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Curve Sketching is a topic that Calculus students need to practice over and over again.  So, I decided to give them some practice by using this fun idea that I originally found on the Math = Love blog {Math = Love Two Truths and a Lie}

First, the students and I played a quick round of two truths and a lie as a small icebreaker.

1) I graduated from the University of Illinois.
2) I played the oboe in high school.
3) I lived in Hawaii for a year.

My students know me pretty well, so they quickly figured out that I never lived in Hawaii :)

Then I gave each set of partners a copy of the Two Truths and a Lie form.  Students could do this activity by themselves, but I thought for a first effort maybe partners would work better.  This form is specifically geared toward this particular Curve Sketching activity, but it could easily be changed to target whatever topic you want.

I decided to give my students an equation to work with.  This way, I could target a couple of groups with some more difficult equations.  But, you could easily just tell students they have to come up with their own equation.

I told students they need to use words like maximum, minimum, increasing, decreasing, concave up, concave down, and point of inflection in their 3 statements.  I did allow students to use their calculators to check their work.

Here is an example of my work:

Finally, after each group was finished, I had them fold up the bottom of their paper so other students couldn't see it.  We had a gallery walk around the room and students had to identify the lie on all of the other group's papers.

This was a really fun activity and I hope to incorporate this activity into other topics in some of my other classes!

{Do you like this idea?  If you would like to purchase the forms and equations used in this activity, please visit my TPT store at: Two Truths and a Lie Curve Sketching}

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