This calculus 2 video tutorial provides a basic introduction into monotonic sequences and bounded sequences. A monotonic sequence is a sequence that is always increasing or decreasing. You can prove that a sequence is always increasing by showing that the next term is greater than the previous term. This video also discusses bounded sequences. A sequence can be bounded above or have an upper bound it it has a maximum value it can reach. If there is a minimum value in the sequence, then it has a lower bound or it's bounded below. A sequence that is bounded above and bounded below is said to be bounded. A monotonic sequence that is bounded is said to be convergent. This video explains how to determine the convergence and divergence of a sequence by determining if its a monotonic sequence and if its a bounded sequence.

Improper Integrals:
https://www.youtube.com/watch?v=ND9cEdfCFr0

Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0

Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0

Absolute Value Theorem - Sequences:
https://www.youtube.com/watch?v=kH5Zqg5j-3M

Squeeze Theorem - Sequences:
https://www.youtube.com/watch?v=21loY9MBK3A

________________________________
Geometric Series & Sequences:
https://www.youtube.com/watch?v=zRKZ0-kOUZM

Introduction to Series - Convergence:
https://www.youtube.com/watch?v=zg9N2gAf6a4

Divergence Test For Series:
https://www.youtube.com/watch?v=nC_IU1IzzS4

Harmonic Series:
https://www.youtube.com/watch?v=OqBZCycIYfw

Telescoping Series:
https://www.youtube.com/watch?v=XVkdhU6nJbo

__________________________________
Integral Test For Divergence:
https://www.youtube.com/watch?v=f9SJz4-UaQQ

Remainder Estimate - Integral Test:
https://www.youtube.com/watch?v=vaU5DDcTfZk

P-Series:
https://www.youtube.com/watch?v=x621rtIwb_4

Direct Comparison Test:
https://www.youtube.com/watch?v=oZtAgihok5s

Limit Comparison Test:
https://www.youtube.com/watch?v=LBxYQ0TJxYM

___________________________________
Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

What is an ocean? What is a lake? What do you call water that flows down a mountain? In this video, you and your kid(s) will learn all about the many bodies of water that cover the earth. You will discover what to call both the largest and smallest water bodies. Over 70% of the earth's surface is made up of water. That means there is more than double the amount of water than there is land!

Some bodies of water are made up of salt water. Others, such as many lakes and streams, contain fresh water. There is a lot more salt water than fresh water, though. Over 95% of water sources are salt water. That's because most of the water on the planet comes from oceans, which are by far the biggest water bodies. Not to mention, the deepest part of the ocean is deeper than the height of Mt. Everest! Scientists believe there are around a million species living in the ocean! While trees convert carbon dioxide to oxygen, did you know about 70% of Earth's oxygen supply actually comes from phytoplankton in the oceans?

You will also learn about reservoirs and lakes. Reservoirs are essentially man-made lakes. People create man-made lakes or reservoirs by damming up a river, holding back a lot of water in one place. The largest freshwater lake in the world is Lake Superior, which is located between Canada and the United States.

Rivers are unique in their own way. Rivers can flow down mountain, through valleys, or across plains. They flow toward either an ocean, a sea, a lake, or another river. They are very useful because they provide food, transportation, power, and a place to bathe! The Amazon and Nile Rivers are the two longest rivers. You will also learn about streams, which are kind of like mini rivers. They also come with a lot of different names, such as bayou, creek, and wash.

We hope you and your student(s) enjoyed learning about these different bodies of water! If you want to learn even more, head over to our website and download one of our many free lesson plans about water, full of activities, worksheets, and more!

https://learnbright.org/lesson....s/science/water-wate
https://learnbright.org/lesson....s/science/the-water-
https://learnbright.org/lesson....s/science/water-poll
https://learnbright.org/lesson....s/science/all-about-
https://learnbright.org/lesson....s/science/lakes-rive

What you will learn in Water Bodies for Kids:
0:00 Introduction to water bodies
0:35 Where water comes from
1:48 Oceans and their characteristics
2:57 Fun fact about phytoplankton
3:40 Lakes and reservoirs and their characteristics
4:49 Rivers and their characteristics
6:17 Streams and their characteristics
7:03 Review of the bodies of water

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This data and statistics video tutorial provides a basic introduction into quartiles, deciles, and percentiles. It explains how to find the quartiles of a data set and how to calculate the deciles and percentiles using a cumulative relative frequency table.

Introduction to Statistics:
https://www.youtube.com/watch?v=XZo4xyJXCak

Arithmetic, Geometric, & Harmonic Mean:
https://www.youtube.com/watch?v=6G6i8vSa8Zs

Simple Frequency Tables:
https://www.youtube.com/watch?v=lyRbCwDDnJo

Relative Frequency Distribution Table:
https://www.youtube.com/watch?v=gq3FPpm2yvA

Cumulative Relative Frequency Table:
https://www.youtube.com/watch?v=6hJGa4Zp62M

_________________________________
Dot Plots and Frequency Tables:
https://www.youtube.com/watch?v=Iu17mY1VfZU

Stem and Leaf Plots:
https://www.youtube.com/watch?v=MUCvUgGfzdo

Side By Side Stem and Leaf Plots:
https://www.youtube.com/watch?v=wkAjnGmRPVo

Histograms:
https://www.youtube.com/watch?v=AndS0RLdxtk

How To Make a Frequency Polygon:
https://www.youtube.com/watch?v=y7Wb9AjbRjo

__________________________________
Quartiles, Deciles, & Percentiles:
https://www.youtube.com/watch?v=40o82o3uNfk

Interquartile Range & Outliers:
https://www.youtube.com/watch?v=STSP8gTSdT8

Skewness & Symmetric Distribution:
https://www.youtube.com/watch?v=U0NZu6f5TMI

Sample Mean and Population Mean:
https://www.youtube.com/watch?v=cmtBUWCC-6A

Mean, Median, & Mode - Grouped Data:
https://www.youtube.com/watch?v=zjHfAhcU6kE

____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Student teams act as engineers and brainstorm, design, create and test their ideas for packaging to protect a raw egg shipped in a 9 x 12-in envelope. They follow the steps of the engineering design process and aim for a successful solution with no breakage, low weight, minimal materials and recycled/reused materials. Students come to understand the multi-faceted engineering considerations associated with the packaging of items to preserve, market and safely transport goods.

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

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

Music: Santo Rico

Do you know what mountains, hills, plateaus, and plains have in common? This video teaches kids all about landforms, particularly these four. Your kids will learn all about the different types and how they form. They will discover many interesting facts. For instance, they will learn about the Himalayas and how they make up the tallest mountain range in the world. Mount Everest is the tallest peak of the Himalayas. It's as tall as 48,000 people standing on each others' shoulders!

Hills are similar to mountains. They aren't as tall, but they form in similar ways. In fact, some mountains, including the Himalayas, started out as hills! Did you know there are two types of plateaus? All plateaus are flat and elevated, and they have steep hills and big cliffs. However, not all plateaus are the same. Dissected plateaus are created from tectonic shifts from the ground up. The Colorado Plateau is one of these. Volcanic plateaus, however, are formed from many small volcanic eruptions that build up over time. Most of the central part of the North Island of New Zealand. You will also learn about plains and how they are unique compared to the other three landforms.

We hope you and your student(s) enjoyed learning about these four different landforms! If you want to learn even more, head over to our website and download one of our many free lesson plans about landforms, full of activities, worksheets, and more!

https://learnbright.org/lessons/science/landforms/

What you will learn in Landforms for Kids:
0:00 Introduction to landforms
0:34 The 4 major types of landforms and what they are made of
1:19 Mountains and how they form
2:15 Hills and how they form
3:02 Intro to how erosion affects landforms
3:26 Plateaus and how they form
4:57 Plains and how they form
6:06 Review of the facts

Check out some of our other landform-related videos here:
Weathering and Erosion: https://youtu.be/QJUs4e2X5Uo
Weathering: https://youtu.be/mQAOe-0vxdc
Rocks: https://youtu.be/xsHPA2GNF9Q

Thank you for watching and learning with us! We’re constantly releasing new content and videos, so click that “Subscribe” button and you’ll get notified.

Find and Follow Us Online:
Facebook: https://www.facebook.com/LearnBright/
Instagram: https://instagram.com/LearnBrightEducation
Pinterest: https://pinterest.com/LearnBrightEducation
YouTube: @LearnBright
Website: https://learnbright.org/

*Teachers and Parents! Did you know? In addition to these great videos, we have also created a library of high quality and engaging lessons for your elementary aged student(s). Visit us, sign up for a free account, and instantly you'll have access to thousands of lesson plans, learning materials, teaching instructions, activities, and assignments that your kids will really enjoy! We hope to see you soon!

Browse our entire collection of Science lesson plans: https://learnbright.org/lessons/?filter_subject=science

#ASL
#LandformsForKids
#Landforms

Figures in History: George Washington (1732-1799)

George Washington was born on 22 February 1732 in Westmoreland County, Virginia, into a family of prosperous farmers.

He began his career as a professional surveyor in 1749 at the age of 17 and was quickly appointed surveyor of Culpeper County, Virginia, his first public office.

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Credit:

Narrator:
Alex Jenks
https://www.youtube.com/ingeniousclownGaming

Direction, script, animation:
Daniel Turner

Music:
Americana - Aspiring by Kevin MacLeod is licensed under a Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/)
Source: http://incompetech.com/music/r....oyalty-free/index.ht
Artist: http://incompetech.com/



Artwork:

Daniel turner

Pictures: Wikimedia Commons (Public Domain)

This episode is Sponsored by Wix! Support the Simple History channel by going to: https://www.wix.com/go/simplehistory

The same invention that would devastate the battlefields of world war one and imprison people in camps would eventually change the 'Wild West'

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Credit:
Created by Daniel Turner

Narrator:

Bryan 'Lazlo' Beauregard

------------------


https://www.thoughtco.com/hist....ory-of-barbed-wire-1

https://www.barbwiremuseum.com/history.htm

http://plainshumanities.unl.ed....u/encyclopedia/doc/e

https://tshaonline.org/handboo....k/online/articles/au

https://www.bbc.co.uk/news/business-40448594

In this lesson we will work on understanding the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For more fun way to learn math visit www.boddlelearning.com.

See more at https://www.underwatermath.com. Underwater Math provides engaging learning solutions for students. This instructional video supports solving one step addition and subtraction problems. Florida Math Standard 2.OA.1, 1a, 2

Given an assortment of unknown metals to identify, student pairs consider what unique intrinsic (aka intensive) metal properties (such as density, viscosity, boiling or melting point) could be tested. For the provided activity materials (copper, aluminum, zinc, iron or brass), density is the only property that can be measured so groups experimentally determine the density of the "mystery" metal objects. They devise an experimental procedure to measure mass and volume in order to calculate density. They calculate average density of all the pieces (also via the graphing method if computer tools area available). Then students analyze their own data compared to class data and perform error analysis. Through this inquiry-based activity, students design their own experiments, thus experiencing scientific investigation and experimentation first hand. A provided PowerPoint® file and information sheet helps to introduce the five metals, including information on their history, properties and uses.

View the full lesson on TeachEngineering:
https://www.teachengineering.o....rg/activities/view/u

TeachEngineering has over 1,900 FREE lessons and activities. Visit https://www.teachengineering.org/ for more

Music: Coupe
By: The Grand Affair

FUN!!! In this social studies learning videos for kids compilation you will learn exciting concepts like producers and consumers, the three types of areas, goods and services, the purpose of government and much more!!

00:00 Producers and consumers
5:38 Urban, suburban and rural areas
15:15 The purpose of government
22:00 Goods and services
26:55 Continents of the world
41:19 Oceans of the world


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Go to https://establishedtitles.com/SH10 and help support the channel. They are now running a massive sale, plus 10% off on any purchase with code SH10. Thanks to Established Titles for sponsoring this video!

After all, there is no time to reinvent the wheel during war. To desperately stay ahead, nations sometimes create whole departments of people to spy, infiltrate, and copy enemy advancements in technology. Perhaps even more absurd, being the first country to make progress in new technology seems to rarely balance the power favorably for long as every other country, enemy and ally alike, are soon sending spies and envoys to get their hands on it.


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Credit:
Created by Daniel Turner (B.A. (Hons) in History, University College London)
Script:
Narrator:

Chris Kane
https://vocalforge.com/

Students are introduced to the similarities and differences in the behaviors of elastic solids and viscous fluids. Several types of fluid behaviors are described—Bingham plastic, Newtonian, shear thinning and shear thickening—along with their respective shear stress vs. rate of shearing strain diagrams. In addition, fluid material properties such as viscosity are introduced, along with the methods that engineers use to determine those physical properties.

View the full lesson on TeachEngineering:
https://www.teachengineering.o....rg/lessons/view/cub_

TeachEngineering has over 1,900 FREE lessons and activities. Visit http://www.TeachEngineering.org for more!

Create your own website today with Wix: https://www.wix.com/go/simplehistory

In the movies we see pirates burying their treasure, but how common was it in real life?


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Credit:
Created by Daniel Turner

Narrator:

Chris Kane
www.vocalforge.com


Music Credit

Celtic Impulse - Celtic by Kevin MacLeod is licensed under a Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/)
Source: http://incompetech.com/music/r....oyalty-free/index.ht
Artist: http://incompetech.com/

Finland has an economy and a population about the fifth the size of Australia's. But its schools consistently outperform ours and most others across the developed world.

Children in Finland don't begin school until the age of seven and they're only in classrooms half the time of their Australian counterparts.

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A compilation of the Second anthology of the Men of Valor series on Simple History.

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Credit:
Created by Daniel Turner (B.A. (Hons) in History, University College London)
Script: Conan White
Narrator:

Chris Kane
https://vocalforge.com/

Music Credit

Get your SPECIAL OFFER for MagellanTV here: https://try.magellantv.com/simplehistory. It's an exclusive offer for our viewers! Start your free trial today. MagellanTV is a new kind of streaming service run by filmmakers with 3,000+ documentaries! Check out our personal recommendation and MagellanTV’s exclusive playlists: https://www.magellantv.com/explore/history

‘The Giant Killer’, as his comrades-in-arms called him, was the smallest man to serve in the military of the United States.
With a height of only 4 feet 9 inches, and weighing just 97Ibs, he wasn’t even supposed to enter the force.
The Army was his life’s dream, though, and he was determined to make it happen contrary to other people’s opinions.


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Credit:
Created by Daniel Turner (B.A. (Hons) in History, University College London)
Script: Dejan Milivojevic
Narrator:

Chris Kane
https://vocalforge.com/

Music Credit:

Clash Defiant Kevin MacLeod (incompetech.com)
Licensed under Creative Commons: By Attribution 3.0 License
http://creativecommons.org/licenses/by/3.0/



Sources:
https://pastebin.com/XXeaN4YJ

How can it be summer in North America and winter in Australia at the same time?!

License: Creative Commons BY-NC-SA
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