Blue Coat School is a state secondary school for students aged 11-18 years in Walsall, UK.  Some of the students in this class have been using the TI-Nspire handhelds since 2008 and I have been using TI-NspireTM Navigator with these students since May 2009. In this lesson I used File transfer, Screen Capture, Live Presenter and File collection.
All of the students were able to see very quickly that, when the condition for the areas being equal was true, the triangles appeared to be right angled and, having recorded this ‘rule’ in their own words, I felt that we were in a good position to try to apply this to a new problem in a subsequent lesson when we would look at more traditional problems involving Pythagoras’ theorem.