This is an investigation, leading to the derivation and use of Pythagoras' Theorem in two and three dimensions. The initial focus of this unit involves students in aspects of geometry from levels 4 and 5 of the curriculum, to establish the groundwork necessary for the final stages of the unit.

devise an algebraic rule to identify tilted squares that can fit on geoboards of different sizes devise an algebraic rule to identify the size of the smallest square geoboard on which tilted squares can fit devise and use an algebraic rule for Pythagoras’ theorem devise algebraic rules to find...