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Hey everyone, its education station, the show where we invite teachers from all across West Virginia to submit videos of themselves teaching their favorite lessons.

In today's episode, we've got three exciting lessons about math, science, and Spanish.

Well, hello, and welcome back, everyone.

I'm your host, Alex Melanie's, and we're kicking things off today with an exciting math lesson.

Miss Mills is going to help us understand how to solve basic equations.

Let's check it out.

Hey, guys, my name is Abigail Mills, and I'm a junior at pineview High School.

And I attend the careers and education class at MC tech.

So today we're going to be talking about one and two step equations.

And the first thing we're going to be talking about is variables.

So a variable can be any letter, it can be a, b, c, anything in the alphabet, but the most common one is x.

Factor variables, we're going to be talking about inverse.

And inverse is basically like the opposite.

So what's the opposite of a boy?

If you said, girl, you were correct.

So in math, let's just say we use multiplication.

So what's the opposite of multiplication?

If he said division, you're right, so opposite multiplication was division.

And the next one is a dish.

So what's the opposite of addition?

If you said subtraction, you're correct.

So now we know what variable is.

And what inverse is, we're going to be talking about one step equations are.

So the first equation that I have is 5x equals 10.

And so 5x means multiplication.

And you remember we do inverse, and that's the opposite.

So what's the opposite of multiplication, division.

So whenever we do this, we'll divide on both sides.

So now we bring down five.

And those would cancel out.

Now you're left with x equals what's 10 divided by five.

The next one we have is x plus one equals five.

So now, we saw on the last one was multiplication.

So on this one, it's addition.

So the opposite of addition is what subtraction.

So remember, we have to do this to both sides.

So we go over here and move it over here, too.

So now, these cancel out.

And you're left with x equals four.

The last one that I'm going to be doing is x minus eight equals 16.

So now on this one, we see that it's going to be subtraction.

So the opposite of subtraction is addition.

So we would add eight, and we add them to both sides.

So now we're left with these cancel out.

And what 16 plus 824.

Now that we know one step equations are we're going to go into two step equations.

So now I have 2x plus one equals 11.

So I know on the one step equation, you might think that we would do something to this 2x you think that we might would divide it since I told you that 2x means multiplication, but we don't.

We want to subtract the one first.

In remember, we do this to both sides.

So these cancel out.

You bring down to x equals 11 minus one is 10.

Now we're back to one step equation.

So now that we know what two x's which is multiplication, we do Opposite, and that's division.

So we would divide two by each side.

So now we're left with what's 10 divided by two?

If you got five, you were right.

So the next one is 3x plus eight equals 23.

So you remember, we don't start with the 3x.

We start with the plus eight, and the opposite of addition, is subtraction.

And we do this to both sides.

Know what's 23 minus eight?

It's 15.

So now back to one step.

Again, the opposite of multiplication is the vision.

Running to this to both sides.

Now, we're left with 15 divided by three.

And what's that?

The answer is false.

So now, I'm going to give you guys a problem that is wrong.

And I want you guys to think of what I did wrong.

So here I have 4x equals 16.

And I multiplied them by four on each side, and I got that x equals 64.

But you remember what?

inverses right.

So what did I do wrong here?

Well, I multiplied it by four.

And I was supposed to divide.

So it was supposed to be 4x equals 16.

Supposed to divide by four?

And then what should my answer be?

The answers for now that I did one with one step equation, we're going to do a two step equation wrong.

So what I did was 6x plus two equals 20.

And the first thing I did was I added the two and then the next thing i did i multiplied.

So if you look here on the first thing, what did I do wrong?

Well, I wasn't supposed to add two, I was supposed to subtract two.

So I should have subtracted two on each side.

And then down here, I did the same thing on what I did on one step equations, which was I was supposed to do what instead of multiply?

I was supposed to do bad.

So I should have divided by six.

So it should have looked like this.

So suppose I tracked by two on each side.

And I would get 6x equals 18.

Then we divided.

And 18 divided by six is what?

Three.

So now that we know once in two step equations is you should now have a better understanding of how to do them.

Thanks, Miss Mills.

Alright, so we just learned how to solve basic equations.

But how do we use those in a real world setting?

Well, one way is when we solve for unknown forces, like in a problem involving simple machines.

For more on this topic, let's go visit Mr. neesee, we're going to look at symbol machines.

And what they do, the purpose of a simple machine is to make work easier, right, they don't have very many or any at all moving parts.

And they work by changing the direction of the force, or the amount of force we need to do something, they do not change the total amount of work needed to perform the overall task.

So what we need to define first are the two words force and work how they relate to physics, right?

So a force is a push or pull upon an object resulting from the object's interaction with another object.

That's a force.

Whenever there is an interaction between two objects, there is a force upon each of the objects.

So if I would take my hand here and place it and push against the wall, I'm pushing with a force against the wall, but the wall is pushing back against my hand with the same amount of force if not one of us would move, right.

So there's an equal amount of force.

Those are what are called contact forces, right?

We have two interacting objects.

In this case, it's my hand and the wall.

And they are perceived to be physically contacting each other, which we are, which, when I push against the wall, I drew a little picture for you up here, this is just a table and a box sitting on a table, or in a book rather sitting on a table, the book is exerting a force on the table.

So here we have the book, here's the force arrow going down, right.

But in order for this book to remain on this table, this table is pushing back up with the same amount of force on the book.

So we have the force of the book on the table, and the force of the table on the book.

Also, we have the force of the table on the floor, and the force of the floor on the table.

Those are all of the forces in our diagram here, forces measured in what we call Newton's, like Sir Isaac Newton.

And a Newton is the amount of force required, we're going to give a one kilogram mass and acceleration of one meter per second squared, one meter per second per second.

So one Newton is equal to one kilogram times meter per second per second, right?

That's what one Newton of forces, what we will look at our forces, it's a vector quantity, we have vector quantities.

scalar quantities vector means it has both a direction and it has a magnitude.

So we would say that's a force of 10 Newtons down on the right, or a force of 20 Newtons up, that's a vector means we have to talk about both of those things.

When a force acts upon an object to cause displacement, that means it's moving right of that object, it is said that work was done upon that object.

So once we set that force to move something, now we're doing work, the three key ingredients for work, we had to first have that force, then we have to have that displacement, that movement, then we have to talk about what caused that object to move.

Okay, so let's look here, we have this little guy, I drew him, that's I'm not the best artist, he's got his little hat on, and he's at the grocery store.

Here's his grocery cart, and he's pushing the grocery cart, see, the man is exerting a force, once he pushes the cart, but the card is being displaced, right, it's moving across the floor.

So we have this man pushing the grocery cart this way, and the forces are moving the wheels, the wheels are exerting a force down onto the ground, the ground is exerting a force up onto the wheels, but he has to overcome this force in order to get that cart to move.

Right.

So work, that's the work he's doing on the cart, can be calculated with this equation work is force times distance.

So if we wanted to measure how much work he's doing on that cart, we could say he's pushing with a force of 10 Newtons over 10 meters, right.

So we take those and multiply them 10 times 10 is 100.

And the unit for work is called a joule.

JO, you lie.

That's the amount of work that is done when one Newton force moves an object over the distance of one meter.

So that's our joules, we would say that would be 100 joules of work.

So now that we know about work and force, we can look at the six simple machines to see how they work.

So we have this pulley, if you've ever seen a pulley, and there's a rope going up over this pulley, this is our hand pulling on the rope.

And this is some kind of way to attach to the other end of the rope.

So a pulley has a wheel that allows you to change the direction of the force.

And as we pull down on the rope, the wheel turns, and what is ever attached to this rope goes up, right?

This is to help our would it be easier for you to go lift this heavy object up off of the floor?

Or would it be easier to use the pulley and the wheel to change the direction of the force, and to make you be able to lift it, you could lift a lot more, right?

You're still doing the same amount of work.

If this was 10 kilograms, and we moved to 10 meters, it's the same amount of work, but we've changed the force that you have to apply to do that work, right?

That's number one.

Number two is a lever, right?

This is a rock maybe we have here and we have this lever.

This is called the fulcrum that it rotates across in someone's hand pushing down to push the rock up.

So a lever helps you move heavy objects.

When we push down on one side of the lever, the other side goes up.

If you're ever out on the playground, and you have a friend and you get on a seesaw, one of us on one end and one of us on the other.

And you have to push down to get them to go up and they have to push down to get you to go up right.

So that's that's like a lever.

The third type of simple machine is called a wedge.

This is a log and we're using we're going to split this log with this wedge correct.

It's used to split materials, we're just using a log by placing the thin edge because it comes into a point on the log we can hit it with a hammer and the wedge will change the direction the force is Push that log apart.

That's how you split wood right where you have it on, it's already on the stick and you hit it with a force, right?

The fourth type of simple machine is an inclined plane, it's easier to move heavy things up a ramp than it is to lift them straight up.

So a ramp is a common example of an inclined plane.

Here we have a barrel, or we have some kind of thing that we're going to move, and we're going to roll it up this inclined plane, which would be much easier for us than lifting it straight up off of the floor.

The fifth type of simple machine is the screw.

And we've all seen those, whether it's in your TV or in your furniture, or wherever a screw is an inclined plane, right, which would be this way around a cylinder.

So we're moving our inclined plane around the cylinder.

The closer the threads are, the greater the mechanical advantage.

And we're going to look at what the mechanical advantage is, at the end, it is easier to drive a screw into an object if the thread spacing is smaller.

So the closer they are together, the easier it is to screw that into the object.

The last simple machine we have are the wheel and axle.

So I drew sort of an axle here connecting these two wheels, they're two connected rings, right, or cylinders, one inside of the other, and they both turn in the same direction around the center point like on your car, they may increase or decrease the input force, right, depending on whether the input force is applied to the axle, or to the wheel.

So here would be if the force is applied here, anywhere along here, or if the force is applied to either either of the wheels, right?

So those are the six simple machines.

The last thing we want to look at, we want to look at the fact that all simple machines change the force by changing the direction or the distance over which the force must be applied, right?

The work done is always force times distance.

And this must always be the same because of the law of conservation of energy.

In the second video, we're going to look at energy, but no law of conservation of energy means energy can neither be created or destroyed.

Right?

So we can't create energy in our work.

So we're either gonna have to change it by changing the force, or changing the distance.

And that's what simple machines do, then we look at what's called mechanical advantage.

And that's just a ratio of how much force we output to how much we have to input into this system.

How much do we get out of that simple machine, according to how much do we have to put in?

Or why would we use a simple machine?

Why would we not just do the work?

There has to be some advantage to using a simple machine, right?

So despite the changing forces that are applied, the conservation of energy is still true.

And our outputs got to equal our input.

Thanks, Mr. Niecy.

Okay, for our final segment today, we've got an upbeat Spanish lesson from this gags.

She's going to teach us some Spanish using items around the house.

Let's check it out.

Hello, my name is Lanka.

Today you are going to learn Spanish Spanish with meaning.

And we're going to talk about my friends.

But first, I want to teach you some of the words that you will learn in the other words it will be very easy for you to understand.

So how are you?

We said call my staff How are you call my staff?

Bn Good.

Good.

bn.

Also a small Kenya a small Kenya big grand a big grandi and we are going to use a call logs like pink pink process Rosado.

Brown is my wrong white Blanco like my name.

So I hope you enjoy this lesson estan bn.

Omar o vamos a pissant Review Lhasa head tivos para describir annoys tres amigos eternian vamos a rapid fat loss Caloris for the hemlock care Haiti was alto bajo grandi pick a simpatico on the particle komikko.

Dual se Caloris balmaceda sad for him flow, record a negro morado as soon as that can handle grease muddy here Where they cross had Oh, Blanco Yeah, but I'm also gonna say boisterous amigos amigos, a stylist those Are you ready?

Wow.

No man numero uno Bama.

sakana se nuestra amigo.

koneko koneko koneko tatsoi bn o se Coney Whoa Wow Oh.

Elko ninho is picking your pick a no.

Yes my roll call Andrew saddle koneko is seen particle moisturing particle la rue sta comecei Santa's audience okay at the Oscar ninho no matter what those our second Sennheiser semigloss Ma, ke, Tyco mis amigos loss more loss Yuna persona muy importante que mi gamow Jorge any less yours Oh Jorge Kbn because that sorry.

Oh yes, right regular regular lucienne supported by scrivere Jorge convoys Jorge.

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Oh.

ls mi amigo backup?

it back is more different than yours.

See?

Forget Packers pick a new pick a new e commerce backhoe part goes mad roll eBay's yes pick a new Jorge is grande de gras Grand Canyon Oh yeah, nice tres amigos la smanos el agua de la playschools taco mass de komende.

Yeah, your comment last bananas lava Nana mucho Okay.

Oh, and I will say this concern.

I do have a rose.

Yo, yo boileau vamos RBC Terra nuestra amigo a lodo a lodo.

See?

Oh, yeah.

Oh la.

Que pasa?

nada en casa.

Wow.

Lucien de lado.

He is cool.

Oh, yo, yo, soy Abdullah door.

megusta a blah, blah, blah, blah.

He think muchas coladas soy assume americo a bear with a bear.

They are so jamari you Wow.

Image booster mucho por la pero min Kanda Vlad.

Oh, okay.

Adios lorito he akili do estoy con mi amigo.

de la si.

Yo estoy en la la hora de de como esta yo estoy de mi.

Lucien e Coronavirus.

O yo soy grandi is soy Valley Aunty braith been in the womb?

Okay.

You may rooster Corvair ky No.

Okay.

Yeah, la blancco p nagl.

Si le T is Blanco injera.

Okay.

Estella v stamey Lottie Ray Yaki lost our sauce Laos it also he tengo muchos all source see eco masala sauce sauce when is the author's grandi pero es they also speak a new level speaking at mbn c e l also is armonico do see enough so source let's go stat command basis C'mon emo he come here let's go.

So brass sad Okay, yeah don't call me any manpower Ito l pero el pero se Yama Rocky?

Girl kiss movie deuces z movie.

elf my role model on?

Er rocky Legos Comair.

He complained this man y'all see rocky would be in Rocky el Faro.

Wow.

Omen Saha importante is cuccia can attend see on port forward.

recommend a Sione importantes para la cuarentena numero uno o Salah mascara.

No matter no matter the lava lamp Nanos more ebn Bay no matter.

Thanks, Miss gags.

All right.

Well, that wraps up everything for us here today on education station.

We want to thank everyone who shared their awesome lessons.

And we want to thank you for watching.

We'll see you next time right here on education station.