Linear functions and graphs

  • Painting between the lines
    problem

    Painting Between the Lines

    Age
    11 to 16
    Challenge level
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    In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?

  • Electric Kettle
    problem

    Electric Kettle

    Age
    14 to 16
    Challenge level
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    Explore the relationship between resistance and temperature

  • Four on the Road
    problem

    Four on the Road

    Age
    14 to 16
    Challenge level
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    Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?
  • Close to triangular
    problem

    Close to Triangular

    Age
    14 to 16
    Challenge level
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    Drawing a triangle is not always as easy as you might think!
  • Spot the difference
    problem

    Spot the Difference

    Age
    16 to 18
    Challenge level
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    If you plot these graphs they may look the same, but are they?
  • spaces for exploration
    article

    Spaces for Exploration

    Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.