Triangles

  • Possible Pairs
    problem

    Possible pairs

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • Triangle in a Square
    problem

    Triangle in a square

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?
  • Regular Rings 1
    problem

    Regular rings 1

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
  • Egyptian Rope
    problem

    Egyptian rope

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

  • content-03-01-cupboardlove2-sol1.gif
    problem

    Folding

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    What shapes can you make by folding an A4 piece of paper?
  • Diagrams
    problem

    Diagrams

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    A group activity using visualisation of squares and triangles.
  • Inside Seven Squares
    problem

    Inside seven squares

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?

  • Timber!
    problem

    Timber!

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    How can the school caretaker be sure that the tree would miss the school buildings if it fell?
  • More Transformations on a Pegboard
    problem

    More transformations on a pegboard

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

  • Tessellating Transformations
    problem

    Tessellating transformations

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Can you find out how the 6-triangle shape is transformed in these tessellations? Will the tessellations go on for ever? Why or why not?