I think if you are just trying to replicate the way you work in Solidworks then Rhino won’t be any fun for you. Are you sure you want to teach it next month if you are just learning it now? You say with a good Solidworks tutor you can learn Solidworks fast, I say with a good Rhino teacher, that knows his craft longer than two weeks, you learn Rhino much much faster 
Rhino is a fantastic tool for design ideation which lets you sketch in 3D without any restrictions. Rhino’s biggest strength is that it allows you to be really really dirty and let’s you do things that Solidworks doesn’t offer. Rhino is not a good tool to bring things into manufacturing, but that’s not what it is made for. Do your students a favor and don’t tell them there is no point in learning Rhino because there are many many designers that would strongly disagree with that (including me).