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Joseph Brian Roswell
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Multiplicative and Additive Relationship
Added Sep 14, 2022
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they were going to talk about something that we already discussed last year last year we said we had input output can we use equations we use the word direct and indirect when we talk about relationship in preparation for algebra which you guys are going to start really diving into more in death next USF grade students is our ability to find relationships between RX which is the horizontal and the why what happens to ask as a direct impact on our way so therefore we said as a review ask is there for when we call in independent veritable and your why is there for your dependent or the value that you get after you plug in your ex into your equation and when you saw this you got your final answer and that's what your wife becomes and when you do that you get your X and Y as an ordered pair ordered pair as your ex value, y value that's our ultimate goal and we will grap it onto our coordinate plane last year we said that a dependent variable dependent MattyB Robbie said that Direct relationship you're a direct relationship mean bad your linear which means line that even has the word line in the word linear the word linear mean line equation so this is a linear equation or an equation of a line call through the origin the must pass through the origin which has the value of Prince's 0, 0 all right so this year we are really talking about and I hate saying this word I'm sorry because I jetpunk twisted multiplicative multiplicative and what that means it is going to go through the origin with this is your origin on a coordinate plane that must go through or where your ex and your y comes together and meet that is correct always going to be your organ and when we craft we all restart from the origin now what does that really mean why do we need it well let's say this what if you have in real life you have a 20 question test each question is worth Five Points goodbye * 20 give you a hundred and that's your master score on a test on assignment but is it always going to be the fact that you will make a hundred so you're always get 20 out of 20 but it may not be that way so we have what we call a linear equation and when we have what we call it a multiplicative I have to go slow direct relationship that means I'm going to have the Y equals X a a model we are going to use the Y equals AKA next year they're not going to say that's a k a hey at the ax is your variable your wise your variable therefore it would like to your X and Y on you coordinate B and your really is your what do you what part of the equation is that begins with a C call we patient thank you do we say this is our coefficient so that is how we see it for next but this year and when you get into 8th grade is going to look like this y equals k x when is the MS in Roswell that is the same thing as this you're right it is known as a coefficient your case is now going to represent your slow I was going to be your next in 8th grade all right I will challenge you to start working slow and I'm going to tell you about that later. so now I'm going to go back to our expectation wife goes pee and I'm going to give you an example y equals 2 what is an equation it is a linear equation and I can tell that this is what we call a multiplicative or an direct relationship equation linear equation that is because and this X-Men that has a up here is being multiplied or glued together so whatever value I put in Forex I must always multiplying with the shoe and when I do I'm going to get the value of my y and the easiest way to do this is through a t chart and I said your friend is always going to be your T chart you're going to have a manual Javier y XYZ and they met give you numbers already in the X column but if you don't I would use zero and one always if it all possible why cuz it's easy do I have to put in 0 and 1 and what does that mean well that means I am going to substitute my 0 everytime I see in my original linear equation too icy and ask for the parentheses mistaken for a 20. Is correct Y is equal to 2 and because we said when we first started the school year anytime you have a parentheses in a number attached to it you multiply 08002 now because this is my ex by by you I left take this zero and put it in my why, because this is my when I saw this like I said they gave me 0 y equals 0 so why put it right next to the zero of my ex going to do the same thing for my one this time we go I use different color why I always write my equation 2 x what time why you goes to a Xanax so I have a parenthesis created and I'm going to put what this time no one won and now because best to is attached to this parentheses it means I am going to do yeah I wish I could say it as quickly as you guys could because I use the one for my ex I put a on the same horizontal line so every time I plug in one or give me a two at my output this is again what I maybe I should put this in so there's your work in in independent game but okay so now going back down to hear this I ordered a y w this I take this in the same parentheses separated as always comes first this one is really same parentheses one, and I come back up to my grass and I said that your direct or multiplicative linear equation will always pass through 0, 0 which is your origin call Thomas Wright I'm going to write it on your own, zero where's my next order pair one, to start always from the origin where your x and y intercept is going by so move over one and I go up to and I right one, too renzi and I take my route and I connect the two ordered pairs online coordinate plane I can let my arrow and don't forget line linear means it goes in one direction and endlessly in the other direction and therefore that's why we put the arrow so now all my linear graph I put y equals see you at my original what is your expectation for me in my class once you draw and connect you are ordered pairs and you connect it I see an arrow on both of your end caps because it's the line and I should see you on my blind your equation of your original equation which is right here you had a question yes glad you liked it was that like a word problem well I can just say that I'm going to go ride every roller coaster that's on this the county fair by every time I ride I have to pay $2 so if I want to ride by X I'm going to put 5 x 5 to buy want to ride 20 ride then I'm going to have 20 times and that's why is always the increments of that too in this example whatever your coefficient really is is what your mom's plan by yes you will have a project all right let me use shift my focus now to the next vocabulary term which is the additive that's just more work all right an additive again we will still used independent and dependent asking why that never changes I will still have an x on my horizontal y on my vertical to intercept right at this time this is what we call in the rat relationship another word relationship means something different from when we had placed I PayPal you it says the movement across from one place by 8 to the next place I over and it was always 10 times greater or 1:10 if we depend on what direction we went but when it says the word relationship is it is saying what happened and we in put a value in put the X what is the album how is that affected that is how is related so therefore the word relationship is always with the Y in this example whenever one according to blank their relationship has to happen impact of your ex the output effect of why is never asked for the X & Y where the Y is never that way so that far we have what we call y equals Plus hey in this example is really your constant that's how we call the constant for our 6th grade level I'm going to tell you what is going to be called when you get into 7th grade okay now when you do this what does it mean hit me that when be ordered pears are connected , the linear which means line equation will pass through y axis and I know it looks real intimidating I'm going to make it as simple as possible for you what does it mean let me know when the order pair once we use our teacher just like we did with our direct and multiplicative relationship we use a t-chart equation must pass through what we call the y axis how is this going to look are some of you next year but most of you in 8th grade is when you going to really start diving into this and for sure in a 9th grade Algebra 1 what is going to look like is this y equals m x + B is the same thing as a plus sign in front of it Amanda's ex is your input variable just like been talking about input outlet and therefore you're okay this example and this m is going to represent your slope this is your slow is what it's going to look like this instead of the word constant is going to be changed to the Y in Center sap what that means when it comes out for you why access that's what I wrote up here when were using this additive relationship what does it mean the ordered pair are connected and when you connected it is going to come through the Y access which is your why and I'm going to give you an example Text Joe Here. Let's say we have y equals 2 x + 1 is your why there's your calling Patient First at the coefficient As you move on your math grade level this to you is going to be called that which is the slowest your variable input variable and because I have a plus sign Reno is the additive or a indirect relationship plus the one which is really your a value in constant but it's going to be back to be called the why is the right now I can already tell you it must go through so one on your why it has to be and here's why why would a I am going to put poppy y equals to I see an ex when I create and he is 10 and what ready your Xanax I can only plug-in substitute one at a time and call me when you finish write your answer in the Y, then you do the same thing all over again with the next number so don't try to put both of them in the same time how far is 0 here copy now I get to * 0 + 11 and that one goes next to my zero input there's a one man I'm going to do my second example y equals 2x + 1 I'm good time every time I see an and I'm plugging away one that's where my ex, mr. Davis Plus 2 times what what is 2 + 14 this really means after I take get out of my t chart 0, 1 parentheses 1 1, 3 and yeah now I'm going to go plug these ordered pairs into my coordinate plane I always start at my origin to start my movement X always counts if I never move my ex is a zero I don't move to the right so I'm done with my ex so I only move my why so, one I start at 0 0 and I can I go to the right no I go straight up and I right 0, one time when I go to next door repair 1, 3 I always start from the Jen and I move how many over to the right what what is it value over one and then I go up three one two three. It is man I take my trust ruler and I connect my ordered pairs which is a year and I connect and I put the end caps an arrow has lines are endless in both direction right here and all my line was my original equation y equals x and y equals 2x + 1 and what did I say it must through what points on my wife and did it and that's why I saw the y intercept mouthwash it is called the y intercept so this year is really yes yeah I'm thinking a lot back this is really give me a call duy inter saps form I'll just a fancy way of saying hey guys it's not going to go through the origin is going through the Y by you find your of your y-axis and that's it so I don't know what teachers make teacher when you get into your PS4 and algebra and make try to confuse it I'm just telling you take a deep breath and understand if you just look at them notes it makes sense to connect it all right I'm going to shut off the video on this one and then we can have discussions gallery view
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