In the continuing (hypothetical) storyline of the Lost in the Amazon unit, students apply the concepts they learned regarding mass, volume and density in the previous activities to design boats to get them out of the jungle.

View the full activity on TeachEngineering:
https://www.teachengineering.o....rg/activities/view/c

TeachEngineering has over 1,500 FREE lessons and activities. Visit https://www.teachengineering.org/ for more

Music: EDM Detection Mode - Kevin MacLeod

Maths Lab + GeoGebra Training by Try For Learn, GeoGebra session by Try For Learn Team
Presentation: Nabin Devkota

A difficult Putnam question with an elegant solution.
This video was sponsored by Brilliant: https://brilliant.org/3b1b
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/putnam-thanks
Home page: https://www.3blue1brown.com/

Solution to the puzzle mentioned at the end: https://brilliant.org/3b1bindicator/

These videos exist thanks to Patreon:
https://www.patreon.com/3blue1brown

A different write-up of this solution:
http://lsusmath.rickmabry.org/....psisson/putnam/putna

1992 Putnam with this problem:
http://kskedlaya.org/putnam-archive/1992.pdf

A problem with a similar flavor came up on the 2005 Putnam A6. Give it a try! The solution for that problem, by the way, was written by Calvin Lin, a friend of mine who works at Brilliant. Small world!
http://kskedlaya.org/putnam-archive/2005.pdf
http://kskedlaya.org/putnam-archive/2005s.pdf

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Animations largely made using manim, a scrappy open source python library. https://github.com/3b1b/manim

If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.

Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcam....p.com/album/the-musi

Stream the music on Spotify:
https://open.spotify.com/album..../1dVyjwS8FBqXhRunaG5

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that).

If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended

Various social media stuffs:
Website: https://www.3blue1brown.com
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Reddit: https://www.reddit.com/r/3Blue1Brown

Discover hundreds of never-before-seen resources! Create your free account at https://my.happylearning.tv/ and start learning in the most entertaining way.

What are you waiting for? 💭Did you know that dolphins speak!?
💭?? Who can tell me how?
👇Answer in the comments bellow!
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Recommended video: Sharks!
https://youtu.be/bdKPFrJJmtU
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Did you know that dolphins sleep with one eye open?
This is because they sleep with only a half of their brain, the other half remains awake to be able to keep on breathing. In a day’s journey, dolphins sleep 4 hours with each part of their body. There are 3 reasons why this occurs. The first is to stop themselves from drowning. The second is to remain alert for any danger as they sleep. The third reason is to allow the muscles to keep moving, since mammals have warm blood and this enables them to maintain their body temperature.

Did you know that dolphins have names for each other like humans?
The truth is that dolphins never stop surprising us. The university of San Andrew in Scotland has discovered that dolphins communicate with each other using names. Yes, Yes like me and you. It is the only animal, except humans, that has been known to do this. Each dolphin has a unique name that differentiates it from others.

It is believed that when mothers give birth, they emit a sound. And this sound, from that very moment, becomes their name.
Did you know that dolphins can’t smell?
Even though they have great ears and excellent vision, dolphins can’t smell. To find their prey they use echolocation. This means that they emit sounds that travel along the water in form of waves. When these waves arrive at something that is solid, they bounce back and the dolphin is able to detect them. When sounds are travelling for long distance, dolphins are able to detect predators or dangers before seeing them, but not all of them.

The contamination of the seas and oceans is destroying the lives of many dolphins and other animals. You need to look after nature so this doesn’t occur and to enable dolphins, these marvelous sea mammals, to keep on living in seas free and happy.

https://www.patreon.com/homeschoolpop Learn Spanish words the easy way with this fun learning video for kids! You'll learn the seasons of the year in Spanish, the colors, sports, animals and more!

00:00 Seasons of the year in Spanish
6:21 Colors in Spanish
17:04 Sports in Spanish
25:19 Pets in Spanish
35:10 Farm animals in Spanish
45:39 Sea creatures in Spanish
1:05:16 Furniture in Spanish
1:14:30 Foods in Spanish
1:24:58 Insects in Spanish

Music credits:
Paradise Found, BossaBossa, Laserpack, Strength of the Titans, Moonlight Beach, Still Pickin, Magic Scout- Farm, Winter Reflections, Funin and Sunin, Teddy Bear Waltz, Aitech, Aerosol of My Love, Wepa, Pinball Spring, Limit 70, Rising Tide, Son of a Rocket, Mellowtron, Chipper Doodle, Journey to Ascend, Sincerely, Blippy Trance, Voltaic, Prelude and Action, Welcome to the Show, Bassa Island Game Loop, District Four, Del Rio Bravo, Pamgaea, Glitter Blast, Electric Caballo, Accralate, EDM Detection Mode, Hotrock, Bit Quest, Equatorial Complex, The Lift, Angel Share, Ouroboros, Voice Over Under, Tech Live, Vibing Over Venus, Wholesome, Envision, Bossa Antigua, Kawai Kitsune, Fantasia Fantasia, Severe Tire Damage, Deliberate Thought, Modern Jazz Samba, Rocket, Getting it Done
Link: https://incompetech.filmmusic.....io/song/5759-blippy-
License: http://creativecommons.org/licenses/by/4.0/

Thanks for learning with me today! I hope to see you next video!

Daniel
"Homeschool Pop"

Thousands of parents and educators are turning to the kids’ learning app that makes real learning truly fun. Try Kids Academy now! Enjoy our special Cyber Week offer. The price was 75% higher! https://clck.ru/YtVjE

Educational video to learn numbers up to 20 in a fun and easy way. Ideal for Preschool and Kindergarten!

Numbers will form the basic foundation for your kid’s learning process. These are the first steps towards academic learning and this foundation needs to be very strong if you want your kid to grasp the upcoming concepts quickly and very firmly.

Start with the number zero. Use some of the most common things around to use as examples to explain the concept of zero. Zero means ‘nothing’. So, if there were six ducks before but now they are all gone what do we say how many ducks are there now? Yes, we say zero. This will clear the concept of zero in the kid’s mind that when we say zero it means that there is no quantity of the particular thing present.

Kids can learn anywhere and anytime, it all depends on how you use your environment to bring out some lessons from it. So, you must have been in an elevator with your kid multiple times. So why not use the floors as a counting lesson. Yes, it’s very easy and your kid will have some fun too. Count all the floors till which the elevator travels to. This will help the kid to memorize numbers in a more natural and easy way.

Just like this, you can plan some other fun activities to help the kid learn numbers easy and fast. Pick up fun things from your own surrounding and it would make the lessons much more interesting for the kid.

#TalentedAndGifted #LearnWithKidsAcademy

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Adhesives based on gecko skin can hold huge weights – without sticking to anything. Head to https://brilliant.org/Veritasium to start your free trial. The first 200 of you will get 20% off Brilliant’s annual premium subscription.

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Thanks to Dr. Mark Cutkosky, Tony Chen, Amar Hajj-Ahmad, and the rest of the Biomimetics and Dexterous Manipulation Lab at Stanford University for showing us the power of gecko adhesives.

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References:
Russell, A. P., Stark, A. Y., & Higham, T. E. (2019). The integrative biology of gecko adhesion: historical review, current understanding, and grand challenges. Integrative and comparative biology, 59(1), 101-116. – https://ve42.co/Russell2019

Hajj-Ahmad, A., Suresh, S. A., and Cutkosky, M. R. (June 6, 2021). "Cutting to the Point: Directly Machined Metal Molds for Directional Gecko-Inspired Adhesives." ASME. J. Micro Nano-Manuf. – https://ve42.co/Hajj-Ahmad2021

Kerst, Capella F., "Gecko inspired adhesives : permanent practical manufacturing, new materials, and applications," PhD Thesis, Stanford University, December 2020. – https://ve42.co/Kerst2020

Suresh, S.A. "Engineering Gecko-Inspired Adhesives." Ph.D. thesis, Stanford University, 2020. [Online]. – https://ve42.co/Suresh2020

Suresh, S.A., Kerst, C.F., Cutkosky, M.R., Hawkes, E.W. "Spatially variant microstructured adhesive with one-way friction." Journal of the Royal Society Interface. 2019. – https://ve42.co/Suresh2019

Glick, P., Suresh, S.A., Ruffatto III, D., Cutkosky, M.R., Tolley, M.T., and Parness, A. "A soft robotic gripper with gecko-inspired adhesive." Robotics and Automation Letters. 2018. – https://ve42.co/Glick2018

Christensen, D.L., Hawkes, E.W., Suresh, S.A., Ladenheim, K. and Cutkosky, M.R., "µTugs: Enabling Microrobots to Deliver Macro Forces with Controllable Adhesives," IEEE/ICRA 2015 (preprint). – https://ve42.co/Christensen2015

Hawkes, E. W., "Applying Dry Adhesives to the Real World," Ph.D. thesis, Stanford University, 2015. – https://ve42.co/Hawkes2015

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Special thanks to our Patreon supporters:
Meg Noah, Bernard McGee, James Sanger, Elliot Miller, Brian Busbee, Jerome Barakos M.D., Amadeo Bee, TTST, Balkrishna Heroor, Chris LaClair, John H. Austin Jr., Eric Sexton, John Kiehl, Anton Ragin, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Mike Schneider, John Bauer, Jim Buckmaster, Juan Benet, Sunil Nagaraj, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi

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Written by Derek Muller & Petr Lebedev
Edited by Trenton Oliver
Animation by Ivy Tello
Filmed by Derek Muller & Albert Leung
Additional video/photos supplied by Pond5 & Getty Images
Music from Epidemic Sound
Exec. Produced by Derek Muller, Petr Lebedev, and Emily Zhang

The logistic map connects fluid convection, neuron firing, the Mandelbrot set and so much more. Fasthosts Techie Test competition is now closed! Learn more about Fasthosts here: https://www.fasthosts.co.uk/veritasium Code for interactives is available below...

Animations, coding, interactives in this video by Jonny Hyman 🙌
Try the code yourself: https://github.com/jonnyhyman/Chaos

References:
James Gleick, Chaos
Steven Strogatz, Nonlinear Dynamics and Chaos

May, R. Simple mathematical models with very complicated dynamics. Nature 261, 459–467 (1976). https://doi.org/10.1038/261459a0

Robert Shaw, The Dripping Faucet as a Model Chaotic System
https://archive.org/details/Sh....awRobertDrippingFauc

Crevier DW, Meister M. Synchronous period-doubling in flicker vision of salamander and man.
J Neurophysiol. 1998 Apr;79(4):1869-78.

Bing Jia, Huaguang Gu, Li Li, Xiaoyan Zhao. Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns Cogn Neurodyn (2012) 6:89–106 DOI 10.1007/s11571-011-9184-7

A Garfinkel, ML Spano, WL Ditto, JN Weiss. Controlling cardiac chaos
Science 28 Aug 1992: Vol. 257, Issue 5074, pp. 1230-1235 DOI: 10.1126/science.1519060

R. M. May, D. M. G. Wishart, J. Bray and R. L. Smith Chaos and the Dynamics of Biological Populations
Source: Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 413, No. 1844, Dynamical Chaos (Sep. 8, 1987), pp. 27-44

Chialvo, D., Gilmour Jr, R. & Jalife, J. Low dimensional chaos in cardiac tissue. Nature 343, 653–657 (1990). https://doi.org/10.1038/343653a0

Xujun Ye, Kenshi Sakai. A new modified resource budget model for nonlinear dynamics in citrus production. Chaos, Solitons and Fractals 87 (2016) 51–60

Libchaber, A. & Laroche, C. & Fauve, Stephan. (1982). Period doubling cascade in mercury, a quantitative measurement. http://dx.doi.org/10.1051/jphy....slet:019820043070211 43. 10.1051/jphyslet:01982004307021100.

Special thanks to Patreon Supporters:
Alfred Wallace, Arjun Chakroborty, Bryan Baker, DALE HORNE, Donal Botkin, halyoav, James Knight, Jasper Xin, Joar Wandborg, Lee Redden, Lyvann Ferrusca, Michael Krugman, Pindex, Ron Neal, Sam Lutfi, Tige Thorman, Vincent

Special thanks to:
Henry Reich for feedback on earlier versions of this video
Raquel Nuno for enduring many earlier iterations (including parts she filmed that were replaced)
Dianna Cowern for title suggestions and saying earlier versions weren't good
Heather Zinn Brooks for feedback on an earlier version.


Music from:
https://epidemicsound.com "What We Discovered" "A Sound Foundation 1" "Seaweed" "Colored Spirals 4"

https://ve42.co/Artlist "Busy World" "Children of Mystery"

This short video defines the term ‘arts integration’.
View this video with audio description at: https://youtu.be/iMBO672YtCM

ArtsWA’s Creative Start program is focused on increasing arts integration teaching and learning in preschool to 3rd grade classrooms across the state.

Project collaborators:
Clyde Petersen - Animator
Meredith Arena – Script Collaborator
Eli McCalmont – Voice Over Actor
Kate Myre - Vocal Coach/ Jack Straw Cultural Center
Daniel Guenther – Sound Engineer/ Jack Straw Cultural Center
Joan Rabinowitz – Executive Director / Jack Straw Cultural Center
Levi Fuller – Administrative Coordinator / Jack Straw Cultural Center
Tomo Nakayama - Music
Elliat Graney-Saucke – Production Supervisor

Music: City Won't Sleep by Tomo Nakayama

Black holes. Lets talk about them.


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Steve Taylor: https://kgs.link/youtube-voice


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700+ minutes of Kurzgesagt Soundtracks by Epic Mountain:

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https://soundcloud.com/epicmountain/black-holes
https://epicmountainmusic.band....camp.com/track/black
http://epic-mountain.com

Help us caption & translate this video!

http://www.youtube.com/timedtext_cs_panel?c=UCsXVk37bltHxD1rDPwtNM8Q&tab=2

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What Numbers Make 10 is a fun song that teaches children what numbers add up to 10. There are examples of things that add up to 10 and what things have 10 of something. This cool addition song teaches children which two numbers add up to equal 10.
We give each of the ways to make 10 showing it visually with unifix cubes. The next time we give one of the numbers to make 10 and you fill in the missing addend to make 10. We show our number in purple and the missing addend is in green for higher order learning.
LYRICS:

What Numbers Make 10

10 fingers, 10 toes
10 pins you know down when you bowl
10 cents makes one dime Chorus
What number make 10 every time

0 +10 makes 10
1 + 9 makes 10
2 + 8 makes 10
3 + 7 makes 10
4 + 6 makes 10
5 + 5 makes 10


10 fingers, 10 toes
10 pins you know down when you bowl
10 cents makes one dime Chorus
What number make 10 every time

6 + 4 makes 10
7 + 3 makes 10
8 + 2 makes 10
9 + 1 makes 10
10 + 0 makes 10

These number are friends of 10
Did you know crabs have 10 legs
And there are 10 years in a decade
And in football it takes 10 yards to get a first down
And when a rocket ship blasts off they count down from 10
Wow, 10 is a cool number

Now you answer on your own
1 + _ makes 10
2 + _ makes 10
3 + _ makes 10
4 + _ makes 10
5 + _ makes 10
6 + _ makes 10
7 + _ makes 10
8 + _ makes 10
9 + _ makes 10
10 + _ makes 10
These numbers are friends of 10

10 fingers, 10 toes
10 pins you know down when you bowl
10 cents makes one dime Chorus
What number make 10 every time


Jack Hartmann's website: http://www.jackhartmann.com
Remember to connect with Jack Hartmann on his Social Networks:
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CD Baby: http://www.cdbaby.com/Artist/JackHartmann

Join Miracle for another classic storytelling session featuring 'The Tortoise and the Hare.'

Visit https://www.abcmouse.com/learn/youtube to find out more about our award-winning online learning program for children 2–8!

Watch more songs, stories, and more by subscribing to our YouTube channel: https://youtube.com/abcmouse

© Age of Learning, Inc. All rights reserved.

Try Audible for 30 days: http://www.audible.com/artassignment or text "artassignment" to 500 500.
Public funding for the arts is a hotly-debated topic, but let's look at where arts funding goes, what it accomplishes, and how we compare internationally. Check out Origin of Everything's take!: https://youtu.be/RYIZFCIEYVs.

Thanks to our Grandmaster of the Arts Vincent Apa, and all of our patrons, especially Ian Eudailey, Patrick Hanna, Nichole Hicks, Eve Leonard, David Moore, Ever Morales, Jane Quale, and Constance Urist. To support our channel, visit: http://www.patreon.com/artassignment.

Thumbnail image depicts Urban Bush Women, whose work has been funded by the NEA: https://www.urbanbushwomen.org.

#art #arthistory #artsfunding #NEA

We've got two perfectly good hands attached to two perfectly good arms, so why do most people prefer to use one over the other for common tasks?

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/PBSDSDonate

Subscribe to It's Okay To Be Smart: http://bit.ly/iotbs_sub

David Wolman's "A Left Hand Turn Around the World" http://amzn.to/1wYqOS2
(lots more references in there!)

Chris McManus' "Right Hand, Left Hand" http://amzn.to/1umztyL

The best collection of the science of handedness on the internet: Right, Left, Right, Wrong - http://www.rightleftrightwrong.com/index.html

Genetic link between handedness and body asymmetry: http://www.plosgenetics.org/ar....ticle/info:doi/10.13

A gene associated with handedness and schizophrenia: http://www.nature.com/mp/journ....al/v12/n12/abs/40020

Genetic theories of handedness: http://www.rightleftrightwrong.....com/theories_geneti

Produced for PBS Digital Studios

Joe Hanson - Host and writer
Joe Nicolosi - Director
Amanda Fox - Producer, Spotzen IncKate Eads - Associate Producer
Katie Graham - Director of Photography
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Theme music:
"Ouroboros" by Kevin MacLeod

Stock images via Shutterstock

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The value of b^2-4ac gives us some immediate information about how the graph of our Quadratic Function will look. This video discusses the three scenarios one will run into when trying to graph a Quadratic Function.

Some images made using Geogebra.

#b^2-4ac
#Quadratics
#Discriminant
#JoeCMath
#Algebra

0:00 Introduction
0:23 Three scenarios for b^2-4ac
0:40 b^2-4ac is positive
1:44 b^2-4ac is zero
2:40 b^2-4ac is negative
3:32 Summary
4:35 Subscribe if the Krusty Krab is better than the Chum Bucket

New technique from Anthropic helps us glean into the black box of generative AI models.

Let's break this down a bit and understand what this means.

#artificialintelligence @anthropic-ai #generativeai

Educational video for children to learn what machines are, for what we use them and the importance they have in our everyday lives. Children will be shown a school scene where many machines will be used to get ready for a school theater play. They will learn what a simple machine is and for what we use it like the ramp, the lever, the wheel, the axle and the pulley. They will also learn what a complex machine is and how it works like a car, a toaster or a washing machine. Excellent resource for elementary school.

Thanks for visiting us! If you want your children to smile and learn, subscribe! :D

We only upload our own content, designed by educators so that children smile and learn while watching a video.

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If you like our videos, download Smile and Learn now. You’ll discover more than 5.000 activities for children aged 3 to 12 yeards, all designed by educators. We have 250 games and interactive stories and over 280 videos in five languages: English, Spanish, Portuguese, Italian and French. Try a month for free and start the adventure!