Why do this problem?
gives pupils the opportunity to use their skills of addition and multiplication in a problem-solving situation. It is also useful in expecting learners to persevere while exploring. It also requires pupils to explain what they notice and, when taking it further, to produce a proof.
It would be good to have 16 dice for each pair/group to use to duplicate the given situation. Then ask them about getting the total and how they achieved that. (This can be very enlightening as to how the children, faced with an unusual calculation go about getting a solution.) The rules need to be very clearly stated and checked with the pupils and then they can investigate other
Some may feel that they can quickly move on to recording their arrangements and so may not need the dice.
There can be many opportunities for the questions, "What have you noticed?", "Tell me about this" , "What will you do next?".
The final paragraph can be used for this/these pupil/s.
Some pupils may need help in keeping the dice together. A frequent reminder by asking "What were the rules?" may be necessary.