Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
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. ... https://www.youtube.com/watch?v=vr0sTKbV7lI
Understand how a scale drawing is converted into real numbers using the scale factor.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/e/interpreting-scale-drawings?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade
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https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-two-step-inequalities/v/writing-and-using-inequalities-3?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=byjmR7JBXKc
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Estimating decimal multiplication
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https://www.youtube.com/watch?v=1serq4kmeZc
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Problems 18-19 on page 738
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https://www.youtube.com/watch?v=0CIn1_M-BoY
Note: All Khan Academy content is available for free at (www.khanacademy.org)
How do you find an equivalent fraction? If you know the denominator of both fractions, and the numerator of one of them...you can figure out the rest We'll show you in this word problem.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/e/visualizing-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/v/equivalent-fraction-word-problem-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
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https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/v/equivalent-fraction-word-problem-example?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=i-sAB-Z2_bE
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Multiplying really big or really small numbers is much easier when using scientific notation. This video gives an example of multiplying three numbers that are written in scientific notation.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/e/multiplying_and_dividing_scientific_notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/scientific-notation-3-new?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
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https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/v/orders-of-magnitude-exercise-example-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=67jn5Zv-myg
Note: All Khan Academy content is available for free at (www.khanacademy.org)
143-147, pgs. 171-172. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-29?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT
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GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)
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=4r6QHJzu8YQ
The old saying is "practice makes perfect." Let's keep practicing dividing decimals and making our divisor a whole number.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/e/dividing_decimals_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-fractions-to-decimals-ex1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-decimals?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=S0uuK7SQcA8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Expressing a vector as the scaled sum of unit vectors. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/unit-vector-notation-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics
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Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
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=FaF3v-ezbSk
Note: All Khan Academy content is available for free at (www.khanacademy.org)