Graph sketching

  • How Many Solutions?
    problem
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    How Many Solutions?

    Age
    16 to 18
    Challenge level
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    Find all the solutions to the this equation.
  • Slide
    problem
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    Slide

    Age
    16 to 18
    Challenge level
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    This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.
  • Squareness
    problem
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    Squareness

    Age
    16 to 18
    Challenge level
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    The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?
  • problem
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    Take Your Dog for a Walk

    Age
    7 to 11
    Challenge level
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    Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

  • How far does it move?
    problem
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    How Far Does It Move?

    Age
    11 to 14
    Challenge level
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    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

  • Speeding up, slowing down
    problem
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    Speeding Up, Slowing Down

    Age
    11 to 14
    Challenge level
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    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

  • Fill Me Up
    problem
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    Fill Me Up

    Age
    11 to 14
    Challenge level
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    Can you sketch graphs to show how the height of water changes in different containers as they are filled?

  • Up and across
    problem
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    Up and Across

    Age
    11 to 14
    Challenge level
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    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

  • MathsJam Jars
    problem
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    MathsJam Jars

    Age
    14 to 16
    Challenge level
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    Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

  • Negatively Triangular
    problem
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    Negatively Triangular

    Age
    14 to 16
    Challenge level
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    How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?