I don't teach a lot of beginner students anymore. It's funny though that I am still mostly teaching speed control through turn shape and initiating a turn through releasing the old outside edge to advanced students. I don't have a progression per se. I try to build a lesson plan for a student around what I see that is both present and lacking in their skiing.
For FDB students I usually start with moving around on one ski and then two skis on the flats. I like to get them using their inside edges and poles to provide movement. Some will be better than others at this. I want to see a student moving with and over their skis even on the flats. Then I will introduce sidestepping up the hill. We don't go far and the "hill" is flat. I want to see the student finding and using both BTE and LTE for grip, making adjustments using rotary skills to keep their skis perpendicular to the fall line, and using their poles in a coordinated way to help with the stepping. Then I introduce the bull fighter turn as a means to get the skis from pointed across the hill to pointed down the hill or as a means to get from pointed in one direction to the other without sliding away. We practice moving from parallel to wedge positions statically while facing down hill in the bull fighter position. We do some short gliding wedges into the catchers mitt. We play around with opening and closing the wedge during the glide. I like to see both feet opening and closing together. If the student isn't able to do a straight gliding wedge I use it as a teachable moment often with a "guided discovery" teaching style. Then we do single wedge turns to a stop in one direction then the other. I want my students to learn to stop by completing a turn and not by using the wedge to slow down.
Then we move to the rope tow and work on a series of garland turns in both directions. When we get to this step I try to introduce a small amount of upper/lower body separation and a directional movement into the turn. The directional movement is small and is accomplished by a slight extension of the knees moving the hips forward and across the skis the skis at turn initiation. This movement helps release the old outside edge and gets the skis turning down the hill. Pressure builds naturally on the outside ski once the skis are turning.
Once we have moved from garlands into complete turns I like to set up some cones for the student to turn around. I set the cones in a way that forces the student to complete the turn and feel the speed control that comes with turn completion. The cone set also forces one turn to go right into the next. I don't like hanging out and traversing between turns and I don't like turn shopping. Usually as the student gets smoother and a bit faster in the cones the inside ski is tipping more and starting to spontaneously match with the outside ski. Many students think they are doing it wrong when they notice they aren't wedging through the whole turn.
A lesson plan along these lines will get most FDB skiers turning and matching their skis after the fall line in a few hours. I like to be out of the rope tow area and onto the beginner chairlift before lunch. I like to see matching of the skis at or before the fall line by the end of the day on all green terrain. Working this way I haven't taught the student anything that they will need to unlearn later.
I hope this is helpful.