proofs – Insert Clever Math Pun Here

Tag Archives: proofs

Geometry Files: Triangle Congruence

Posted on June 30, 2015 by Meg Craig • 4 comments

(see more files and FAQs here). So, I’m really concerned that I’m losing my mind, or at least at lot of my Geometry files. So what I do have today requires a bit of imagination on your part.

Imagine there’s a notetakermaker that goes with this powerpoint:

(powerpoint file here). The bottom three are from the end of the lesson where we practice identifying corresponding congruent angles before we even worry about proofs yet.

I bet the worksheet you imagined looked something this one, which was the next day’s practice:

(file here). YES, those triangles are pre-marked and labeled. YOU’RE WELCOME.

Now imagine that I did some sort of awesome introductory activity before jumping into congruence:

(file here)

More congruence:

(file here)

Now let’s do this FOR REAL

(file here) What’s that you say about those gorgeous Geogebra graphics? I’m blushing!

And some more!

(file here). Why yes, I am a sneaky devil putting the same picture for the last four, just with different givens!

Now this is the world’s most superfluous handout:

(file here) Yeah, good thing I made a handout so they didn’t have to draw FIVE triangles! Whew!

You’re going to have to imagine another worksheet for this powerpoint, or you could just use it for whiteboard review:

(file here) I know, I can’t believe it took me this many posts to figure out snipping the slide sorter view was better than a single slide.

Now imagine a study guide with everything typed in:

(file here) If you’re having trouble imagining it, maybe this powerpoint will help:

(file here). Also, let’s take a moment to discuss how I’m not imagining things when I’ve been saying that my home powerpoint acts weird. See how you can see the previous screen behind the slides? Does anyone else have this issue?

Now imagine that this blog has a counter for “____ hours saved by using Meg’s files and not making my own Geometry diagrams,” what do you think the total number would be? 😉

Category: Geometry | Tags: congruence, proofs, triangles

Giving Geometry Some Love: Definitions & Logic/Proofs

Posted on June 1, 2015 by Meg Craig • 3 comments

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:

File 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:

(file here) And NoteTakerMaker:

File here. Yeah, I know, I’m the next Beyonce.

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

File here.

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

File here.

Geometry Files from megcraig.org File here.

File here.

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

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

File here.

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

File here.

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

File here (and yes, the file has proofs for all 5 problems).

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

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?”