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Bill,
Wondering about the standard 6.EE.9. Are these relationships limited to direct proportions? The North Carolina State CCSS documents says:
Students are expected to recognize and explain the impact on the dependent variable when the independent variable
changes (As the x variable increases, how does the y variable change?) Relationships should be proportional with
the line passing through the origin.Yet, the Arizona State document gives examples that are not direct proportions.
If we are going beyond direct proportions it seems like this standard really asks students to do a lot with linear relationships. Basically seems like it is very close to the same standard as 8.F.4. which has students construct functional relationships between two quantities. Any help or advice appreciated ! 🙂
Thanks, Brian
The standard doesn’t explicitly limit itself to proportional relationships, so that leaves the door open to using other types of relationship as examples. But I don’t agree with you that that opens the floodgates to “doing a lot with linear relationships.” The idea here is to get used to using equations in two variables to express relationships, and interpreting graphs and so on. You can do this with simple examples without going to either extreme.
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