Why not start with elementary moves (bottom-up direction) and gradually add more complexity?
I say this all the time, but nobody listens. Well, almost nobody. My coach is teaching new students this way, and I'm doing my teacher training in that context. Unsurprisingly, teaching "weight shift in place, touch, step, rock, rebound, lane change, system change, pivot, embrace size change, embrace shape change, level shift, axis shift, etc." has people dancing a wider range of possible movements
sooner and better, because they aren't hung up on emulating long, complex patterns . . . they're moving through space in ways that
make sense given their partner's location, the previous movement, the music, and the desired next movement.
Teaching people "Here's a bundle of weight shifts, lane changes, steps, pivots, etc. we call [
name]," "Here's a different bundle we call [
other name]," etc. is mostly just teaching them to speak the tango jargon of the teacher's region while giving them complicated figures they'll soon grow frustrated attempting to fit to the music and (most important) available space. I dance around and especially behind such frustrated people all the time. They get flustered if they can't dance, say, an entire turn sequence of 720° with three sacadas
here, here, and
here, and a lapiz
here, and try to force that: onto their partner, into the space, and regardless of the music.
My coach's beginners are already dancing better, more interesting turns without even knowing that they are. They just up and danced a mutual molinete the other day because step-pivot-step-pivot-etc. was, to quote, "The obvious way to orbit around each other if there's no space" (I played the "evil leader" and blocked the imaginary line of dance). Sure, they have to clean up the execution of the steps, pivots, etc., but doing so will clean up the mutual turn with no extra effort. Whereas cleaning up the turn certainly won't change anything for
other uses of steps and pivots, because the vast, vast majority of people take corrections on packaged movements as being specific to the packages; they can't generalize.
More briefly: People build clean movements from clean atoms (bottom up), but rarely generalize clean movements to clean atoms to build up other clean movements (top down), because that injects an extra step. I suppose traditionalists will grumble when such "tango Lego" is used to build nontraditional figures, or when those dancing figures don't know common names for them or even claim that they invented them, but appeasing grumpy conservatives isn't and shouldn't be a goal of dance training.