Problem Solving

Can you solve this?

Activity: 

Problem

John was playing around with some triangles, squares and circles. He had put down the first three shapes and the sixth one. You can see them in the picture. Can he finish off the pattern so that the twelfth shape is a circle?

Variation 1: Can the twelfth shape be a square? Can it be a triangle?

Activity: 

Problem

Can you fold your paper squares to make them look like each of these designs?

Extension

Can you fold a square so that it shows 3 rectangles?
Can you fold a square so that it shows 3 triangles?
Can you fold a square so that it shows both triangles and rectangles