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Year 4

Year 4 Programme of Study


Number – Number and place value 

Pupils should be taught to:

·         count in multiples of 6, 7, 9, 25 and 1000

·         find 1000 more or less than a given number

·         count backwards through zero to include negative numbers

·         recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)

·         order and compare numbers beyond 1000

·         identify, represent and estimate numbers using different representations

·         round any number to the nearest 10, 100 or 1000

·         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 zero and place value. 


Number – Addition and subtraction 

Pupils should be taught to:

·         add 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 why. 


Number – Multiplication and division 

Pupils should be taught to:

·         recall multiplication and division facts for multiplication tables 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 three 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 one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects. 


Number – Fractions (including decimals) 

Pupils should be taught to:

·         recognise and show, using diagrams, families of common equivalent fractions

·         count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.

·         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 ¼, ½ and ¾

·         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 units, tenths and hundredths

·         round decimals with one decimal place to the nearest whole number

·         compare numbers with the same number of decimal places up to two decimal places

·         solve simple measure and money problems involving fractions and decimals to two decimal places. 



Pupils should be taught to:

·         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 days.


Geometry – Properties of shapes 

Pupils should be taught to:

·         compare 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 two right angles by size

·         identify lines of symmetry in 2D shapes presented in different orientations

·         complete a simple symmetric figure with respect to a specific line of symmetry.      


Geometry – Position and direction 

Pupils should be taught to:

·         describe positions on a 2D 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 polygon. 



Pupils should be taught to:

·         interpret 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 graphs.