Hmm. I'm teacher algebra II.
A student asked me what the square root symbol on an assignment was.
"that's the square root."...blank stare..."to get a square root ...its the opposite of squaring." couple studentw perk up, "look at problem 7, it asks you to graph the square root of 6, whats the square root."
"three." says one student
Pause. "no, 2 times 3 is 6,"
"I want a calculator."
"sorry we don't have the batteries yet."
"think it this way, you are not trying to find the answer, you just want an about, 1 * 1 is 1, 2 *2 is 4, 3 *3 is 9, so you know the square root of 6 is somewhere between 2 and 3."
"we don't have to know exactly?"
"can you graph decimals exactly?"
Student pauses and asks the real question, "so if we graph an about and we are close, you won't count it wrong."
"nope"
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