I love this diagram, and wish I had thought of it (or had read this) when I was teaching. We had a lot of flexibility and something like this might have reached the kids that couldn't understand the ways I was trying. I appreciate how you walk us step by step, each step is small, and we understand it completely before moving to the next one.

I think a lot of kids would get lost at 0, but you break it down to factor and multiple, and it becomes easy. Keep up the good work!