and the task was developed by Dave Kirkby (then at Sheffield City Polytechnic)
a ppt is here
it can be beneficial to start work on the sum of the interior angles of polygons with a restricted set of angles, in this case multiples of 60 degrees (and some of 30 degrees)
[companion resources involve multiples of 45 degrees, on a square grid]
the work begins by finding the angles between any two lines drawn connecting dots
"if one point holds hands with two others what situations are there?"
there are 6 different angles, joining dots:
30, 60, 90,
120, 240 and 300
(7 if you include 180)
reasons for various angles can usually be given in relation to 60 degrees being the angle in an equlateral triangle
[this links with the sheets for 'isometric angles']
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