Tag Archives: Geometry

Geometry Files: More Triangles? Are you serious?

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Yes, I’m totally serious.  (see more files and FAQs here)

But we already did triangles, you say. Sure, we looked at congruent triangles, but did we look at stuff that can happen inside triangles?!?!  There’s a lot of good discovery activities for these rules, also here are some rudimentary geogebra files I made:

triangle files from megcraig.org triangle files from megcraig.org triangle files from megcraig.org(files: medians, perpendicular bisectors, angle bisectors) then we can solidify everything:

Triangle Files from megcraig.orgTriangle Files from megcraig.org(file here) Oh, plus there’s this weird thing about medians:

Triangle Files from megcraig.orgI make mine draw out and label the median for each problem; the visual seemed to help a lot of them see the relationship between what was given and what we need.

Homework:

Triangle Files from megcraig.org(file here)

Then let’s put all this together!

Triangle Files from megcraig.org(file here) “Boy, Meg, sure wish there was a powerpoint to go along with this!”  Why, it’s your lucky day!

Triangle Files from megcraig.org(file here)

Then another powerpoint for exterior/interior angle and angle/side inequalities:

Triangle Files from megcraig.org(file here)

Then I guess I did more stuff with possible sides of a triangle?  Then some practice:Triangle Files from megcraig.org(file here) wiiiiiiiith powerpoint!

Triangle Files from megcraig.org(file here)

And more inequalities!!

Triangle Files from megcraig.org(file here)

ARE WE DONE WITH THESE TRIANGLES YET?!?!?!?!

Yes!  Now just a review!

Triangle Files from megcraig.org(file here) and powerpoint:

Triangle Files from megcraig.org(file here)

Finally!  There can’t be anything else we can do with triangles, right?!?!  (Shh…we won’t talk about trig coming up, ok?)

Category: Geometry | Tags: ,

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: , , , ,