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MIT grad shows how to use the elimination method to solve a system of linear equations (aka. simultaneous equations). To skip ahead: 1) For a BASIC example where terms cancel right away when you add the equations, skip to 0:25. 2) For an example in which you have to MULTIPLY ONE EQUATION by a number before adding the equations, skip to time 6:26. 3) For an example in which you have to MULTIPLY BOTH EQUATIONS by numbers before adding, skip to 12:12. P.S.) For HOW TO SUBTRACT equations instead of adding them, if you'd rather do that, skip to 18:00. Nancy formerly of MathBFF explains the steps.
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For how to solve a system of linear equations by the SUBSTITUTION METHOD, jump to: https://youtu.be/YriMMWbndn0
What does it mean to solve a system of equations using the elimination method? It means to solve for the x and y values that make both equations true, using the elimination method. Elimination is just one way of solving (substitution is another way) and is sometimes called linear combination. Here's how:
1) BASIC ELIMINATION: First, make sure the equations are ordered in the same way, with their like terms lined up vertically. Then, try adding the equations (vertically) to make a new equation. If a term in the first equation has the same number coefficient but opposite sign (like 5y and -5y), then adding the equations will mean that those terms cancel. Since those terms disappear (in the example, 5y and -5y), there is just the variable x left in the equation so you can solve for x. Once you solve for x, you can take that number and plug it in for x in either of the original equations in the system, to solve for the other variable, y. The (x,y) pair is your solution.
2) MULTIPLY ONE EQUATION BEFORE ADDING: Sometimes terms don't immediately cancel when you add the two equations. What do you do then? Try multiplying one of the equations by a number (both the left and right sides) to make either the x terms or y terms have similar coefficients (but opposite sign), like positive 4x and negative 4x. Then add the two equations (the new version) and follow the same steps as in the first example.
3) MULTIPLY BOTH EQUATIONS BEFORE ADDING: If it does not help to just multiply one equation by a number, you may need to multiply both equations, separately, by numbers. If you check to see whether you can just multiply one equation by a number and add opposite terms/eliminate a variable, and it is not possible, then aim for an LCM, or least common multiple, by multiplying each equation by a different number, and then adding the equations.
P.S.) YES, YOU CAN SUBTRACT INSTEAD (if you want): If you have a system that has the exact same x terms or exact same y terms in both equations, if you prefer, you can just subtract the equations. Alternatively, if you still wanted to add the equations, you could just multiply one of the equations by -1 first and then add the equations and solve normally.
IMPORTANT: If you get something like 0 = 0 or 8 = 8, or something like 1 = 2 or 0 = 21 when you are following these steps and trying to solve, then you have probably found a special case. If you get something TRUE like 0 = 0 (a number equals the same number), then there are an infinite number of solutions to the system, and you can just write "infinitely-many solutions". If instead you get something FALSE like 0 = 21, then there is no solution (inconsistent system), and you can write "no solution".
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Examing the new standards.
Understanding Performance Towards Proficiency Levels.
Examing the Modes of COmmunication.
Examing the Cultural COmpetencies.
#rounding #placevalue #mathhelpvideos #homeschool
In this video, I will show you how to round decimals to the nearest hundredth. First, you need to identify the hundredth place value which is 2 to the right of the decimal. Next, look at the number next to the hundredth place on the right. If that number is 5 or greater, then you round up the hundredth place to the next digit. If it is 4 or less, you round down (which means keep it the same).
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In this live and interactive conversation with English language teachers from around the world, we explore how to get the best out of artificial intelligence with effective prompts.
We're joined by Mary Rose Banaag who is a business English teacher from the Philippines with more than 15 years in training and development. She focuses on tailored training programmes in English communication skills for B2B and B2C clients. She is also a certified TOEFL trainer.
#TeachingEnglish #ELTtech #ELTplanning #AIinELT
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Lesson planning is broken down into twelve different components that all school administrators, and state quality assurance for school will require. Most of these components you will already have in your lesson plans. Some of the categories that are required for teachers to have in their lesson plans begin with having a title and date for all of the lesson plans that are being submitted. Other required components for a teacher's lesson are including differentiated instruction for students with disabilities, and ell students. it also should include technology standards, state standards and cross-curriculum standards when they apply to the lesson. This video is part of a teachings in education playlist designed to help educators answer some of the many questions that teachers have throughout the school year. Other videos include teacher interview questions, blooms taxonomy, formative assessment, positive behavior intervention and supports, school climate and school culture, special education background knowledge, and many more. Teachers looking to add a little bit more to their classroom lesson planning can find a lot and really improve their practice through these videos. Remember, lesson planning is one of the most important components of teachings, yet many teachers don't put enough time into planning their lessons.
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Students learn about the importance of creating and testing prototypes during the engineering design process. They start by building prototypes, which is a special type of model used to test new design ideas. Students gain experience using a variety of simple building materials, such as foam core board, balsa wood, cardstock and hot glue. They present their prototypes to the class for user testing and in the following activity create prototype iterations based on feedback. (Note: Conduct this activity in the context of a design project that students are working on; this activity reflects Step 5 and Step 6 in a series of seven steps that guide students through the engineering design loop.)
This engineering curriculum aligns to Next Generation Science Standards (NGSS).
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The Calamead Dragon is a children's story about respecting others and learning to work together. Throughout the story they can learn about mythical creatures such as elves, dwarfs and pixies.
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https://www.patreon.com/homeschoolpop Learn all about the articles in this fun language arts video for kids! You'll learn all about a, an, the; and how to tell if an article is definite or indefinite!
00:00 Introduction to the articles
0:28 What are the articles?
0:54 "a"
3:37 "an"
6:20 "the"
8:35 Article review
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It is easy to convert work out the perimeter of a circle - using pi, radius and diameter.
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The vowel i can make a short /ฤญ/ sound or a long /ฤซ/ sound. Learn about the vowel i with Reya the Red Panda 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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Practice this lesson yourself on KhanAcademy.org right now:
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Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/pascals-triangle-binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
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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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WEBSITE: http://www.teachertube.com Evaluating Trigonometric Expressions
Proving that vertical angles are equal
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/congruent_angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/angles-formed-by-parallel-lines-and-transversals?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
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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.
For free. For everyone. Forever. #YouCanLearnAnything
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