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This investigation is an opportunity for children to make a table to record and organise their results. It would be helpful to print a series of the triangles onto a sheet of paper and copy them for the children to draw on the pathways. Some of the inquiries you could encourage are:-
At this point, you might want to introduce Pascal's Triangle to the children.
The children could try to find connections between patterns that occur in Pascal's Triangle and in these triangular arrangements of letters.