Explaining, convincing and proving

  • How do you do it?
    problem
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    How Do You Do It?

    Age
    7 to 11
    Challenge level
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    This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

  • problem
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    The Car That Passes

    Age
    7 to 11
    Challenge level
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    What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

  • Journeys in Numberland
    problem
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    Journeys in Numberland

    Age
    7 to 11
    Challenge level
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    Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

  • Bryony's Triangle
    problem
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    Bryony's Triangle

    Age
    7 to 11
    Challenge level
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    Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

  • problem
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    The Domesday Project

    Age
    7 to 11
    Challenge level
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    Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

  • Going for Gold
    problem
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    Going for Gold

    Age
    7 to 11
    Challenge level
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    Looking at the Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?

  • Round a hexagon
    problem
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    Round a Hexagon

    Age
    7 to 11
    Challenge level
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    This problem shows that the external angles of an irregular hexagon add to a circle.

  • Would You Rather?
    problem
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    Would You Rather?

    Age
    7 to 11
    Challenge level
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    Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

  • A yellow bag containing some threes.
    problem
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    Play to 37

    Age
    7 to 11
    Challenge level
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    In this game the winner is the first to make the total 37. Is this a fair game?

  • Name That Triangle!
    problem
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    Name That Triangle!

    Age
    7 to 11
    Challenge level
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    Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?