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Click this link to buy bible https://invol.co/cl14yim Objective: Find the Greatest Common Factor (GCF) of sets of numbers
This video is compatible with Interactive Whiteboard
Download my Math Interactive Whiteboard Lessons and flash games here: http://iwb-resources.blogspot.com

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!

Miss Spider's Abc Book
by David Kirk
Read by Let's Read Stories

Pictured in brightly colored illustrations, the spindly, happy-go-lucky spinster from the best-seller, Miss Spider's New Car, prepares for her birthday party with a dash of magic and a large helping of the ABC's.

Kid book read aloud can help your child learn their abcs. English sight words read together can help develop literacy and reading skills. This Miss Spider ABC book is perfect for bedtime or learning. Thanks for listening and reading with us today!

Click here to purchase Miss Spider's Abc Book : https://www.amazon.com/Miss-Sp....iders-Book-David-Kir

Learn more counting, addition, and subtraction lessons in the FREE Khan Academy Kids app! https://go.learn.khanacademy.o....rg/khanacademy/YouTu

Counting is fun with Peck from Khan Academy Kids. Watch as Ollo and Kodi use their toy dinosaurs to count to the number five.

Visit us at http://www.khankids.org to learn more about Khan Academy Kids, a free educational app for preschool through 2nd grade available on Apple, Google Play, and Amazon app stores.

You can also access other videos on our Addition and Subtraction playlist here: http://khan.co/KhanKids-AdditionSubtraction

Subscribe to our channel for more videos like this.

Questions? Reach our team at khankids@khanacademy.org.

This statistics video tutorial provides a basic introduction into standard normal distributions. It explains how to find the Z-score given a value of x as well as the mean and standard deviation. It explains how to determine the probability by finding the area under the curve represented by f(x) - the probability density function using the empirical rule and the Z-tables. This video contains plenty of examples and practice problems.

Here is a list of topics:
0:00 - Introduction into standard normal distributions
6:55 - How To Find The Z-scores Given x
8:37 - How To Calculate x Given The Z Score
10:33 - Calculating Probability Using The Empirical Rule
20:24 - How To Use Z-Scores To Determine The Area Under The Curve
22:44 - How To Use Standard Normal Distribution Z-Tables
24:31 - How To Solve Probability Problems Using Z-Tables
34:15 - How To Find The 90th Percentile
42:43 - How To Calculate The Mean and Standard Deviation of a Random Sample


Introduction to Probability:
https://www.youtube.com/watch?v=SkidyDQuupA

Probability Formulas:
https://www.youtube.com/watch?v=bddckR734aM

Probability Explained:
https://www.youtube.com/watch?v=UORztmWGY6Q

Probability With Geometry:
https://www.youtube.com/watch?v=DeH5aHWxEaI

Probability of Complementary Events:
https://www.youtube.com/watch?v=0T-CaQCiSf4

Conditional Probability:
https://www.youtube.com/watch?v=sqDVrXq_eh0

__________________________________
Independent and Dependent Events:
https://www.youtube.com/watch?v=lWAdPyvm400

Probability of Mutual Exclusive Events:
https://www.youtube.com/watch?v=X6usGgwXFyU

Multiplication and Addition Rule:
https://www.youtube.com/watch?v=94AmzeR9n2w

Compound Probability:
https://www.youtube.com/watch?v=EHU6pVSczb4

Expected Value:
https://www.youtube.com/watch?v=b6VK2VPMXNI

Probability Tree Diagrams:
https://www.youtube.com/watch?v=w4wKXVwtGac

___________________________________
Bayes Theorem:
https://www.youtube.com/watch?v=OByl4RJxnKA

Probability - Binomial Distribution:
https://www.youtube.com/watch?v=3PWKQiLK41M

Probability - Geometric Distribution:
https://www.youtube.com/watch?v=d5iAWPnrH6w

Probability - Poisson Distribution:
https://www.youtube.com/watch?v=m0o-585xwW0

Continuous Probability Distributions:
https://www.youtube.com/watch?v=QxqxdQ_g2uw

Probability Density Functions:
https://www.youtube.com/watch?v=3xAIWiTJCvE

__________________________________
Probability - Uniform Distributions:
https://www.youtube.com/watch?v=KfunVw-0AH0

Probability - Exponential Distributions:
https://www.youtube.com/watch?v=J3KSjZFVbis

Probability - Normal Distributions (Calculus):
https://www.youtube.com/watch?v=gHBL5Zau3NE

Probability - Standard Normal Distributions:
https://www.youtube.com/watch?v=CjF_yQ2N638

Probability - The Law of Large Numbers:
https://www.youtube.com/watch?v=ihTpK6dXSas

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

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

Teaching phonics for kids is easier with these instructional and fun videos from Kids Academy. Join the phonics superhero, Chris the Word Whiz, and learn more advanced phonics skills.

Join Chris and learn about word parts for kids. The word whiz carefully explains to students that if a word is divided into syllables, the words are easier to decode and read. Each syllable in a word has a vowel sound and the video explains the difference between words with open and closed syllables. Chris demonstrates a cool way to find out the number of syllables in a word by placing your hand under your chin. Say the word. Count how many times your chin moves down.

In another video, students learn about words with silent letters. Chris explains that some words don’t follow the phonics rules. Examples of these words include: knight, honest, climb and wrap. The word whiz superhero reads many examples of words with silent letters and quickly throws the words into “word jail” for not following the rules! Chris asks students to read words on their own as well.

Comprehending new words is easier if students know about prefixes. In the video about prefixes for kids, students learn about the common prefixes: re, un, bi, and dis. Children learn what each prefix means and how adding a prefix to a word changes the meaning of the word.
In addition to prefixes, the videos teach suffixes for Grade 2 students. Chris the Word Whiz, explains that suffixes are words parts added to the end of a word. Kids learn the common suffixes ful, less, ly, able. Our superhero explains what each suffix means and what the meanings of words are that have these suffixes. The videos include instruction on how adding suffixes sometimes change a verb to a noun and that you can add a prefix and a suffix to a word.

Letters for kids isn’t just about learning the names of letters in the alphabet. Silent letters, prefixes, suffixes, and syllables are challenging phonics skills. Clear up confusion on these concepts with exciting videos and Chris the Word Whiz!

Connect with us on :

Facebook: https://www.facebook.com/KidsAcademyC...
Twitter: https://twitter.com/KidsAcademyCo

Install for free our Kids Academy Talented and Gifted Program for kids aged 2-10:
App Store: https://smart.link/59833db06a6b8
Google Play: https://smart.link/5a1bea3272481

Our website: https://www.kidsacademy.mobi/

Channel Introduction for Complete K12 Essentials an online public and homeschool - lessons, tests, quizzes and a Safe Learning Place. Mr. Pencil hosts your public and homeschool classroom learning lessons. ___ Support our school at https://bmc.link/completek12essentials ___


_____ Welcome to the Complete K12 Essentials Youtube channel! ____
_____ Please “LIKE” and “SUBSCRIBE” to this channel.______
https://youtube.com/channel/UC...._XYRUNkxt9636TWXdgJ9

____
NEW : We have introduced interactive worksheets, puzzles, and quizzes on www.CompleteK12Essentials.com We have quick links to seamlessly move from our website to our Youtube channel. Additional videos in this series will follow, so be sure to subscribe to our channel and tell a friend. If you have comments or suggestions on future videos please visit our channel link above. ____

Note: Once learned, these vocabulary words are yours forever. Be sure to make an effort to use them often in your school work, presentations, and everyday life. An expanded vocabulary will separate you from the average person, especially at the interview for a job.

_________________ABOUT_____________________
Complete K12 essentials Youtube channel and Complete K12 Essentials.com was created to offer parents and teachers an online augmentation or alternative when public schools are not available. The need for standard curriculum that can be delivered via the internet became obvious during the pandemic of 2020.

The challenge was to give each child a method to connect with teachers and class mates to simulate a natural learning environment. Although we are still building our library of video lessons, you can use our videos to create lesson plans, review standardized material, introduce building blocks and drills, as well as assigning tests and quizzes on limited videos, such as vocabulary. We are building videos that will serve all students from kindergarten through the 12th grade.

Our goal is to provide videos that will serve as a resource for those teaching or those looking to cover important standardized curriculum. We believe that access to a solid foundation of knowledge should be available to everyone who chooses to seek it. Many offerings online lean on animation to capture a child’s attention, which to a certain extent works, but they lose interest rapidly and the opportunities for learning are significantly reduced. This is especially true when the child has no obligation to retain the material or accountability to a teacher. Navigating through the material suitable for each grade level is a difficult task at best, so we have created the “SAFE LEARNING PLACE” logo and apply it to all of our videos to show you our dedication to providing good learning material that can be trusted across our whole channel. The curriculum will cover Math, Language Arts, Social Studies, Science, Technology, Music, Art, Health and Fitness, Foreign Languages, Life Skills, Career training, History and Law.

Peppa Pig and the Backyard Circus - Children's Stories Read Aloud - Peppa Pig Books for Kids

Click here to purchase :https://www.amazon.com/Peppa-B....ackyard-Circus-Candl

Step right up to Peppa’s circus — just the ticket for little fans!

Grandpa Pig is busy setting up a big tent in the backyard for Granny Pig’s garden party, but Peppa thinks it looks more like a circus tent. What could be better than to put on a circus show during the party? Danny Dog can be the strong man, Suzy Sheep the juggler, and George can wow the crowd as one of the cyclists. And it’s Peppa’s job to make sure the amazing feats go according to plan — she’s the ringmaster, of course!

Count 1 to 20 with the Numberblocks in this fun filled video!
Numberblocks COMPILATIONS Playlist: https://youtube.com/playlist?l....ist=PL9swKX1PviEqjP8

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Numberblocks CHRISTMAS Playlist:
https://youtube.com/playlist?l....ist=PL9swKX1PviErxtv

Numberblocks Season 5 Playlist:
https://youtube.com/playlist?l....ist=PL9swKX1PviEph7h

Numberblocks Play-Doh Playlist:
https://youtube.com/playlist?l....ist=PL9swKX1PviEr2p9

Numberblocks Back To School Playlist:
https://youtube.com/playlist?l....ist=PL9swKX1PviEqj2z

Numberblocks How To Draw Playlist:
https://youtube.com/playlist?l....ist=PL9swKX1PviEr9W4

Numberblocks Mathlink Cubes Playlist:
https://youtube.com/playlist?l....ist=PL9swKX1PviErQum

Meet The Numberblocks! Playlist:
https://youtube.com/playlist?l....ist=PL9swKX1PviEpG8t


Subscribe for more Numberblocks: https://goo.gl/rF32S8

---

Welcome to Numberland!

BAFTA award-winning Numberblocks helps children to see how numbers really work − and master a new key maths skill with every adventure. It’s a story of friends who can always count on each other − but, most of all, Numberblocks is about having fun with numbers.

Each episode has been carefully crafted with the help of the NCETM (National Centre for Excellence in the Teaching of Mathematics) and brought to life by Blue Zoo Animation Studio.
We work closely with the NCETM to make sure Numberblocks delivers the essential numeracy skills that build good number sense and a solid foundation for a lifetime of maths success.
‍
Get ready for an animated adventure and some number magic that you can count on to help your child learn maths in the most exciting way.
1, 2, 3 − Let’s go!

Numberblocks has been nominated for the prestigious BAFTA, Prix Jeunesse and The Japan Prize Audiovisual Pre-school awards, and received a BAFTA for Children's Preschool Animation in 2019. Numberblocks is also featured among the DfE's recommended resources for home learning and is part of BBC Bitesize Daily.

Where to watch Numberblocks

Numberblocks is designed so your child can just press play and have fun while learning essential number skills. 90 episodes take them from number names and counting to a deep understanding of how addition, subtraction, multiplication and division work, via a host of key concepts in between. You can find your favourite characters and episodes on TV, BBC iPlayer, DVD or the Numberblocks YouTube channels

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What happens when numbers come to life?

Dive into a world of number fun with the hit CBeebies show, Numberblocks. Award-winning characters + big adventures + singalong songs = the best way to get children excited about everything numbers can do!

It's easy when you see it!

Maths is SO much easier when you can see how it works. 90 episodes bring hundreds of essential number skills to life with big visuals and amazing animation, from your first encounter with One to mini-musicals, classic comedy, song-and-dance numbers and a nail-biting escape from the double dungeon of doom!

A comprehensive learning journey

The learning goals behind Numberblocks support maths curricula from around the world, taking young learners step by step through the key topics and skills they need to master for a confident start and a lifelong love of numbers.

Play and learn

Brilliant Numberblocks apps help children take the learning into their own hands.

Get hands-on

Take the learning further with the Numberblocks Maths Programme − three bumper magazines packed with stickers, colouring and step-by-step hands-on learning activities, plus a special set of Numberblocks blocks.

Let's stay in touch!

We love to hear from you − your ideas, questions and your little ones’ fantastic creations. Keep up to date with the latest Numberblocks news by following us @Numberblocks on Facebook, Instagram and Twitter and signing up to the Numberblocks Newsletter. Every Monday we share some of your home and school creations, artwork and bakes on Facebook and Instagram so please send us your photos!

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#Numberblocks #Compilation #LearnToCount #MathForKids #Math #Maths #Numbers #123 #12345 #Kids #KidsVideo #KidsCartoon #PreSchool #1To20

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🎉 NEW Videos: https://www.youtube.com/playli....st?list=PLLF_mZmNqOn
🕵️‍♀️ Amazing Things for Kids: https://www.youtube.com/playli....st?list=PLLF_mZmNqOn

Subscribe to Happy Learning: https://my.happylearning.tv/

🔢🧠 Learn what units, tens, and hundreds are and how numbers are organized based on their position. In this educational video for primary school children, we explain the place value of numbers clearly, visually, and funnily, with examples that help understand how three-digit numbers are formed. ➕💯

In Primary education, the Mathematics area focuses on developing five key senses: the numeric sense, to work with numbers and operations; the measurement sense, to measure and compare magnitudes; the spatial sense, to understand geometric figures and their properties; the algebraic sense, to identify patterns and use symbols; and the stochastic sense, to interpret data and probabilities. Additionally, the socio-affective sense fosters a positive attitude toward mathematics. These contents are taught in a practical and creative way, using digital and manipulative resources to prepare students to solve real problems.


Curiosities for kids:https://www.youtube.com/playli....st?list=PLLF_mZmNqOn


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

Practice reading short stories.
This reading lesson is recommended for grade 1 and up.
#shortstories
#readinglessonforkids
#readinglesson
#teacherayaonlinetutor

You've probably heard the story of Little Red Riding Hood, right? What we learn from that book is that wolves have large ears and eyes, big snouts, and sharp teeth. It's true! Wolves are actually the apex predators of their environments. They are also the ancestors of our domesticated dogs. They can be as long as six feet from nose to tail and weigh between 50 and 100 pounds.

These carnivores travel in groups called packs. The pack members are often family members, but lone wolves will join a pack if they don't have one of their own. Packs range from as small as 2 wolves to as many as 25. They eat mostly large or medium hoofed animals, but they occasionally consume birds, rodents, or even fish if they can't find any bigger prey. And the alpha male and female eat before the rest of the pack.

Wolves have an excellent sense of smell. In fact, it is 100 times stronger than a human's sense of smell. They can detect other animals up to a mile away! Just as humans use much of their brain capacity to process images, wolves use a considerable part of their brains to process smell.

While they are apex predators and are at the top of their food chain, they do have to deal with humans, their only predators. They are becoming more and more endangered due to pollution, industrial growth, and natural disasters. Luckily, they were reintroduced into Yellowstone National Park to breed after not living there due to poisoned water and hunting.

We hope you and your student(s) enjoyed learning about this exciting apex predator! If you want to learn even more, head over to our website and download one of our many lesson plans about animals, full of activities, worksheets, and more!

https://learnbright.org/lessons/science/wolves/
https://learnbright.org/lesson....s/science/reptiles-a

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

#Wolves
#Mammals

Learning Multiplication for Kids I The Fastest Way to Learn Multiplication Facts

Welcome back to Happy Learning, where learning is always an exciting adventure! In this special episode, we will dive into the world of multiplication and discover just how incredibly fun math can be. 🔢✨

Have you ever wondered how superheroes can solve problems quickly? The answer lies in multiplication! In this video, we'll show you how mastering times tables can turn you into a true math superhero. From simple multiplications to cool tricks for memorizing tables, we'll demonstrate that math can be as fun as a game.

Join us as we explore real-life situations where multiplications are useful and exciting. From sharing candies with friends to calculating how long it takes for a rocket to reach the moon, you'll see how math is everywhere and how it can make our lives more interesting and enjoyable.

Get ready for an adventure full of laughter, games, and discoveries as we explore the fascinating world of multiplication at Happy Learning! 🔢🌟 Don't forget to like, subscribe, and share this video with your friends so everyone can enjoy the magic of math together. Let's multiply the fun and learning at Happy Learning! 🎉

#learning #maths #learningvideos #funforkids

Polygons for Kids | Polygons Geometry for Kids | Happy Learning
Kids will have a blast learning all about polygons with this fun and energetic tune. This polygon song for kids teaches all about the triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon and decagon.

"Hello, little math artists! 🎨✨ On Happy Learning, we're going to explore a world full of shapes and colors in our new video about geometric figures. 🔷🔺 Discover with us the secrets of circles, triangles, squares, and much more. 🟣🟠🟢 Did you know that shapes are everywhere, from your room to the park? 🏠🌳 Join us on this exciting adventure where we'll learn about the sides, vertices, and unique characteristics of each figure. 📐✏️ Get ready to have fun while learning with Happy Learning! 🌟📚 #HappyLearning #ExploringShapes #LearningIsFun 🌈🌟"
Discover hundreds of never-before-seen resources! Create your free account at https://my.happylearning.tv/ and start learning in the most entertaining way.

🎉 Welcome to another fun-filled baby learning video with Lucas & Friends! 🌟 Get ready for an exciting adventure as Lucas explores the world with mommy, daddy, and his beloved toys. Let's dive into the magical journey of learning and laughter! It includes kids songs, nursery rhymes, wonderful lessons about baby's first words, learning through playing games, phonics, physical activities and much more. Fun baby learning videos for 1 year old, 2 year old and toddlers to learn, play and have fun with Lucas, Ruby, Lily, Broady & the family.🎶 🚀

🌟 Join Lucas and friends on an educational journey where toddlers and babies learn first words, discover new things through fun baby learning videos, strengthen family bonds, enjoy dance, rhymes and embark on explorations. 🎉 Baby & toddler learning videos (for kids 2, 3 & 4 years old) with Lucas & Friends includes:

00:00 Peek-A-Boo Fun - Lucas and Dad play a captivating game of peek-a-boo, teaching surprise and the joy of discovery for curious babies.

00:26 Baby Talk Daddy 👨 - Through blow kisses, jumps, and loud voices, babies learns to say "daddy" and enjoys playtime activities like a freeze dance fun, dance with twists and tip-toes, perfect for toddlers. Strengthening their bond through laughter and physical activity, important for happy babies.

01:36 Baby Talk Mommy 👩- Lucas and Mommy share some bunny fun! Say hi to bunny as he gives high-fives, rides on Lucas's hands, plants kisses, and even blows on Lucas's tummy. (perfect for toddlers to early social interaction.)

02:42 Feelings and Emotions ⭐ - Find the star and learn to nod your head and say yes! Enjoy peek-a-boo fun and play a classic game of Duck, Duck, Goose. Sing along to the Emotions song and discover where stars live. Baby song about different emotions like happy, sad, afraid, and angry.

05:35 Dance with Mommy 👩 - It's Mommy's turn! Learn the word 'mommy' with blown kisses, claps, and a loud, cheerful voice. Dance with Mom on the Piano carpet, share big hugs, and sing the Mommy song. Funny walk and a cheerful song, bringing laughter and joy to babies.

09:08 Daddy and Peekaboo 🙈 - Daddy and baby play peekaboo and fun games like freeze, run and catch. Join in for baby learning and loving moments with Daddy!

13:55 Happy Song and Jumping Fun 🙂 - Explore feelings with a happy song and lots of jumping! Perfect for kids games and teaching emotions in a fun way.

15:10 Woof Woof Friend Dog 🐕 - Time to learn about dogs! Jump, clap, and say 'dog' loudly. Run with the dog, play with colorful blocks, and practice clapping with enthusiasm. Enjoys running and playing fetch with furry friend, encouraging physical activity for toddlers. learn colors and numbers

18:33 Twinkling Star 🌟 - Baby learns the word "star" with clapping, jumping, and pointing it out, building vocabulary for little learners. Dance along to the classic nursery rhyme "Twinkle Twinkle Little Star".

18:59 Where is the dog? 🐶 - Lucas plays a game of "where is the dog?" promoting focus and object permanence, important cognitive skills for babies.

21:37 Emotions Song 😒 - Sing along with the emotions song featuring a star and moon. A wonderful kids song to help with learning different feelings.

24:32 Play with Teddy 🧸 - Play games, sing the Teddy Bear song, and pretend to sleep like Teddy, encouraging imaginative play for toddlers.

26:20 Freeze Game with Friends ❄️ - Play the freeze game with friends and enjoy playful activities together. A fantastic way for baby learning and kids games with friends!

27:50 Learn First Word Teddy 🧸 - Say hello to Teddy, give hugs, and babies learn about the importance of hugging friends and family.

✔️ Explore baby learning with videos for toddlers and preschoolers! Join Lucas & Friends by RV AppStudios in fun-filled baby learning cartoons that spark curiosity and promote development for kids aged 6 months to 1 year and older. 🚀

⭐ If you find this ultra HD 4K toddler learning video enriching for your child's learning experience, don't hesitate to LIKE and SHARE it with others. SUBSCRIBE to our channel for a rich library of nursery rhymes, children's songs, and educational videos for kids that promotes parent-child bonding and lifelong learning.

🌟 More fun educational videos for toddlers by RV AppStudios:
👧 Baby Learning Videos 2 https://youtu.be/zTbEQe_t8mg
👧 Baby Learning Videos 1 https://youtu.be/b20WNkSadaA
🤹‍♂️ Learn to Talk for Babies https://youtu.be/227XglZPvZw
🤩 Learning Videos For Toddlers https://youtu.be/H-9eydT066s

Copyright © RV AppStudios

#babylearning #babylearningvideos #kidslearning

This video shows you all the basics for using a factor tree to perform prime factorization.

In this video we cover:

What are prime numbers?
What are composite numbers?
How to find the prime factors of composite numbers
How to do prime factorization with the tree or ladder method

Other Videos Mentioned:
Prime and Composite Numbers: https://youtu.be/q_lWyVXoJBQ


For a free printable worksheet and answer sheet, check out my post here:
https://improvedmath.com/how-t....o-perform-prime-fact


Improved math is a channel created to provide additional instruction on essential math concepts. I’m not a math teacher, I’m an accountant. I know firsthand how important math concepts are in the real world.

Teachers, parents, guardians, homeschoolers, and students can use these videos to help reinforce math skills.


#primenumbers
#compositenumbers
#primefactorization
#factortree
#primefactors
#improvedmath
#primefactorizationexamples

For more information on math topics or for free additional resources, you can also visit my website at improvedmath.com

https://www.youtube.com/c/ImprovedMath

https://improvedmath.com

https://www.tiktok.com/@improvedmath1?

https://www.pinterest.com/improvedmath/


Don’t forget to like, share, and subscribe!

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/algebra/x2f8bb115

Imran is 18. Diya is 2. How many years will it take for Imran to be 3 times as old as Diya?

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/e/age_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/v/ex-2-age-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Missed the previous lesson?
https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals/v/coverting-repeating-decimals-to-fractions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

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 Khan Academy’s Algebra channel:
https://www.youtube.com/channe....l/UCYZrCV8PNENpJt36V
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

Least Common Multiple: Basic Method
Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!

A quantum computer in the next decade could crack the encryption our society relies on using Shor's Algorithm. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.

The topic is especially relevant in the wake of Willow, the quantum computing chip unveiled by Google in December 2024.

#quantumcomputing

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A huge thank you to those who helped us understand this complex field and ensure we told this story accurately - Dr. Lorenz Panny, Prof. Serge Fehr, Dr. Dustin Moody, Prof. Benne de Weger, Prof. Tanja Lange, PhD candidate Jelle Vos, Gorjan Alagic, and Jack Hidary.

A huge thanks to those who helped us with the math behind Shor’s algorithm - Prof. David Elkouss, Javier Pagan Lacambra, Marc Serra Peralta, and Daniel Bedialauneta Rodriguez.

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References:
Joseph, D., et al. (2022). Transitioning organizations to post-quantum cryptography. Nature, 605(7909), 237-243. - https://ve42.co/Joseph2022

Bernstein, D. J., & Lange, T. (2017). Post-quantum cryptography. Nature, 549(7671), 188-194. - https://ve42.co/Bernstein2017

An Insight, An Idea with Sundar Pichai - Quantum Computing, Wold Economic Forum via YouTube - https://ve42.co/QCWEFyt

Migrating to Post-Quantum Cryptography, The White House - https://ve42.co/PQCWhiteHouse

Kotas, W. A. (2000). A brief history of cryptography. University of Tennessee - https://ve42.co/Kotas2000

Hellman, M. (1976). New directions in cryptography. IEEE transactions on Information Theory, 22(6), 644-654. - https://ve42.co/Hellman1976

Rivest, R. L., Shamir, A., & Adleman, L. (1978). A method for obtaining digital signatures and public-key cryptosystems. Communications of the ACM, 21(2), 120-126. - https://ve42.co/Rivest1978

Kak, A. (2023). Lecture 12: Public-Key Cryptography and the RSA Algorithm - https://ve42.co/Kak2023

Calderbank, M. (2007). The RSA Cryptosystem: History, Algorithm, Primes. University of Chicago. - https://ve42.co/Calderbank2007

Cryptographic Key Length Recommendation, Keylength - https://ve42.co/KeyLength

Coppersmith, D. (2002). An approximate Fourier transform useful in quantum factoring. arXiv preprint quant-ph/0201067. - https://ve42.co/Coppersmith2002

Quantum Fourier Transform, Qiskit - https://ve42.co/Qiskit

Shor, P. W. (1994, November). Algorithms for quantum computation: discrete logarithms and factoring. In Proceedings 35th annual symposium on foundations of computer science (pp. 124-134). IEEE. - https://ve42.co/Shor1994

Shor’s algorithm, Wikipedia - https://ve42.co/ShorWiki

Euler’s totient function, Wikipedia - https://ve42.co/EulerWiki

Asfaw, A. (2020). Shor’s Algorithm Lecture Series, Qiskit Summer School - https://ve42.co/ShorYT

How Quantum Computers Break Encryption, minutephysics via YouTube - https://ve42.co/PQCmpyt

Breaking RSA Encryption - an Update on the State-of-the-Art, QuintessenceLabs - https://ve42.co/QuintessenceLabs

O'Gorman, J., & Campbell, E. T. (2017). Quantum computation with realistic magic-state factories. Physical Review A, 95(3), 032338. - https://ve42.co/OGorman2017

Gidney, C., & Ekerå, M. (2021). How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits. Quantum, 5, 433. - https://ve42.co/Gidney2021

2021 Quantum Threat Timeline Report, Global Risk Institute - https://ve42.co/QuantumRisk

The IBM Quantum Development Roadmap, IBM - https://ve42.co/IBMQC

Post-Quantum Cryptography, Computer Security Resource Center (NIST) - https://ve42.co/CSRCPQC

Alagic, G., et al. (2022). Status report on the third round of the NIST post-quantum cryptography standardization process. US Department of Commerce, NIST. - https://ve42.co/Alagic2022

Thijs, L. (2015). Lattice cryptography and lattice cryptanalysis - https://ve42.co/Thijs2015

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Tj Steyn, Meg Noah, Bernard McGee, KeyWestr, Elliot Miller, 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, Juan Benet, Ubiquity Ventures, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi.

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Written by Casper Mebius & Derek Muller
Edited by Trenton Oliver
Filmed by Raquel Nuno
Animated by Ivy Tello & Mike Radjabov
Additional video/photos supplied by Getty Images & Pond5
Music from Epidemic Sound & Jonny Hyman
Produced by Derek Muller, Petr Lebedev, & Emily Zhang

TeacherTube User: Touchmath

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