Years 5 & 6: Fractions, decimals, ratio and proportion
This list consists of visual resources, activities and games designed to support the new curriculum programme of study in Years Five and Six. Containing tips on using the resources and suggestions for further use, it covers:
Year 5: Compare and order fractions, equivalent fractions,mixed numbers and improper fractions, add and subtract fractions, multiply proper fractions and mixed numbers by whole numbers, decimal numbers as fractions, rounding decimals, compare numbers with up to three decimal places, solve problems involving decimal numbers, percentages.
Year 6: Simplifying fractions, compare and order fractions, add and subtract fractions with different denominators and mixed numbers, equivalent fractions, multiplying proper fractions, dividing proper fractions by whole numbers, decimal fraction equivalents, multiply one-digit numbers with up to two decimal places by whole numbers, use written division methods (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.
Ratio and proportion: solving problems involving: the relative sizes of two quantities where missing values can be found using integer multiplication and division facts, percentages for comparison, similar shapes where the scale factor is known or can be found and involving unequal sharing and grouping.
Visit the primary mathematics webpage to access all lists.
Links and Resources
This video shows an idea for a lesson helping children to understand equivalent fractions and how they are part of one whole. The idea from the lesson uses coloured strips to show the fractions. This links well with this interactive activity, which could demonstate how to build a fraction wall.
Containing three packs of games, investigations, worksheets and practical activities supporting the teaching and learning of fractions. The activities will help to reinforce and practise work on fractions. The bingo game in Pack 2 is a good way of practising fractions of amounts.
Pack 3 contains some interesting ways of investigating fractions as well as an activity on adding fractions using fractions with denominators that are multiples of the same number.
When ordering decimals, children will sometimes see them as whole numbers, saying for example 0.79 > 0.9 because they see 79 and 9, so it is important that they understand the value of each decimal place. This resource helps children to avoid developing misconceptions around the size of fractions and decimals by using scales and areas to represent them. It could be used with the whole class or with specific groups of children needing support in their understanding, depending on their age and level.
Fractions shows a strip that can be divided into a number of yellow equal parts. It can be labelled to show what proportion the coloured yellow parts are of the whole strip. This can be shown as a vulgar fraction, decimal or percentage.
The FDP converter allows a improper fraction, mixed number, decimal or percentage to be chosen and the equivalents revealed. Children could predict and show on whiteboards what they think a given improper fraction would be as a mixed number.
This resource provides varied activities which help children develop their understanding of ratio. The first six activities are aimed at primary learners, however other activities may also be suitable/adapted for use. Cooking numbers helps looks at developing understanding of ratio by solving problems in the context of cooking recipes.
An older resource with some good ideas for activities on fractions and decimals in different contexts. Dice fractions on page 8 of the pdf is a game which helps children understand how to compare and order fractions. Patterns in decimals uses fraction-to-decimal conversions to compare fractions by placing them onto a fraction wall.
This short clip looks at fractions and percentages which may be seen in a supermarket. It could be a useful starter to a lesson on problem solving involving fractions and percentages.