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OT: The "Pix was entrusted to teach, give me Extra Credit questions" Thread

forty_three

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You could label a question "PENULTIMATE QUESTION" and make it worth 5 points. Make it the bottom of a page.

Then put another on the back worth ten points. "Define Penultimate".
 

pixburgher66

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This week I went with two Clue characters (@dash maybe with that one?) and what two rivers form the Ohio in Pittsburgh (@dash I think that was you too, hah)
 

pixburgher66

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You could label a question "PENULTIMATE QUESTION" and make it worth 5 points. Make it the bottom of a page.

Then put another on the back worth ten points. "Define Penultimate".

So, last night during the Pens game they had the US Open trophy there (Oakmont this year) and the director of PGA history (some title like that) was on talking about the trophy, the tournament, yadda yadda. He gets to talking about Oakmont, how it's a tough course, and then it happened. "Really, Oakmont is the penultimate US Open course." HAH! NO SIR! YOU ARE INCORRECT!
 

Vadered

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Two part question:

1. If A squared plus B squared = C squared {Pythagorean theorem}, then A < C. Prove.
2. If A < C, why do you want an A in my class?

You should use this, and anyone who correctly DISproves it gets points, while folks who incorrectly prove it do not (A=B=C=0, or A=3, B=4, C=-5 are both valid disproofs).
 
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You should use this, and anyone who correctly DISproves it gets points, while folks who incorrectly prove it do not (A=B=C=0, or A=3, B=4, C=-5 are both valid disproofs).

You'd have to get rid of the Pythagorean theorem designation for this to be a fair question, since the Pythagorean theorem has the context of triangles, for which sides of zero or negative length are nonsense. So in the frame of right triangles, it's perfectly fair to say A<C always, because the lengths of sides of triangles are greater than zero by necessity.

The general relation A^2 + B^2 = C^2, for the set of real numbers, does not require A<C. The same relation for the set of positive numbers (like in the context of the Pythagorean theorem), however, does require A<C.
 

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You'd have to get rid of the Pythagorean theorem designation for this to be a fair question, since the Pythagorean theorem has the context of triangles, for which sides of zero or negative length are nonsense. So in the frame of right triangles, it's perfectly fair to say A<C always, because the lengths of sides of triangles are greater than zero by necessity.

The general relation A^2 + B^2 = C^2, for the set of real numbers, does not require A<C. The same relation for the set of positive numbers (like in the context of the Pythagorean theorem), however, does require A<C.

I'm well aware of the origins of the theorem, DS, though I appreciate the implication that I've never taken any sort of high school math.

And yes, you should remove the designation. Thing is though, it's supposed to be a trick question. If you think A^2+B^2=C^2 is going to trick your students into assuming the Pythagorean theorem, that's fine. If not, use a different contextually true but generally false theorem without context. It's supposed to prod them into critical thinking; just because you imply something is true doesn't mean it is. If anyone complains? So what, it's extra credit. Seriously, you asked somebody to name two characters from a stupid old board game; pretty sure you can do whatever you want at this point.






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DragonfromTO

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I'm well aware of the origins of the theorem, DS, though I appreciate the implication that I've never taken any sort of high school math.

And yes, you should remove the designation. Thing is though, it's supposed to be a trick question. If you think A^2+B^2=C^2 is going to trick your students into assuming the Pythagorean theorem, that's fine. If not, use a different contextually true but generally false theorem without context. It's supposed to prod them into critical thinking; just because you imply something is true doesn't mean it is. If anyone complains? So what, it's extra credit. Seriously, you asked somebody to name two characters from a stupid old board game; pretty sure you can do whatever you want at this point.






Colonel Mustard Professor Plum Mr Green Mrs White Ms Scarlett Mrs Peacock Mr Boddy

The way that the question was worded by BGDave did more than just imply it though, he specifically wrote "Pythagorean Theorem" in brackets.
 

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The way that the question was worded by BGDave did more than just imply it though, he specifically wrote "Pythagorean Theorem" in brackets.

The post you quoted had me agreeing with you - I said you should remove the designation.
 

BGDave

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I guess I could have also added a, b, c >0

Wow, a Math discussion on SportsHoopla. Dont know if that is a first, but well done to all !
 
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