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In 7th grade, we explore proportional relationships as graphs, data sets and stories. How long do you spend on proportional relationships prior to expanding to linear relationships. We have found that many real life examples are linear, not proportional and I feel limited by spending so much time on one aspect. Would love to hear your thoughts.
Hi Amy,
I would say that proportional relationships should be constantly cycled back to throughout the year… so much in the world is proportional in nature (i.e.: multiplicative comparisons, composed units, etc.) and linear relationships is just a “slight adjustment” to that thinking. We often rush through proportional relationships to “get to” linear, then wonder why we need so much time with the linear work.
Consider checking out our course called The Concept Holding Your Students Back to dig into these ideas and more:
https://makemathmoments.com/proportions