Maths Year 3

Year 3 programme of study

 

Number – number and place value

 

Statutory requirements

Pupils should be taught to:

  • count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number
  • recognise the place value of each digit in a three-digit number (hundreds, tens, ones)
  • compare and order numbers up to 1000
  • identify, represent and estimate numbers using different representations
  • read and write numbers up to 1000 in numerals and in words
  • solve number problems and practical problems involving these ideas.

 

Number – addition and subtraction

 

Statutory requirements

Pupils should be taught to:

  • add and subtract numbers mentally, including:
  • a three-digit number and ones
  • a three-digit number and tens
  • a three-digit number and hundreds
  • add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction
  • estimate the answer to a calculation and use inverse operations to check answers
  • solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

 

Number – multiplication and division

 

Statutory requirements

Pupils should be taught to:

  • recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables
  • write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods
  • solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.

 

Number – fractions

 

Statutory requirements

Pupils should be taught to:

  • 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
  • recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
  • recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators
  • recognise and show, using diagrams, equivalent fractions with small denominators
  • add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7]
  • compare and order unit fractions, and fractions with the same denominators
  • solve problems that involve all of the above.

 

 

Measurement

 

Statutory requirements

Pupils should be taught to:

  • measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)
  • measure the perimeter of simple 2-D shapes
  • add and subtract amounts of money to give change, using both £ and p in practical contexts
  • tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks
  • estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnight
  • know the number of seconds in a minute and the number of days in each month, year and leap year
  • compare durations of events [for example to calculate the time taken by particular events or tasks].

 

Geometry – properties of shapes

 

Statutory requirements

Pupils should be taught to:

  • draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them
  • recognise angles as a property of shape or a description of a turn
  • identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle
  • identify horizontal and vertical lines and pairs of perpendicular and parallel lines.

 

 

Statistics

 

Statutory requirements

Pupils should be taught to:

  • interpret and present data using bar charts, pictograms and tables
  • solve one-step and two-step questions [for example, ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables.