I've been out for a couple of days--let's just say that I can think of better ways to drop 10 pounds--so, I'm in a really special frame of mind today. While I was out, I left a few distance/rate/time problems for students to solve. Upon my return, I was asking students about the problems and many students had similar responses.
S: "This is easy, you just use the Dirt Triangle."
Me: "The what?"
S: "The Dirt Triangle."
Me: "Hmm. I don't know what that is."
S: "Look, Mr. Cox it's like this...
"...You cover up the one you're looking for and if the other two are next to each other, you multiply. If one is above the other, you divide."
Me: "Really? That's strange. I never learned the Dirt Triangle. I learned...
The Turd Triangle
S1: "No, that won't work. That's not what he told us."
S2: "He said it didn't matter how we wrote it."
Me: "So which is it; does one work or are they the same? Make your case and be ready to defend it."
Helping students develop a turd detector one day at a time.
 Students picked up the triangle in another class. They said that the formulas were given early on and explained. However, many were still missing problems so the triangle was introduced.