2D shapes and their properties

  • Opposite vertices
    problem
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    Opposite Vertices

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

    Can you recreate squares and rhombuses if you are only given a side or a diagonal?

  • Efficient cutting
    problem
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    Efficient Cutting

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

  • LOGO Challenge 10 - Circles
    problem

    Logo Challenge 10 - Circles

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    In LOGO circles can be described in terms of polygons with an infinite (in this case large number) of sides - investigate this definition further.

  • LOGO Challenge 6 - Triangles and Stars
    problem

    Logo Challenge 6 - Triangles and Stars

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Recreating the designs in this challenge requires you to break a problem down into manageable chunks and use the relationships between triangles and hexagons. An exercise in detail and elegance.

  • Square It
    problem
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    Square It

    Age
    11 to 16
    Challenge level
    filled star empty 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 square.

  • LOGO Challenge 11 - More on Circles
    problem

    Logo Challenge 11 - More on Circles

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Thinking of circles as polygons with an infinite number of sides - but how does this help us with our understanding of the circumference of circle as pi x d? This challenge investigates this relationship.

  • LOGO Challenge 12 - Concentric Circles
    problem

    Logo Challenge 12 - Concentric Circles

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Can you reproduce the design comprising a series of concentric circles? Test your understanding of the realtionship betwwn the circumference and diameter of a circle.

  • Parallelogram It
    problem
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    Parallelogram It

    Age
    11 to 16
    Challenge level
    filled star empty 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 parallelogram.

  • Yellow drawstring bag.
    problem

    Gym Bag

    Age
    11 to 16
    Challenge level
    filled star filled star empty star

    Can Jo make a gym bag for her trainers from the piece of fabric she has?