Approximating solutions with graphing calculator ... https://www.youtube.com/watch?v=C5D5NVUK6NE Note: All Khan Academy content is available for free at (www.khanacademy.org)
Use standardized scoresÑalso called z-scoresÑ to compare data points from different distributions.
View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/measuring-position/v/comparing-with-z-scores?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics
AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics.
Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today!
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https://www.youtube.com/watch?v=_rtQGAX5wsQ
Note: All Khan Academy content is available for free at (www.khanacademy.org)
These relationships are better understood at the microscopic scale, at which all of the different manifestations of energy can be modeled as a combination of energy associated with the motion of particles and energy associated with the configuration (relative position of the particles). In some cases the relative position energy can be thought of as stored in fields (which mediate interactions between particles). This last concept includes radiation, a phenomenon in which energy stored in fields moves across space.
Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help!
Donate or volunteer today! Donate here: https://www.khanacademy.org/donate
Volunteer here: https://www.khanacademy.org/contribute
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https://www.youtube.com/watch?v=VeueBB5Abt4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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
Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/example-relating-trig-function-to-side-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry
Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/showing-relationship-between-cosine-and-sine-of-complements?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry
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!
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https://www.youtube.com/watch?v=TugWqiUjOU4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Review of composite functions and how to recognize them. This is a valuable skill when approaching the Chain Rule in calculus.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/e/identify-composite-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/differentiating-composite-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/chain-rule-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
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https://www.youtube.com/watch?v=MT1-bqKpal8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Long run and short run Phillips curves
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https://www.youtube.com/watch?v=eN20tOlnyb8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Walk through the solution to a question on the effect of tariffs from the 2012 AP(R) Microeconomics exam.
AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality.
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
https://www.youtube.com/subscription_center?add_user=khanacademy
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https://www.youtube.com/watch?v=Qq5-909rWgw
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Lindsay finds a pattern from multiplying 1-digit numbers by multiples of 10, 100, and 1000.
Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-10s-100s-1000s/e/multiply-1-digit-number-by-multiple-of-10-100-1000
Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/v/more-ways-to-think-about-multiplying
Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/v/understanding-place-value-1-exercise
4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.)
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https://www.youtube.com/watch?v=tHQOAvbyRL0
Note: All Khan Academy content is available for free at (www.khanacademy.org)
The long-run average total cost curve describes how average costs vary when all inputs can be adjusted. It envelopes all of the possible short-run average total cost curves.
AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality.
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
https://www.youtube.com/subscription_center?add_user=khanacademy
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https://www.youtube.com/watch?v=aKpnaKROoYA
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Using graph paper we'll map out an area model to help us with a multiplication problem.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/area-models-multiplication/e/multiplying-2-digit-numbers-with-area-models?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic
Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic
Missed the previous lesson?
https://www.khanacademy.org/math/arithmetic/multiplication-division/area-models-multiplication/v/understanding-multiplication-through-area-models?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic
Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started?
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https://www.youtube.com/watch?v=vbGwcvXgDlg
Note: All Khan Academy content is available for free at (www.khanacademy.org)