Tag Archives: defintions

Giving Geometry Some Love: Definitions & Logic/Proofs

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It’s been about 3 years since I taught Geometry and there are people doing a lot more creative and deep-thinking stuff than myself  (see: Jim, Julie, Lisa, Mimi, Shireen, and many others), but ugh, having to draw a geometry diagram in Word?

(Hint: draw it in Geogebra, then use the snipping tool to grab it and insert, but even then it’s a pain).  So just to save you some time and hassle, I’ll also be trying to share my Geometry files this summer; stay tuned to this page!  Since it has been three years, much of it will be presented without comment. 🙂

Ah, the dreaded first chapter full of definitions. I guess I hated it so much I didn’t keep many files, but here’s what I do have:

Geometry Files from megcraig.orgFile here.

Geometry Files from megcraig.orgFile here.

Oh, here’s one thing I’ve done that’s pretty creative: I made my own Angle Awesomeness Rap  (I used to have a bit of a commute and planned it out on my drive one day).  It even has a snazzy powerpoint:

Geometry Files from megcraig.org(file here) And NoteTakerMaker:

Geometry Files from megcraig.orgFile here. Yeah, I know, I’m the next Beyonce.

Then I guess I did some sort of other work, and then a review

Geometry Files from megcraig.orgFile here.

Now for Chapter 2: Logic and Proofs.  First up, logic! With symbols! And lots of corgi references!

Geometry Files from megcraig.orgFile here.

Geometry Files from megcraig.orgFile here.

Geometry Files from megcraig.orgFile here.

Geometry Files from megcraig.orgFile here.

Geometry Files from megcraig.orgFile here.

Geometry Files from megcraig.orgFile here.

Geometry Files from megcraig.orgFile here.

Geometry Files from megcraig.orgFile here.

Geometry Files from megcraig.orgFile here.

Now…dun dun dunnnnnnn….. PROOFS!  First, some properties:

Geometry Files from megcraig.org

File here. And hey, let’s figure out what we know from givens:

Geometry Files from megcraig.orgFile here.

Geometry Files from megcraig.orgFile here.

And then remind ourselves that We Can Figure Things Out (without a formal proof yet):

Geometry Files from megcraig.orgFile here.

Then, we do the same problems with some proof handholding:

Geometry Files from megcraig.orgFile here (and yes, the file has proofs for all 5 problems).

Then finally (finally!) we can start on some real from-scratch proofs:

Geometry Files from megcraig.org

File here. Also, look below at me being clever with using “G.I.F.T.” for proofs!  And also Color With A Purpose.  I also tell them that you should use every line in a proof, which is what the arrows are for.  It seems to help if they’re stuck, “Well, is there anything you haven’t used yet?”

Geometry Files from megcraig.org

Geometry Files from megcraig.orgFile here.

And also step-by-step powerpoints for the study guide!

Geometry Files from megcraig.orgOdds file here. Evens file here.

But I’m guessing we didn’t do so well on the test, as there is a “repractice” worksheet

Geometry Files from megcraig.orgFile here.

And powerpoint:

Geometry Files from megcraig.orgFile here.

So maybe now instead of making that 417th drawing in word, you can copy and paste from these and then:

Right?

Category: Geometry | Tags: , , , ,