## Geometry: Transversals & Linear Equations

Posted on 0 comment

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: File 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.

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

File here, again needs hand-labeling.

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

file here. And a powerpoint to go with it (alternatively, you could just use the powerpoint as a quick review or with whiteboards)

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:

File 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):

File 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.

File 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):

File here. Then it’s time for a study guide.

file here. and a powerpoint key

And that’s all I got!

Category: Geometry | Tags: , ,

## Giving Geometry Some Love: Definitions & Logic/Proofs

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:

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

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

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

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

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

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?”

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

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

And powerpoint:

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

Right?

Category: Geometry | Tags: , , , ,