Gradients

  • How far does it move?
    problem
    Favourite

    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.

  • Parallel lines
    problem
    Favourite

    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
    Favourite

    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
    Favourite

    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
    Favourite

    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?

  • Up and across
    problem
    Favourite

    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.

  • Diamond Collector
    game
    Favourite

    Diamond Collector

    Age
    11 to 16
    Challenge level

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

  • Which is cheaper?
    problem
    Favourite

    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?

  • Five green equilateral triangles, arranged to almost make a complete pentagon.
    problem
    Favourite

    Doesn't Add Up

    Age
    14 to 16
    Challenge level

    In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

  • Perpendicular lines
    problem
    Favourite

    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?

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