Make Math Moments Academy › Forums › Mini-Course Reflections › The Concept Holding Your Students Back › Lesson 9-1: Consolidating What We've Learned – Discussion › Reply To: Lesson 9-1: Consolidating What We've Learned – Discussion
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I now have a clear understanding of the difference between a ratio and a rate. I love the idea of scaling in tandem. That language makes so much more sense than trying to tell 8th graders that it “varies” in terms of the other variable. I can see clearly now that proportional thinking seeps into almost every facet of my curriculum.
Also, I teach older middle school students but I had heard of additive and multiplicative thinking. Now, though, as I work with students, I can quickly identify when students are using additive thinking as opposed to multiplicative thinking.