Area - squares and rectangles

  • Fencing Lambs
    problem

    Fencing lambs

    Age
    7 to 11
    Challenge level
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    A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
  • Making Squares
    problem

    Making squares

    Age
    7 to 11
    Challenge level
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    Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?
  • My New Patio
    problem

    My new patio

    Age
    7 to 11
    Challenge level
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    What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
  • Pebbles
    problem

    Pebbles

    Age
    7 to 11
    Challenge level
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    Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

  • Tiles on a Patio
    problem

    Tiles on a patio

    Age
    7 to 11
    Challenge level
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    How many ways can you find of tiling the square patio, using square tiles of different sizes?
  • content-03-01-cupboardlove2-sol1.gif
    problem

    Geoboards

    Age
    7 to 11
    Challenge level
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    This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
  • Approaches to Area
    article

    Approaches to area

    This article for teachers gives some food for thought when teaching ideas about area.
  • Exploration versus Calculation
    article

    Exploration versus calculation

    This article, written for teachers, discusses the merits of different kinds of resources: those which involve exploration and those which centre on calculation.
  • From One Shape to Another
    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.
  • Paper Halving
    problem

    Paper halving

    Age
    5 to 11
    Challenge level
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    In how many ways can you halve a piece of A4 paper? How do you know they are halves?