Make Math Moments Academy › Forums › Mini-Course Reflections › The Concept Holding Your Students Back › Lesson 6-3: Digging Into Thinking Of Ratios As A Multiplicative Comparison and Composed Units – Discussion › Reply To: Lesson 6-3: Digging Into Thinking Of Ratios As A Multiplicative Comparison and Composed Units – Discussion
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Great ideas here which show you’ve clearly differentiated a ratio and a rate.
Rates are more commonly calculated with composed units since it involves quantities with different units. However, a multiplicative comparison can reveal a rate, but it is more contrived or less natural. Ie: a scale on a map of 500:1has a rate of 500 cm per cm on the map. Works, but feels less useful / natural.