Mathematics — Year 3

Number and Place Value

  • 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

Addition nd Subtraction

  • 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

Multiplication and Division

  • 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.

Fractions

  • 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

  • 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 a Shape

  • 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

  • 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