Have you ever made french toast? Join Caroline and Sophie for Circle Time as they read the book “Breakfast Time” by Cynthia Platt. Listen to the story of how Ollo and Peck make breakfast together. Watch as they whisk ingredients together and make their favorite meal. Learn words with the /fr/ sound, like fridge, fresh, and fruit!

For more fun after the show, print today’s Writing Workshop so kids can plan their own meal with Ollo and Peck!
http://khan.co/KhanKids-Print-April8

Learn more about Khan Academy Kids, our free educational app for children ages 2-7 at http://www.khankids.org.

Available on Apple, Google Play, and Amazon app stores:
http://khan.co/KhanKids-YT-Apple
http://khan.co/KhanKids-YT-Google
http://khan.co/KhanKids-YT-Amazon

Subscribe to our channel so you don’t miss a single episode of Circle Time!

In this lesson, you will learn how to fill out a multiplication table (also known as a multiplication chart or a times table chart).

​▶ Free PDF Guide: https://bit.ly/3ncTwPG

Tags: multiplication table, multiplication chart, times table chart, 8 times table, 7 times table, 6 times table, 12 times table, 4 times table, multiplication chart printable, multiplication chart 1 to 100, times times tables

#MashupMath​

★ Want more FREE weekly math videos? Subscribe Now: http://bit.ly/1OVJnyh​​

★★ Why Math? Download YOUR Free eBook and sign-up for our FREE weekly newsletter: http://www.mashupmath.com/resources/

=================================================
More Animated Bible Stories here https://ouo.io/QRLcnJ
=================================================

BUY YourvOwn Bible @ ALIEXPRESS http://ivononic.com/5EY7

FREE Math Videos for Toddlers
http://vismuene.com/6b7a

Buy your own multi-purpose learning module https://invol.co/cl18o24
Buy Rosary here https://invol.co/cl18kr6
Click this link to buy bible https://invol.co/cl14yim Objectives: From ratio and proportion for groups of objects/numbers
1.1 Visualize the meaning of proportion
1.2 Tell whether two ratios make a proportion
1.3 Find a missing term in a proportion
This video is compatible with Interactive Whiteboard
Download my Math Interactive Whiteboard Lessons and flash games here: http://iwb-resources.blogspot.com

The last star in the universe will be a red dwarf. Red dwarfs in general might be great places to look for aliens – or planets for humans to find a new home after our solar system has died.


OUR CHANNELS
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
German Channel: https://kgs.link/youtubeDE
Spanish Channel: https://kgs.link/youtubeES


HOW CAN YOU SUPPORT US?
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
This is how we make our living and it would be a pleasure if you support us!

Get Merch designed with ❤ from https://kgs.link/shop
Join the Patreon Bird Army 🐧 https://kgs.link/patreon


DISCUSSIONS & SOCIAL MEDIA
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Reddit: https://kgs.link/reddit
Instagram: https://kgs.link/instagram
Twitter: https://kgs.link/twitter
Facebook: https://kgs.link/facebook
Discord: https://kgs.link/discord
Newsletter: https://kgs.link/newsletter


OUR VOICE
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
The Kurzgesagt voice is from
Steve Taylor: https://kgs.link/youtube-voice


OUR MUSIC ♬♪
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
700+ minutes of Kurzgesagt Soundtracks by Epic Mountain:

Spotify: https://kgs.link/music-spotify
Soundcloud: https://kgs.link/music-soundcloud
Bandcamp: https://kgs.link/music-bandcamp
Youtube: https://kgs.link/music-youtube
Facebook: https://kgs.link/music-facebook

The Soundtrack of this video:

https://epicmountainmusic.band....camp.com/track/red-d
https://soundcloud.com/epicmountain/red-dwarfs
http://epic-mountain.com


🐦🐧🐤 PATREON BIRD ARMY 🐤🐧🐦
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Many Thanks to our wonderful Patreons from http://kgs.link/patreon who support us every month and made this video possible!


The Last Star in the Universe – Red Dwarfs Explained

Help us caption & translate this video!

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

TeacherTube User: Dreamboxlearning

TeacherTube URL: http://www.teachertube.com/vie....wVideo.php?video_id=

This is a math video lesson to help you with new math, math tricks, and or simple math questions you may have.

Teachers take a tour of DreamBox Learning the online math game for kids

Amplify Desmos Math is a K—12 math curriculum designed to make learning math engaging and enjoyable for students and teachers alike. It uses a structured approach to problem-based learning that sparks curiosity and helps students develop a deep understanding of important mathematical concepts. Amplify's program offers a variety of resources for both teachers and students, including interactive lessons, personalized practice activities, and assessments that inform instruction. With Amplify Desmos Math, we believe in math that motivates.

Learn more about the Amplify Desmos Math program here:
https://amplify.com/programs/amplify-desmos-math/

Want to hear from more educators as they share practical advice and strategies for creating successful classrooms? Check out Teacher Connections: https://start.amplify.com/teacher-connections/

Connect with us!
Website: https://amplify.com/
Facebook: https://www.facebook.com/AmplifyEducation
Instagram: https://www.instagram.com/amplify.education
Twitter: https://twitter.com/amplify
LinkedIn: https://www.linkedin.com/company/amplifyinc

Periods & Groups In The Periodic Table | Properties of Matter | Chemistry | FuseSchool

Learn the basics about Periods and groups in the periodic table. Groups and periods are two ways of categorizing elements on the periodic table. How do you tell them apart and how do they related to periodic table trends? Find out more in this video!

This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: http://creativecommons.org/licenses/by-nc/4.0/ ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info@fuseschool.org

SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT.

VISIT us at [a]www.fuseschool.org%2C[/a] where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you.

These videos can be used in a flipped classroom model or as a revision aid.

Find all of our Chemistry videos here: https://www.youtube.com/playli....st?list=PLW0gavSzhMl

Find all of our Biology videos here: https://www.youtube.com/playli....st?list=PLW0gavSzhMl

Find all of our Physics videos here: https://www.youtube.com/playli....st?list=PLW0gavSzhMl

Find all of our Maths videos here: https://www.youtube.com/playli....st?list=PLW0gavSzhMl

Instagram: https://www.instagram.com/fuseschool/
Facebook: https://www.facebook.com/fuseschool/
Twitter: https://twitter.com/fuseSchool

Access a deeper Learning Experience in the FuseSchool platform and app: www.fuseschool.org
Follow us: http://www.youtube.com/fuseschool
Befriend us: http://www.facebook.com/fuseschool

This is an Open Educational Resource. If you would like to use the video, please contact us: info@fuseschool.org

This video is sponsored by Brilliant. You can get started for free, or the first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription. Check out Adam Savage's video: https://youtu.be/h_zytOcMwys

A massive thanks to Adam Savage and the whole Tested Crew – especially Kristen Lomasney, Ryan Kiser, and Joey Fameli. Thank you so much for coming out to the desert with us, and for inviting us to your cave! Check out the video we made with them on their channel – https://youtu.be/h_zytOcMwys

Another huge thanks to iFly Ontario for letting us shoot in your amazing windtunnel. Special thanks to Diana Rios, Treasa Telle, Michelle Brumley for having us and Anthony Jones, Torrell Henderson and Nate Roth for being great instructors. iFly run STEM education trips, where you can experience terminal velocity first hand – https://www.iflyworld.com/prog....rams/stem-field-trip

Thanks to Inland Empire Film Services and the San Bernardino County Film Office for portions of the video shot in the County of San Bernardino.

The raindrop video is from Alistair McClymont’s gorgeous artwork “Raindrop” – ​​https://alistairmcclymont.com/artwork/raindrop/

Video of the raindrop breaking apart is from the coolest paper i’ve read in a while – Villermaux, E., & Bossa, B. (2009). Single-drop fragmentation determines size distribution of raindrops. Nature physics, 5(9), 697-702. – https://ve42.co/Villermaux



▀▀▀
References:
Altair. (2019). Digital Debunking: Could a Penny Dropped Off the Top of the Empire State Building Actually Kill You? - https://ve42.co/Altair2019


Braeunig, R.A. Atmosphere Properties. - https://ve42.co/AtmosProp


The Guardian. (2014). Brutal winter weather brings new challenge: ice falling from skyscrapers - https://ve42.co/WTCicicle


NASA. (2018). The Apollo 15 Hammer-Feather Drop - https://ve42.co/NASAmoondrop


Red Bull Stratos - https://ve42.co/RBStratos


Quealy, K., Sanger-KatzIn, M. (2015). In Other Countries, You’re as Likely to Be Killed by a Falling Object as by a Gun. New York Times. - https://ve42.co/NYTFallingObject


National Safety Council. (2022). Struck by Objects. - https://ve42.co/NSCStruck


Williams, A. (2019). What are your chances of being killed by hail in the US? - https://ve42.co/Williams2019


NewScientist. (2021). Can bullets fired upwards cause injuries when they return to earth? - https://ve42.co/CelebratoryGunFire

Chambers, J. (2020). Meet the Flechette – the Deadliest Weapon of World War I? - https://ve42.co/Flechette

Wikipedia. Lazy Dog (bomb). - https://ve42.co/LazyDog

Gläser, N., Kneubuehl, B. P., Zuber, S., Axmann, S., Ketterer, T., Thali, M. J., & Bolliger, S. A. (2011). Biomechanical examination of blunt trauma due to baseball bat blows to the head. Journal of Forensic Biomechanics, 2 - https://ve42.co/Glaser2011

Yoganandan, N., Pintar, F. A., SANCES JR, A. N. T. H. O. N. Y., Walsh, P. R., Ewing, C. L., Thomas, D. J., & Snyder, R. G. (1995). Biomechanics of skull fracture. Journal of neurotrauma, 12(4), 659-668.

New York Times. (2014). Falling Tape Measure Kills Man at Jersey City Construction Site - The New York Times - https://ve42.co/NYTTapeMeasure

IMDb. (2006). "MythBusters" Bullets Fired Up (TV Episode). - https://ve42.co/MBgunfire

▀▀▀
Special thanks to: Elliot MIller, Louis Lebbos, RayJ Johnson, Brian Busbee, Jerome Barakos M.D., Amadeo Bee, TTST, Balkrishna Heroor, Chris LaClair, John H. Austin, Jr., OnlineBookClub.org, Matthew Gonzalez, Eric Sexton, john kiehl, Nathan Lanza, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Dumky, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Michael Schneider, jim buckmaster, Juan Benet, Robert Blum, Sunil Nagaraj, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal

▀▀▀
Written by Petr Lebedev, Derek Muller, and Emily Zhang
Filmed by Derek Muller, Trenton Oliver, Petr Lebedev, Emily Zhang, Raquel Nuno and Eddie Lopez
Animation by Ivy Tello, Mike Radjabov, Fabio Albertelli, and Jakub Misiek
Edited by Trenton Oliver and Derek Muller
FPV Drone Pilots: Sammie Saing and Josh Ewalt
Slow Motion Camera: Shawn Sanders and Anthony Corrales
Phantom slow motion camera & lenses provided by Panny Hire L.A
Helicopter Pilots: Rick Shuster and Cliff Fleming
Helicopter Safety Officer: Ryan Hosking
Production Assistants: Roman Bacvic and Eddie Lopez
Research Assistant: Katie Barnshaw
Additional video/photos supplied by Pond5 and Getty Images
Music from Epidemic Sound
Thumbnail by Ignat Berbeci
Produced by Derek Muller, Petr Lebedev, and Emily Zhang

In this session, we demystified prompt engineering, a crucial skill for successfully leveraging AI in your classroom.

This hands-on webinar designed specifically for educators covered everything from prompt engineering basics to more advanced techniques. Learn how to avoid common mistakes, save time on administrative tasks, brainstorm ideas, personalize learning, and more!

You will learn:

What is prompt engineering and why it matters

How to structure prompts to get better AI output

Tips for phrasing prompts aimed at different tasks

How to use prompts for lesson planning, administrative tasks, personalizing learning, and other classroom applications.

We'll also walked through our free Prompt Library containing dozens of prompts designed just for education and a perfect place to get started with ideas and examples.

Whether you're new to AI or more experienced, this webinar will take your prompt engineering skills to the next level and supercharge your teaching.

Probability Trees are a great way of organising your ideas when solving probability problems in math - allowing you to easily work out different results possible as well as actual probabilities.

To support free math by tecmath on Patreon (thankyou): https://www.patreon.com/tecmath
To make a one off donation: https://paypal.me/tecmath To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU
To support tecmath on Patreon: https://www.patreon.com/tecmath
To buy tecmath mechandise: https://teespring.com/stores/tecmath-store

This tutorial explains the different types of numbers commonly used in algebra. The number types discussed are counting, whole, integer, rational, irrational, and imaginary.

Join this channel to get access to perks:
https://www.youtube.com/channe....l/UCn2SbZWi4yTkmPUj5

:)

See Khanmigo in action - then try it out for yourself: http://khan.co/try-khanmigo

Let's gain some practice plotting points on a graph involving whole numbers, zero, and fractions!

★ Love math challenges? Get our new PDF workbook: 101 Daily Math Challenges to Engage Your Kids here: http://bit.ly/2nOCO9a

★ Want more FREE weekly math videos? Subscribe Now: http://bit.ly/1OVJnyh

★★ Why Math? Download YOUR Free eBook and sign-up for our FREE weekly newsletter: http://www.mashupmath.com/resources/

★★★ Learn More About Anthony: http://bit.ly/1KQ1Td3

Grade 6 » The Number System » Apply and extend previous understandings of numbers to the system of rational numbers. » 8

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

What is a picture graph?
What is a tally chart?
How can I use a picture graph to make a tally chart?
How can I use a tally chart to make a picture graph?
Practice with tally charts and picture graphs

...

MashUp Math is a great free resource for math students, parents, and teachers. Our lessons are a great resource for struggling students, flipped classroom educators, and homeschool math students.

✔✔JOIN OUR MAILING LIST: http://bit.ly/1TqV94V

✔FOLLOW US ON TWITTER: http://www.twitter.com/mashupmath
✔FOLLOW US ON INSTAGRAM: http://www.instagram.com/mashupmath
✔FOLLOW US ON PINTEREST: http://www.pinterest.com/mashupmath
✔LIKE US ON FACEBOOK: http://www.facebook.com/mashupmath

Learn about the nations, peoples, cultural characteristics, physical features, and political and economic structures of the Northern Tropics region in South America!
We hope you are enjoying our large selection of engaging core & elective K-12 learning videos. New videos are added all the time - make sure you come back often to learn more! If you’d like us to cover any additional topics, please let us know.
For practice, assessment, and many interactive activities that go along with each video, as well as a teacher/parent dashboard, go to Miacademy.co for Grades K-8 or Miaprep.com for grades 9-12!

Just how small are nanomaterials? And what can we do with stuff that small? Today we’ll discuss some special properties of nanomaterials, how some can change at different sizes, and the difference between engineered nanomaterials and ones that occur naturally. We’ll also talk about some of the future research that’s needed on the use of nanomaterials.

Crash Course Engineering is produced in association with PBS Digital Studios: https://www.youtube.com/playli....st?list=PL1mtdjDVOoO

Check out Deep Look: https://www.youtube.com/channe....l/UC-3SbfTPJsL8fJAPK

***

RESOURCES:
http://www.safenano.org/knowle....dgebase/resources/fa
https://www.niehs.nih.gov/heal....th/topics/agents/sya
https://ec.europa.eu/health/sc....ientific_committees/
https://www.nano.gov/nanotech-101/what/seeing-nano
https://www.britannica.com/tec....hnology/nanotechnolo
http://www.essentialchemicalin....dustry.org/materials
https://www.britannica.com/tec....hnology/scanning-tun
http://www.hwnanomaterial.com/nanomaterials_n63
https://www.hindawi.com/journa....ls/amse/2016/4964828
https://www.nano.gov/nanotech-101/special
https://www.zdnet.com/article/....nanotechnology-to-en
https://www.ncbi.nlm.nih.gov/p....mc/articles/PMC42403
http://news.mit.edu/2014/solid....-nanoparticles-defor
https://www.nanoscience.com/ap....plications/education
http://www.understandingnano.c....om/nanotubes-carbon.
http://newscenter.lbl.gov/2016..../10/06/smallest-tran
https://www.theverge.com/circu....itbreaker/2016/10/6/

***

Crash Course is on Patreon! You can support us directly by signing up at http://www.patreon.com/crashcourse

Thanks to the following Patrons for their generous monthly contributions that help keep Crash Course free for everyone forever:

Mark Brouwer, Kenneth F Penttinen, Trevin Beattie, Satya Ridhima Parvathaneni, Erika & Alexa Saur, Glenn Elliott, Justin Zingsheim, Jessica Wode, Eric Prestemon, Kathrin Benoit, Tom Trval, Jason Saslow, Nathan Taylor, Brian Thomas Gossett, Khaled El Shalakany, Indika Siriwardena, SR Foxley, Sam Ferguson, Yasenia Cruz, Eric Koslow, Caleb Weeks, D.A. Noe, Shawn Arnold, Malcolm Callis, Advait Shinde, William McGraw, Andrei Krishkevich, Rachel Bright, Mayumi Maeda, Kathy & Tim Philip, Jirat, Ian Dundore
--

Want to find Crash Course elsewhere on the internet?
Facebook - http://www.facebook.com/YouTubeCrashCourse
Twitter - http://www.twitter.com/TheCrashCourse
Tumblr - http://thecrashcourse.tumblr.com
Support Crash Course on Patreon: http://patreon.com/crashcourse

CC Kids: http://www.youtube.com/crashcoursekids

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/statistics-probab

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/e/basic_set_notation?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics

Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/factorial-and-counting-seat-arrangements?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics

Missed the previous lesson?
https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/subset-strict-subset-and-superset?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics

Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Probability and Statistics channel:
https://www.youtube.com/channe....l/UCRXuOXLW3LcQLWvxb
Subscribe to KhanAcademy: https://www.youtube.com/subscr....iption_center?add_us

Thousands of parents and educators are turning to the kids’ learning app that makes real learning truly fun. Try Kids Academy with
3-day FREE TRIAL! https://bit.ly/2GuGyL2

Your kids are welcome to enjoy and learn with Kids Academy brand new educational game. It offers 15 sorting and classifying activities of different difficulty levels. Designed by experienced educators, the game will help your kids develop a wealth of skillsets, such as categorizing, sorting and classifying.

Download at the App Store: https://itunes.apple.com/gb/ap....p/tinyhands-sorting-

Subscribe to our channel: https://goo.gl/iG2Bdr

Connect with us on :

Our website: http://www.kidsacademy.mobi
Facebook: https://www.facebook.com/KidsAcademyCompany
Twitter: https://twitter.com/KidsAcademyCo

Welcome to an introduction to economics! In a basic sense, economics is the study of the choices people make to satisfy their wants and needs with a limited supply of resources. In this video, you'll learn about the difference between wants and needs, goods and services, the concepts of resources and scarcity along with the three basic economic questions.

___

Thanks for watching! If you liked this video and/or learned something new, go ahead and hit the "thumbs up" button. Subscribe to the channel to stay up-to-date on new videos, too! Let's keep pursuing history together. :)

___

Some clip art used throughout the video is from the amazing The Artventurous Life: https://www.teacherspayteacher....s.com/Store/The-Artv

Music (all copyright free in YouTube Audio Library):
The Curious Kitten - Aaron Kenny
Everything You Wanted - Dan Lebowitz
Twilight Train - Dan Lebowitz
Jeremiah's Song - Dan Lebowitz

___

Copyright: Please do not reupload this video on YouTube or other social media websites or apps. You do not have permission to translate it into other languages or reupload the images, designs or narration to other YouTube channels or social media platforms.

You're already learning on YouTube — why not get college credit for it? https://link.gostudyhall.com/my1

Choosing majors can feel overwhelming and even confusing. It can feel like your whole life can be based on this one choice? And then what happens if you figure out you don't even like this major? Well, don't worry, we're here to help. In this episode, Erica talks to us about what majors are, how to choose one, and how to know if you should consider changing your major.

***
Now you can take top-tier college courses with Study Hall! Study Hall videos are available to watch at no cost, and first-year courses are $25 to sign-up and begin coursework. Once you're satisfied with your grade, receive credit for only $400. Sign up at https://link.gostudyhall.com/my1

Follow Study Hall on socials!
Twitter: https://twitter.com/gostudyhall
Instagram: https://Instagram.com/GoStudyHall
Facebook: https://www.facebook.com/GoStudyHall

Learn more about Federal Student Aid: https://studentaid.gov/h/understand-aid

_______________________________________________
Chapters:
0:00 - Introduction
2:06 - How majors work
3:53 - Selecting classes and balancing your time
6:00 - How and when to declare a major
8:24 - Resources to help you choose a major
_______________________________________________

Watch our videos and review your learning with the Crash Course App!
Download here for Apple Devices: https://apple.co/3d4eyZo
Download here for Android Devices: https://bit.ly/2SrDulJ

Crash Course is on Patreon! You can support us directly by signing up at http://www.patreon.com/crashcourse

Thanks to the following patrons for their generous monthly contributions that help keep Crash Course free for everyone forever:
Dave Freeman, Hasan Jamal, DL Singfield, Lisa Owen, Jeremy Mysliwiec, Amelia Ryczek, Ken Davidian, Stephen Akuffo, Toni Miles, Erin Switzer, Steve Segreto, Michael M. Varughese, Kyle & Katherine Callahan, Laurel Stevens, Vincent, Michael Wang, Stacey Gillespie (Stacey J), Alexis B, Burt Humburg, Aziz Y, Shanta, DAVID MORTON HUDSON, Perry Joyce, Scott Harrison, Mark & Susan Billian, Junrong Eric Zhu, Rachel Creager, Breanna Bosso, Matt Curls, Tim Kwist, Jonathan Zbikowski, Jennifer Killen, Sarah & Nathan Catchings, team dorsey, Trevin Beattie, Divonne Holmes à Court, Eric Koslow, Jennifer, Dineen, Indika Siriwardena, Khaled El Shalakany, Jason Rostoker, Shawn Arnold, Siobhán, Ken Penttinen, Nathan Taylor, Les Aker, ClareG, Rizwan Kassim, Alex Hackman, Jirat, Katie Dean, Avi Yashchin, NileMatotle, Wai Jack Sin, Ian Dundore, Justin, Mark, Caleb Weeks
__

Want to find Crash Course elsewhere on the internet?
Facebook - http://www.facebook.com/YouTubeCrashC...
Twitter - http://www.twitter.com/TheCrashCourse
Tumblr - http://thecrashcourse.tumblr.com
Support Crash Course on Patreon: http://patreon.com/crashcourse

CC Kids: http://www.youtube.com/crashcoursekids"

#CrashCourse #HowtoCollege #StudyHall
***

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. In this video we look at the use of trigonometry with right triangles, solving for both sides and angles.

To support tecmath on Patreon: https://www.patreon.com/tecmath

BTW for those interested - the history of trigonometry history is fascinating!
The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
The use of trigonometry really took off due to it's use in navigation - trigonometry has been used for locating latitudes and longitudes of sailing vessels, plotting courses, and calculating distances during navigation.
Trigonometry is still used in navigation through such means as the Global Positioning System and artificial intelligence for autonomous vehicles.

But the truly cool trigonomic endevour was The Great Trigonomical Survey.
The Great Trigonometrical Survey was a project which aimed to measure the entire Indian subcontinent with scientific precision. It was begun in 1802 and completed of it in 1871.
Among the many accomplishments of the survey was measurement of the height of the Himalayan giants: Everest, K2, and Kanchenjunga. The Survey had an enormous scientific impact as well, being responsible for one of the first accurate measurements of a section of an arc of longitude.
Triangulation surveys were based on a few carefully measured baselines and a series of angles. The initial baseline was measured with great care, since the accuracy of the subsequent survey was critically dependent upon it. Various corrections were applied, principally temperature. An especially accurate folding chain was used, laid on horizontal tables, all shaded from the sun and with a constant tension. The early surveys made use of large and bulky theodolites made by William Carey, a Zenith sector made by Jesse Ramsden and 100-foot (30 m) chains!
Interesting aside - Everest was one of the leaders of the survey - and his name was pronounced Eve-rest not Ever-est! To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU
To support tecmath on Patreon: https://www.patreon.com/tecmath
To buy tecmath mechandise: https://teespring.com/stores/tecmath-store