## Take it to the Limit!

Yes, it’s limits time in Precal.  Again, stuff is so hard to find so I thought I’d share mine, even though most of it is cobbled together from other stuff I’ve found (and have no reference for…sorry.  If it’s yours let me know and I’ll give you credit!).

We spent a couple days with rationals and then jumped into one-sided limits. I used to start with regular and then do one-sided (I think that is what my first precal textbook did, but it seems to flow so much better doing one-sided first).

Here’s my introductory powerpoint WITH MOVING ANTS!!

After this, we stopped and talked about how 99% of the time in the real world, the ants coming from the left and right are just going to be the function value. I asked where they think there could be problems.  Then we worked on the corresponding NoteTakerMaker (with homework! and typos corrected!):

Tomorrow another introductory powerpoint to real limits with graphs and tables and piecewise functions (Oh my!) (and with more ants!):

And its corresponding NTMs and practice worksheet.

(I actually think I may redo the practice to include more exciting functions than just linear and quadratic. We’ll see how tomorrow shakes out.)

And that’s my limit on what I have to report on limits!

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## 2 comments on “Take it to the Limit!”

1. […] the ant analogy (see my last limits post) worked a bit too well. At least 10 students “explained” that the limit was equal to […]

2. […] the ant analogy (see my last limits post) worked a bit too well. At least 10 students “explained” that the limit was equal to […]