Curriculum Objectives

• Recognise, find and name a half as one of two equal parts of an object, shape or quantity
• Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity
• Recognise, find, name and write fractions 1/3 , 1/4 , 2/4 and 3/4 of a length, shape, set of objects or quantity
• Write simple fractions for example, 1/2 of 6 = 3
• 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 discrete set of objects: unit fractions and non-unit fractions with small denominators
• Recognise and use fractions as numbers: unit fractions and 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 [for example, 5/7 + 1/7 = 6/7 ]
• Solve problems that involve 3F1 - 3F4
• Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten
• Recognise and show, using diagrams, families of common equivalent fractions
• Add and subtract fractions with the same denominator
• Recognise and write decimal equivalents to 1/4 , 1/2 , 3/4
• Recognise and write decimal equivalents of any number of tenths or hundredths
• Round decimals with one decimal place to the nearest whole number
• Compare numbers with the same number of decimal places up to two decimal places
• 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
• 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
• Solve simple measure and money problems involving fractions and decimals to two decimal places
• Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5 ]
• Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
• Compare and order fractions whose denominators are all multiples of the same number
• Add and subtract fractions with the same denominator and denominators that are multiples of the same number
• Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
• Read and write decimal numbers as fractions [for example, 0.71 = 71/100]
• Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
• Round decimals with two decimal places to the nearest whole number and to one decimal place
• Read, write, order and compare numbers with up to three decimal places
• Solve problems involving number up to three decimal places
• Recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal
• Solve problems which require knowing percentage and decimal equivalents of 1/2 , 1/4 , 1/5 , 2/5 , 4/5 and those fractions with a denominator of a multiple of 10 or 25
• 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, 1/4 × 1/2 = 1/8]
• Divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6 ]
• Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8]
• Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to three decimal places
• Multiply one-digit numbers with up to two-decimal places by whole numbers
• Use written division methods in cases where the answer has up to two 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

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