TMC15 has me much more active on Twitter. Today there has been some talk about building the concept of functions. Last year Liem and I made functions the main focus of our course. We feel like a solid understanding of functions, their notation, and their graphs is critical for growth in the direction of Calculus. The file below contains a series of Scenario-Based Tasks we used last year and some new ones I wrote this summer. It is very much a work in progress and I would love some feedback if anyone ever takes the time to look through it!
The Unit starts by discussing sets of numbers and then moves into relations, functions, and all the related vocabulary and notation we could think of. I would personally highlight “1.4” and the bike riding part of the “Unit 1 Exam” as the most refined and ready-to-use tasks.