2D shapes and their properties

  • Regular Rings 2
    problem

    Regular rings 2

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    What shape is made when you fold using this crease pattern? Can you make a ring design?
  • Shapely Tiling
    problem

    Shapely tiling

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?
  • Overlapping Again
    problem

    Overlapping again

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

    What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

  • Shaping Up
    problem

    Shaping up

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
  • Quad match
    problem

    Quad match

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

    A task which depends on members of the group noticing the needs of others and responding.

  • Seeing Rhombuses
    problem

    Seeing rhombuses

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

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

  • Count the Trapeziums
    problem

    Count the trapeziums

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    How many trapeziums, of various sizes, are hidden in this picture?
  • Board Block Challenge
    problem

    Board block challenge

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

    Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

  • article

    From one shape to another

    Read about David Hilbert who proved that any polygon could be cut up into a certain number of pieces that could be put back together to form any other polygon of equal area.

  • What shape?
    problem

    What shape?

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.