It was K-12, so we had a huge number of different strategies. Fun to see everyone's thinking (and to see how our strategies matched up with the ones Robert had in his presentation) -- obviously anticipating thinking pays off!

You are correct!

It was "how much of a stick of butter do you need for 1/3 of a cup?" So not in a "fill in the boxes" way, but in the sense that there are a lot of ways to think about getting to a result. We were talking about the 5 practices, selecting & sequencing work (& nudging students to show clear work).

The students have two distinctive versions for cosine: "caus" or "cOs"! Cosecant might be the worst though, since there's no way to say csc and sometimes they try get away with saying each individual letter "c-s-c". It makes me a little crazy!

More examples -- On these ones I wrote everything in black, and groups moved around the room and had to add at least three things to each topic (and check the rest of the work).

This one I printed the typed stuff and they wrote the rest. I sometimes just write the bubble on the whiteboard in advance and they add to it but I had a lot and didn't want to write it up 5 times. I usually start with a graphic organizer/mind map with some prompts that they expand on.