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I wonder what we can find out about the areas of shapes drawn on dotty grids...
This video might give you some ideas.
Play with the dotted grid below, or print out some dotty paper.
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
A picture is made by joining five small quadrilaterals together to make a large quadrilateral. Is it possible to draw a similar picture if all the small quadrilaterals are cyclic?
It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.