Challenge Level

This challenge involves making a

This is how you make a dice stair:

1. Take six dice.

2. Place the dice in three towers: a tower of one, a tower of two and a tower of three.

3. Place the towers in the staircase format.

4. The top faces of the dice that make the 'steps' must now show three consecutive numbers in ascending order for this arrangement to be a dice stair.

For example, in the picture above

- Make some sets of dice stairs, as described above.
- What do you notice as you explore how to make dice stairs?
- Explain how you found your dice stairs.
- How do you know that you have found them all?

- Try the challenge above using four more dice to make dice stairs.
- How have you used what you learnt using six dice?
- How do you know that you have found all the dice stairs arrangements?

What insights do you have that would help you to try to make dice stairs that have five steps?

Justify whatever conclusions you come to when you set out to make your five-step stairs.