Somewhere in this unit, your students may think, "Wow, there sure are a lot of representations of data out there." Dots. Bars. Columns. Wider columns. Who made up all of these representations and why? We'd love for students to understand that we invented each of those representations to serve a particular purpose.
Create a headache.
In The Plot Thickens, I encourage you to ask yourself, "Why did we invent histograms? Why weren't dot plots enough? If histograms represent the aspirin, then what represents the headache and how do I create it for students?"
We point to that headache on a screen where we offer your students 50 data points, very few of which will stack nicely in a dot plot. I encourage you to emphasize this headache as much as you need to in order to help your students understand a) the connection between dot plots and histograms, and b) the need for histograms.
Every new lesson in this unit teaches math that's necessary to solve the limitations of the math in earlier lessons.
Dan & the Desmos Classroom Team
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