Clock Hands

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

Transformation Tease

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?

Penta Play

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. Play with card, or on the computer.

Shape Mapping

Age 7 to 11 Challenge Level:

In this problem you're going to explore the changes that have happened to a shape and then choose a shape that shows the same change but with a different start.

Here's an example:

 is to

as

is to A, B, C or D below?

 A B C D

Well let's look at this first one together.
We need to decide what changed the square into a rectangle. I see that it appears to have been stretched to be twice as wide. We now have to look to see if there is a shape that looks as if that triangle has been stretched in the same way. Maybe you can see straight away.

We could look at the four suggestions.
A Looks smaller
B Could be OK
C Not as high
D Just two of them
B is the one which is stretched twice as wide.

Here are some for you to try.

1.

 is to

as

is to:

 A or B or C or D

2.

 is to

as

is to

 A or B or C or D

3.

 is to

as

is to

 A or B or C or D
Can you explain why chose the shape you did in each case?

When you've done these, you might like to invent some for yourself.
Get one or two ready for someone else to do.