Informal Writing Assignments for Math

A Car Trip...And a Certain Train
Developed by Harel Barzilai
This activity is designed to help students, primarily in calculus or pre-calculus classes, gain a conceptual understanding of "average rate of change", "instantaneous rate of change", their meanings, and how they are related. It was designed during the WAC II workshop to follow up on an earlier activity and to prepare students for a later one, as students work in groups to solidify their understanding of and computational skills with taking derivatives "by hand" based on the limit definition of derivatives. 
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