This follows two videos involving Pythagorean Triples, cases where all three sides of a right triangle are whole numbers. In most cases the side you are looking for is not a whole number, so you need to be able to find a square root. Today, the usual solution is to use a calculator. However, it is good to know how square roots can be found by hand to demystify the process. This is what is going on behind the scenes when you hit the square root key.
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https://www.youtube.com/watch?v=JTjeiixCaXo
3-D demonstration of the motions of the sun and moon in the sky, created using Visual Python (VPython).
[By the way, given the number of clueless comments, it seems I must point out, this simulation HAS ABSOLUTELY NOTHING TO DO WITH THE MIND NUMBINGLY LUNATIC FLAT EARTH "THEORY" NONSENSE!!! (Don't waste my time.) This is about the apparent sky for a localized observer: a phenomenological perspective one has for observational astronomy or navigation. (Go outside and look up!) When you stand on the ground and see a few hundred yards, the earth appears locally flat. You lack depth perception for cosmic distances because your eyes are close together compared to the distances involved. That's why the sun, moon, and stars appear to be at the same distance. When everything in the cosmos appears the same distance away, it gives the illusion that they all lie on a sphere centered on the observer. Hence the sphere of the sky is an illusion. This simulation is about understanding this localized perspective.]
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https://www.youtube.com/watch?v=5k--My8fnes
The basic area formulas presented as reasoned methods rather than formulas to be memorized. Part 4 shows the derivation of the surveyor's method for finding the area of an arbitrary polygon or an arbitrary curve that can be approximated as a polygon.
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https://www.youtube.com/watch?v=uKHIkvU5BXI
This is part of a series of arithmetic lessons created for my grandkids, but I'm opening them to the world. You can access an annotated index with links on my Math Without Borders website here: https://mathwithoutborders.com/the-grandpa-project
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https://www.youtube.com/watch?v=qsc06ji0Gq8
Sample physics lesson. The new physics course will be available sometime in the late spring or summer of 2020. For more information go to http://mathwithoutborders.com
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https://www.youtube.com/watch?v=tPSIn4-pGoo
Tracker is a part of the Open Source Physics project. It is a wonderful tool that can be used to measure motion in videos, turning a video camera into a data-gathering instrument. This use of Tracker relates to a kinematics lesson early in a physics course: the motion of a projectile moving under conditions where air resistance is negligible.
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https://www.youtube.com/watch?v=JhI-_glsE6o
I have a collection of links to data, interviews, presentations, and videos in pdf format here: https://www.lcurve.org/writings/LocalArticles/VaccineConcerns.pdf
I will be updating the links periodically.
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https://www.youtube.com/watch?v=kMgM0KSO_KE
This is part of a series of arithmetic lessons created for my grandkids, but I'm opening them to the world. You can access an annotated index with links on my Math Without Borders website here: https://mathwithoutborders.com/the-grandpa-project
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https://www.youtube.com/watch?v=4vVPI7W1hhA