The pupils are working on a broad curriculum in mathematics including: place value; addition and subtraction; multiplication and division; fractions and decimals; measurement; geometry and statistics. Their Homework Booklets support all the areas below. They are learning their times tables up to and including 12 x12.

Number - number and place value

Pupils will count in multiples of 6, 7, 9, 25 and 1,000. They will find 1,000 more or less than a given number and count backwards through 0 to include negative numbers. They will recognise the place value of each digit in a four-digit number (1,000s, 100s, 10s, and 1s) and order and compare numbers beyond 1,000. Pupils will identify, represent and estimate numbers using different representations and solve problems. They will round any number to the nearest 10, 100 or 1,000. In Year 4, they read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of 0 and place value.

Number - addition and subtraction

In Year 4, pupils add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate. They estimate and use inverse operations to check answers to a calculation, solving addition and subtraction two-step problems.

Number - multiplication and division

Pupils recall multiplication and division facts for multiplication tables up to 12 × 12. They use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together 3 numbers. They recognise and use factor pairs and commutativity in mental calculations. They multiply two-digit and three-digit numbers by a one-digit number using formal written layout and solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.

Number - fractions (including decimals)

Pupils will recognise and show, using diagrams, families of common equivalent fractions. They count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 and dividing tenths by 10. They solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number. They also:

• add and subtract fractions with the same denominator
• recognise and write decimal equivalents of any number of tenths or hundredths
• recognise and write decimal equivalents to 1/4 , 1/2, 3/4
• find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths
• round decimals with 1 decimal place to the nearest whole number
• compare numbers with the same number of decimal places up to 2 decimal places
• solve simple measure and money problems involving fractions and decimals to 2 decimal places.

Measurement

Pupils convert between different units of measure [for example, kilometre to metre; hour to minute] and measure/calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres. They find the area of rectilinear shapes by counting squares. They estimate, compare and calculate different measures, including money in pounds and pence. Pupils read, write and convert time between analogue and digital 12- and 24-hour clocks; solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days.

Geometry - properties of shapes

In Year 4, pupils compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes. They identify acute and obtuse angles and compare and order angles. They identify lines of symmetry in 2-D shapes presented in different orientations and complete a simple symmetric figure with respect to a specific line of symmetry. They use co-ordinates to plot points on a graph and describe movement.

Statistics

In statistics, pupils interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs. They solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.