This process will gradually tighten the loop, until chaos causes the river to suddenly double back on itself, at which point it will begin forming a loop in the other direction.īecause the length of a near-circular loop is like the circumference of a circle, while the straight-line distance from one bend to the next is diameter-like, it makes sense that the ratio of these lengths would be pi-like.įollow Natalie Wolchover on Twitter nattyover or Life's Little Mysteries llmysteries. The slightest curve in a river will generate faster currents on the outer side of the curve, which will cause erosion and a sharper bend. He used fluid dynamics and chaos theory to show that rivers tend to bend into loops. Turns out, the average meandering ratio of rivers approaches - you guessed it - pi.Īlbert Einstein was the first to explain this fascinating fact. Rivers that flow straight from source to mouth have small meandering ratios, while ones that lollygag along the way have high ones. A river's windiness is determined by its "meandering ratio," or the ratio of the river's actual length to the distance from its source to its mouth as the crow flies. Field Goal vs.Finally, pi emerges in the shapes of rivers.TI’s Path to STEM Projects Are Now Available in Python.Puzzling Students to Push Their Understanding.Leveraging CAS To Explore & Teach Mathematics, Part 2.These 4 polar graphs are a great way to have a little flirtatious fun in your Pre-Calculus or Calculus class this Valentine’s Day. Then, press the zoom key and either press 0 or arrow down to ZoomFIT. Talk about a passionate polar graph! (Absolute can be found by pressing the math key then arrow to NUM.) Then, press the window key. To get started sharing your heart, press the y= key. Then, you will need to enter 0 or ZoomFIT to complete your masterpiece. Send your valentine a flower by graphing one on your TI calculator. Now, you should be feeling all fuzzy inside. Again, either press 0 or arrow down to ZoomFIT. Then in r1, input the equation for the butterfly curve above. Desire a bigger spiral? Try changing θmax to a bigger number.įalling in love usually comes with butterflies? So, why not learn how to graph the butterfly curve: Now, you will want to either press 0 or arrow down to ZoomFIT, either way works. In r1 enterθ by pressing the " X,T,θ,n" key. Use your calculator to graph a spiral that’s sure to catch the eye of that special someone. Press the mode key, then press the arrow down button until you get to FUNCTION, then move right 2 spaces to POLAR and press the enter key. Albert Einstein was born on Pi Day () in Ulm Wurttemberg, Germany. The official celebration begins at 1:59 p.m., to make an appropriate 3.14159 when combined with the date. To get started, you will need to put your TI-84 Plus graphing calculator in polar mode. Albert Einstein was born on Pi Day () 'Pi Day' is celebrated on March 14 (which was chosen because it resembles 3.14). You’ll have your classmates swooning with these colorful creations. We get this question a lot from students and teachers: How do you draw things like hearts and flowers on your TI graphing calculator? In honor of Valentine’s Day, we are here to share the love and teach you how to turn your TI calculator into a love note.
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