Rotations

  • Flip
    problem

    Flip

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Can you picture where this letter "F" will be on the grid if you flip it in these different ways?
  • Clock Hands
    problem

    Clock hands

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.
  • Transformation Tease
    problem

    Transformation tease

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?
  • Peg Rotation
    problem

    Peg rotation

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Can you work out what kind of rotation produced this pattern of pegs in our pegboard?
  • So it's times!
    problem

    So it's times!

    Age
    7 to 14
    Challenge level
    filled star filled star filled star

    How will you decide which way of flipping over and/or turning the grid will give you the highest total?

  • Shady Symmetry
    problem

    Shady symmetry

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

    How many different symmetrical shapes can you make by shading triangles or squares?

  • Attractive rotations
    problem

    Attractive rotations

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

    Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

  • Transformation Game
    game
    Favourite

    Transformation game

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

    Why not challenge a friend to play this transformation game?

  • ...on the wall
    problem

    ...on the wall

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

    Explore the effect of reflecting in two intersecting mirror lines.

  • Rollin' Rollin' Rollin'
    problem

    Rollin' rollin' rollin'

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?