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".

For more of my math videos, check out: http://nancypi.com

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Here is a sample lesson pan template at my TPT store https://www.teacherspayteacher....s.com/Product/Lesson

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.

#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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Improved math is a channel created to provide additional instruction on essential math concepts. I’m passionate about math and I know first-hand how important math concepts are in the real world.

Teachers, parents, guardians, homeschoolers, and students can use these videos to help reinforce math skills. These math videos are designed to help teach yourself math or provide self-study math tools to assist when additional instruction is needed. Teaching math and learning math has changed the way many students learn in this virtual environment. Having on-demand math videos can provide math tutoring needed when children are not able to get help from their teachers after school hours or when trying to do math at home.

The library of math tutorials that I create can also be used as supplemental instructional material for homeschool math. Each full-length video comes with a subsequent knowledge check or math practice problems which serve as a virtual math topic worksheet to test your understanding of each skill. These videos can be paused to work out the problems on your own, then unpaused to check your answers. All of these videos can be found under the Knowledge Check playlist.

I also have a library of shorter videos (less than 1 minute in length - shorts) that are quick math tips and tricks on basic math topics. Some of these short math help videos include problems that you can work on yourself and submit your answers in the comments. They are all listed under my Math Tips and Tricks playlist.

Improved math is creating more videos every day to cover topics from 4th grade, 5th grade, 6th grade, and 7th-grade math. The videos focus on fractions, basic math operations, geometry, and ratios but more topics are being added all the time. If there is a specific topic you would like to see covered, drop me a comment in one of my videos and let me know!

Free math help videos will be posted every Thursday and Friday. For additional math resources, check out my math help website at improvedmath.com where I post math worksheets and answers along with additional context on math basics.



Thanks for watching my channel.

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).

View the full activity on TeachEngineering:
https://www.teachengineering.o....rg/activities/view/c

TeachEngineering has over 1,500 FREE lessons and activities. Visit https://www.teachengineering.org/ for more

Music: Limo Ride

Examing the new standards.
Understanding Performance Towards Proficiency Levels.
Examing the Modes of COmmunication.
Examing the Cultural COmpetencies.

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/e/binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII

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?
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/polynomial-end-behavior-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII

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.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Algebra II channel:
https://www.youtube.com/channe....l/UCsCA3_VozRtgUT7wW
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

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

Missed the previous lesson?
https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/using-algebra-to-find-the-measures-of-vertical-angles?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.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Geometry channel:
https://www.youtube.com/channe....l/UCD3OtKxPRUFw8kzYl
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This chemistry video tutorial explains the concept of dalton's law of partial pressure. It provides the equations plus plenty of examples and practice problems for you to work on.

Pressure & Boiling Point: https://www.youtube.com/watch?v=6t50Gmo8tq0

Gas Pressure Unit Conversion:
https://www.youtube.com/watch?v=JNOg1OsxMUw

Manometers & Barometers:
https://www.youtube.com/watch?v=8P5NlpxGT7Y

Water Height & Mercury Column:
https://www.youtube.com/watch?v=C6iFuluQvJk

Boyle's Law Practice Problems:
https://www.youtube.com/watch?v=v8r_AU_TlPg

_________________________________
How Does a Bike Pump Work?
https://www.youtube.com/watch?v=I0b_i6-HLBA

Charles Law:
https://www.youtube.com/watch?v=uZ2d79NFx2w

Gay Lussac's Law:
https://www.youtube.com/watch?v=RszgzH_2A9k

Avogadro's Law:
https://www.youtube.com/watch?v=Czo2rIai5u0

Ideal Gas Law Problems:
https://www.youtube.com/watch?v=iaZ96KaQ44c

Combined Gas Law Problems:
https://www.youtube.com/watch?v=pFaYMR2UAGE

_______________________________
Gas Stoichiometry Problems:
https://www.youtube.com/watch?v=hPY7d6GUEV0

Molar Mass of a Gas at STP:
https://www.youtube.com/watch?v=XTiR7F6FzNc

Gas Density at STP:
https://www.youtube.com/watch?v=p8Mqx6CrDis

Dalton's Law of Partial Pressure:
https://www.youtube.com/watch?v=J7YRwU7IV8Q

Collecting Gas Over Water:
https://www.youtube.com/watch?v=1obOU5CxoQ4

_______________________________
Gas Density of Mixtures:
https://www.youtube.com/watch?v=OOD4Wg_TwX4

Average Kinetic Energy of a Gas:
https://www.youtube.com/watch?v=drZe2cCu-mc

Graham's Law of Effusion:
https://www.youtube.com/watch?v=urJI2RHZ42k

Kinetic Molecular Theory of Gases:
https://www.youtube.com/watch?v=iAsP-9m2aH0

Gas Law Problems Review:
https://www.youtube.com/watch?v=2ZtLDXF1V6w

_________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

This short video was developed for CEDoW staff to learn more about prompt creation. It has been made using a mix of AI and other tools. These are listed below
- Content from Gemini and Google AI for Educators course and personal insights
- Slide creation using Gamma AI
- Voiceover using Speechify
- Compiled into a movie file using Apple Keynote.

First Grade Literature - Nouns .

Check out the rest of the channel for more content and don't forget to like and subscribe! I'll be posting more videos!

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/algebra2/x2ec2f6f

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/e/the_complex_plane?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-number-addition?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

Missed the previous lesson?
https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-number-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!

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

Subscribe to Khan Academy’s Precalculus channel:
https://www.youtube.com/channe....l/UCBeHztHRWuVvnlwm2
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

Students learn about the role engineers and mathematicians play in developing the perfect bungee cord length by simulating and experimenting with bungee jumping using washers and rubber bands. Working as if they are engineers for a (hypothetical) amusement park, students are challenged to develop a show-stopping bungee jumping ride that is safe. To do this, they must find the maximum length of the bungee cord that permits jumpers (such as brave Washy!) to get as close to the ground as possible without going "splat"! This requires them to learn about force and displacement and run an experiment. Student teams collect and plot displacement data and calculate the slope, linear equation of the line of best fit and spring constant using Hooke's law. Students make hypotheses, interpret scatter plots looking for correlations, and consider possible sources of error. An activity worksheet, pre/post quizzes and a PowerPoint® presentation are included.

View the full activity on TeachEngineering:
https://www.teachengineering.o....rg/activities/view/n

TeachEngineering has over 1,500 FREE lessons and activities. Visit https://www.teachengineering.org/ for more

Music: Morning Mist - Quincas Moreira

This is a replay of EdWeek's webinar, "Joining Forces: Tapping Teacher Specialists to Serve All Students." Adams 50’s Steve Sandoval—a 2016 Education Week Leader to Learn From—created an “interventionist framework” out of frustration that his district's talented education specialists were isolated by separate certifications, regulations, and funding streams. Learn how the Adams 50 school district in Colorado brought together an array of education specialists—who typically work only with select students—to use their teaching strengths to benefit all students. ____________________

Want more stories about schools across the nation, including the latest news and unique perspectives on education issues? Visit www.edweek.org.

About Education Week:
Education Week is America’s most trusted source of independent K-12 education news, analysis, and opinion. Our work serves to raise the level of understanding and discourse about education among school and district leaders, policymakers, researchers, teachers, and the public. Published by the nonprofit organization Editorial Projects in Education, Education Week has been providing award-winning coverage of the field for over 35 years.

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To license video footage from Editorial Projects in Education please contact the Education Week Library at library@epe.org.

Students are introduced to servos and the flex sensor as they create simple, one-jointed, finger robots controlled by Arduino. Servos are motors with feedback and are extensively used in industrial and consumer applications—from large industrial car-manufacturing robots that use servos to hold heavy metal and precisely weld components together, to prosthetic hands that rely on servos to provide fine motor control. Students use Arduino microcontrollers and flex sensors to read finger flexes, which they process to send angle information to the servos. Students create working circuits; use the constrain, map and smoothing commands; learn what is meant by library and abstraction in a coding context; and may even combine team finger designs to create a complete prosthetic hand of bendable fingers.

View the full activity at TeachEngineering:
https://www.teachengineering.o....rg/makerchallenges/v

TeachEngineering has over 1,500 FREE lessons and activities. Visit http://www.TeachEngineering.org for more!

Music: Aimless Amos

Martin Cisneros - Twitter: https://twitter.com/sjsulurie - Director of Technology Services in the Berryessa Union School District, led this conversation:

Need to enhance your distance learning game? Are your students tired of digital sit and get, consumption programs, and bored with just text activities? Then this learning experience if for you! This session involves teachers everywhere to use technology to engage learners and amplify the learning experience in classrooms. Learn to focus on pedagogy first, and then CREATE LEARNING EXPERIENCES on the purposeful and engaging use of technology!

Intended audience: Those who teach grades K-12

The SJSU Lurie College of Education has established this free K-12 Online Teaching Academy to support pre-service teacher candidates and current teachers to strengthen their online teaching skills and adapt to our current circumstances. Learn more about the academy at sjsu.edu/education/k12-academy

Connect with Lurie College at https://linktr.ee/sjsulurie to receive more news about academic and student life!

In this hands-on activity, students learn how light travels in straight lines and how images are inverted when passing through a small hole by creating their own pinhole camera. They explore the historical development of cameras, from the camera obscura to modern digital cameras, and discuss how engineers have played a role in these advancements.

View the full lesson on TeachEngineering:
https://www.teachengineering.o....rg/activities/view/c

TeachEngineering has over 1,900 FREE lessons and activities. Visit http://www.TeachEngineering.org for more!

Santo Rico - Twin Musicom

#Shorts