Compound transformations

  • Twice as Big?
    problem
    Favourite

    Twice as Big?

    Age
    7 to 11
    Challenge level

    Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

  • Mirror, mirror...
    problem
    Favourite

    Mirror, Mirror...

    Age
    11 to 14
    Challenge level

    Explore the effect of reflecting in two parallel mirror lines.

  • Transformation Game
    game
    Favourite

    Transformation Game

    Age
    11 to 14
    Challenge level

    Why not challenge a friend to play this transformation game?

  • ...on the wall
    problem
    Favourite

    ...on the Wall

    Age
    11 to 14
    Challenge level

    Explore the effect of reflecting in two intersecting mirror lines.

  • Sine Problem
    problem

    Sine Problem

    Age
    16 to 18
    Challenge level
    In this 'mesh' of sine graphs, one of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.
  • Screwed-up
    problem

    Screwed-Up

    Age
    11 to 14
    Challenge level
    A cylindrical helix is just a spiral on a cylinder, like an ordinary spring or the thread on a bolt. If I turn a left-handed helix over (top to bottom) does it become a right handed helix?
  • Counting Triangles
    problem

    Counting Triangles

    Age
    11 to 14
    Challenge level
    Triangles are formed by joining the vertices of a skeletal cube. How many different types of triangle are there? How many triangles altogether?
  • content-03-01-cupboardlove2-sol1.gif
    problem

    Transformations Tables

    Age
    7 to 11
    Challenge level
    These grids are filled according to some rules - can you complete them?
  • Rots and Refs
    problem

    Rots and Refs

    Age
    16 to 18
    Challenge level
    Follow hints using a little coordinate geometry, plane geometry and trig to see how matrices are used to work on transformations of the plane.
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