Compound transformations

  • Combining Transformations
    problem

    Combining Transformations

    Age
    11 to 14
    Challenge level
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    Does changing the order of transformations always/sometimes/never produce the same transformation?

  • ...on the wall
    problem
    Favourite

    ...on the Wall

    Age
    11 to 14
    Challenge level
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    Explore the effect of reflecting in two intersecting mirror lines.

  • Friezes using Logo
    problem

    Friezes Using Logo

    Age
    11 to 14
    Challenge level
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    Experimenting with variables and friezes.

  • Simplifying Transformations
    problem

    Simplifying Transformations

    Age
    11 to 14
    Challenge level
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    How many different transformations can you find made up from combinations of R, S and their inverses? Can you be sure that you have found them all?

  • Frieze Patterns in Cast Iron
    article

    Frieze Patterns in Cast Iron

    A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.

  • The Frieze Tree
    article

    The Frieze Tree

    Patterns that repeat in a line are strangely interesting. How many types are there and how do you tell one type from another?

  • Which quadratic?
    problem

    Which Quadratic?

    Age
    14 to 18
    Challenge level
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    This task develops knowledge of transformation of graphs. By framing and asking questions a member of the team has to find out which mathematical function they have chosen.

  • Squaring the rectangle
    problem

    Squaring the Rectangle

    Age
    14 to 18
    Challenge level
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    Can you find a way to turn a rectangle into a square?