Linear functions and graphs

  • Coordinate Designs
    problem

    Coordinate designs

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    This task requires learners to explain and help others, asking and answering questions.
  • Diamond Collector
    game
    Favourite

    Diamond collector

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

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

  • Painting between the lines
    problem

    Painting between the lines

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    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?

  • Which is cheaper?
    problem

    Which is cheaper?

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    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?

  • Electric Kettle
    problem

    Electric kettle

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Explore the relationship between resistance and temperature

  • Perpendicular lines
    problem

    Perpendicular lines

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

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

  • Negatively Triangular
    problem

    Negatively triangular

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

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

  • problem

    At right angles

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

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

  • Four on the Road
    problem

    Four on the road

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

    Surprising transformations

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?