Pupils should be taught to:

♦ use common factors to simplify fractions; use common multiples to express fractions in the same denomination
♦ compare and order fractions, including fractions >1
♦ 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 [for example,  ×  =  ]
♦ divide proper fractions by whole numbers [for example,  ÷ 2 =  ]
♦ associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example,  ]
♦ identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places
♦ multiply one-digit numbers with up to 2 decimal places by whole numbers
♦ use written division methods in cases where the answer has up to 2 decimal places
♦ solve problems which require answers to be rounded to specified degrees of accuracy
♦ recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

Pupils should be taught to:

♦ solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate
♦ 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 to up to 3 decimal places
♦ convert between miles and kilometres