Given a regular pentagon, can you find the distance between two non-adjacent vertices?
Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.
These practical challenges are all about making a 'tray' and covering it with paper.
What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?
Find all the different shapes that can be made by joining five equilateral triangles edge to edge.
What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
Can you prove the angle properties described by some of the circle theorems?
