There is no one right way to create lecture material for an online course. Each has its advantages and disadvantages. I’m going to describe what I do, not because I think it’s “best” but just for interest. The adage "if I had more time, I would have written a shorter letter" comes to mind, in that it does take more time to make a succinct video, but I think it is worth it.

One thing that was extremely important to me was preserving my own personal style in the videos. In class I always use the chalkboard (never slides) because there is a huge benefit to seeing problems worked...