Over on WikiEducator, help yourself to some free content regarding a geometry, published since 1970s, that's given rise to several branches already, e.g. Elastic Interval Geometry (springie.com) in juxtaposition with the art-science of Kenneth Snelson (tensegrity).
This non-Euclidean "geometry of lumps" (K. Menger) has been redeveloped for a pre-college market. In teaching it with computer skills (post calculator ray tracing, VRML, some languages), we fulfill part of our 3 year state math requirement in Oregon.
Digital mathematics (formerly "discrete") is an alternative to statistics and trigonometry in that respect, although we try to include elements of those as well, in our full four year object oriented version.
Note that including a modicum of non-Euclidean thinking in your classroom is like a seasoning or spice. Just a drop goes a long way. So this is not to suggest shelving any existing resources, merely to shift gears on some days when you sense your class is in the mood for something completely different for a change: