the-brachistochrone

Welcome to Clip from Spiral logo

Interactive video lesson plan for: The Brachistochrone

Activity overview:

BRAIN CANDY LIVE TICKETS: http://www.braincandylive.com/tickets
Links to sources and to learn more below!
MY TWITTER: http://www.twitter.com/tweetsauce
MY INSTAGRAM: http://www.instagram.com/electricpants
THE CURIOSITY BOX: https://www.curiositybox.com/

Stan Wagon “Roads and Wheels” [PDF]: http://web.mst.edu/~lmhall/Personal/RoadsWheels/RoadsWheels.pdf

3Blue1Brown video, “The Brachistochrone, with Steven Strogatz”: https://www.youtube.com/watch?v=Cld0p3a43fU

Pile of people visualization originally from this Vsauce1 video: https://www.youtube.com/watch?v=C6eOcd06kdk

Online spirograph: http://nathanfriend.io/inspirograph/

The Brachistochrone http://whistleralley.com/brachistochrone/brachistochrone.htm

Rolling:
http://www.animations.physics.unsw.edu.au//jw/rolling.htm
http://teacher.pas.rochester.edu/phy121/LectureNotes/Chapter12/Chapter12.html

Refraction of light:
http://www.physicsclassroom.com/class/refrn/Lesson-1/Refraction-and-Sight
http://www.funscience.in/study-zone/Physics/RefractionOfLight/AtmosphericRefraction.php
http://www.walter-fendt.de/html5/phen/refractionhuygens_en.htm
http://micro.magnet.fsu.edu/primer/java/particleorwave/refraction/
http://astro.unl.edu/classaction/animations/telescopes/snellslaw.html
http://demonstrations.wolfram.com/FermatsPrincipleAndSnellsLaw/

Feynman on The Principle of Least Time: http://www.feynmanlectures.caltech.edu/I_26.html

cycloid as answer to brachistochrone: https://sinews.siam.org/About-the-Author/quick-find-a-solution-to-the-brachistochrone-problem-1

Music from:
https://www.youtube.com/jakechudnow
and
http://www.audionetwork.com

Roulette animations by Eric Langlay https://www.youtube.com/c/ericlanglay

good relevant Wikipedia articles:

https://en.wikipedia.org/wiki/Brachistochrone_curve
https://en.wikipedia.org/wiki/Tautochrone_curve
https://goo.gl/SlRDhK
https://en.wikipedia.org/wiki/Cycloid
https://en.wikipedia.org/wiki/Snell's_law

Wolfram demonstration projects used:

"Cycloid Curves" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/CycloidCurves/
Contributed by: Sean Madsen
Additional contributions by: David von Seggern (U. Nevada, Reno)

"Shaping a Road and Finding the Corresponding Wheel" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/ShapingARoadAndFindingTheCorrespondingWheel/
Contributed by: Stan Wagon (Macalester College)

Tagged under: michael stevens,adam savage,brachistochrone,curve,math,geometry,cycloid,roulette,rolling,brain candy live,tautochrone,maths,science,snell' law,light,refraction

Find more lesson plans like this:

Medal of Honor Recipient Michael P. Murphy

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

Play this activity

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

Share on:

Share The Brachistochrone on Google+ Share The Brachistochrone on Twitter Share The Brachistochrone on Facebook Pin The Brachistochrone Email The Brachistochrone

Ready to see what else Spiral logo can do?

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

1000s of teachers use Spiral to deliver awesome, engaging activities that capture students' understanding during lessons.

Now it's your turn Sign up

Spiral Reviews by Teachers and Digital Learning Coaches

Spiral
Review of Spiral by teacher: Kathryn Laster @kklaster

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Spiral
Review of Spiral by teacher: Room 220 Math Stars @3rdgradeBCE

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Spiral
Review of Spiral by teacher: Miss Ord @ordmiss

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Spiral
Review of Spiral by teacher: Adam J. Stryker @strykerstennis

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Spiral
Review of Spiral by teacher: Dr Ayla Göl @iladylayla

A good tool for supporting active #learning.

Spiral
Review of Spiral by teacher: Brett Erenberg @BrettErenberg

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!

Get the Clip Chrome Extension & Create Video Lessons in Seconds

Add Clip to Chrome