Triangles

  • Isosceles Seven
    problem
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    Isosceles seven

    Age
    14 to 16
    Challenge level
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    Is it possible to find the angles in this rather special isosceles triangle?

  • Triangle in a Square
    problem

    Triangle in a square

    Age
    7 to 11
    Challenge level
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    Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?
  • Possible Pairs
    problem

    Possible pairs

    Age
    7 to 11
    Challenge level
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    In this game, you turn over two cards and try to draw a triangle which has both properties.

  • Triangle or No Triangle?
    problem
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    Triangle or no triangle?

    Age
    5 to 7
    Challenge level
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    Here is a selection of different shapes. Can you work out which ones are triangles, and why?

  • Name That Triangle!
    problem
    Favourite

    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?

  • Triangle transformation
    problem

    Triangle transformation

    Age
    7 to 14
    Challenge level
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    Start with a triangle. Can you cut it up to make a rectangle?
  • Board Block for Two
    game

    Board block for two

    Age
    5 to 7
    Challenge level
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    Board Block game for two. Can you stop your partner from being able to make a shape on the board?

  • Peg and Pin Boards
    article

    Peg and pin boards

    This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
  • Three Triangles
    problem

    Three triangles

    Age
    7 to 11
    Challenge level
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    What do you notice when you put three triangles together?
  • Constructing Triangles
    problem
    Favourite

    Constructing triangles

    Age
    11 to 14
    Challenge level
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    Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?