While reviewing conversions I showed the students a recipe and asked what would be necessary to double the recipe.
"Multiply by two!" came the replies.
"So if there is 1 1/2 cups of cornmeal in the recipe, how much would I need for my doubled recipe?" I ask. "1 cup!" yells a very bright student (no kidding, this kid is smart!)
"Walk me through that," I say puzzled.
"1 1/2 times 2 equals 1," he stated.
"Really?"
"Yeah."
"How?"
"Oh I thought we were doing 1/2 times 2."
No you didn't, you just realized you made a HUGE fail!
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