C/D - Geometry/Trigonometry > Calculus

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Current Events » C/D - Geometry/Trigonometry > Calculus
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Calculus is very simple if you have a firm grasp on Geometry, Trig, and Algebra.
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D, it's all the same to me so equally bad
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C/D what? that its harder? that its more useful?
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monkmith posted...
more useful

Post #7 was unavailable or deleted.
Definitely not.

Now today's math problem. What's the radius of the circle centered on the y axis that is tangent to both y=x^2 and y=4?
The alternate domination of one faction over another is itself a frightful despotism. - George Washington
I teach all three.

Calculus is the most fun to teach because the students I get are all the motivated Advanced Placement students who will put in the work and ask for help. Of course it's only Calculus 1 (AB) level material spread over a full year which makes it easier to digest.

AP Precalculus is interesting because the first semester is kind of a victory lap of Algebra/Geometry/Algebra II (or in my case Integrated Math I-III) in terms of content. Then Semester 2 hits hard with all of the Trigonometric functions, but by then they're used to the rigor of the course so it's an easier blow to take than normal.

Geometry is great when learning about how the Greeks did it and incorporating rigorous proof, but imo it's undervalued and poorly understood in middle and high schools.
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C. I really enjoyed Trig, Geometry was sort of 'meh' because of the proofs, but Calculus was just torture.
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FLOUR posted...
Now today's math problem. What's the radius of the circle centered on the y axis that is tangent to both y=x^2 and y=4?
I just played around on desmos and got x^2 + (y-2.5)^2 = 2.25
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Of course the foundation courses are more useful. For the same reason the words you learned in grade school are more useful than when you were in an advanced class.
"Something's wrong! Murder isn't working and that's all we're good at." ~Futurama
Shapes bite, but calculus is kinda fun. While calculus deals a lot with circles, i felt like i was thinking less about the shape, and more about formulas which I prefer.
Mind you, it's been about a decade since I've taken any formal classes about math.
Warning: Sometimes biased
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I tend to use calculus whenever I use geometry, tbh. The other way around happens, but not nearly as often.
Arguing on CE be all like:
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Calculus is easier, more fun, and far more useful for the things I'm interested in. Understanding derivatives/integrals and how they affect formulas is very useful in understanding gaming math. Derivatives are simple and integrals are interesting. There's whole communities of people who do integrals for fun with its own drama: https://www.youtube.com/watch?v=7gQ9DnSYsXg

You guys really having fun with sohcahtoa, circles, and similar triangles? You enjoy memorizing formulas for area, surface area, volume? Hell, that stuff is often easier to derive using calculus.
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Current Events » C/D - Geometry/Trigonometry > Calculus