Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
If you move the tiles around, can you make squares with different coloured edges?
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
Can you work out what step size to take to ensure you visit all the dots on the circle?
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
