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Year 3 Mathematics

The National Curriculum for Mathematics in Year 3.

Number & Place Value

Our children will 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 3-digit number (100s, 10s, 1s)

  • compare and order numbers up to 1,000

  • identify, represent and estimate numbers using different representations

  • read and write numbers up to 1,000 in numerals and in words

  • solve number problems and practical problems involving these ideas.

    Addition & Subtraction

    Our children will be taught to:

  • add and subtract numbers mentally, including:

    • a three-digit number and 1s

    • a three-digit number and 10s

    • a three-digit number and 100s

  • add and subtract numbers with up to 3 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.

    Multiplication & Division

    Our children will 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.


    Our children will 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.


    Our children will 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, am/pm, 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

    Properties of Shapes

    Our children will 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 2 right angles make a half-turn, 3 make three quarters of a turn and 4 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.


    Our children will 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.