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Pick's Theorem

Investigation Presentation

Pick's Theorem

Or “Why work out a difficult looking shape area when you can simply count dots instead”.
This is a very nice and enjoyable presentation. It contains all the essential characteristics of a really good, mini-investigation. The introductory slide shows a set of animated and colourful shapes and the investigation is then introduced together with some help in getting started. Students are encouraged to draw at least 10 shapes on square spotty paper (provided as a printable worksheet if needed) and tabulate results. A later slide shows a table of results and asks “Have you discovered the Theorem”, before it is finally stated.
We conclude with some complicated looking shapes that are displayed and students are asked to calculate their areas (without counting squares). Some should be able to shout out the answers almost instantly using the result of the Theorem.

This is good fun to deliver with no preparation needed on the part of the teacher (except for paper) and is suitable for students of all ages and ability levels at Primary/Elementary Schools and Secondary/High Schools. It would also make a good cover lesson. If it is received as well as NUMBER SPIRALS then it is sure to become a popular maths classroom activity that you will use time and time again.

Slides Animation Sound Worksheets Rating
6 y n y rating


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