Year 3

The mathematics learnt in Year 3 is fundamental to building understanding in more advanced concepts. Key areas for the year are:

  • mental and written calculations

  • multiplication tables knowledge

  • understanding of, and calculating with fractions

  • the place value of decimals

  • reading accurately, and converting between, units of time

  • understanding the concept of angles

Below are the expectations of the Walhampton mathematics curriculum for Year 3. These form the basis of the 'expected' attainment grade. It is anticipated that some children will be able to exceed these objectives and explore the topics in more depth.

Number and Place Value Skills

Children will learn to:

  • identify and represent numbers using different representations

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

  • recognise the place value of each digit in a three-digit number

  • compare and order numbers to 1000

  • round numbers to the nearest 10, 100 and 1000

  • solve problems and practical problems involving the above ideas.

Calculation

Children will learn to:

  • count in multiples of 4, 8, 50 and 100

  • find 10 or 100 more or less than a given number

  • estimate the answer to a calculation and use inverse operations to check answers

  • 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

  • solve problems including missing number problems, using number facts, place value, and more complex addition and subtraction

  • 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 involving 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

Children will learn to:

  • count up and down in tenths; recognise that tenths arise from dividing an object into ten equal parts and in dividing one-digit numbers or quantities by ten.

  • recognise, find and write fractions as a discrete set of objects: unit fractions and non-unit fractions non-unit fractions with small denominators

  • recognise and use fractions as numbers: unit fractions and non-unit fractions non-unit fractions with small denominators

  • recognise and show, using diagrams, equivalent fractions with small denominators

  • compare and order unit fractions, and fractions with the same denominators

  • add and subtract fractions with the same denominator within one whole

  • solve problems that involve all of the above.

Algebra

Children will learn to:

  • solve problems involving missing number problems.

Measurement

Children will learn to:

  • measure, compare, add and subtract:

    • lengths (m/cm/mm);

    • mass (kg/g);

    • volume/capacity (l/ml)

  • add and subtract amounts of money to give change, using both pounds and pence 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.

Geometry

Children will learn to:

  • measure the perimeter of simple 2-D shapes

  • draw 2-D shapes

  • 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 desciption 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

Children will learn to:

  • interpret and present data using bar charts, pictograms and tables

  • solve one-step and two-step questions using information presented in scaled bar charts and pictograms and tables.

To see examples of the calculation methods taught in each year group, follow this link to our calculation guidance.