Carl Brandt Long
carlblong.bsky.social
Carl Brandt Long
@carlblong.bsky.social
Math teacher, theatre-maker, husband, father
Field testing a new question for our upcoming trigonometry test.
#iteachmath #todayinmaths #mtbos
September 16, 2025 at 3:53 PM
March 23, 2025 at 7:20 PM
It's certainly not the most efficient way, but:
a) using the quadratic, it shows that there can be at most 2 solutions
b) the solutions to the quadratic (here, 5+-sqrt(6)) have geometric meaning, whether positive, negative, or unreal
February 26, 2025 at 8:12 PM
February 26, 2025 at 6:15 PM
January 17, 2025 at 1:19 AM
Not every student's test gives me the feels like this, but it's nice when one does.
#iteachmath #mtbos
January 12, 2025 at 4:48 AM
I haven't done the calculations, but I'm pretty sure there are more than hundreds...

#iteachmath #mtbos
December 30, 2024 at 5:05 AM
Math in the wild.
#iteachmath ##mtbos
December 26, 2024 at 6:53 PM
December 18, 2024 at 3:39 AM
#mathphoto #iteachmath
I was 35 years old before I saw this kind of broccoli in person. I had assumed it was wishful thinking by fractalists.
December 9, 2024 at 11:40 PM
December 6, 2024 at 9:11 PM
So there is an entire class of right triangles (with an inside altitude of 1) whose hypotenuse is the product of the legs.
December 4, 2024 at 12:52 AM
This broke my brain this morning.

#iteachmath #mtbos
December 4, 2024 at 12:43 AM
November 30, 2024 at 7:35 PM