Area - triangles, quadrilaterals, compound shapes

  • Twice as Big?
    problem
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    Twice as Big?

    Age
    7 to 11
    Challenge level
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    Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

  • Isometric Areas
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    Isometric Areas

    Age
    11 to 14
    Challenge level
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    We usually use squares to measure area, but what if we use triangles instead?

  • Tilted Squares
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    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?

  • Isosceles Triangles
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    Isosceles Triangles

    Age
    11 to 14
    Challenge level
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    Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

  • Growing Rectangles
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    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?

  • Triangles in a Square
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    Triangles in a Square

    Age
    11 to 14
    Challenge level
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    What are the possible areas of triangles drawn in a square?

  • Completing Quadrilaterals
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    Completing Quadrilaterals

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

  • More Isometric Areas
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    More Isometric Areas

    Age
    11 to 14
    Challenge level
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    Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...

  • Shear Magic
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    Shear Magic

    Age
    11 to 14
    Challenge level
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    Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

  • Quadrilaterals in a Square
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    Quadrilaterals in a Square

    Age
    11 to 14
    Challenge level
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    What's special about the area of quadrilaterals drawn in a square?