2D shapes and their properties

'What Shape?' activity for adult and child. Can you ask good questions so you can work out which shape your partner has chosen?

Can Jo make a gym bag for her trainers from the piece of fabric she has?

Can you spot circles, spirals and other types of curves in these photos?

Look at some of the patterns in the Olympic Opening ceremonies and see what shapes you can spot.

Investigate constructible images which contain rational areas.

If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?

A kite shaped lawn consists of an equilateral triangle ABC of side 130 feet and an isosceles triangle BCD in which BD and CD are of length 169 feet. A gardener has a motor mower which cuts strips of grass exactly one foot wide and wishes to cut the entire lawn in parallel strips. What is the minimum number of strips the gardener must mow?

Follow the instructions and you can take a rectangle, cut it into 4 pieces, discard two small triangles, put together the remaining two pieces and end up with a rectangle the same size. Try it!

How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?

How efficiently can you pack together disks?