Becoming a great musician centers on one's ability to master fundamental skills. In the videos below, I will explain and demonstrate the types of warm-ups I would use in an instrument class. I also make sure to use musictheory.net to help students identify notes quickly, which I mention but do not demonstrate in the videos.
Below is the track that was used in the lesson plan above. The students would take turns playing for 8 measures, which was cued by a drum fill. The track as it is below only includes the background music for the students' use. I could easily include examples of solo improvisation in the track.