Multiplying expressions with area models
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https://www.youtube.com/watch?v=wznE1wlmhR0
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Conditions for roughly normal sampling distribution of sample proportions.
View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/v/normal-conditions-for-sampling-distributions-of-sample-proportions?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.
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https://www.youtube.com/watch?v=L7AX2RcbqCg
Note: All Khan Academy content is available for free at (www.khanacademy.org)
An example using the least squares solution to an unsolvable system
Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-another-least-squares-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-least-squares-approximation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.
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=8mAZYv5wIcE
Note: All Khan Academy content is available for free at (www.khanacademy.org)
From Lincoln's election to the formation of the Confederacy and Fort Sumter.
Watch the next lesson: https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/strategy-of-the-civil-war?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory
Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/increasing-political-battles-over-slavery-in-mid-1800s?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory
US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years.
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=Dl0RRDiG6O8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Dividing a decimal by a whole number example
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https://www.youtube.com/watch?v=bIRwzhhBzEU
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)
More free lessons at: http://www.khanacademy.org/video?v=3JG3qn7-Sac
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https://www.youtube.com/watch?v=3JG3qn7-Sac
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/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/e/addition-and-subtraction-word-problems-within-100--level-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath
Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/using-crayons?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath
Missed the previous lesson?
https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/fence-posts-for-horses?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath
Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way!
Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath
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https://www.youtube.com/watch?v=wyWy4PouQxQ
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Sometimes the product of multiplying fractions and whole numbers is a mixed number. Mixed up? You won't be for long!
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/e/multiplying_mixed_numbers_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/v/multiplying-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-subtracting-mixed-numbers-1-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off!
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https://www.youtube.com/watch?v=p729tFmpOXg
Note: All Khan Academy content is available for free at (www.khanacademy.org)