Can you work out what step size to take to ensure you visit all the dots on the circle?
Can you work out how to produce different shades of pink paint?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?
Can you describe this route to infinity? Where will the arrows take you next?
Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
