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See how far you get. Experiment! (That is "Play!" You can't break it....) Try to modify things, and see what happens. Ask me questions as they arise. Check with your neighbor, if you are having trouble.
If you're feeling really adventurous, you might want to do an animation. Here's an example of an animation, which you could modify to illustrate the approach of a secand line to a tangent line. There are some tricky bits, but I'll be happy to talk you through them.
If you want to "cheat", you can look at the example I just wrote: SecantsToTangents.nb