## Dice in a Corner

**Why I like this problem: **This it the perfect example of a low-floor and high ceiling problem. Anyone who can count to 18 can access this problem, but through questioning, teachers can bring it to a very high level. The manipulation part of the task is great for tactile learners, and student who struggle with focus or sitting still.

**Observations from class: **Students must have access to dice for this one, and I found it helpful to give them a strip of card stock which they folded into a corner. Some students wanted to stop after finding one solution, and asking questions really helped them dig in and think more deeply.

**Follow-up questions I asked: **

1. What were the touching values on your dice? Can you find a solution with different sides touching?

2. Can you find any patterns with the solutions?

3. What strategy are you using to figure out your solutions?

4. How will using a different number of dice affect your solutions?

5. How many solutions can you find with 4 dice? With 5 dice?

**Required skills / content: **Counting to 18.

**Links: **PDF / Google Doc

**Source: **https://nrich.maths.org/