The National Curriculum, objective by objective.

“count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number”

• Count forwards and backwards across 100

“count, read and write numbers to 100 in numerals; count in multiples of 2s, 5s and 10s”

• Read and write numbers to 100 in numerals
• Count in 2s
• Count in 5s
• Count in 10s

“given a number, identify 1 more and 1 less”

• Find 1 more than a number
• Find 1 less than a number

“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”

• Represent numbers with objects, pictures and a number line
• Compare numbers using equal to, more than, less than, most and least

“read and write numbers from 1 to 20 in numerals and words”

• Read and write numbers 1 to 20 in numerals and words

“read, write and interpret mathematical statements involving addition (+), subtraction (−) and equals (=) signs”

• Read and write number sentences with +, − and =

“represent and use number bonds and related subtraction facts within 20”

• Recall number bonds within 20
• Use related subtraction facts within 20

“add and subtract one-digit and two-digit numbers to 20, including 0”

• Add numbers to 20
• Subtract numbers to 20

“solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? − 9”

• Solve one-step addition and subtraction word problems
• Solve missing number problems

“solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher”

• Solve one-step multiplication and division problems using objects and arrays

“recognise, find and name a half as 1 of 2 equal parts of an object, shape or quantity”

• Find and name a half

“recognise, find and name a quarter as 1 of 4 equal parts of an object, shape or quantity”

• Find and name a quarter

“compare, describe and solve practical problems for: lengths and heights [for example, long/short, longer/shorter, tall/short, double/half]; mass/weight [for example, heavy/light, heavier than, lighter than]; capacity and volume [for example, full/empty, more than, less than, half, half full, quarter]; time [for example, quicker, slower, earlier, later]”

• Compare lengths and heights
• Compare mass and weight
• Compare capacity and volume
• Compare time (quicker, slower, earlier, later)

“measure and begin to record the following: lengths and heights; mass/weight; capacity and volume; time (hours, minutes, seconds)”

• Measure lengths and heights
• Measure mass and weight
• Measure capacity and volume
• Measure time in hours, minutes and seconds

“recognise and know the value of different denominations of coins and notes”

• Know the value 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]”

• Sequence events in chronological order

“recognise and use language relating to dates, including days of the week, weeks, months and years”

• Use language of dates: days, 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 times”

• Tell the time to the hour
• Tell the time to half past the hour
• Draw clock hands to show a time

“recognise and name common 2-D and 3-D shapes, including: 2-D shapes [for example, rectangles (including squares), circles and triangles]; 3-D shapes [for example, cuboids (including cubes), pyramids and spheres]”

• Recognise and name common 2-D shapes
• Recognise and name common 3-D shapes

“describe position, direction and movement, including whole, half, quarter and three-quarter turns”

• Describe position, direction and turns (whole, half, quarter, three-quarter)

“count in steps of 2, 3, and 5 from 0, and in 10s from any number, forward and backward”

• Count in 2s
• Count in 3s
• Count in 5s
• Count in 10s from any number

“recognise the place value of each digit in a two-digit number (10s, 1s)”

• Recognise place value in a two-digit number

“identify, represent and estimate numbers using different representations, including the number line”

• Identify, represent and estimate numbers on a number line

“compare and order numbers from 0 up to 100; use <, > and = signs”

• Compare numbers using <, > and =
• Order numbers up to 100

“read and write numbers to at least 100 in numerals and in words”

• Read and write numbers to 100 in numerals and words

“use place value and number facts to solve problems”

• Use place value and number facts to solve problems

“solve problems with addition and subtraction: using concrete objects and pictorial representations, including those involving numbers, quantities and measures; applying their increasing knowledge of mental and written methods”

• Solve addition and subtraction problems using mental and written methods

“recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100”

• Recall addition and subtraction facts to 20
• Derive related facts up to 100

“add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a two-digit number and 1s; a two-digit number and 10s; 2 two-digit numbers; adding 3 one-digit numbers”

• Add and subtract a two-digit number and ones
• Add and subtract a two-digit number and tens
• Add and subtract two two-digit numbers
• Add three one-digit numbers

“show that addition of 2 numbers can be done in any order (commutative) and subtraction of 1 number from another cannot”

• Understand addition is commutative but subtraction is not

“recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems”

• Use the inverse relationship to check calculations and solve missing number problems

“recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers”

• Recall the 2 times table
• Recall the 5 times table
• Recall the 10 times table
• Recognise odd and even numbers

“calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs”

• Write multiplication and division statements using ×, ÷ and =

“show that multiplication of 2 numbers can be done in any order (commutative) and division of 1 number by another cannot”

• Understand multiplication is commutative but division is not

“solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts”

• Solve multiplication and division problems in context

“recognise, find, name and write fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity”

• Find and write 1/3 of a quantity
• Find and write 1/4 of a quantity
• Find and write 2/4 of a quantity
• Find and write 3/4 of a quantity

“write simple fractions, for example 1/2 of 6 = 3 and recognise the equivalence of 2/4 and 1/2”

• Write simple fractions of a quantity
• Recognise the equivalence of 2/4 and 1/2

“choose 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”

• Estimate and measure length/height (m/cm)
• Estimate and measure mass (kg/g)
• Estimate and measure temperature (°C)
• Estimate and measure capacity (litres/ml)

“compare and order lengths, mass, volume/capacity and record the results using >, < and =”

• Compare and order lengths
• Compare and order mass
• Compare and order volume/capacity

“recognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular value”

• Recognise the £ and p symbols
• Combine amounts of money to make a value

“find different combinations of coins that equal the same amounts of money”

• Find different coin combinations for the same amount

“solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change”

• Add and subtract amounts of money
• Give change

“compare and sequence intervals of time”

• 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”

• Tell and write the time to five minutes
• Tell the time to quarter past and quarter to
• Draw clock hands to show a time

“know the number of minutes in an hour and the number of hours in a day”

• Know the number of minutes in an hour
• Know the number of hours in a day

“identify and describe the properties of 2-D shapes, including the number of sides, and line symmetry in a vertical line”

• Count the sides of 2-D shapes
• Recognise line symmetry in a vertical line

“identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces”

• Count edges of 3-D shapes
• Count vertices of 3-D shapes
• Count faces of 3-D shapes

“identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]”

• Identify 2-D shapes on the surface of 3-D shapes

“compare and sort common 2-D and 3-D shapes and everyday objects”

• Compare and sort 2-D and 3-D shapes

“order and arrange combinations of mathematical objects in patterns and sequences”

• Order and arrange 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)”

• Describe position, direction and movement in a straight line
• Describe rotation as turns and right angles (quarter, half, three-quarter, clockwise/anti-clockwise)

“interpret and construct simple pictograms, tally charts, block diagrams and tables”

• Interpret and construct pictograms
• Interpret and construct tally charts
• Interpret and construct block diagrams
• Interpret and construct tables

“ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity”

• Answer questions by counting and sorting categories by quantity

“ask-and-answer questions about totalling and comparing categorical data”

• Answer questions about totalling and comparing categorical data

“count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number”

• Count in multiples of 4, 8, 50 and 100
• Find 10 or 100 more or less than a number

“recognise the place value of each digit in a 3-digit number (100s, 10s, 1s)”

• Recognise place value in a three-digit number

“compare and order numbers up to 1,000”

• Compare numbers up to 1,000
• Order numbers up to 1,000

“identify, represent and estimate numbers using different representations”

• Identify, represent and estimate numbers

“read and write numbers up to 1,000 in numerals and in words”

• Read and write numbers to 1,000 in numerals
• Read and write numbers to 1,000 in words

“solve number problems and practical problems involving these ideas”

• Solve number and practical problems with place value

“add and subtract numbers mentally, including: a three-digit number and 1s; a three-digit number and 10s; a three-digit number and 100s”

• Mentally add and subtract a three-digit number and ones
• Mentally add and subtract a three-digit number and tens
• Mentally add and subtract a three-digit number and hundreds

“add and subtract numbers with up to 3 digits, using formal written methods of columnar addition and subtraction”

• Columnar addition (up to 3 digits)
• Columnar subtraction (up to 3 digits)

“estimate the answer to a calculation and use inverse operations to check answers”

• Estimate the answer to a calculation
• Use inverse operations to check answers

“solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction”

• Solve addition and subtraction problems, including missing number problems

“recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables”

• Recall the 3 times table
• Recall the 4 times table
• Recall the 8 times table

“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”

• Multiply a two-digit number by a one-digit number mentally
• Multiply a two-digit number by a one-digit number with formal written methods
• Write and calculate division statements

“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 objects”

• Solve integer scaling problems
• Solve correspondence problems
• Solve missing number multiplication and division problems

“count 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”

• Count up and down in tenths
• Recognise tenths as dividing by 10

“recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators”

• Find and write fractions of a set of objects

“recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators”

• Recognise and use fractions as numbers

“recognise and show, using diagrams, equivalent fractions with small denominators”

• Recognise equivalent fractions using diagrams

“add and subtract fractions with the same denominator within one whole [for example, 5/7+1/7 = 6/7]”

• Add fractions with the same denominator
• Subtract fractions with the same denominator

“compare and order unit fractions, and fractions with the same denominators”

• Compare fractions with the same denominator
• Order fractions with the same denominator

“solve problems that involve all of the above”

• Solve fraction problems

“measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)”

• Measure, compare, add and subtract lengths (m/cm/mm)
• Measure, compare, add and subtract mass (kg/g)
• Measure, compare, add and subtract volume/capacity (l/ml)

“measure the perimeter of simple 2-D shapes”

• Measure the perimeter of 2-D shapes

“add and subtract amounts of money to give change, using both £ and p in practical contexts”

• Add and subtract money to give change (£ and p)

“tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks”

• Tell and write the time from an analogue clock
• Read Roman numerals I to XII on a clock
• Read a 12-hour clock
• Read a 24-hour clock

“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”

• Read time to the nearest minute
• Record and compare time in seconds, minutes and hours
• Use time vocabulary (am/pm, noon, midnight)

“know the number of seconds in a minute and the number of days in each month, year and leap year”

• Know the number of seconds in a minute
• Know 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]”

• Compare durations of events

“draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them”

• Draw 2-D shapes
• Make 3-D shapes
• Recognise and describe 3-D shapes in different orientations

“recognise angles as a property of shape or a description of a turn”

• Recognise angles as a property of shape or 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 right angles
• Recognise right angles making half, three-quarter and complete turns
• Identify angles greater or less than a right angle

“identify horizontal and vertical lines and pairs of perpendicular and parallel lines”

• Identify horizontal and vertical lines
• Identify perpendicular lines
• Identify parallel lines

“interpret and present data using bar charts, pictograms and tables”

• Interpret data in bar charts, pictograms and tables
• Present data in 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 tables”

• Solve one-step questions from charts and tables
• Solve two-step questions from charts and tables

“count in multiples of 6, 7, 9, 25 and 1,000”

• Count in multiples of 6
• Count in multiples of 7
• Count in multiples of 9
• Count in multiples of 25
• Count in multiples of 1,000

“find 1,000 more or less than a given number”

• Find 1,000 more or less than a number

“count backwards through 0 to include negative numbers”

• Count backwards through zero into negative numbers

“recognise the place value of each digit in a four-digit number (1,000s, 100s, 10s, and 1s)”

• Recognise place value in a four-digit number

“order and compare numbers beyond 1,000”

• Order numbers beyond 1,000
• Compare numbers beyond 1,000

“identify, represent and estimate numbers using different representations”

• Identify, represent and estimate numbers

“round any number to the nearest 10, 100 or 1,000”

• Round to the nearest 10
• Round to the nearest 100
• Round to the nearest 1,000

“solve number and practical problems that involve all of the above and with increasingly large positive numbers”

• Solve number and practical problems with larger 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 value”

• Read Roman numerals to 100 (I to C)

“add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate”

• Columnar addition (up to 4 digits)
• Columnar subtraction (up to 4 digits)

“estimate and use inverse operations to check answers to a calculation”

• Estimate answers to calculations
• Use inverse operations to check answers

“solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why”

• Solve two-step addition and subtraction problems

“recall multiplication and division facts for multiplication tables up to 12 × 12”

• Recall multiplication facts up to 12 × 12
• Recall division facts up to 12 × 12

“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”

• Multiply by 0 and 1
• Divide by 1
• Multiply three numbers together

“recognise and use factor pairs and commutativity in mental calculations”

• Recognise and use factor pairs
• Use commutativity in mental calculations

“multiply two-digit and three-digit numbers by a one-digit number using formal written layout”

• Multiply a two-digit number by a one-digit number (formal written)
• Multiply a three-digit number by a one-digit number (formal written)

“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 objects”

• Use the distributive law to multiply a two-digit number by one digit
• Solve integer scaling problems
• Solve correspondence problems

“recognise and show, using diagrams, families of common equivalent fractions”

• Recognise 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”

• Count up and down in hundredths
• Recognise hundredths as dividing by 100 or 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”

• Solve problems finding fractions of quantities

“add and subtract fractions with the same denominator”

• Add fractions with the same denominator
• Subtract fractions with the same denominator

“recognise and write decimal equivalents of any number of tenths or hundreds”

• Write decimal equivalents of tenths and hundredths

“recognise and write decimal equivalents to 1/4, 1/2, 3/4”

• Write the decimal equivalent of 1/4
• Write the decimal equivalent of 1/2
• Write the decimal equivalent of 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”

• Divide a number by 10 to give a decimal
• Divide a number by 100 to give a decimal

“round decimals with 1 decimal place to the nearest whole number”

• Round decimals (1 decimal place) to the nearest whole number

“compare numbers with the same number of decimal places up to 2 decimal places”

• Compare numbers with up to 2 decimal places

“solve simple measure and money problems involving fractions and decimals to 2 decimal places”

• Solve measure and money problems with fractions and decimals

“convert between different units of measure [for example, kilometre to metre; hour to minute]”

• Convert between units of measure

“measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres”

• Calculate the perimeter of rectilinear figures

“find the area of rectilinear shapes by counting squares”

• Find the area of rectilinear shapes by counting squares

“estimate, compare and calculate different measures, including money in pounds and pence”

• Estimate, compare and calculate measures, including money

“read, write and convert time between analogue and digital 12- and 24-hour clocks”

• Read and write time on analogue and digital clocks
• Convert time between 12-hour and 24-hour clocks

“solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days”

• Convert hours to minutes
• Convert minutes to seconds
• Convert years to months
• Convert weeks to days

“compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes”

• Compare and classify quadrilaterals and triangles

“identify acute and obtuse angles and compare and order angles up to 2 right angles by size”

• Identify acute and obtuse angles
• Compare and order angles by size

“identify lines of symmetry in 2-D shapes presented in different orientations”

• Identify lines of symmetry in 2-D shapes

“complete a simple symmetric figure with respect to a specific line of symmetry”

• Complete a symmetric figure

“describe positions on a 2-D grid as coordinates in the first quadrant”

• Describe coordinates in the first quadrant

“describe movements between positions as translations of a given unit to the left/right and up/down”

• Describe movements as translations

“plot specified points and draw sides to complete a given polygon”

• Plot points and complete a polygon

“interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs”

• Interpret and present data using bar charts and time graphs

“solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs”

• Solve comparison problems from graphs
• Solve sum problems from graphs
• Solve difference problems from graphs

“read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit”

• Read, write, order and compare numbers to 1,000,000

“count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000”

• Count in steps of powers of 10 up to 1,000,000

“interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0”

• Interpret negative numbers in context
• Count forwards and backwards through zero with positive and negative numbers

“round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000”

• Round numbers up to 1,000,000

“solve number problems and practical problems that involve all of the above”

• Solve number and practical problems with large numbers

“read Roman numerals to 1,000 (M) and recognise years written in Roman numerals”

• Read Roman numerals to 1,000 and recognise years in Roman numerals

“add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)”

• Add and subtract whole numbers with more than 4 digits (formal written)

“add and subtract numbers mentally with increasingly large numbers”

• Add and subtract large numbers mentally

“use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy”

• Use rounding to check answers and judge accuracy

“solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why”

• Solve multi-step addition and subtraction problems

“identify multiples and factors, including finding all factor pairs of a number, and common factors of 2 numbers”

• Identify multiples
• Identify factors and factor pairs
• Find common factors of two numbers

“know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers”

• Use the vocabulary of prime, prime factor and composite numbers

“establish whether a number up to 100 is prime and recall prime numbers up to 19”

• Establish whether a number up to 100 is prime
• 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 up to 4 digits by a one- or two-digit number (long multiplication)

“multiply and divide numbers mentally, drawing upon known facts”

• Multiply mentally using known facts
• Divide mentally using 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”

• Divide up to 4 digits by a one-digit number (short division), interpreting remainders

“multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000”

• Multiply by 10, 100 and 1,000
• Divide by 10, 100 and 1,000

“recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)”

• Recognise and use square numbers
• Recognise and use cube numbers

“solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes”

• Solve multiplication and division problems using factors, 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 combining all four operations

“solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates”

• Solve scaling by simple fractions problems
• Solve simple rate problems

“compare and order fractions whose denominators are all multiples of the same number”

• Compare and order fractions with related denominators

“identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths”

• Identify and write equivalent fractions

“recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number”

• Convert between mixed numbers and improper fractions
• Write statements greater than 1 as a mixed number

“add and subtract fractions with the same denominator, and denominators that are multiples of the same number”

• Add and subtract fractions with the same denominator
• Add and subtract fractions with denominators that are multiples of the same number

“multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams”

• Multiply proper fractions by whole numbers
• Multiply mixed numbers by whole numbers

“read and write decimal numbers as fractions”

• Read and write decimal numbers as fractions

“recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents”

• Recognise and use thousandths

“round decimals with 2 decimal places to the nearest whole number and to 1 decimal place”

• Round decimals to the nearest whole number
• Round decimals to 1 decimal place

“read, write, order and compare numbers with up to 3 decimal places”

• Read, write, order and compare numbers with up to 3 decimal places

“solve problems involving number up to 3 decimal places”

• Solve problems with numbers up to 3 decimal places

“recognise the per cent 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”

• Understand the per cent symbol and its meaning
• Write percentages as a fraction with denominator 100
• Write percentages as a decimal

“solve problems which require knowing percentage and decimal equivalents of ½, ¼, ⅕, ⅖, ⅘ and those fractions with a denominator of a multiple of 10 or 25”

• Solve problems using percentage and decimal equivalents of common fractions

“convert between different units of metric measure”

• Convert between metric units

“understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints”

• Use approximate metric-imperial equivalences

“measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres”

• Calculate the perimeter of composite rectilinear shapes

“calculate and compare the area of rectangles (including squares), including using standard units, square centimetres (cm²) and square metres (m²), and estimate the area of irregular shapes”

• Calculate and compare the area of rectangles
• Estimate the area of irregular shapes

“estimate volume and capacity”

• Estimate volume
• Estimate capacity

“solve problems involving converting between units of time”

• Solve problems converting between units of time

“use all four operations to solve problems involving measure using decimal notation, including scaling”

• Solve measure problems using all four operations and decimals

“identify 3-D shapes, including cubes and other cuboids, from 2-D representations”

• Identify 3-D shapes from 2-D representations

“know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles”

• Estimate and compare acute, obtuse and reflex angles

“draw given angles, and measure them in degrees (°)”

• Draw given angles
• Measure angles in degrees

“identify angles at a point and 1 whole turn (total 360°)”

• Identify angles at a point (360°)

“identify angles at a point on a straight line and half a turn (total 180°)”

• Identify angles on a straight line (180°)

“identify other multiples of 90°”

• Identify multiples of 90°

“use the properties of rectangles to deduce related facts and find missing lengths and angles”

• Use properties of rectangles to find missing lengths and angles

“distinguish between regular and irregular polygons based on reasoning about equal sides and angles”

• Distinguish regular and irregular polygons

“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 changed”

• Describe the position of a shape following a reflection
• Describe the position of a shape following a translation

“solve comparison, sum and difference problems using information presented in a line graph”

• Solve comparison, sum and difference problems from a line graph

“complete, read and interpret information in tables, including timetables”

• Complete, read and interpret tables, including timetables

“read, write, order and compare numbers up to 10,000,000 and determine the value of each digit”

• Read, write, order and compare numbers to 10,000,000

“round any whole number to a required degree of accuracy”

• Round any whole number to a required degree of accuracy

“use negative numbers in context, and calculate intervals across 0”

• Use negative numbers in context
• Calculate intervals across zero

“solve number and practical problems that involve all of the above”

• Solve number and practical problems with large and negative numbers

“multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication”

• Multiply up to 4 digits by a two-digit number (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 up to 4 digits by a two-digit number (long division), interpreting remainders

“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”

• Divide up to 4 digits by a two-digit number (short division), interpreting remainders

“perform mental calculations, including with mixed operations and large numbers”

• Perform mental calculations with mixed operations and large numbers

“identify common factors, common multiples and prime numbers”

• Identify common factors
• Identify common multiples
• Identify prime numbers

“use their knowledge of the order of operations to carry out calculations involving the 4 operations”

• Use the order of operations for calculations

“solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why”

• Solve multi-step addition and subtraction problems

“solve problems involving addition, subtraction, multiplication and division”

• Solve addition problems
• Solve subtraction problems
• Solve multiplication problems
• Solve division problems

“use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy”

• Use estimation to check answers and judge accuracy

“use common factors to simplify fractions; use common multiples to express fractions in the same denomination”

• Use common factors to simplify fractions
• Use common multiples to express fractions in the same denomination

“compare and order fractions, including fractions > 1”

• Compare and order fractions, including fractions greater than 1

“add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions”

• Add and subtract fractions with different denominators
• Add and subtract mixed numbers

“multiply simple pairs of proper fractions, writing the answer in its simplest form”

• Multiply pairs of proper fractions

“divide proper fractions by whole numbers”

• Divide proper fractions by whole numbers

“associate a fraction with division and calculate decimal fraction equivalents”

• Associate a fraction with division and find decimal equivalents

“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”

• Identify the value of each digit to 3 decimal places
• Multiply and divide by 10, 100 and 1,000 (answers to 3 decimal places)

“multiply one-digit numbers with up to 2 decimal places by whole numbers”

• Multiply 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”

• Use written division with answers up to 2 decimal places

“solve problems which require answers to be rounded to specified degrees of accuracy”

• Solve problems requiring rounding to a degree of accuracy

“recall and use equivalences between simple fractions, decimals and percentages, including in different contexts”

• Recall and use equivalences between fractions, decimals and percentages

“solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts”

• Solve problems involving relative sizes of two quantities

“solve problems involving the calculation of percentages and the use of percentages for comparison”

• Calculate percentages
• Use percentages for comparison

“solve problems involving similar shapes where the scale factor is known or can be found”

• Solve problems with similar shapes and scale factors

“solve problems involving unequal sharing and grouping using knowledge of fractions and multiples”

• Solve unequal sharing problems
• Solve unequal grouping problems

“use simple formulae”

• Use simple formulae

“generate and describe linear number sequences”

• Generate and describe linear number sequences

“express missing number problems algebraically”

• Express missing number problems algebraically

“find pairs of numbers that satisfy an equation with 2 unknowns”

• Find pairs of numbers that satisfy an equation with two unknowns

“enumerate possibilities of combinations of 2 variables”

• Enumerate combinations of two variables

“solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate”

• Solve problems calculating and converting units of measure

“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 standard units of length, mass, volume and time

“convert between miles and kilometres”

• Convert between miles and kilometres

“recognise that shapes with the same areas can have different perimeters and vice versa”

• Recognise shapes with the same area can have different perimeters

“recognise when it is possible to use formulae for area and volume of shapes”

• Use formulae for area
• Use formulae for volume

“calculate the area of parallelograms and triangles”

• Calculate the area of parallelograms
• Calculate the area of triangles

“calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units”

• Calculate, estimate and compare the volume of cubes and cuboids

“draw 2-D shapes using given dimensions and angles”

• Draw 2-D shapes using given dimensions and angles

“recognise, describe and build simple 3-D shapes, including making nets”

• Recognise, describe and build 3-D shapes, including nets

“compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons”

• Compare and classify shapes by properties and sizes
• Find unknown angles in 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”

• Name parts of circles and relate diameter to radius

“recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles”

• Find missing angles at a point, on a line, and vertically opposite

“describe positions on the full coordinate grid (all 4 quadrants)”

• Describe positions on the full coordinate grid (all four quadrants)

“draw and translate simple shapes on the coordinate plane, and reflect them in the axes”

• Draw and translate shapes on the coordinate plane
• Reflect shapes in the axes

“interpret and construct pie charts and line graphs and use these to solve problems”

• Interpret and construct pie charts
• Interpret and construct line graphs

“calculate and interpret the mean as an average”

• Calculate and interpret the mean as an average