Linear functions and graphs

  • Parallel lines
    problem
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    Parallel Lines

    Age
    11 to 14
    Challenge level

    How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

  • Reflecting Lines
    problem
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    Reflecting Lines

    Age
    11 to 14
    Challenge level

    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.

  • Translating Lines
    problem
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    Translating Lines

    Age
    11 to 14
    Challenge level

    Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

  • How steep is the slope?
    problem
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    How Steep Is the Slope?

    Age
    11 to 14
    Challenge level

    On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

  • Enclosing Squares
    problem
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    Enclosing Squares

    Age
    11 to 14
    Challenge level

    Can you find sets of sloping lines that enclose a square?

  • Diamond Collector
    game
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    Diamond Collector

    Age
    11 to 16
    Challenge level

    Collect as many diamonds as you can by drawing three straight lines.

  • Which is cheaper?
    problem
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    Which Is Cheaper?

    Age
    14 to 16
    Challenge level

    When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

  • Perpendicular lines
    problem
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    Perpendicular Lines

    Age
    14 to 16
    Challenge level

    Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

  • 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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    At Right Angles

    Age
    14 to 16
    Challenge level

    Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

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