Compound transformations

problem

Which quadratic?

Age

14 to 18

Challenge level

This task develops knowledge of transformation of graphs. By framing and asking questions a member of the team has to find out which mathematical function they have chosen.
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.
problem

Square tangram

Age

7 to 11

Challenge level

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
$Who \is the \fairest of \them \all ?$

problem
Favourite

Who is the fairest of them all ?

Age

11 to 14

Challenge level

Explore the effect of combining enlargements.
problem
Favourite

...on the wall

Age

11 to 14

Challenge level

Explore the effect of reflecting in two intersecting mirror lines.
problem
Favourite

Mirror, mirror...

Age

11 to 14

Challenge level

Explore the effect of reflecting in two parallel mirror lines.
problem

Simplifying transformations

Age

11 to 14

Challenge level

How many different transformations can you find made up from combinations of R, S and their inverses? Can you be sure that you have found them all?
problem

Combining transformations

Age

11 to 14

Challenge level

Does changing the order of transformations always/sometimes/never produce the same transformation?
problem

Decoding transformations

Age

11 to 14

Challenge level

See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?
problem

Footprints

Age

16 to 18

Challenge level

Make a footprint pattern using only reflections.