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I don’t start school for another week plus but this will be one of the early topics covered with all students in my 7th grade math classes. I am not 100% sure if I have each identified correctly but I do appreciate thinking more about how my students may be thinking.
Recognizing proportional relationships in tables
UI – Students don’t know what a proportion is at all.
CI – Students multiply cross products because they remember they are supposed to be the same.
CC – Students simplify all ratios to unit rates to see if they are equivalent.
UC – Students use the unit rate to compare values in table.
CM – Students can see the relationships between values in a table without knowing the unit rate.