Area - triangles, quadrilaterals, compound shapes

  • Uncanny triangles
    problem

    Uncanny triangles

    Age
    7 to 11
    Challenge level
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    Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?
  • Triangle transformation
    problem

    Triangle transformation

    Age
    7 to 14
    Challenge level
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    Start with a triangle. Can you cut it up to make a rectangle?
  • Isometric Areas
    problem
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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
    problem
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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
    problem
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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
    problem
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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
    problem
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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
    problem
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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
    problem
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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
    problem
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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?