including using standard units, square centimetres (cm) and square metres (m), and estimate the area of irregular shapes
Estimate volume [for example, using 1 cm blocks to build cuboids (including cubes)] and capacity [for example, using water]
Solve problems involving converting between units of time
Use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scalingSolve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate
Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal places
Convert between miles and kilometres
Recognise that shapes with the same areas can have different perimeters and vice versa
Recognise when it is possible to use formulae for area and volume of shapes
Calculate the area of parallelograms and triangles
Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm) and cubic metres (m), and extending to other units [for example, mm and km]
PROGRESSION OF SKILLS: MATHSGEOMETRYSee progression of skills 2022 Early Years for curriculum statements from 0-5 yearsEnd of Reception ELGYear 1Year 2Year 3Year 4Year 5Year 6Recognise and name common 2-D and 3-D shapes, including 2-D shapes [for example, rectangles (including squares), circles and triangles]
Recognise and name common 2-D and 3-D shapes, including 3-D shapes [for example, cuboids (including cubes), pyramids and spheres]
Describe position, direction and movement, including whole, half, quarter and three-quarter turnsIdentify and describe the properties of 2-D shapes, including the number of sides, and line symmetry in a vertical line
Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces
Identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]
Compare and sort common 2-D and 3-D shapes and everyday objects
Order and arrange combinations of mathematical objects in patterns and sequences
Use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise)Draw 2-D shapes and make 3-D shapes using modelling materials
Recognise 3-D shapes in different orientations and describe them
Recognise angles as a property of shape or a description of a turn
Identify right angles, recognise that 2 right angles make a half-turn, 3 make three-quarters of a turn and 4 a complete turn; identify whether angles are greater than or less than a right angle
Identify horizontal and vertical lines and pairs of perpendicular and parallel linesCompare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
Identify acute and obtuse angles and compare and order angles up to 2 right angles by size
Identify lines of symmetry in 2-D shapes presented in different orientations
Complete a simple symmetric figure with respect to a specific line of symmetry
Describe positions on a 2-D grid as coordinates in the first quadrant
Describe movements between positions as translations of a given unit to the left/right and up/down
Plot specified points and draw sides to complete a given polygonIdentify 3-D shapes, including cubes and other cuboids, from 2-D representations
Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
Draw given angles, and measure them in degrees ()
Identify angles at a point and 1 whole turn (total 360)
Identify angles at a point on a straight line and half a turn (total 180)
Identify other multiples of 90
Use the properties of rectangles to deduce related facts and find missing lengths and angles
Distinguish between regular and irregular polygons based on reasoning about equal sides and angles
Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changedDraw 2-D shapes using given dimensions and angles
Recognise, describe and build simple 3-D shapes, including making nets
Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles
Describe positions on the full coordinate grid (all 4 quadrants)
Draw and translate simple shapes on the coordinate plane, and reflect them in the axes
PROGRESSION OF SKILLS: MATHSALGEBRASee progression of skills 2022 Early Years for curriculum statements from 0-5 yearsEnd of Reception ELGYear 1Year 2Year 3Year 4Year 5Year 6Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? - 9Solve addition and subtraction problems involving missing numbersSolve addition and subtraction, multiplication and division problems that involve missing numbersSolve addition and subtraction, multiplication and division problems that involve missing numbersSolve addition and subtraction, multiplication and division problems that involve missing numbersUse simple formulae
Generate and describe linear number sequences
Express missing number problems algebraically
Find pairs of numbers that satisfy an equation with two unknowns
Enumerate possibilities of combinations of two variables
PROGRESSION OF SKILLS: MATHSSTATISTICSEnd of Reception
ELGYear 1Year 2Year 3Year 4Year 5Year 6Interpret and construct simple pictograms, tally charts, block diagrams and tables
Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity
Ask and answer questions about totalling and comparing categorical dataInterpret and present data using bar charts, pictograms and tables
Solve one-step and two-step questions [for example 'How many more?' and 'How many fewer?'] using information presented in scaled bar charts and pictograms and tablesInterpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphsSolve comparison, sum and difference problems using information presented in a line graph
Complete, read and interpret information in tables, including timetablesInterpret and construct pie charts and line graphs and use these to solve problems
Calculate and interpret the mean as an average
PROGRESSION OF SKILLS: MATHSRATIO & PROPORTIONSee progression of skills 2022 Early Years for curriculum statements from 0-5 yearsEnd of Reception ELGYear 1Year 2Year 3Year 4Year 5Year 6Solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts
Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison
Solve problems involving similar shapes where the scale factor is known or can be found
Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples
PROGRESSION OF SKILLS: MATHSVOCABULARY FOR MATHSMaths domainEnd of Reception
ELGYear 1Year 2Year 3Year 4Year 5Year 6Number and place valuelots
more
none
same/ the same as
different
more / more than
less / less than
fewer/ fewer than
most
fewest
least
amount
number
how many?
count / counting
forwards
backwards
count on
count back
zero
numbers 0-20+
odd
even
pair
pattern
subitise
one / ones
ten / tens
equal / equal to / =
not equal
first,
second, third up to tenth
order
one less/more
number
count / counting
forwards
backwards
count on
countback
zero
twenty-one
twenty-two
twenty-three
twenty-four
up to ninety-nine
odd
even
pattern
steps of
multiple
subitise
value
digit
same
different
one / ones
ten / tens
hundred
column
one-digit
two-digit
more / more than
less / less than
fewer/ fewer than
equal / equal to / =
not equal
most
fewest
least
first
second
third
fourth
fifth
up to
twentieth
order
amount
sizenumeral
hundreds
step counting
count in multiplesone hundred and one
one hundred and two
one hundred and three
up to one thousand
integer / integers
decimal /decimals
decimal notation
ascending
descendingthousands
Roman numerals
(up to 100 / C)
negative numbers
positive numbersten thousand
hundred thousand
millions
Roman numerals
(up to 1000 / M)
power / powers of
prime number
complement
composite (non-prime)
square number
square / squared / (d)
cube number
cube / cubed / (d)
integermillions
ten millionNumber- Calculationsadd
more
make
sum
total
altogether
double/ doubling
half/ halving
one more/ two more/ ten more
one less/ two less/ ten less
takeaway
subtract
minus
how many more/less than
how much
difference
numberbond
part/ whole/ part whole mode
equal
unequal
grouptotal / in total
sum
plus
add / addition / +
altogether
combine
number bond
difference
distance between
subtract / subtraction / -
minus
take away / taken away
how much
how many
bonds
start / change/ result
facts
problems
missing number problems
left / leftover
part
whole
unknown
number sentence
equal
equally
unequal
pair
group / grouped
grouping
share /shared
sharing
double / doubling / doubles
twice as
each
half / halving / halves
lots of
groups of
times
array
regroup / regrouping
addend
subtrahend
minuend
bar model
remainder
multiple / multiples
commutative
inverse
calculate
multiplication
division
times tables
multiplication table
repeated addition
reordering
mental method
written method
reduce
increase
combination
multiply / multiplied
fact family
calculation
divide
remainder
multiple / multiples
rebalancing
product
divisiblecolumn addition
column subtraction
multiple(s)
inverse operations
remainder
associative law
short multiplication
base fact
comparison
long division
correspondence
scaling
integer scaling
quotient
statements
derived facts
formal written layout
product
divisible
decomposition
distributive lawoperation/operations
methods
factor
factor pairs
derive
distributive lawprime factor
common factor
short division
long multiplication
dividend
divisorlong division
common multiples
order of operations
brackets
abstract
variables
BIDMASFractionshalf / halve / halves
sharing
group / groups
grouping
part
whole
equal parts
same size
half / halve / halves
quarter / quarters
one-quarter
two-quarters
three-quarters
sharing
group / groups
grouping
part
whole
equal parts
same size
bar
numerator
denominator
equal / equally
fraction notation
1/2 1/4two-quarters
third
one-third
two-thirds
equivalent / equivalence
one whole
one and a quarter
one and two-quarters
one and a half
one and three-quarters
half as much
twice as much
numerator
denominator
fraction notation
1/3 2/4 3/4fifths
sixths
sevenths
eighths
ninths
tenths
order
unit-fraction
non-unit fractionhundredths
decimal equivalents
decimal places
decimal point
proportion
convert
proper fractions
improper fractionsmixed numbers
thousandths
per cent / %
percentagessimplify
degrees of accuracyMeasurement-timefast / faster / fastest
quick / quicker / quickest
slow / slower / slowest
early
earlier
late / later
soon
time
in order
year
month
week
day
every day
night
hour
minute
second
morning
afternoon
evening
yesterday
today
tomorrow
before
after
old / older / oldest
new / newer / newest
clock / clock face
oclock
birthday
year
month
week
day
weekday
weekend
chronological order
days of the week
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
months of the year
January
February
March
April
May
June
July
August
September
October
November
December
night
hour
minute
second
morning
afternoon
evening
yesterday
today
tomorrow
before
after
old / older
new / newer
clock / clock face
oclock
half past
birthday
watch
hour
minute
minutes past / to
quarter past / to
half past
fast / faster / fastest
quick / quicker / quickest
slow / slower / slowest
early
earlier
late / later
timeanalogue
quarter past / to
five / ten / past / to
clockwise
anticlockwise
noon
midday
midnight
intervals of timeRoman numerals to XII
am (ante meridiem)
pm (post meridiem)
duration
analogue clock
digital
digital clock
12-hour clock
24-hour clock
event
leap yearconvert
conversionMeasurement-massweigh
weight
heavy
heavier / heavier than
heaviest
light
lighter / lighter than
lightest
balance
(weighing) scales
ruler
mass
weigh
weight
heavy
heavier / heavier than
heaviest
light
lighter / lighter than
lightest
balance
(weighing) scales
ruler
mass
gram
Kilogramkilogram / kg
scalepound / lbstones
ouncesMeasurement-lengthBig/ bigger/ biggest
Small/ smaller /smallest
height
long / longer / longest
tall / taller / tallest
short / shorter / shortest
wide / wider / widest
narrow / narrower/
narrowest
far
distance
measure
height
long / longer / longest
tall / taller / tallest
short / shorter / shortest
wide / wider / widest
narrow / narrower/
narrowest
centimetre
metre
far
distance
measure
height
width
metre / m
centimetre / cm
scale
standard units
millimetre / mmperimeter
length
millimetre / mmrectilinear figure
area
dimensions
kilometre / kmcomposite
metric units
Imperial units
inch / inches / in
foot / feet / ft
yard
mile
centimetre squared (cm)
metre squared (m)
compound shapeMeasurement-capacityfull / fuller / fullest
empty / emptier / emptiest
more than
less than
half full
half
nearly full/empty
capacity
volumevolume
full / fuller / fullest
empty / emptier / emptiest
more than
less than
half full
half
quarter
capacitylitre / l
millilitre / ml
scale
quarter full
three-quarters fullpint / pt
centimetres cubed (cm)
metres cubed (m)millimetres cubed (mm)
centimetres cubed (cm)
metres cubed (m)
gallonsMeasurement-moneycoin / coins
amount
penny / pence / p
pound /
money
price
cost
buy
sell
how much / how many
coin / coins
note / notes
amount
penny / p
pound /
one penny
two pence
five pence
ten pence
twenty pence
fifty pence
combination
moneyprice
cost
amount
change
valueMeasurement- temperatureHot, hotter, hottest
Cold, colder, coldest
Warm, warmer, warmest
temperature
degrees
Celsius / C
thermometer
scaleMeasurement- speedFast, faster, fastest
Slow, slower, slowest
Quickly
Slowly
miles per hour (mph)
metres per second (m/s)
kilometres per hour (km/h)Geometry- properties of shapepattern
2-D / two-dimensional
rectangle / rectangles
square / squares
circle / circles
triangle / triangles
corner
side / sides
3-D / three-dimensional
cube / cubes
cuboid / cuboids
pyramid / pyramids
cylinder / cylinders
sphere / spheres
cone / cones
edge / edges
faces
vertex / verticies
line
straight
curved / flat
point
diagonal
oppositepattern
2-D / two-dimensional
rectangle / rectangles
square / squares
circle / circles
kite / kites
triangle / triangles
3-D / three-dimensional
cube / cubes
cuboid / cuboids
pyramid / pyramids
cylinder / cylinders
sphere / spheres
side / sides
line
straight
curved / flat
open / closed shape
corner
base
point
diagonal
pentagon / pentagons
hexagon / hexagons
heptagon / heptagons
octagon / octagons
oppositevertical
horizontal
vertex / vertices
edge / edges
face / faces
quadrilateral /
quadrilaterals
polygon / polygons
pentagon / pentagons
hexagon / hexagons
heptagon / heptagons
octagon / octagons
prism / prisms
cone / cones
symmetry
line of symmetry
surface
mirror line
properties
classify
opposite
regular
irregularorientation
degree / degrees
angle
right angle
perpendicular
parallel
horizontal
vertical
quadrilateral
polyhedron
polyhedral
acute angle
obtuse angle
reflection
orientation
three-dimensions
right-angle triangle
internal angle
congruentclassify
nonagon / nonagons
decagon / decagons
isosceles
scalene
equilateral
parallelogram /
parallelograms
trapezium / trapeziums
protractor
adjacent
regular
irregular
rhombus / rhombuses
geometric shapes
internal angle
congruentdiagonal
point
reflection
straight line (180)
one whole turn (360)
reflex angle
regular polygon
irregular polygon
angles around a point
missing angle
diagonal
netdissect / dissection
net
radius
diameter
circumference
vertically opposite
complementary angles
dimensions
composite
exterior angle
intersect
bisectGeometry- position and directionWhere
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top
middle
bottom
on top of
in front of
behind
between
above
below
underneath
to the side
next to
around
near
close
far
up
down
forwards
backwards
inside
outside
direction
towards
away from
movement
slide
roll
turn
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bendleft
right
top
middle
bottom
on top of
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between
above
below
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around
near
close
far
up
down
forwards
backwards
inside
outside
clockwise
repeated
position
direction
movement
whole turn
quarter turn
half-turn
three-quarter turn
full turn
underneath
to the side
next
anti-clockwise
row
columnsequence
rotate
rotation
angle
right angle
straight line
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anti-clockwise
row
column
north
south
east
west
compassnorth
south
east
west
compassco-ordinates
pairs of coordinates/
coordinate pairs
first quadrant
plot
grid
translate
translation
axis / axes
scale
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x-axis
y-axisx-axis
y-axisco-ordinate plane
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sort
group
set
listCount
sort
group
set
list
pictogram
tally chart
tallies
block diagram
table
data
category / categories
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comparing
horizontal
vertical
Venn diagram
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block graph
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axis / axesbar chart
block graph
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title
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frequent
survey
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continuous data
label
inferringlabel
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time graph
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inferring
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two-way tables
axis
pie chartpie chart
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average
data set
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convertRatio and proportiontimes as many
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ratio (a:b)
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part to part
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letter
sequence
algebraic / algebraically
equation
unknown
variable
constant
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