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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

• ### Kyle Pearce

October 8, 2021 at 6:46 am

You’re not alone on that one!

First off – in our eyes (and van de Walls’s) a rate is a single quantity (doesn’t need a denominator of 1…) with a compound unit (pounds per inch, km per hour, etc)

A rate could be:

100 km per hour
But also
98/3 km per hour

Both are rates: a single quantity with a compound unit. One is not a unit rate and the other is not… they are both just rates.

As for partitive and quotative:

Partitive is dividing by number of parts to find how many per part (to find the rate)
“12 cookies divided by 4 kids”

Quotative is dividing by how many per part (the rate) to determine how many parts/groups