Domain and Range of a Relation

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Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!

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.

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Fourier Series introduction

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https://www.khanacademy.org/el....a/cc-2nd-reading-voc

Let's talk about how poems work! Poetry is a special kind of writing—if ordinary writing is like talking, then poetry is like singing. This video will describe the parts of poems, and how to think about them.

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Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability/e/hypothesis-testing-with-simulations?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics

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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

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

Basic idea and definitions of random variables

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https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/e/constructing-probability-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics

Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/v/discrete-and-continuous-random-variables?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics

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https://www.khanacademy.org/math/probability/descriptive-statistics/old-stats-videos/v/statistics-sample-variance?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
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Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/e/trigonometric-functions-and-side-ratios-in-right-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

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Missed the previous lesson?
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Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials!

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

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At Khan Academy Kids, we’re delighted when families share how their child “took off with reading” after using our books, surprised them as their counting improved, and used skills like deep breathing to relax and refresh! Help us continue creating content for learners ages 2 to 8 by giving today, even $5 makes a difference! As a nonprofit organization, gifts from people like you keep us going.

The word "if" is spelled i-f. "If" means in the event that. If it rains, Sandy will use an umbrella!

Learn the sight word "if" with the Khan Academy Kids characters. The fun example, easy-to-remember definition, and cute illustrations will help kids remember the word any time they come across it.

Visit us at http://www.khankids.org to learn more about Khan Academy Kids, a free educational app for preschool through 2nd grade.

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Can you think of some things that are brown? How about a horse and a stool! Learn all about colors with Sandy the Dingo from Khan Academy Kids.

Visit us at http://www.khankids.org to learn more about Khan Academy Kids, a free educational app for preschool through 2nd grade.

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To celebrate National Reading Month, Olympic champion and founder of Always Dream, Kristi Yamaguchi, joined Khan Academy Kids Founder, Caroline Hu Flexer on @khanacademy Ed Talks. They talked about ways we can get our kids excited about reading and share tips for young kids ages 2-8. Enjoy this recording of their live chat!

Khan Academy Kids is an award-winning educational app for young learners ages two to eight. The app engages kids in core subjects like early literacy, reading, writing, language, and math, while encouraging creativity and building social-emotional skills.

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The word "by" is spelled b-y. "By" means close to or next to. There is a tree by the pool!

Learn the sight word "by" with the Khan Academy Kids characters. The fun example, easy-to-remember definition, and cute illustrations will help kids remember the word any time they come across it.

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

You can also access other sight words videos on our Sight Words playlist here: http://khan.co/KhanKids-SightWords.

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Learn how to stay healthy with Caroline and Sophie from Khan Academy Kids. Join a festive appearance with Caitie from Super Simple Songs as she sings “This is the Way” with tips to wash hands, brush teeth, and stay clean! Our special guests, Teacher Crystal and daughter Nev, will be joining us with their show and tell for hand washing. Then, we’ll read “Gum on the Rug” by Katherine Rawson to hear how Kodi and friends find a fun way to clean up. While reading, learn words with the short “u” sounds, like gum, tub, and rug.

Do you have a special way of washing your hands? We’d love to hear about it! Submit your story, picture, or video, here: http://khan.co/KhanKids-SubmitYourArt.

Plus, check out more printable activities for hands-on fun!
http://khan.co/KhanKids-Printables.

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

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Today’s Circle Time with Khan Academy Kids features two books about caterpillars, butterflies, and amazing transformations in nature. Start with “Just You Wait” by Cynthia Platt, which is the story of a caterpillar who patiently believed in herself. Then, explore real-life butterflies in the non-fiction "Butterflies" book by Bellwether Media. Watch as Caroline colors a butterfly, and join Sophie as she flaps her wings to fly!

After the show, kids can head outside on scavenger hunt with our nature walk printable. What will they find? http://khan.co/KhanKids-Print-April9.

Take a photo or video of your nature walk, and show us the things you found on your scavenger hunt. Send your discoveries to our team at http://khan.co/KhanKids-SubmitYourArt.

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

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A circle has one line that goes all the way around! Learn about circles with Sandy the Dingo from Khan Academy Kids.

Visit us at http://www.khankids.org to learn more about Khan Academy Kids, a free educational app for preschool through 2nd grade.

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A rectangle has four sides and four corners! Learn about rectangles with Sandy the Dingo from Khan Academy Kids.

Visit us at http://www.khankids.org to learn more about Khan Academy Kids, a free educational app for preschool through 2nd grade.

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Join our special guest Caitie from Super Simple Songs in an extra special Circle Time! Today we’ll start by singing the Hello song, and then Caroline and Sophie will read the book “Ollo’s Toy House” by Cynthia Platt. Learn new words from the book like floors, flat, and frame. Think about building your own toy house. What would it look like? How would you build it? Caroline has some ideas!

Try making a toy house or fort at home. Tell us about it! Send us a photo or video so we can see and share what kids create! Submit your artwork to http://khan.co/KhanKids-SubmitYourArt.

Check out our printable activities for hands-on fun!
http://khan.co/KhanKids-Printables

Download Khan Academy Kids, our free educational app for children ages 2-7, on Apple, Google Play, and Amazon app stores:


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Learn the letter K with Ollo the Elephant from Khan Academy Kids!

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 Google Play, Apple, and Amazon app stores:
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Learn the letter J with Ollo the Elephant from Khan Academy Kids!

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

You can also access other letters of the alphabet on our Letters and Letter Sounds playlist here: http://khan.co/KhanKids-Letters

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