Some good news in some nerdy graphs

Every time my kids took a test last year, I went into a depression spiral, because for some reason my test results were consistently worse than all of the other middle school math teachers in my district. My 8th graders took their first real test of the year on Wednesday. And … well.

Blue bar is best bar, there’s no green bars for anybody because the idiot person who put the test together forgot to set a level for Mastery, and red is Bad, and white is untested kids. The person who has 100% of his kids mysteriously untested is also the guy who wrote the test and screwed up the scoring. He also set the schedule for when we were supposed to test! And just … didn’t.

But my blue bar is way bigger than anybody else’s blue bar, including Mr. I Work At the Honors School to my right, and my red bar is smaller than everyone else’s, so suck it.

Can we talk about Algebra’s last test? Sure, let’s, and be aware that this is what both of their tests look like:

The other teacher is the other Algebra teacher at my school, and yes, I’m still mad that I don’t have both Algebra classes any more, and the reason there are only two is that for some reason the high school teachers aren’t using the system that we’re all supposed to use to keep track of student achievement on the tests the high school teachers wrote.

There’s some inside baseball going on here, obviously, and I’m sorry if this is a little incoherent, but I’m really frustrated with the way this system for common assessments is getting implemented at basically every building other than mine. But y’all know how competitive I am and my kids are kicking names and taking ass so far this year. Which is a fucking relief, after last year.

Oh, and grade-wise? Currently I have one hundred and seventy-four students in my six classes (Algebra has 21, and all of my 8th grade classes but one have 31. My “small” 8th grade class has 29.) and of those 174 kids, only 39 (22%) have Ds or Fs. Considering that last year this happened at the beginning of the third quarter I will absolutely take those numbers. I have way more kids getting As than getting Ds or Fs. That hasn’t happened very often.

So yeah. I’m going to enjoy pretending I’m good at my job tonight.

Okay, fine, I’ll do the math

I have removed the Second Skin from my new tattoo, and the itching is absolutely maddening, so I’m going to distract myself with math. Because that’s why you come here, right? As a reminder, this is the original image, and the question is the ratio of the inner square to the outer square:

The first thing we’re going to do is draw the two diagonals of the inner square. These are, by definition, perpendicular to each other, and they are also equal to the circumference of the circle. Let us define the radius of the circle as x:

What we have now is four right triangles inscribed inside the circle. Pythagoras tells us that the sum of the squares of the two legs are equal to the square of the hypotenuse, which is the line on the left of the square there. Therefore, defining the hypotenuse as Y, we get:

x2 + x2 = y2
2x2 = y2

Take the square roots of each side, and we get:

√(2x2) = √(y2)

And therefore:

√(2x2) = y

Which means that all four sides of the inner circle are equal to √(2x2), thusly:

To get the area of the inner square, all we have to do is multiply √(2x2) by √(2x2), which, conveniently, just gets rid of the square root symbols. The area of the inner circle is 2x2.

Now, we need to realize that since the radius of the circle is x, the diameter of the circle is 2x, and that the diameter of the circle also equals the width and the height of the outside square. So that outer square is 2x high and 2x wide:

Therefore, all we have to do to get the area of the outside square is multiply 2x by 2x, which gives us 4x2. Which, conveniently, is exactly twice the area of the inner square, which was 2x2.

The outside square is therefore twice the size of the inner square, and the ratio of the inner square to the outer square is 1:2.

Or, y’know, you could just rotate the fuckin’ inside square, which makes it visually obvious.

In which my numbers are off

Okay. I got grades caught up today, and only a quarter of them are failing! Still too many although I’ve certainly seen worse. I’m going to try and do a catch-up day tomorrow; we’ll see how that goes.

All that said, I’ve been grading for three hours, and I would like some time for recreation tonight, so this is all y’all get for tonight. Something cool should be happening tomorrow though so you may eagerly anticipate that if you like.

One more day and a three day weekend.

Math-people, Pt. 2

Okay, maybe that wasn’t as complicated as I thought it was going to be:

Basically all I did was add the “Is the number a fraction?” step there, and we’ll have to review converting fractions to decimals a bit, but it’ll do and they need to remember how to do that anyway.

In the meantime, I actually called out sick today; my Mounjaro (I assume) got on top of me hard in the last couple of days and I spent less of last night sleeping than I generally like to do, in favor of activities that generally aren’t meant to be described in polite company. So I slept most of the day away once it passed. I may have to have a review day for my kids on Friday already, though, which feels awfully early, although if I remember right we probably had about one a month last year anyway so maybe not. We’ll see how the next couple of days go, assuming I can drag my ass out of bed.

Math humans!

Look at this flowchart:

I am not a digital artist, as you can probably tell, and I put this together in Sheets, which is certainly really far from the best way to do it, but it gets the job done. Here’s the question: how do I best include the existence of fractions? Fractions are always rational, but depending on what the fraction is, it can be any of the rational number sub-categories as well. I could just include an instruction after the first question to convert fractions to decimals, but 1) that feels inelegant, and 2) it sort of introduces another source of error, but that source is there anyway, I suppose– a kid that doesn’t recognize 1/3 as a repeating decimal is probably also not going to realize that 12/4 is a natural number.

Can you figure out a way to work fractions into this without adding a ton of qualifiers and disclaimers or extra questions? One or two is fine but I don’t want this to get much messier than it already is.

Hmm.

In which multiple things are true at once

The first True Thing is that, even making the inevitable corrections for First Day of School, I am of the tentative opinion that I’m in for a reasonably good year of school. Things can always change and my fourth hour is going to be a challenge, I think, but I had a half-dozen boys in particular who I was concerned were going to end up being shitheads and who at least right now appear to be interested in staying on my good side. But my advisory shows every sign of being delightful and my Algebra class looks pretty damn good too, so I’ll take what I’ve got.

The second True Thing is that dinner was a handful of Saltines, a bunch of grapes and five or six slices of deli chicken because the notion of creating anything more complicated was well beyond me.

The third is that I am tired in every organ and muscle and pore of my body, and I’m going to bed early tonight, because somehow I have to do this again tomorrow? How does that even work?

(I did not, by the way, get that geometry class that I was angling for all summer– did I ever actually say that? I can’t get pissed about it. The chance that I was going to get lucky enough to get paid for a class with six kids in it was never high. I have an overload again anyway, though, because we only have three math teachers and that is absolutely Not Enough Math Teachers.)

Classroom tour!

I am probably 95% done in my classroom. I have to put some things in closets and do some cord management and things like that, but if school was starting tomorrow morning I wouldn’t be terribly worried about it. Since I have a week, we’re absolutely all good, and I can start focusing on curriculum.

Want a tour?

Let’s see

I didn’t take any pictures at work today, but the classroom is coming along nicely even if it’s chewing holes in my bank account along the way. I really like the new room, though, and the first year in a new room is always more expensive, so hopefully what I’ve bought will last a while. I did discover, to my vague embarrassment and deep chagrin, that I managed to order rope lights twice, once very early in the summer and– and this was my critical mistake– brought to my classroom in June, and once in late July and brought to my classroom yesterday. I didn’t even notice the first set of lights yesterday since they were in the closet in my original classroom; I had a great moment when I found six boxes in my closet as I was moving stuff from one room to the other and for a few minutes couldn’t remember what the hell was in them. Then I remembered that at one point I’d been thinking I needed a powered USB hub, and I couldn’t figure out why I needed that, since the rope lights I just brought in plug in with a regular plug, and … shit.

Then I had to order a damn powered USB hub.

I have so many packages coming this weekend, y’all.

(You can still help me out with school supplies if you want, by the way. I’ll love you forever if you do!)

I am going to end up starting a fire in this room once everything is plugged in, y’all. I did find two more plugs in the room I hadn’t initially noticed, up near the ceiling next to a truly ancient tube TV that definitely doesn’t need to be plugged in and I’m going to see if I can get them to remove altogether. That brings the total to ten, two of which are simultaneously nearly inaccessible and somehow still perfect for a couple of the things I was going to stick in that corner anyway. Those ten plugs will have to power approximately fourteen thousand different things. I’m, uh, gonna have to do some extensive cable management.

I may not be able to make it over on Monday, but I’ll definitely be in my room every other day next week, since I also have a ton of curricular work to do and I want the room completely ready to go by the time I’m officially on the clock.

Anyway, in lieu of a classroom picture, please enjoy this cat.