“How Students Learn” and concrete contexts for linear functions

“How Students Learn” is an NSF publication that has a full unit on teaching linear functions, with lesson plans, samples of student work, lots of research annotations, and interviews transcribed from the classroom:

Their approach is to use walkathons as an introductory context for students to abstract into linear functions.

Related is a problem from Park Math that appears at the beginning of their unit on linear functions:

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