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
MemberDecember 12, 2020 at 12:59 am
Connecting this idea of Rate with Partitive Division really helps me understand this concept. Using the language of “How many units of one group are in another?” makes sense to me now, especially using the wand idea. Dividing 8cm Wand B into 10 cm of Wand A clearly shows that there is not enough of Wand A to fit into Wand B (how many 10cm units can fit into 8cm units) so the ratio is less than one, or 8/10 cm of Wand B per cm of wand A.
Language again, is key, and so is the use of Partitive Division.