
The School Curriculum at Fairfields  Key Stage 2  Year 4  Maths
Year 4 Programme of study 
Number – number and place value 
Pupils are 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 fourdigit 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 are 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 twostep problems in contexts, deciding which operations and methods to use and why.

Number – multiplication and division 
Pupils are 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 twodigit and threedigit numbers by a onedigit 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 are 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 nonunit 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 twodigit number by 10 and 100, identifying the value of the digits in the answer as ones, 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.

Measurement 
Pupils are 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 24hour clocks
 solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

Number – number and place value 
Pupils are taught to:
 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 twos, fives and tens
 given a number, identify one more and one 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 words.

Geometry – properties of shapes 
Pupils are 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 are 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.

Statistics 
Pupils are 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.

