Anyway. All this to say--it's darn exciting introducing kids to concepts such as limits, derivatives, and integrals because they're so powerful and beautiful...and so unlike other stuff we teach (no?).

So, a few things I'd like to share from this week. Nothing's super original, but I did put a lot of time and energy into making them work for my students.

**First:**Visualizing secant lines turning into the tangent line via Desmos. Again, I know there are plenty of applets out there, but I couldn't find any that my students in the back of the room would be able to see. Also, I wanted to input my own functions. Also, I wanted to create it because it's fun and allows me to use mathematics. So, here you go. Slide

*a*, change the function, change the point of interest. Best of all, put it in projector mode so everyone can see--even the kids in the back.

**Second:**We had an extra day built-in for tangent lines, so during collaboration, I asked if we could create a packet that introduces the kids to how to draw those lines exactly. And how does the algebra relate to the geometry? My department head and I discussed the objectives, and then she miraculously turned our words into this beauty:

**Third:**This Warm Up that I rather like (Day 3 of Tangents):

**Fourth:**I used these sites so the kids could get some practice visualizing what the derivative function would look like

*without taking the time to actually find it algebraically.*I love exercises like this because they truly require deeper thinking. You can't bs your way through them.

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