Category 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: ,

Geometry Files: Triangle Congruence

(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:

Triangle files from megcraig.org Triangle files from megcraig.org(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:

Triangle files from megcraig.org(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:

4_4(file here)

More congruence:

Triangle files from megcraig.org(file here)

Now let’s do this FOR REAL

Triangle files from megcraig.org(file here)  What’s that you say about those gorgeous Geogebra graphics? I’m blushing!

And some more!

Triangle files from megcraig.org(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:

Triangle files from megcraig.org(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:

Triangle files from megcraig.org(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:

Triangle files from megcraig.org(file here)  If you’re having trouble imagining it, maybe this powerpoint will help:

Triangle files from megcraig.org(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: , ,

Geometry: Transversals & Linear Equations

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tl;dr: Another chapter’s worth of files for Geometry: transversal angles, graphing lines, and writing equations of lines (more files and FAQs here).

To repeat my previous warning: it’s been 3 years since I used these to teach Geometry, so they’re not the bestest, but sometimes you need a quick file or something to build off, right?  With that said, let’s get started:Geometry files from megcraig.org Geometry files from megcraig.orgFile here. Yeah, looks like I ran out of time and/or motivation on labeling everything on the document, but why I just didn’t copy and paste from the following powerpoint I made, I can’t explain. Also, these are legal which works out perfectly to print 2 to a letter page (which reminds me I need to do a post about “how to get a lot of crap on one sheet of paper”).

As for how to label each diagram, look no further than the following powerpoint, which also goes through each problem with highlighting lines and angles. I find this is a great way to both introduce topics and go over student work, especially if you have a remote clicker.

Geometry files from megcraig.org

Geometry files from megcraig.orgFile here.

Next up, let’s talk about parallel lines and transversals:

Geometry files from megcraig.orgFile here, again needs hand-labeling.

Then some practice (hey, look, I actually labeled everything in the document!):

Geometry files from megcraig.orgfile here. And a powerpoint to go with it (alternatively, you could just use the powerpoint as a quick review or with whiteboards)

Geometry files from megcraig.org

File here.

Now for some lines…why does it feel like I’m teaching these from scratch every year?  No matter if it’s Geometry, Algebra II, or Precal?

Slope:

Geometry files from megcraig.orgFile here (“ugly 17 refers to our workbooks because we had two different ones that year. One that was nice and had a pretty cover and one that was “ugly”).

Graphing (yes, this worksheet probably looks familiar if you’ve been paying attention):

Geometry files from megcraig.orgFile here. The elevator is because you ride up/down to your floor first, then go to your hotel room.  You don’t go to where your hotel room would be on the first floor, then have your own personal elevator take you up.

Then we wrote some equations of lines, then the next day brought in parallel/perpendicular. Notice I’m still using the old-school point-slope form, I like y = m(x-h) + k form now.

Geometry files from megcraig.orgFile here. We mark out the original equation after we steal the slope from it so we’re not tempted to use anything else from it in our new equation.

And some practice (I sometimes make worksheets with more problems than I assign, maybe doing evens in class with a partner and odds for homework):

Geometry files from megcraig.orgFile here. Then it’s time for a study guide.

Geometry files from megcraig.orgfile here. and a powerpoint key

Geometry files from megcraig.orgFile here.

And that’s all I got!

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: , , , ,