Year 6 solved problems related to dice. They made generalisations and then proved them. They noticed that the sum of the numbers on the top of three dice added to the sum of the bottom numbers of each dice - always added to 21. Using this they could predict the sum of the bottom numbers only knowing the sum of the top numbers.
Year 6 also made 'dice trains' following specific rules: carriages were joined by matching the numbers on the dice. The funnel had to be equal to the sum of the tops of the visible carriages. The children noticed that the maximum number of carriages was 7 because the largest the funnel could be is 6.
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