NUMBER

CALCULATIONS (+, –, ÷, ×)

Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication

Divide numbers up to 4 digits by a two-digit number using the formal written method of short division and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context

FRACTIONS

Use common factors to simplify fractions; use common multiples to express fractions in the same denomination

Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

Multiply simple pairs of proper fractions, writing the answer in its simplest form `{`eg: ¼ × ½= ⅛`}`

Associate a fraction with division to calculate decimal fraction equivalents (eg: 0.375) for a simple fraction `{`eg: ⅜ `}`

Identify the value of each digit to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places

RATIO AND PROPORTION

Solve problems involving the relative sizes of two quantities, where missing values can be found by using integer multiplication and division facts

Solve problems involving the calculation of percentages `{`eg: of measures such as 15% of 360`}` and the use of percentages for comparison

MEASUREMENT

Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation of up to three decimal places

Calculate, estimate and compare volume of cubes and cuboids using standard units, including centimetre cubed (cm³) and cubic metres (m³), and extending to other units `{`eg: mm³ and km³`}`

GEOMETRY shape properties

Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles