Continuity Desmos Activity

I can't remember where I found this activity...it was a very long time ago. I'm old :) In the past, I would cut up the pieces and have students draw the graphs on a sheet of paper. Well - in walks Desmos Activity Builder! One of the best things to happen to my classroom! Like most math teachers out there, you know what I'm talking about.

So here's the gist - students create any type of graph but must meet all of the requirements. For example: (#1 The function has a limit as x approaches 2 of 5, but f(2) = -1.)

I give extra points for more difficult functions. Some students get really creative while others just do the bare minimum. Before they start, the students do a small tutorial on how to set restrictions for the piecewise functions and how to turn a point into a hole. I still got a lot of questions, but some students have never seen Desmos. (Can you believe that?)

The majority of students do it correctly by making piecewise functions, rational functions with holes, or functions that actually work. However, some students created a function then placed an open point on top of the function. Even though this is not what I wanted, I still get to have a discussion about what this would look like as a piecewise function. (Since I know that they weren't thinking that way when they created the graph.)

Overall - I love that I can take something old and turn it into something new with technology.

Here's my activity: Limit & Continuity Desmos Activity Make a copy and tweak to fit your classes!

~RJ

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