Dressage is not about "moves" or patterns. It is about developing good basics (first of all) and then incorporating gymnastic movements into the horse's repertoire to build strength, suppleness, connection and collection in his body. A Grand Prix or high level horse when showing is able to perform the movements only because he has built enough strength and endurance to do them. To teach a horse a piaffe or pirouette without the correct basics and years of strengthening is just trick training and can be damaging to the horse's muscoskeletal system.
To start dressage, we begin mounted and work on the first 3 steps of the training scale, rhythm relaxation and contact. We can incorporate movements seen in training and first levels - at first large circles, transitions, various frames (ie "normal" working frame into the contact, a stretching frame, etc.) and then moving onto long straight lines, then smaller circles, leg yields, variations in stride length, etc.. until we are ready to begin working on the next steps in the scale, schwung (or impulsion) straightness and collection. This is where lateral movements seen in second level and more difficult transitions like walk-canter and canter-walk are utilized for strengthening, etc.. until the horse is ready for more and more difficult work, eventually leading to the GP and the "dressage moves" you are talking about.
They say money doesn't buy happiness -- well happiness doesn't buy horses!