Make Math Moments Academy › Forums › Mini-Course Reflections › The Concept Holding Your Students Back › Lesson 6-1: Two Types of Relative Thinking – Discussion › Reply To: Lesson 6-1: Two Types of Relative Thinking – Discussion
AdministratorNovember 28, 2021 at 9:24 pm
Yes this is definitely foggy when you just start exploring / thinking about this.
I think of a multiplicative comparison as scenarios where finding a scale factor makes sense… for example, two different length pieces of wood. I can find a multiplicative comparison between them, however scaling them doesn’t seem as natural / necessary.
A composed unit, on the other hand, has two or more quantities that feel natural to scale in tandem. For example, scoops of hot chocolate mix and glasses of milk. You could find a multiplicative comparison, however it wouldn’t be a scale factor, that would actually be a rate!
Whew! Crazy stuff, right?