Dice Investigation

Throw 2 dice and multiply the scores. Investigate!

[Click on the dice pictures]

Here are some tables that you can type into. They may help with your investigation.

Experimental Results:

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Possibility Space:

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Investigations Home

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

A mathematical investigation is quite different to other mathematical activities. The best investigations are open ended and allow students to choose the way they work and how they record their findings. It is one of the few occasions when 'going off on a tangent' is not only acceptable but actively encouraged (within reason).

Students may ask for 'the answers' but this supposes that the activity is closed. Investigations can always be extended by varying the initial instructions or asking the question 'what if...?'. Sometimes students point out that the instructions are ambiguous and can be interpreted in different ways. This is fine and the students are encouraged to explain how they interpreted the instructions in their report.

Some students may benefit from a writing frame when producing the reports of their investigations. Teachers may suggest sections or headings such as Introduction, Interpretation, Research, Working and Conclusion or something similar.

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Arrange the twelve numbers in the triangles on the hexagram so that the numbers in each line of five triangles add up to the same total. So far this activity has been accessed 23 times and 3 people have earned a Transum Trophy for completing it.

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