Visualising and representing

  • Constructing Triangles
    problem

    Constructing triangles

    Age
    11 to 14
    Challenge level
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    Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

  • Snail One Hundred
    game
    Favourite

    Snail one hundred

    Age
    5 to 7
    Challenge level
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    In this game, you throw a dice and move counters along the snail's body and in a spiral around the snail's shell. It is about understanding tens and ones.

  • Let us divide!
    problem

    Let us divide!

    Age
    7 to 11
    Challenge level
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    Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?
  • How do you see it?
    problem

    How do you see it?

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

    Here are some short problems for you to try. Talk to your friends about how you work them out.

  • That number square
    problem

    That number square

    Age
    5 to 11
    Challenge level
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    Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
  • How would we count?
    problem

    How would we count?

    Age
    5 to 11
    Challenge level
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    An activity centred around observations of dots and how we visualise number arrangement patterns.

  • Trig reps
    problem

    Trig reps

    Age
    16 to 18
    Challenge level
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    Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?
  • Polar Bearings
    problem

    Polar bearings

    Age
    16 to 18
    Challenge level
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    What on earth are polar coordinates, and why would you want to use them?
  • Factorising with Multilink
    problem

    Factorising with multilink

    Age
    14 to 16
    Challenge level
    filled star empty star empty star
    Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
  • Always a multiple?
    problem

    Always a multiple?

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

    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...