Ordering fractions β common multiple denominators Name: .................................................................................... Date: ............................... Colour the shapes to show the given fractions. π π π π π π π π π π π π Now write the fractions in order from smallest to biggest. Circle the statements that are true. π π < π π π π = π π π π > π π I can compare and order fractions whose denominators are all multiples of the same number. © www.teachitprimary.co.uk 2015 π π > π π π π = π π I can do this! 25191 π π = π π π π > π π Iβm getting there. I need help! Page 1 of 9 Ordering fractions β common multiple denominators Name: .................................................................................... Date: ............................... Colour the shapes to show the given fractions. π ππ π ππ π π π π π ππ π ππ Which of the fractions above are less than ½? Which of the fractions above are greater than ½? Write =, < or > for each pair of fractions. π π π ππ π π π ππ π π π ππ π π π ππ π π π π π π π ππ π π π ππ π π π ππ I can compare and order fractions whose denominators are all multiples of the same number. © www.teachitprimary.co.uk 2015 I can do this! 25191 Iβm getting there. I need help! Page 2 of 9 Ordering fractions β common multiple denominators Name: .................................................................................. Date: ............................... Colour the shapes to show the given fractions. π ππ π ππ π π π π π π π ππ π ππ π π Find as many equivalent fractions as you can. The first one is done for you. 1 2 = 2 4 I can compare and order fractions whose denominators are all multiples of the same number. © www.teachitprimary.co.uk 2015 I can do this! 25191 Iβm getting there. I need help! Page 3 of 9 Ordering fractions β common multiple denominators Teaching notes and answers Colour the shapes to show the given fractions. The solutions below are examples β children may (and should be encouraged to) come up with alternatives. π π π π π π π π π π π π Now write the fractions in order from smallest to biggest. The diagrams above should help as they help the child to recognise equivalent fractions. If they find ordering difficult, convert all the fractions to eighths. 1 8 1 4 1 2 5 8 3 4 7 8 Circle the statements that are true. Children may need to be reminded about the meanings of =, < and >. As above, converting all of the fractions to eighths or using the diagrams will help. π π = π π π π < π π π π > π π © www.teachitprimary.co.uk 2015 π π > π π π π = π π 25191 π π = π π π π > π π Page 4 of 9 Ordering fractions β common multiple denominators Colour the shapes to show the given fractions. There are alternative solutions that can be found. To challenge more able children, ask them 3 questions such as, βHow many different ways can you shade 10 ? They may need blank grids to investigate (included after these notes). π ππ π ππ π π π π π ππ π ππ Children will need to realise that a half is equivalent to five tenths. By converting the fractions to tenths (the diagrams above will help) they should be able to compare them to a half. Which of the fractions above are less than ½? Which of the fractions above are greater than ½? π π π ππ π ππ π ππ π ππ π π The blank grids can be used as support for this activity β ask the children to shade the given fractions side by side to compare them. π π < π ππ π π > π ππ π π = π ππ π π < π ππ π π < π π π π > π ππ π π = π ππ π π < π ππ © www.teachitprimary.co.uk 2015 25191 Page 5 of 9 Ordering fractions β common multiple denominators Colour the shapes to show the given fractions. Emphasise that the number of squares is important, but not which squares are coloured. Below are some examples that the children may not find but could be asked to answer in reverse i.e. what fraction is shaded? Children should be encouraged to see the connection between this activity and division. For 20 example, 4 = 5 therefore to show a quarter, shade in five squares. Fractions that add to make 1 can be represented as inverses of each other. See ¼ and ¾ below as an example. Children could use the blank grids (to be found after the teacherβs notes) to find other examples. π ππ π ππ π π π π π π π ππ π ππ π π Find as many equivalent fractions as you can. The first one is done for you. Children could use the following blank grids to investigate. Children should understand how to generate equivalent fractions by multiplying the numerator and the denominator by the same amount. 1 2 = 2 4 © www.teachitprimary.co.uk 2015 25191 Page 6 of 9 Ordering fractions β common multiple denominators Blank grids for investigating equivalent fractions for eighths © www.teachitprimary.co.uk 2015 25191 Page 7 of 9 Ordering fractions β common multiple denominators Bank grids for equivalent fractions for tenths © www.teachitprimary.co.uk 2015 25191 Page 8 of 9 Ordering fractions β common multiple denominators Blank grids to investigate equivalent fractions for twentieths: © www.teachitprimary.co.uk 2015 25191 Page 9 of 9
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