Graph sketching

  • Slide
    problem
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    Slide

    Age
    16 to 18
    Challenge level
    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
    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

    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

    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

    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

    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

    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

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

  • Small pepper seedlings in orange pots.
    problem
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    Negatively Triangular

    Age
    14 to 16
    Challenge level

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

  • problem
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    Immersion

    Age
    14 to 16
    Challenge level

    Various solids are lowered into a beaker of water. How does the water level rise in each case?

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