Ratio Tables: Moving to Generalisation

I have been raving about the utility of ratio tables for a couple of years now, and in my last MathsConf session I showed the versatility of them for topics across the curriculum. I ended with a snapshot of how I use them for algebraic direct proportion questions. People went a bit mad for it, and since then the biggest questions I have had have been about how to extend this idea, so I decided it was high time to share the specifics some more.

Completion Tables (feat. Jonny Hall)

On Monday night, I crashed Jonny Hall's (@StudyMaths) session at MathsConfOnline where he talked about "How completion tables have changed [his] life". Though he admits it is a slight exaggeration, it really isn't an exaggeration to say that working with Jonny this past few months, particularly while he's been obsessed with these tables has revolutionised my task-making and task-using abilities.