Year 3
3N1b - Count from 0 in multiples of 4, 8, 50 and 100
3N2b - Find 10 or 100 more or less than a given number
3N2a - Compare and order numbers up to 1000. Read and write numbers to 1000 in numerals and in words
3N3 - Recognise the place value of each digit in a three-digit number (hundreds, tens, ones)
3N4 - Identify, represent and estimate numbers using different representations
3N6 - Solve number problems and practical problems involving 3N1–3N5
3C1(+) - Add numbers mentally, including a three-digit number and ones a three-digit number and tens a three-digit number and hundreds
3C2(-) - Subtract numbers with up to three digits, using the formal written method of columnar subtraction
3C1(-) - Subtract numbers mentally, including a three-digit number and ones a three-digit number and tens a three-digit number and hundreds
3C3 - Estimate the answer to a calculation and use inverse operations to check answers
3C2(+) - Add numbers with up to three digits, using the formal written method of columnar addition
3C6 - Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables
3C4 - Solve problems including missing number problems, using number facts, place value, and more complex addition and subtraction
3C7 - Write and calculate mathematical statements for multiplication and division using the multiplication tables that children know
3C8(1) - Solve missing number problems involving multiplication and division
3C8(2) - Solve word problems involving multiplication and division, including integer scaling problems and correspondence problems
3F1b - Recognise, find and write fractions of a discrete set of objects unit fractions and non-unit fractions with small denominators
3F1c - Recognise and use fractions as numbers unit fractions and non-unit fractions with small denominators
3F1a - 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
3F4 - Add and subtract fractions with the same denominator within one whole
3F3 - Compare and order unit fractions, and fractions with the same denominators
3F2 - Recognise and show, using diagrams, equivalent fractions with small denominators
3F10 - Solve problems that involve all of the 3F1 to 3F4.
3M1c - Compare volumecapacity (lml)
3M1a - Compare lengths (mcmmm)
3M1b - Compare mass (kgg)
3M2c - Measure volumecapacity (lml)
3M2a - Measure lengths (mcmmm)
3M2b - Measure mass (kgg)
3M4a - Tell and write the time from an analogue clock; 12 hour clocks
3M4b - Tell and write the time from an analogue clock; 24 hour clocks
3M4c - Tell and write the time from an analogue clock, including using Roman numerals from I to XII
3M4d - Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours
3M4e - Know the number of seconds in a minute and the number of days in each month, year and leap year
3M4f - compare durations of events [for example to calculate the time taken by particular events or tasks
3M7 - Measure the perimeter of simple 2-D shapes
3M9b - Add and subtract lengths (mcmmm)
3M9c - Add and subtract mass (kgg)
3M9d - Add and subtract volumecapacity (lml)
3M9a - Add and subtract amounts of money to give change, using both £ and p in practical contexts
3G2 - Identify horizontal, vertical lines and pairs of perpendicular and parallel lines
3G4b - Identify right angles, recognise that two right angles make a halfturn, three make three quarters of a turn and four a complete turn
3G4a - Recognise that angles are a property of shape or a description of a turn
3S2 - Solve one-step and two-step questions using information presented in scaled bar charts and pictograms and tables
3S1 - Interpret and present data using bar charts, pictograms and tables
Year 4
4N2b - Find 1000 more or less than a given number
4N1 - Count in multiples of 6, 7, 9, 25 and 1000
4N3a - Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens and ones)
4N2a - Order and compare numbers beyond 1000
4N3b - Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value
4N4a - Identify, represent and estimate numbers using different representations
4N4b - Round any number to the nearest 10, 100 or 1000
4N5 - Count backwards through zero to include negative numbers
4N6 - Solve number and practical problems that involve 4N1–4N5 and with increasingly large positive numbers
4C3 - Estimate and use inverse operations to check answers to a calculation
4C2(-) - Subtract numbers with up to 4 digits using the formal written method of columnar subtraction.pdf
4C2(+) - Add numbers with up to 4 digits using the formal written method of columnar addition
4C6a - Recall multiplication and division facts for multiplication tables up to 12 × 12.
4C4 - Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why
4C6b - Use place value, known and derived facts to multiply and divide mentally, including
4C7 - Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
4C6c - Recognise and use factor pairs and commutativity in mental calculations
4C8(1) - Solve missing number problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit
4C8(2) - Solve word problems involving multiplying and adding, integer scaling problems and harder correspondence problems
4F4 - Add and subtract fractions with the same denominator
4F2 - Recognise and show, using diagrams, families of common equivalent fractions
4F6a - Recognise and write decimal equivalents to 14, 12, 34
4F6b - Recognise and write decimal equivalents of any number of tenths or hundredths
4F7 - Round decimals with one decimal place to the nearest whole number
4F8(2-) - Subtract decimal numbers up to one decimal place
4F8(1) - Compare numbers with the same number of decimal places up to two decimal places
4F1 - Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten
4F8(2+) - Add decimal numbers up to one decimal place
4F8(3-) - Subtract decimal numbers up to two decimal places
4F9 - Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer
4F8(3+) - Add decimal numbers up to two decimal places
4F10b - Solve simple measure and money problems involving fractions and decimals to two decimal places
4F10a - Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities
4M1 - Compare different measures, including money in pounds and pence
4M4a - Read, write and convert time between analogue and digital 12-hour clocks
4M4b - Read, write and convert time between analogue and digital 24-hour clocks
4M2 - Estimate different measures, including money in pounds and pence
4M5 - Convert between different units of measure [for example, kilometre to metre; hour to minute
4M7b - Find the area of rectilinear shapes by counting squares
4M4c - Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days
4M7a - Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
4M9 - Calculate different measures, including money in pounds and pence
4G2b - Identify lines of symmetry in 2–D shapes presented in different orientations
4G4 - Identify acute and obtuse angles and compare and order angles up to two right angles by size
4G2a - Compare and classify geometric shapes, including quadrilaterals and triangles based on their properties and sizes
4G2c - Complete a simple symmetric figure with respect to a specific line of symmetry
4P3a - Describe positions on a 2–D grid as co-ordinates in the first quadrant
4P2 - Describe movements between positions as translations of a given unit to the left right and up down
4P3b - Plot specified points and draw sides to complete a given polygon
4S2 - Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.
4S1 - Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
Year 5
5N1 - Count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000
5N3a - Determine the value of each digit in numbers up to 1 000 000
5N2 - Read, write, order and compare numbers to at least 1 000 000
5N3b - Read Roman numerals to 1000 (M) and recognise years written in Roman numerals
5N4 - Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000
5N5 - Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero
5N6 - Solve number problems and practical problems that involve 5N1–5N5
5C2(-) - Subtract whole numbers with more than 4 digits, including using the formal written method of columnar subtraction
5C2(+) - Add whole numbers with more than 4 digits, including using the formal written method of columnar addition
5C1(+) - Add numbers mentally with increasingly large numbers
5C1(-) - Subtract numbers mentally with increasingly large numbers
5C3 - Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
5C5b - Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers
5C4 - Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
5C5a - Identify multiples and factors, including finding all factor pairs of a number and common factors of two numbers
5C5c - Establish whether a number up to 100 is prime and recall prime numbers up to 19
5C5d - Recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)
5C6a - Multiply and divide numbers mentally drawing upon known facts
5C6b - Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
5C7a - 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
5C7b - 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
5C8a - Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes
5C8b - Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
5C8c - Solve problems involving multiplication and division including scaling by simple fractions and problems involving simple rates
5F3 - Compare and order fractions whose denominators are all multiples of the same number
5F4 - Add and subtract fractions with the same denominator and denominators that are multiples of the same number
5F5(1) - Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
5F2a - Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements 1 as a mixed number
5F5(2) - Multiply proper fractions and mixed numbers by whole numbers
5F2b - Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
5F6a - Read and write decimal numbers as fractions
5F6b - Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
5F7 - Round decimals with two decimal places to the nearest whole number and to one decimal place
5F8(2-) - Subtract decimal numbers up to three decimal places
5F8(2+) - Add decimal numbers up to three decimal places
5F8(1) - Read, write, order and compare numbers with up to three decimal places
5F10 - Solve problems involving number up to three decimal places
5F11 - Recognise the per cent symbol (%) and understand that per cent relates to 'number of parts per hundred
5M5 - Convert between different units of metric measure
5M7a - Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
5M4 - Solve problems involving converting between units of time
5M7b - Calculate and compare the area of rectangles (including squares)
5M9a - Use all four operations to solve problems involving measure [money] using decimal notation, including scaling
5M6 - Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints
5M9b - Use all four operations to solve problems involving measure [e.g. length] using decimal notation, including scaling
5M9c - Use all four operations to solve problems involving measure [e.g. mass] using decimal notation, including scaling
5M8 - Estimate volume [for example, using 1 cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water]
5M9d - Use all four operations to solve problems involving measure [e.g. volume] using decimal notation, including scaling
5G3b - Identify 3–D shapes including cubes and other cuboids, from 2–D representations
5G2a - Use the properties of rectangles to deduce related facts and find missing lengths and angles
5G4a - Know angles are measured in degrees estimate and compare acute, obtuse and reflex angles
5G4b - Identify angles at a point and one whole turn (total 360 degrees); angles at a point on a straight line and 12 a turn (total 180 degrees); other multiples of 90 degrees
5G2b - Distinguish between regular and irregular polygons based on reasoning about equal sides and angles
5G4c - Draw given angles and measure them in degrees
5P2 - 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
5S2 - Solve comparison, sum and difference problems using information presented in a line graph
5S1 - Complete, read and interpret information in tables, including timetables
Year 6