By the end of Year 3 most children should be able to:

Number and Place Value

• count from 0 in 2s, 3s, 4s, 5s, 8s, 10s, 50s and 100s

• 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 in different ways (objects, money, tallies etc)

• read and write numbers up to 1000 in numerals and in words

• solve number problems and practical problems involving these ideas

• 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 column addition and subtraction

• estimate the answer to a calculation and use inverse operations to check answers (e.g. using addition to check a subtraction number sentence)

• 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 2, 3, 4, 5, 8 and 10 times tables

• solve multiplication and division number sentences using the times tables they know using mental methods.

• solve multiplication number sentences, including two-digit numbers multiplied by a one-digit number, using a formal written method.

• solve problems, including those with missing numbers, scaling up and down (e.g. making 3 times bigger), 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 set of objects, including unit fractions and non-unit fractions with small denominators

• recognise and use fractions as numbers, including 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

Properties of shapes

• 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.

Year 3