Year 4 Mathematics

Autumn

Number and Place Value

  • Count in multiples of 6, 7, 9, 25 and 1000.
  • Find 1000 more or less than a given number.
  • 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.
  • Count backwards through zero to include negative numbers.

Addition and Subtraction

  • 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.

Measurement: length and perimeter

  • Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
  • Convert between different units of measure [for example, kilometre to metre]

Multiplication and Division

  • Recall and use multiplication and division facts for multiplication tables up to 12 Γ— 12.
  • Count in multiples of 6, 7, 9. 25 and 1000
  • 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.
  • 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.

Spring

Number: multiplication and division

  • Recall and use multiplication and division facts for multiplication tables up to 12 Γ— 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.

Measurement: area

  • Find the area of rectilinear shapes by counting squares.

Number: fractions

  • 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.

Number: decimals

  • Recognise and write decimal equivalents of any number of tenths or hundredths.
  • Find the effect of dividing a one or two digit number by 10 or 100, identifying the value of the digits in the answer as ones, tenths and hundredths
  • Solve simple measure and money problems involving fractions and decimals to two decimal places.
  • Convert between different units of measure [for example, kilometre to metre]

Summer

Number: decimals

  • Compare numbers with the same number of decimal places up to two decimal places.
  • Round decimals with one decimal place to the nearest whole number.
  • Recognise and write decimal equivalents to quarter, half and three quarters.
  • Find the effect of dividing a one or two digit number by 10 or 100, identifying the value of the digits in the answer as ones, tenths and hundredths

Measurement: money

  • Estimate, compare and calculate different measures, including money in pounds and pence.
  • Solve simple measure and money problems involving fractions and decimals to two decimal places.

Measurement: time

  • Convert between different units of measure [for example, kilometre to metre; hour to minute]
  • 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.

Statistics

  • 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.

Geometry: properties of shape

  • Identify acute and obtuse angles and compare and order angles up to two right angles by size.
  • Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.
  • 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.

Geometry: position and direction

  • Describe positions on a 2-D grid as coordinates in the first quadrant.
  • Plot specified points and draw sides to complete a given polygon.
  • Describe movements between positions as translations of a given unit to the left/ right and up/ down.