Exploring and noticing

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.