Reflections

  • Exploded Squares
    problem
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    Exploded Squares

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    Can you create symmetrical designs by cutting a square into strips?

  • problem
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    Clocks

    Age
    7 to 11
    Challenge level
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    These clocks have been reflected in a mirror. What times do they say?

  • Let Us Reflect
    problem
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    Let Us Reflect

    Age
    7 to 11
    Challenge level
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    Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

  • National Flags
    problem
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    National Flags

    Age
    7 to 11
    Challenge level
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    This problem explores the shapes and symmetries in some national flags.

  • ReflectoR ! RotcelfeR
    problem
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    ReflectoR ! RotcelfeR

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    Can you place the blocks so that you see the reflection in the picture?

  • Reflecting Squarely
    problem
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    Reflecting Squarely

    Age
    11 to 14
    Challenge level
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    In how many ways can you fit all three pieces together to make shapes with line symmetry?

  • Shady Symmetry
    problem
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    Shady Symmetry

    Age
    11 to 14
    Challenge level
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    How many different symmetrical shapes can you make by shading triangles or squares?

  • Mirror, mirror...
    problem
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    Mirror, Mirror...

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

    Explore the effect of reflecting in two parallel mirror lines.

  • Reflecting Lines
    problem
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    Reflecting Lines

    Age
    11 to 14
    Challenge level
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    Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

  • Transformation Game
    game
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    Transformation Game

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

    Why not challenge a friend to play this transformation game?