To support children in getting to grips with the concept of fractions it is important to make sure they have lots of practical and varied experience using objects, shapes and quantities. Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. The Egyptians expressed all fractions as the sum of different unit fractions. Choose some fractions and add them together. Try this matching game and see. Work out the fractions to match the cards with the same amount of money.
Age 16 to 18 Challenge Level: In our Early Fraction Development article , which is also part of the first group of resources in this feature, Bernard Bagnall describes his experiences of using these two tasks, and others, many times with groups of children and suggests further ideas using paper. Fractions Jigsaw Age 11 to 14 Challenge Level: Age 7 to 11 Challenge Level: And how often do we vary the ‘whole’? Fractional Wall Age 7 to 11 Challenge Level:
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
There are some water lilies in a lake. An environment which simulates working with Cuisenaire rods. Fraction Lengths Age 7 to 11 Challenge Level: An activity for teachers to initiate that adds to learners’ developing understanding of fractions. The tasks in this group reflect a progression of ideas associated with fractions but fraxtions also offer opportunities for learners to develop their problem-solving and reasoning skills.
Maths Search :
Imagine a strip with a mark somewhere along it. This article, lroblem for primary teachers, links to rich tasks which will help develop the underlying concepts associated with fractions and offers some suggestions for models and images that help. In this feature we offer rich tasks to build learners’ deep conceptual understanding of fractions. What Do You See Here? In a certain community two thirds of the adult men are married to three quarters of the adult women.
A Sudoku with clues as ratios. This article, written for primary teachers, links to rich tasks which will help develop the underlying concepts associated with fractions and offers some suggestions for models and images that help support ideas around fractions.
Try this matching game and see. Weekly Problem 46 – Which of these fractions has greatest value? Fractions – Sequences and Patterns Exploring probblem patterns and sequences generated with fractions.
An environment which simulates working with Cuisenaire rods. Can you picture it?
More Fractions Upper Primary
Mike and Monisha meet at the race track, which is m round. This task offers opportunities to subtract fractions using A4 paper. Investigate the successive areas of light blue in these diagrams. In a similar way to Paper Halvingthis activity encourages learners to explore fractions as area. How long could he make his peaches last for?
Almost One :
Learners have to make a decision about the best table to stand at if the chocolate on it is shared between everyone at that table. Diminishing Returns Age 11 to 14 Challenge Level: Can you work out the next two rows? The second group focuses on the progression of ideas associated with fractions, through a problem-solving lens. Of course, by their very nature, rich tasks will also provide opportunities for children to work like a mathematician and so help them develop their problem-solving skills alongside this conceptual understanding.
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Andy’s Marbles Age 7 to 11 Challenge Level: Rod Fractions Age 11 to 14 Challenge Level: The area that they cover doubles in size every day. Fold it in the middle so that the nich reaches back to the top.
Can you find combinations of strips of paper which equal the length of the black strip? They provide a chance for meaningful mathematical discussion and sharing of current understanding, in addition to offering opportunities for challenging misconceptions.