Rotations

problem

HexPentas

Age

5 to 11

Challenge level

How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?
problem

Transforming the Letters

Age

7 to 11

Challenge level

What happens to these capital letters when they are rotated through one half turn, or flipped sideways and from top to bottom?
problem

Tiles in a Public Building

Age

7 to 11

Challenge level

What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?
game

Penta Play

Age

7 to 11

Challenge level

A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.
problem

Flip

Age

7 to 11

Challenge level

Can you picture where this letter "F" will be on the grid if you flip it in these different ways?
problem

Clock Hands

Age

7 to 11

Challenge level

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.
problem

Transformation Tease

Age

7 to 11

Challenge level

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?
problem

Peg Rotation

Age

7 to 11

Challenge level

Can you work out what kind of rotation produced this pattern of pegs in our pegboard?
problem

So It's Times!

Age

7 to 14

Challenge level

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