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Math 7 - Module 1A - Lesson 2

Added Aug 20, 2020 •

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How to check if ratios are proportional to each other by checking for the Constant of Proportionality, k. Find and use k. y = kx or k = y/x

Show Transcript

so let's say this is this our lesson 2 same concept so everything all that so the class work we got examples exercises soap we're always going to do together exercises you're going to try on your own and then we'll go to get do it together and then so you could correct your work keep on doing the same concept right here and then this right here your has your classwork / homework this is the only thing you really need to do on your own but since we're doing it in in like a breakout rooms do it together so this right here forgot sorry so this right here is the only thing you really need to try and do in her own but like I said you could work in partners and what not and breakout groups all right so we're always got a lesson summary anything before consider this like notebook notebook we are doing this pretty much together even the ones you do it first and then we go over together give her asking anything that you guys in to clarify just let me know let me go find why are we finishing class or early how is it early looks like you only got seven. Do you want I was in early it still every class has the same hour and a half but I'm trying to do like I said quote on quote our lecture super quick so we could just get to or classwork and then you could get that done super quick so let's go to this right here 1 through 7 I'll go through a couple these to make sure if you guys got specific one you want to go over I'll do that but I'm going to choose a random one here I'm going to do a quick review of this lesson 1 what I wanted from you or what I expected of you so this right here will start with one so I did a b or AMC but I'm going to be in a second cuz I haven't done that one so my number one goal for you guys the very least was to know how to write a ratio write a ratio I know there were three different ways to write a ratio yes I said they're made it look like there's four but it depends on how you write it we all got different handwriting so the last was pretty much the same but the three so A to B that's one to be back to the third one but use a different color even though I always is up and mess you guys up and say It's A over B R right when we're saying it as a ratio with a to be even though it looks like a fraction a over B is a to B so these are the three ways if you had a typewriter if you had a keyboard and go a backslash be but remember this backslash we don't have this underlined this fraction line that's unless you have money so special witches I don't know the special hotkeys for that so these are the three ways to write a fraction ever going to do see first so we can find each rate and unit rate be so first write it as a ratio you can write it like this you can write it like that but to do work to find rate and unit rate this is always the best one to show if you want to do something with your ratio work soci for reading meters alright 40 Sears in 16 seconds so this is your a that you're being if it doesn't have a sentence describing these things just go left to right the first thing is RA the second thing is your B A equals 40 meters M lowercase m stands for meters b equals 16 seconds SEC is short for seconds so technically all you can do is 40 over 16 second that is your ratio but we want the rate I'm going to do a mini lesson video of it and post it up pretty much understanding what is and why but all you have to do is divide to find the rate all you do is divide cuz when you divide by 16 you get rid of the 16 alright 40 / 16 16 / 16 here I'll write it out 16 / 16 we end up with one in rate you're always looking for what one is on the bottom your denominator how many meters in one second that's the rate so 16 / 16 gets us one what's 40 / 16 I don't have that off the top of my head I'm going to cheat and use a calculator and imma show you the world on a test quiz we can't use the calculator I'll show you the wrong way in a second I just got to show you what it does so 40 / 2.5 Sol 2.5 meters per second 2.5 m in one second that's the rate that unit rate is just the numerator of top 2.5 pretty quick with a calculator but without that how much is this 40 / 16 a division problem this is called an algorithm / be so here's another way to think about all of this distinctly is the fourth way but it's this written like that so A / B is always top / the bottom number the algorithm is this numbers always on the inside number bottom numbers always in the front so 40 / 16 I'm going to show you I'm not going to do that I don't want to think about how many sixteenths are in 40 opening equal for a second the second thing I wanted you guys to know this is the first main thing how to write a ratio the second thing I wanted from you guys is to know how to say find ratio meaning make an equal simple version of a ratio so do that off to the side we're simplifying a ratio 40 / 16 2 simplify ratio is just like simplifying a fraction you divide the top and the bottom by the same number notice 16 doesn't divide evenly give me a number that you can divide into both 14 and 16 you can add a chat or where I find let's go to we get 40 / 22016 / 2/8 owl lipstick equivalent fractions down here so we found a fraction equivalent ratios correction so one way to find equivalent ratios if you have a ratio that can be simplified all you got to do is divide out the same number so 40 / 16 equals 20 / 8 set up here but here's the thing are we done can we do some more what else do we divide by 20 + 8 what do we divide by all right that's another one so let's / 4 20 / 4 is 5/8 / 4 is to go anymore is there a number that goes into 5 and 2 no no no good so this right here 5 / 2 is the simplest simplest meme simplest means you can't get any more evenly this is as far as it goes so 8 is a simple version but not the simplest so all three of these are equivalent ratios here's another way to find equivalent ratios once you find your simplest ratio you can multiply any number to this to find another equivalent ratio give me a someone give me a number to x 7 * 7 top end 5 * 7 35 to x 7 14 so ways to find equivalent ratios if you got something that's bigger keep on dividing each one of these each one of the results is an equivalent ratio when you can't go any further that's the simplest if you have the simplest you can multiply so and you can multiply by any number you want so that means you get have an infinite amount of equal ratios equivalent ratios and now one last note before I go back to this this is how we do. This is a nice way of explaining why all of these are equal for all of this I * 7 and got this I multiply this by 4 I get this I multiply this by 8 I get that all of these are equal cuz whatever we X has to be the same number the same number over the same number that has a value of 1 and think about this anything * 1 is that anything 5/2 * 1 is 5/2 but because we made the one out of seven it just looks different equivalent means they're the same but they look different it's like an English words have the same meaning but are different words are called synonyms so we multiply anything by 1 especially if it's a fraction equals itself but when it's a fraction we just make a different looking for that's equal to the original or the simplest are so back to this now we got our simplest ratio so 40/16 we know is 5/2 instead of writing this I could do this remember the top is on the inside which one would you rather do orange or green that's a rhetorical question obviously the green cuz it's simpler numbers how many twos are in 5 one person typing thank you very quick to if you want to just type in and said unmute yourself perfectly fine that's for we subtract we get one but no remainders right here you got to remember to put in a decimal what is there a placeholder bring down the zero how many twos are in 10552 * 5 is 10 now we have as a remainder or answer is 5 what is 40 / 16 2.5 that was one so that is the pretty much everything that you needed number one go let's do a quick review number one goal I need you guys to know how to write a ratio in reader a show at the very least set it up to one of these forms but setting up to all three that is the main thing if you got that everything is totally important lesson 1 I was going to practice the next thing how to simplify a ratio you got a ratio that's not the simplest form know how to break it down and at the same time you get this I'm glad whoever said it said to First biggest number you could have divided both of these by was eight if you did not see a do what you just did you told me to cuz you saw that always go to the first thing but then we 20 / 8 simplifying bring it to the simplest just because you got to hear and do the work right doesn't mean you're done always check your answer am I done yet and I said can we go buy some more for PS4 what's four five I heard that Leesport by Voices which is good you saw that we could bring this down simplified some more and then right here we couldn't do any more this is the simplest form and this is always even dividing by 20 and 8 would have still got is 2.5 I'll do that after this I just to show you can I renew six no cuz look what what's 40 / 6 of some decimal or or if you want me to do 6 or you six are we you said that we cannot use 624 divided by 6 is 7 decimal 16 / 6 is some decimal numbers that you divide even no remainders good question good question so with that those numbers you can do 4 40 / 4 is 1016 / 4 is 4 we would have got 10 over for yes you could have done that anything that divides without a decimal and lazy with no remainder that's what you could use question so right here we / 2 we didn't have to go all the way here as long as you get to a point where you could divide nicely watch we didn't have to go here but it's always best to go here cuz it makes it easier I could do here to it goes in a 20 2 * that's 8 * 2 is 16 subtract I get for that's a remainder let's bring down a decimal it goes on find 2.5 no matter what, tell you if you actually did this way you would still get 2.5 let's do the other one just to show all of this stuff 40 / 60 you asked if we could we have done for ya that was a great question all right cuz I want to get confused 40 / 410 16 / 4 4 equipment I could put that down right here 10/4 equal ratios that's how you find all of these equal ratios multiply or divide so let's look at this list divide now top is always on the inside bottom how many fours are in 10 to 4 times 280 subtract we get to bring down the zero how many fours are in 25 all of these totally work it's whichever one is easiest for you me I always try to say people get in the habit of trying to make it the simplest but you didn't technically didn't me to these right just enough to do our division and then right when you divide rate is there rate and the unit rate is just the top number so find race easiest thing to do if you can if you're doing homework and you're lazy I know most of you are rate equals a / B and then how do you write rate it's just whatever that number is over one of that unit I put that there too / B over one of whatever the bottom unit is a 1 units it's always different you know if we're comparing cats to dogs you know maybe 80 bye-bye be dogs over one cat so that unit whatever's on the bottom all right all right so explain this review all of lesson 1 unit rate unit unit rate you one that's a bad term to use one sing be the bottom thing I don't know someone has a better word cuz I don't want to confuse you with that unit rate the unit rate is just whatever number is up top so if let's go look at some more all right I'll be number five and six and we'll move on to the next lesson alright lot of people I saw a lot of people emailed me hey if you don't ask don't have to wait till so if most people that you know me thank you for letting me know all right I'm right here with a lot of reading were drums but remember write a ratio that was our number one strategies for word problems first thing read it at least once or twice straight through I'll be lazy and read it once second thing go backwards after that and it will tell you what you're looking for and what to do and I'll explain all the different steps of the 30 girl of the peers of The Thing by going backwards it also tell you what to write and when to write it of the 30 girls who tried out for the lacrosse team at Euclid Middle School 12 selected 30 girls tried out 12 or selected of the 40 boys who tried out 16 were selected are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls how do you know self this last question right here how do you know is the same thing as this explain you know what all of these mean how do you know versus show your work why do you guys think I got to write a sentence I got a ride paragraph man you're doing too much this math Man show me show me to work how do you know show your work show your work all right what are we showing work for going back here this question so let's find the beginning of statement are the ratios of the number of students on the team to the number of students number Lake let's go are the ratio of number of students on the team to the number of students trying the same for both boys and girls so this question tells me what to do I got to look at the ratios the ratios of what there to rate shows number of students on the team and number as soon as trying out show I'm going to generalize you make yourself a model on the team to trying out or try that past tense cuz they didn't make it. Cut but the thing is, cuz it said this right here so much Newsela last reading and understanding question breaking apart going back that's a that's a tip I think you guys going to still do Newsela or they're going to switch to Achieve3000 I don't remember which one but a thing here's a way that to do all that work scroll all the way down for me Newsela article read the questions first when you read the questions then you go back and you read your paragraphs or article oh that was question for now so when you finish now that you already read the questions you don't have to go back you already have time idea where it is same thing with word problems read it through car backwards how to set it up I want a ratio to show my work how to ratios girls in Boaz all right double shot nothing just to see who's paying attention and who can read on the team on the team how many girls are on the team let's go Jessie I need your cell or Chata. How many girls are on the team selected in 30 girls who tried out I just said on the team cuz I was going to call something else to try it out. Just answer the question on the team on the team there were twelve and trying out there were 30 this right here this is why reading is important he took a second to read it through look at in the order most people would see girls first number for girls is 30 second number was 12 but look at this on the team versus trying out 30 girl tried out 12 on the team but your ratio set up so we can this some people would have wrote but it's 12230 Ladd scroll down in in in in in in in in in in in how many boys are on the team 12 so watch out this one went the girls of the 40 boys who tried out 16 I got it this is I'm glad you said that cuz cast of people did the same thing people said 12:00 cuz all right it's all boys and they saw the word selected but watch out Alexa so it wasn't just good that was a great mistake great mistake no this is why Alexa reading is so important again why we do Newsela so much lot of people when they just skim through it it it it it it okay I see boys and I saw the word selected which means they made the team 12 but here's the thing this 12 and it was this. 212 went with the girls watch out these are why those tests are so hard for a lot of people cuz you're you're you're in a pressure situation you got two minutes to answer this one question you're skimming through it so fast you guys got to realize it takes you about 20 seconds to read this do you do it faster cuz you're checking to see what it wants 30 seconds you still got 1 minute 30 seconds to answer you know it wouldn't be perfect good of the 14 boys who tried out 16 were selected so watch out that. Stop it went with whatever front Lexile is key and who you guys with all you guys she's going to do all this stuff with you so her class can help you guys out in this one for the word problems all right so 16 boys selected how many boys try it out Gladstone how many boys tried out Marco's is not in the ways Marco are you going to scream monitor so I can just eyeball you guys this whole class all right he doesn't send English okay whoever that was tell me how many boys that are 15 Ortiz thank you now look at this right here this is help us so we got our two ratios this even help us are the ratios of the number of stew on the team for both boys and girls the same it doesn't help us do work we can't do anything so that's why it's good to ride it like this we're going to compare and what's the next thing are they the same what does same in math mean same in math if things are the same what is the the term you used to say the same in math thank you one person who chatted to that thank you so we're checking to see this same equal we're checking to see if it's equal so this is the next step that's what makes word problem so hard are they equal ? how do you know know things let's say we don't have a calculator I'm going to do a calculator in a second to show you at the end of prove it works I have calculator if they're the same they say simplify down to the same ratio all right 12:30 what can I divide both of them by Tobin 32512 / 2 30 / 2 12 what's half of 12 what's half of 30 15 alright 6/15 can we divide anymore that right there is an equal but can we divide anymore yes weekly / 3x perfect 6 / 3 is 15 divided by 3 is 5 yes or no no so this right here is simplest and are you word form simplest form means we can't do anymore 16 + 40 what we / I'll take that we got 16 / 4 is 440 / 4 is 10 can we do anymore yes what correct notice you saw the four and went right away and then you were right there cuz everybody else what else can I do what else can I do with the first number that comes to your mind notice you said yes you could do it but then you cost and somebody else jumped in with two we all think differently and at different speeds for you individually first thing first no matter what do something do it if it's correct your good then you go and look at your results can I do some more do it and you're all end up math is not about finishing first math is about just finishing it right and there's a lot of different ways to get there for / 2 is 210 / 2/5 look they're the same and the question was are they the same for both boys and girls ratios these two are equations cuz they both simplified of the simplest thing the way you got to show it on the test cuz you're not allowed to use Calculus if you guys give me a reason other way to do it remember find the rate if the rate is the same technically this is the rate in ratio form at almost erase memory is OverWatch all you got to do is divide to find the rate 12 divided by 30 point for let's check this 116 / 40 point four both of these have the same rate for over 1 the same thing almost do this one to show you two divided by 5 Play 4 shut up there this is a test wise all right all right let's go number 6 then I'll do that and then we'll just go on to the next lesson cuz we're not going to finish it anyway it's alright Devon is trying to find the unit price unit price is just a number unit rate for on a six pack of drinks for sale for 299 his sisters is that the price each drink would for each would cost just over $2 is she correct how do you know is she correct yes or no how do you know she'll work if she is not Devon's sister find the correct price I am say this she's wrong this right here is she's not all you had to do is show your work to check it out how do you know show your work you'd have to do work just ask it's right around the first place this last line is tricky because it messes with you that's covered in this how you know all right look at this you always want to set up a general idea Devon six-pack they're trying to say she's trying to say how much is one can of whatever drink and she said $2 I can listen to that Alexa right there much is it for a can all right lost can how much does it cost for one can so my final answer needs to be in less money here I use a money sign is it she says it's too but is that right so I want cost how much does it cost for 1 so that is the rate the unit rate once you find what one can is straight up top so we don't have that what we do have is this so go in the same order cost to cans let's look at this what's our cost right now before we separate the cans to 99 how many cans 6 again can't really do any with this let's write it as now I'm going to show you where his sister messed up so which I find one can of what we got to do we got to just divide divided by 6 is that gets us 6 hands one can we technically don't even need this extra members just top / the bottom front / the and I'm going to stop for a second here's where she messed up this is her mistake sisters mistake she did this instead she put for some reason a lot of guys think I got to put the smaller number in front know it's the top the top number is on the inside the bottom numbers if this is her mistake and this is where why she got around $2 this is close to 3 so she estimated and round It Off how many threes are how many threes are in 6 that's what she got the $2 from wrong now let's look at this what a can should cost there is no 6 inside to so put the zero there how many sixes are in 29 that's why I'm pausing I need to know make sure you guys know your times tables 6 * 29 what comes close to 29th 4 4 * 6 is 24 closer to 6 good always what's 6 * 5 a 30-30 is closed but it's too big if you guys watch the pro is right when you're sick at home this Price is Right rules you cannot go over the number you have to be under it's not the closest is the closest under so six times or 24 so we subtract forget 5 6 times what gets exposed to 59 go to your head start somewhere so stop stop don't say anything on shout-out yet I'll tell you when I don't know where to start but I don't know where you first make your first mistake just choose a number what's 706 * 318 all that super small 360 so then you keep on telling yourself go higher all right on what 6 X 9 what's 6 * 9 we subtract that we get five and then the remainder bring it down 6 times what gets close to 50 hey notice in your head his mind he started going through all the different ones doesn't take that long for the eighth yet to 6 times what gets Us close to 20 Thomas said it earlier Forest 24 price you lost your car is The Price is Right to see people lose I love seeing that same thing Wheel of Fortune could go bankrupt yes I am dirty like that I love that keeps on going forever but this is supposed to be money how many decimal places is there for money how many decimal places nevermind what decimal places the penny so this right here represents money okay people are lost that's cool where you are after asking the questions here is here at the 9 does leftover remainder stuff right there we don't we don't want but we want to the nearest Penny but this affects it I don't care about what's behind here so anytime you're rounding off a number they'll tell you a place if they don't tell you always round to the nearest Penny will go over that's a lie that's another lesson that rounding off to much space tens hundreds thousands ten thousand million whatever place it wants underlined it then always look back to the one just behind it ignore the threes those are worthless cuz they don't really affect it when rounding off numbers just look one back if it's 5 or higher the number you want those up one it's more or less so less than 5 cut it off cut it off but since it's 8 that time to 5 that means this needs to go up 09 becomes a 10 so you put down a zero and carry over that one so I can of soda is about fifty cents so will that up here it's about $0.50 for one can of soda so that is the rate sorry for this crap Mets Triple-A. I don't want to care about that is what  about working all that working me explain let's look at it is trying to find the unit price the R8 price $0.50 for one can but remember unit rate is just this top number units rate unit rate is 50 Cent's find the rate which is over 1 set the top number for unit rate alright wasted enough time on this so that was pretty much the bare minimum you needed all the way to this unit rate will always keep working on so now we know what ratios are and how to do it that's why I had to go over this cuz we didn't have enough time in a brick-and-mortar like a brick and mortar so if you don't have this just coffee it down and I will put this video up fast forward all the way here in about after this in about maybe 2 hours after class ends if you need the video email me I'll send you the link to the link that's already in Zoom for free all right listen proportional relationships what a proportion is first it's a comparison 2 here's the thing when you get further and more advanced you're going to come it's for now it's too but when we get more advanced than or more you can compare three or four ratios butt comparison more ratios and here's another part of it is Pro portion when ratios are equivalent equivalent all right my handwriting all right so we're going to do that ratios remember how to read it all right one thing I'm going to give you I'm jumping ahead because it makes it easier we're going to need a couple of things so there's a formula it's a proportionality equation if all here's another waited this is another way this is the first food that we checked all the ratios are equivalent this is actually easier if you find a rule and all things that are proportional follow the same rule this equation y equals X and then what is k x transported right here I use a different one hey it's called the constants proportionality what is K there's a thing this is this right here is further get keba self will show you how to do that and a chapter or two along but all you do is this k equals why 2 X or Y / X notice this right here is that like a ratio I need to be up top on the bottom this right here is where most people mess up and get lost if things forget doing this you know we want to make Rachel's you can do that doesn't let me correct myself make ratios for make ratios make a bunch of ratios and then just divide all of them to see if the rate the same that'll say is proportion that's how you know it's equivalent is this if they all have the same K just divide this if they all have the same K that is correct so look at this y equals k x x + when we have a t chart notice I'm not even reading the story yet I'm just showing you the general makeup this is called a table chart but I'm always lazy and I call it a t chart almost all Math teachers do the same thing who calls it a cheap table chart super technical people horizontal or you go top down so what I'm saying is teach part you don't need to write this down cuz it's just cuts into space like they do XY and I got different spaces to put in numbers if I made this myself I would have been a t-shirt like this top down and filled in all the information that way so and in this case weight ounces is X cost is why this I tell people if they give you two words names whatever you want to call it X and Y there as a visual aid all right let's go read this a new self-serve frozen yogurt shop open this Summer that sells its yogurt at a price based upon the total weight of the yogurt and it's toppings in a dish each me Isabel's family Wade that should be there their own each their Saint Isabel is a he it could be as above so what they found determine if the cost is portional to the wait what is this mean that's why you need a real life example Yogurtland whatever where where you can't do it anymore cuz you get a cup and that's the funniest part of putting your own yogurt in there you want to try to make that swirl I know some people can't make that swirl perfect swirl menu then you go to the toppings bar and then you put in the gummy bears Oreo and some you like to mix those three things up which is disgusting I mean I mean like who puts who puts who gets chocolate yogurt and puts fruit gummy on their hands in their eating some good way so anyway all of these is the same for all that's means it's the same the same over and over again and I'll constant you know you guys in class is constantly asking me even though your camera is off I can't see you and your art at home what are you saying you can do if your cameras on do I see you and I don't know so constant over and over again that means if it's proportional this constant never changes if it doesn't change into the same for all of them it's the same selective this for all of these let's make this ratio will check to see if the cases so I'm going to flip it around Milo y over X first so these are all y over X so this one right here is 5 / 12.5 this one is 4/10 this one is too 2/5 this one is 3.220 / 8 you look at all these you're supposed to divide let me do this to put it in parentheses up here if you have a calculator which I'm going to cheat within a second always best but if not you want to simplify this one simplify he look if I double it that's the way to check same thing up here my ratios are equal but look at the facts are these equal to that or that these are easy what's 4 210 / 2/5 what's 2 * 245 * 210 equal but what do I multiply to do that I'm going to cheat right now you later so / 5 top / the bottom point for numerator divided by denominator 4 / 10.4 so both of these point four I'll tell you what that means in a second let's go in the story wait however much your cup of yogurt weighs your cost is going end up like this then who wasted time going only got 5 oz your yogurt cup cost to Bucks this person got to love it more greedy filled up with a ton of stuff a $4 pay that's true that 5 is half so if I paid $2 double that would be $4 I like that this person that 8 oz $3.20 greedy person usually the smallest person eyes are bigger than your stomach 12.5 Oz you pay five bucks is that she pretty cheap for yogurt how do you find how much anything costs I'm going to stop for a second we'll come back to this actually finish this first and I'll explain so when 4.4 divided 5 divided by 12.55 by 12.5 points for matches up 3.2 / 8 3.2 / what's 10 + 3.20 20 but Led Zeppelin honor / 3026 / 8 point four notice they all have the same K that means they are purple all the ratios look different if you got a calculator which we don't all the time you simplify it down you'll see that all of these become 2 / 525 all of them if that's the same they're all proportional the cost is proportional to the weight that's true. So what does this mean so what's think about like this cereal boxes of cereal I'm have that in my mind because I Safeway right now it's like for certain serious by to Sarah's get for free and one of them is Cocoa Puffs I'm about to hit me up sometime signature Fruit Loops are in daycare a box if I get four boxes four boxes of cereal at 3. So you times it by $3 each one that's your total price is $12 you you don't want boxes you want three but you want two boxes two boxes * 3 equals in 06 dollars and then you got Pedro who's greedy he wants like like 10 boxes who gets them boxes zero $3 that is $30 he's going to spend but spending total wise and going to make a difference cuz them what / Bakasura is $3 so all of these people got a different amount of yoghut but they paid the same price and here's the thing what's the price bison the same for everybody Point Farm what's point for $0.40 so * $0.40 * $0.40 8 * $0.40 is $3.20 5 * 40 cents is $2 10 * $44 12.5 * 40 cents is $5 everybody pays the same thing all right so follow this this the last we're going to do and then we'll call it a day because your homework all right follow along stop for a second I'm going to go over this this exercise 1 this is going to be your homework but in order to do that understand this but this example follows this one with different words in different numbers show let's read this Sullivan sew in the back of the box forget the book in the back of a box of brownies or muffin mix the blueberry muffins I love those except knowing that the blueberries come out of a can of weird stuff in the back of a recipe book a diagram provides easy conversions to use while cooking so cups to ounces this right here is called a root a number line or a ruler line model T chart table chart these are just like not like a ruler look at your own ruler if you got it one side is inches the other side is centimeters but they both start at 0 so 0 will always match up on the entry what's half an inch in matches but it's not true one and a half cups matches with 12 oz to cups 69 days to die here are the best ones to do cuz we don't have fractions I like everybody else but I'm going to teach you how to that's another part of this class you must learn to deal with office hours Fridays hit me up if you want some officers anyways about this guy remember this right here I'm going to put it even though it's up there and put away k equals y over X the same for all of them that's another way of finding your rate find your rating and all that do this right here all right so 8 / 1 16 / 2 hey look at this matches up check these two right here that 4 / one half that does not look good somebody yourself what is 1/2 as a decimal anyone who's listening what's 1/2 as a decimal if you don't want to unmute you can put it in the chat I sorry I didn't say I thought I did there in sorry I didn't see that 25 thank you leave in there just getting kicked out so 4 / 0.5 that's not nice how to space and this right here is 12 / 1 and 1/2 which equals 12 / 1.5 that's another way to do it at Wi-Fi let me know when you guys are putting it in the chat I don't always see this stuff cuz when I go full-screen cuz I got to look at what you guys can see so you guys can see it unmute yourself and let me know so my apologies so let me know alright so what's the weather this so 4 / 5 that's not fun to do I'm going to show you how to get rid of decimals on a fraction on a drawn Arrow I'm here for this one so4 / 0.5 * 10 what's up pay attention by show multiply $0.50 * 10 is $5 but then what you got to do 4 * 10 is 40 but here's another way. I want to move this decimal place back here one spot where's the decimal place on the floor or right here use different colors or so we can see our stuff technically for the same as 4.0 you move the decimal place on the five back one spot Indiana move the decimal place on a Ford back one spot keep it even 40 / 5 hey look at that what's 40 / 5 8 same thing and then look at this one right here we got 12 / 1.5 all right put a decimal place right here so move it back one spot there it is you got 15 move it back one spot it goes right here but what goes right here you have to put a zero placeholder so that makes it a hundred that's not fun to do but you can simplify fractions we already did that and I'm going to ruin it for you and tell you it's all of these are eight so it is proportional so ounces AR proportional to the cops okay we're almost done now let's go over fine fine fine I'm going to fast the second capital please let me know if I'm going too fast okay so we're not going to finish the lesson today but we'll get close to it. Is this this is... Your homework is this page let's read this from very similar using a number line ruler line table during Jose's physical education class today PE students visited activity station next to each station the chart depicting how many calories on average you would be cash would be burned by completing activities so this is Paris burned by jump rope so just doing a jump rope one time you put yourself X calories why just like the other one is the number of calories burned proportional to time how do you know how do you know me and show the work so we can all is here's your wise hearing your ex's it's a yes or yes or no show me the work yes why yes would or no would be based on your work and then down here I'll give you a hint for this one it's Jose jump rope for six and a half minutes how many calories would he expect to burn there's a shortcut you find your k 6.5 is somewhere on the number line right here 6.5 you are looking for this number right here and that is the answer you're looking for that number in the Box on the line right here or what you do with that 6.5 let's go back and I'll show you back with the last but I'm going to go back to this once you find k for anything right here once you find k for anything you could find your why so up here X versus y we have the X what is the Y remember the equation y equals k x a you finally KS times about your ex you get your wines input output example I'm going to do up here one number that doesn't appear here let's say you got your nuts let's say I will be Saturday this people which I probably am Family Guy 15 .75 oz of yogurt how much am I going to pay what we already know how much 1 oz cost for the sense that is the rate so we find what each K is constant of proportionality we sign up all I do is take my 15.75 * 5.4 I get how much I'm going to pay for yogurt I don't be lazy calculate cuz you're running 15 75 * .40 $0.40 I'll pay $6.30 for my banana and chocolate yogurt mixed us the top of coconut shavings awesome sliced bananas almost done break room I want to go let's finish this one for sale right here you find what they K is let me see what time I don't think so let me stop sharing where can a 15 minutes early show actually yes if if you guys are think you're good you're good and can do this on your own if you want to go to a break room I'll set it up I will and the class at 2 but if you guys would like to try this exercise together do it together go ahead if not good so I'm going to set up break rooms go to them help each other out if you want if I'm going to do four rooms I'll break it down to three rooms of people start disappearing all right go to the rooms if you want to work and get this done upload this upload the all I need is a second page all I need is that one page upload that by sometime tomorrow I got what time in office hours tomorrow email me to set up a zoom room if people want to do an office hour alright go to rooms David Ariana go to room Ariana go to room at send living room mother movie as in thinking yeah I want to go to another room all right I'll send you another one make sure my group is anyone doing nothing for the music and all that are you insane cuss words in Spanish I'll find you another spot try this one what's up what's up alright Matt so long does everybody have that page me and my brother don't can page on the packet let me go look I got two minutes to give me a second were you able download at least look at it on the website even have a printer either don't need to print it out you just need to look at it on a piece of paper so let's go to be able to get to it unauthorized access what happened module 1 all right CU students alright so here's where you can get it so let me go show no shirt training I always go to StudentVue StudentVue so you can see and then scroll down to lesson number two we're make it easier next week and then less than two packet and then it's up here here Simon lesson 2 packet is up here and then you download it save file right here or you can open it up with whatever things says the open it up with but I'll open it up with this right here get my mom when she goes to work and she can print it out yes I'm going to put up lesson 3 and 4 lesson 3 and 4 high today so she could print it out for next week so I'll put that up soon just keep on looking back and you'll see the new lessons will be up soon so here's the second yes you can leave we're done if you're done you're good

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Math 7 - Module 1A - Lesson 2

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