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Year 4 Mathematics

The National Curriculum for Mathematics in Year 4.

Number & Place Value

Our children will be taught to:

  • count 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 value.

    Addition & Subtraction

    Our children will 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.

    Multiplication & Division

    Our children will 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 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 objects.

    Fractions (including decimals)

    Our children will 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 a 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 ¼; ½; 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 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 places.


    Our children will 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

    Properties of Shape

    Our children will 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 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.

    Position & Direction

    Our children will be taught to:

  • 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 polygon.


    Our children will 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.