Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
Build it Up
Stage: 2 Challenge Level:
Can you find all the ways to get 15 at the top of this triangle of numbers?
Here are two kinds of spirals for you to explore. What do you notice?
For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...
Watch this video to see how to roll the dice. Now it's your turn! What do you notice about the dice numbers you have recorded?