Math Curmudgeon

Hope they don't try that in Vermont.

Desmos activity dashboard lets the teacher see where each kid is and what they’ve entered. Also has pacing and other tools.

I like it for exploration. If you can find an activity, it’s great. Making one from scratch is time consuming.

Here’s a teacher-built one:
student.desmos.com/join/h7ufmq

Reading some of the other replies, I think I may have gone about slightly differently. I found (a1+an), which gave me the middle term and the value of n. Took a few minutes to back up and realize the final answer.

Nice one!

At the point where the derivative equals the slope between the two end points. IVT in Real World!

285 14.8518109 4100 14.8519014 1777 28.5009300 4961 28.5010049 2075 57.7293104 4997 57.7293283 4703 175.8511277 2170 175.8511567 4848 296.0611490 828 296.0612136 4859 305.1067136 661 305.1068079

5000, epsilon<0.0001
Done for now.

285 14.8518109
4100 14.8519014

1777 28.5009300
4961 28.5010049

2075 57.7293104
4997 57.7293283

4703 175.8511277
2170 175.8511567

4848 296.0611490
828 296.0612136

4859 305.1067136
661 305.1068079

413 48.43071
295 48.43082

732 99.16957
912 99.17009

156 232.95813
1191 232.95874

Nothing within 0.0001 up to the first 1500.

413 48.43071 295 48.43082 732 99.16957 912 99.17009 156 232.95813 1191 232.95874

Up to the 1500th triangle and none are within 0.0001
413 48.43071
295 48.43082

732 99.16957
912 99.17009

156 232.95813
1191 232.95874

I'm beginning to think that, maybe, subtracting irrational numbers isn't going to be near 0.

Not yet.

Nerd-sniped myself this morning:

I found myself wondering if the hypotenuse of one of the triangles ever lined up *exactly* with the leg of another, and if so, which one?

Things my students said today:
"A corner of your cheese landed on my chair." & Massive giggle fit. To her sister: "Take your earpod out of your ear, young lady." More giggles. Drops calc on own foot: "My foot. It's been attacked." Whole class loses it.
#mathstoday
#iteachmath
#YeahItsAlmostSummer

Cake Day in Calculus If you teach calculus, you probably can't look at one of these without seeing a volume of rotation. I presented this as a problem to my ca...

squarerootofnegativeoneteachmath.blogspot.com/2011/04/cake...

But … is there a Bundt cake of revolution?

Volumes by revolution

I began by placing the vertex on the x-axis, which happens at x^2+2x+1.

If we add a positive constant to that, the graph rises and roots are imaginary. Thus, the expression must be >1

I can't believe we have a Pope from Illinois. People from Chicago usually hate the Cardinals.

Rational Functions Cipher Puzzle v2 Simplify each expression; match to the answers on the other side. 1. (5x+15)/(x^2-x-20)*(2x-10)/(10x^2+50x+60) 2. 4/(x-5)-(4x+7)/((x+2)(x-5)) 3. (4x^3+12x^2)/(x^2+5x)÷(2x^4+10x^3+12x^2)/(x^3+5x^2-4x-20) 4. 3/(x+2)+1/(x+4) 5. 4/(3(x+4))-(x+2)/(x+4)(x+1) +2/(3(x+1)) 6. (x^4-x^2)/(x+5)*(x^2+3x-10)/(x^4-5x^2+4)

Matching. A. 1/(x^2-3x-10) B. 2(x-2)/x C. 2(2x+7)/(x^2+6x+8) D. 1/(x^2+6x+8) E. x^2/(x+2) F. (x+2)/(x^2+5x+4) From the other side, list the answers to create the key to a Vigenére Cipher. Vigenére KEY: ___ ___ ___ ___ ___ ___ Use the coding / decoding tools at http://rumkin.com/tools/cipher to decode the following instructions. For each of the rational functions that follow, write in order (leaving off negative signs) AIOV AE KA IQQI; FHBPLI WO MGYXHRT CSH XSF TTX13 f(x)=(2(x-25)(x+24))/((x-2)(x+24)) f(x)=(21x-315)/(x+18) f(x)=(17x^2+340x-748)/(x^2-3x+2) f(x)=(16x-400)/(x+17) f(x)=(32(x-14)(x-8))/(2(x-8)(x+25)) f(x)=(6x^2+240x+2250)/(x^2+23x+120) f(x)=(24(x^2+4x-12))/(x^2+8x+12)

Rational Functions, factoring review, operations with algebraic fractions ... all wrapped up into one set of problems, with code-breaking. It's like butttaaah.
#algebra2
#mathstoday

A lot of those US scientists are fluent in more than just English, not just because many of them are foreign born.

view of classroom table with white boards, markers, and a rational functions simplification problem written on a white board.

#NewTeacherAdvice
Small whiteboards, cheap markers (~ $0.10 each) are well worth the math department investment.

Why have them vote?
I think they should read what you choose for them to read. It's tough to mentor student teachers that haven't had a consistent background, and it's really difficult to ask them to read books while they're trying to teach classes for the first time.

YouTube video by Daniel Willingham Learning Styles Don't Exist

Dan Willingham

Book: Why Children Don't Like School
www.amazon.com/Why-Dont-Stu...
Video: Teaching Content is Teaching Reading
www.youtube.com/watch?v=RiP-...
Video: Learning Styles Don't Exist
www.youtube.com/watch?v=sIv9...

Also lots of articles, but these three things are key.

Anti-intellectualism is a feature of the population as a whole. Some of us are trying to fight that, but it can be exhausting when you are dealing with every type of person and student.

A whole lot of the deported men are named Jesus.

👍
Lovely time of year in that town.

Reporter: "You're the Mommy Rocket!"
Shelley-Ann: "Why not? I'm a parent!"

They had 1 assaulted.
Then there were 4 assaulted.
300% increase

Without gives you a lot of flexibility to ask multipart questions about this scenario. All in all, I like the image but not the labels.

To be more clear, I don’t like the vertical double headed arrow w/ velocity, almost as if the rocket was expanding, not climbing (or is it descending?). Also, it seems weird to have a rocket climbing at a constant speed - why not a constant acceleration? Last, how high is it?

Without.

You wear a padded tunic under the mail.

Can confirm. It’s by far the easiest way to remove it.