Area - squares and rectangles

  • Making Rectangles
    problem

    Making rectangles

    Age
    7 to 14
    Challenge level
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    A task which depends on members of the group noticing the needs of others and responding.

  • Tilted Squares
    problem

    Tilted squares

    Age
    11 to 14
    Challenge level
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    It's easy to work out the areas of most squares that we meet, but what if they were tilted?

  • Growing Rectangles
    problem

    Growing rectangles

    Age
    11 to 14
    Challenge level
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    What happens to the area and volume of 2D and 3D shapes when you enlarge them?

  • Place your orders
    problem

    Place your orders

    Age
    11 to 14
    Challenge level
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    Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

  • Changing areas, changing perimeters
    problem

    Changing areas, changing perimeters

    Age
    11 to 14
    Challenge level
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    How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

  • Can they be equal?
    problem

    Can they be equal?

    Age
    11 to 14
    Challenge level
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    Can you find rectangles where the value of the area is the same as the value of the perimeter?

  • Perimeter Possibilities
    problem

    Perimeter possibilities

    Age
    11 to 14
    Challenge level
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    I'm thinking of a rectangle with an area of 24. What could its perimeter be?

  • Fence it
    problem

    Fence it

    Age
    11 to 14
    Challenge level
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    If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

  • Perimeter Challenge
    problem

    Perimeter challenge

    Age
    11 to 14
    Challenge level
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    Can you deduce the perimeters of the shapes from the information given?

  • Completing Quadrilaterals
    problem

    Completing quadrilaterals

    Age
    11 to 14
    Challenge level
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    We started drawing some quadrilaterals - can you complete them?