By convention, we define positive current to flow in the direction a positive charge would move. Electrons (with their negative charge) move in the opposite direction of the positive current arrow.
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https://www.youtube.com/watch?v=17EhKw2tsu4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
See if you can find the incremental volume of a ring in cubic inches. You'll need to put to use your knowledge of how to measure volume.
Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-volume-surface-area/v/solid-geometry-volume?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade
Missed the previous lesson?
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/v/radius-change-impact?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade
Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.)
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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https://www.youtube.com/watch?v=ViFLPsLTO1k
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Here we find the average value of x^2+1 on the interval between 0 and 3.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/e/average-value-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/v/mean-value-theorem-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/v/average-function-value-closed-interval?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=0rzL08BHr5c
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/mixture-problems-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Missed the previous lesson?
https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/2003-aime-ii-problem-1?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
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https://www.youtube.com/watch?v=rUT0pa87m7E
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Model the probability of a frozen yogurt line having 0, 1, or 2 people in it.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/e/probability-models?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/compound-sample-spaces?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade
Missed the previous lesson?
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/making-predictions-with-probability?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade
Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (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=BIpsQIJUCC8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Learn how to graph two-variable linear inequalities.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-linear-inequalities/e/graphs_of_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Watch the next lesson: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphing-linear-inequalities-in-two-variables-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Missed the previous lesson?
https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/checking-solutions-of-inequalities/v/testing-solutions-for-a-system-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.youtube.com/watch?v=unSBFwK881s
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Example solving a system of equations with a quadratic
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https://www.youtube.com/watch?v=Cy1Pxz_wLfA
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Finding the formula for the area of an equilateral triangle with side s
Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/area-of-shaded-region-made-from-equilateral-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Missed the previous lesson?
https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/area-of-diagonal-generated-triangles-of-rectangle-are-equal?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
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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https://www.youtube.com/watch?v=UKQ65tiIQ6o
Note: All Khan Academy content is available for free at (www.khanacademy.org)