Locus/loci

  • Making Spirals
    problem

    Making spirals

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

  • Pole vaulting
    problem

    Pole vaulting

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    Consider the mechanics of pole vaulting
  • Construct the solar system
    problem

    Construct the solar system

    Age
    14 to 18
    Challenge level
    filled star empty star empty star
    Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
  • Mach Attack
    problem

    Mach attack

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
  • Where am I?
    problem

    Where am I?

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

    From the information you are asked to work out where the picture was taken. Is there too much information? How accurate can your answer be?

  • Like a Circle in a Spiral
    problem

    Like a circle in a spiral

    Age
    7 to 16
    Challenge level
    filled star empty star empty star
    A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels?
  • Symmetric Trace
    problem

    Symmetric trace

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    Points off a rolling wheel make traces. What makes those traces have symmetry?
  • Up and across
    problem

    Up and across

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    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.

  • Speeding up, slowing down
    problem

    Speeding up, slowing down

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

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

  • How far does it move?
    problem

    How far does it move?

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

    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.