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Math 7 - Module 1D - Lesson 17

Added Jan 07, 2021 •

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How do you find the SCALE FACTOR? How do you use the Scale Factor, SF to show a drawing is a scale drawing/proportional drawing or not? Given the Scale Factor, SF and the Original Measurements/Length/Distance, draw the NEW image as a Reduction or Enlargement based on the Scale Factor.

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the unit rate as the scale factor remember what the unit rate what unit rate is just some number over one that's the unit rate a fraction unit rate how do you find the unit rate is a special form of the constant of proportionality will get back to that and a scale remember scale the scale is just the lower this letter are we'll get to that but you know most of the time we got this scale factor scale factor remember as poisonous as math people like to be lazy we like too short and everything I don't want to write the whole word scale factor let's just call it that's our scale factor and will describe what that is like doing these problems so let's zoom in on this right here one more time all right let's do this problem so example 1 Jake's icon Jake created a simple game on his computer and shared it with his friends to play they were instantly hooked and the popularity of his game spread so quickly that Jake wanted to create a think of Icon so that players could easily identify his game drew a sketch a simple sketch from the sketch he created a sticker tour to promote his game but Jake was quite sure if the stickers were proportional to his original sketch so a proportional drawing is another term for scale drawing so it means all the sides need to match up with the same proportion all right to his original sketched so we're comparing original sketch is sticker to his original sketch and we're going to go over all these little things right here so don't worry too much so let's look at this diagram right here someone said all right let's let's go through this so someone wants me to explain what this is about the whole thing is just the story the story is to set up and get you at least to relate and understand what these two things are so Jake made a video game each one of you guys can I see make a video game most people want a program for the pretty much at the Apple apps vs Android apps people say programmer for Android is easier what the program is but I know programming for a an Apple iPhone or iPad app is caught using python you can download you can even look at YouTube tutorials how to program it so pretty much what Jake did he made his own app shared it with his friends but it got so popular he's like I'm letting people steal mine she had to make an icon on it to say this is mine look for mine don't get lost in the Apple Store the app store we don't know if it's a plan. You guys can do this and you guys can make a ton of money when you guys have some how many years ago was it when you guys were a baby let's say one or two years old there was a game called Flappy Bird Flappy Bird was one of the Thomas games ever but yet the guy made a million dollars in a day because it got hyped up on some viral look at it Go YouTube Flappy Bird was 99 Cents for that game all it was was you pushing the button the bird flapping and going through yet I know some people never played It clown yes cuz you guys has little babies when you had your pain I thought you play that you have a button it's it's goofy it's stupid but he made such a simple game some guy made it and he made a million dollars in a day went viral and everybody ended up buying it and she made a ton of money and it freaked them out it was a guy in Vietnam so it's some guy in Vietnam who who make program sake bird this is what you guys learn math to do programming is just understanding how to put numbers and codes in order like Math typing and it's a little bit English to cuz it's right knowing how to write writing code is Right Noah how to write a new language in sentences that's what code is a type of a sentence which uses word letters words are commands numbers and Learn Python you can make a game set 99 Cent and hope that it goes viral and boom you're millionaire you should come back to school when you see me in person in it and he's had look at least I got zillions of data just got nothing you still teaching making pennies I'm sorry for ever hurting you and hurting your feelings sir or Madam can I be your beer employee just pay me a ton of money and I'll bring you coffee every day that's what I want from where you guys invent the game you guys don't know how many of you young cast right here that are learning programming that's why we have all that stem stuff stem is science technology engineering but now they change it to steam I forgot what the a stands for analytics I don't know but all this stuff is just learning how to program up programming language it's a brand new learning a foreign language in a learning how to speak in the order that's a programming is learning how to write in a certain order and you make a game all you guys could do that you don't have to be a game maker you can think of other apps there's the exit exercise apps in a learn how to make a nap and figure out which some people just search for recipes that's not a video game you're just searching for recipes I need to know all I can do is make an app sell it for $0.99 hope that it sells like gangbusters boom you man you guys are smarter than me you will be smarter than me make it happen make a ton of money but the whole thing is don't want people to copy you people always want to buy the original no one wants to buy a bootleg pair of Jordans you want to buy some legitimate Jordans so that's why I cuz you got marker you have markers markers are like Simba the tell you it's legit so Jake right here draw a diagram of what kind of generic logo is this for his I'm going to make a cube whatever but this is just the story and they're trying to get you to understand so that's what most people sketch things out small little thing and say sticker look at it is bigger so sketch but he wants to make sure that it is proportional a scale drawing so before we move on you need to understand proportional drawing is it means the matchup for all the size you got to think all right I use the fun house though those of you guys that are going to that that's sketchy Carnival that's that used to always be by the Oakland Coliseum there's always the fun house the fun house mirrors so there's a mirror that makes you look bigger it magnifies you makes you into a giant Uno it turn in O Brien from from what it what are you four foot six tube like a like a seven-foot-tall giant it just magnified you so that's proportionally enlarging you making you a giant and then there was though the mirror the track you down super small deuced you but it didn't change the shape of you just track you down so that reduce that mirror reduced you that's an enlargement versus a reduction but then there are the other mirrors that distort it still you but instead of you that you're made you like to know which little midget looking thing like a scrunched-up chubby thing y'all gon that mirror that distorted you it's still you but it didn't shrink you the correct way so now you look like a like a small little troll that me returned to his truck or there's that other mirror that made you look wavy it's you but it doesn't match the real you because it's no longer proportional it's distorted so what Jake is here saying is this one a distortion is it really matching this or is it a distortion so there's a difference so we're checking to see is an enlargement or reduction also is it an actual proportional scale drawing or a distorted they we don't use that phrase we only care that it's a scale drawing but the other term which we hardly ever used as that it doesn't match up the name for it is a distortion it looks like it but it's not scaled so let's get on with this easy the work is super easy so first you got a t chart we got in an original sketch sticker sketch so original I'm lazy I don't want to call original original I'm seeing a call LG the original so we have one side for the original and the other side we have for the sticker and the sticker I am going to call it the new side cuz its original versus the new end up here it's move out on some your scale factor is actually a fraction a proportion scale factor is your new over your original butt I don't want a rider isn't on lazy and we're going to go OG scale factor is always attraction new over OG I think about this this is X this is why so it's y over X we're going to come back to this we're going to come back to the XY ignore it for now we're going to come back but OG versus sticker so we got a match corresponding sides and that was from last section so what's your view that so let's see who's been paying attention so we got the original let's list the original then we're always going to one back-and-forth OG to new OG to new so this right here that one the .75 in matches with what type it into let me know you're paying attention .75 matches with what in the other picture in the sticker so if its 0.7 5 what does it match up with correct I need a couple more people so you go from one picture to the other so here is 0.75 what does it match with on this side so at least yeah .75 matches with what so look at this .75 is connected to 7/8 but it doesn't match with it so when I say match correspond with corresponding needs matching .75 corresponds with this right here 1.5 now let's go back to your 7/8 then it's alright fine look at the Sears 7/8 7/8 corresponds with what type it in typing and people I want to see what's playing at tension cuz I need to see if you know how to type in stuff 7/8 corresponds with what good one not 3.4 but 3/4 excellent good job guys 1 3/4 S I don't like it's numbers will deal with that later and then let's look at this this one inch 1 inch matches with what excellent good too but look at those two two it matches with this to and then this one inch matches with this to in so the whole how do we know how do we know how do we know if it's a perfect scale drawing if we if all the sites of how do we check to see if it's a scale drawing look at this right here so what do you want to check our scale factor let's do that scale factor what is our scale factor scale factor equals? And we haven't up there in the notes Let Me scoot down and scoop back up yes you are correct that is enlargement how do we check that so looks scale factor is new over the original so let's make all these right here here's the new side who's the original side 1.5 0.75 keep on doing it just finishing something I want to say to you guys a lot E I see things like this oh I don't want to do it and give up cuz I don't know how to do that but finish writing the work all you need to do is just copy this form who cares if you can't just finish it yet just write it all down then decide if you can or cannot finish if it's new versus old just 1 3/4 / 7/8 that doesn't look all that but we can still do because this right here these two are super easy new over 2 / 1/2 / 1 those are done 2/1 both of these what's 2 / what man that's easy right there 2/1 that simplifies to 2 and that number is your scale factor but let's check the other ones if it is a scale drawing of proportional drawing all of these end up becoming too I can't do this I can't do that yes you can let's go back to stop this was actually the easiest one but compared to that one I think so we got a mixed number refraction that doesn't look good let's move this to down here we have more space to work with 1 3/4 / 7/8 let's change a mixed number into a fraction remember change it to a fraction 4 * 1 is 4 4 + 3 excellent good job 7/4 * 7/4 / 7/8 this is what was called a complex fraction man a lot of guys boost and messed up you guys made it super complicated I need you to remember this a fraction line is another way of writing what type of a problem fraction line is another way of rewriting what type of a problem good excellent division a lot turn on your final that's stuck right here which was still did I gave you half credit you got half credit just forgetting to hear so you all you needed to do was change this into a division problem 7/4 divided by 7/8 now instead of having a weird looking complex fraction I have a division of fractions which so many of you learn to do and can do but you just didn't know how to write and you can get that was the hardest part once you got the here most of you guys remember which was excellent dividing a fraction a set of fractions is the same thing as multiplying multiplying by the reciprocal so you change a division to multiplication and the reciprocal you inverted yes that's right and you get 8/7 and all you do is multiply straight across 7 * 856 * 4 * 728 and you simplify this fraction hey look at this both of these I could / 7 a / 156 / 7 I get 828 / 7 I get or what's 8 / 4 2 / 1 which is the same thing as too this messed up looking fraction is the same thing is that all it sequel this is to this is to this is too I just need to check that one right there I said the decimal last because Latias forgot how easy it is so I'm going to do that one over here so we got that's 1.5 / 0.75 1.5 0.75 why do you guys forgot how to get rid of decimals in a fraction to just make it a fraction some of you guys remember which was good I saw it on the chat I acknowledge you so let's look at this here's my decimal here's my decimal why do I do technically all we're doing is multiplying by 10 when we do what I'm about to do next all you do is hot or skip soap to make one point where would the decimal have to go to get rid of it would have to go to the behind the number so I would move it behind it would end up right there that's where my new decimal place would be so I have a 15 point but it says 15 men what what you do on one part of the fraction the top you can do the bottom so here's my decimal right here I got to move it over one would be right there in between so I would have instead of 0.75 I. the decimals right here so it's 7.5 so I got still have a decimal but then I don't have one right here I put a zero placeholder let's move it over one more time move the decimal over the decimal over once I have a 150 / 75 what is 150 / yes thank you I'm awake thank you three people who are jumping ahead what is 150 / 75 for the rest of you type it in if you can think of it fast 150 / 75 with that said that's why I need you guys to play those eyes Freddy games Freddy games are meant to do this good good good two more people the i-Ready games are for you to make your mental math go faster if all you do this year is play the i-Ready games and take your  I don't want that but your your mental math skills get better and faster your the rest of your mask is will get better too if all you do is play though I ready Math Games the stupid shooting Stars that was so annoying or going to the hoops I'll take that I'll take that good a lot of guys saw 155 I-75 look is 2/1 which is equal to what this is equal to 2 all of these are equal to 2 so you have what's called a proportional scale drawing or scale drawing or proportional drawing that's all you got to do. to see if it's a scale drawing if any one of these doesn't match up you have what's called a distorted image it's not it's not a proportional drawing it's not a scale drawing it's a distorted drawing so take this all right let's go fill in this note we're going to come back. If you have this keep it cuz we still got to use it is it on the next exercise you're going to use it in the next yes alright alright I'm going to go back so someone saw something else here's how you can check your answer I'm going to use yours another way you could have done it you could have checked to see how does X become why cuz remember we have the equation this leads on to the next thing when we have k equals y over X we have that that's what we do did we did y over X for all of these to check to see if it's K here's another thing you could have done or X x k equals y you can fly find out what your cat is does extra with all of these have the same K that's why it's called the constant of proportionality if all of these use the same k disproportionate look at this right here so good thank you for bringing up again I saw that earlier I just forgot about it how does one become two x 212 comes to buy x 2 how does 7/8 become what did we change and we change it 7/8 + 1 + 3/4 + 7/4 + 6 that equals 7/4 but let's do this first if I double $75.75 * 2 the dollar fifty 7/8 * 2 does that get me 7/4 what's Checker answers over here 7/8 time to remember when you multiply fractions both of them need to be a fractions or put it over one 7/8 * 2/7 * 2 is 14/8 * 1 what time is 7/8 times yes right that doesn't look like 7/4 but remember we always got to check her fractions and simplify 14 over 8 good someone says you can divide both of them by 2 cement job we can make equal fractions by multiplying or dividing by the same number so we're going to divide by 2/2 which is a 114 divided by 278 divided by 2 8 equals 7/4 / x 2 so notice all of these right here RK so X and this middle line is x k equals y if you're able to figure out if it's X the same thing to get this new thing Dennis Creek it's also be divided we're going to go over that in a second. Let's do this right here let's fill in our notes we're ahead of time what's not wasted finished early and get a little break so steps to check for proportionality or scale drawing and a person object or picture kind of confusing but steps how to do the work the step one I would say did I have a head actually good words are here I'm worried wonderfully where did I put it I was going to record the length record the lengths and I used to distance cuz that was what was in the in our in our standards in our outcomes distance says the original original original drawing in a teacher that's what we did recorded the original lengths in the T chart next thing you want to do cord the and I'm going to use the word new cuz it's the other picture it's either going to be a reduction or an enlargement record the new lengths flash distances so we know in a of the other drawing for the new length of the other drawing and here I'm going to change it up I'm using Bluetooth in corresponding order the first one doesn't matter cuz it's you know you just got to follow your first one we record the length of the original drawing of the length in a t-chart but the second thing is to super careful you record the new length and distances of the other drawing in matching or two corresponding order I asked you guys to I know someone last I'll fix it I thank you so the second one is very important cuz what if I asked you to measure all the parts of you verses taller picture reflection of you so you want to go match feet with fee you don't want to mess your feet to the size of your head those two parts don't match up I measure the left side of the picture in my new other picture I got to match it with the same left side so you want to go feed the feet arms to Arms you don't want to go finger to nose those things don't match up so that's what corresponding means we got this original one whatever or do we have to have our new measurements matching in that order and after that Ross Park Zoo Breezy Shack 4 the constant proportionality this is like chapter 3 and 4 stuff right here how does all the stuff match up let's do it under here. I'll give you a second the coffee I'll let you catch up that's weird all the stuff disappeared all right so the constant of proportionality that's why I math we hate writing long things when we see that we change it to a variable constant personality if you guys were was the letter k what does k equal y over X Y / X Y / X we had a new fraction. when was new over OG are the original new over the original what does new over the original mean that means it's the scale factor I'll put in parentheses cuz you know what's the scale so all we got to do is check for the scale factor check for any of these which are the corresponding boom it's the same so right here the scale factor can be calculated from the ratio the scale factor can be found from the race of any length in the scale drawing to its corresponding lengths in the actual drawing hey look at this scale drawing to the actual new over OG so I translated that right here let's go back this Factor SF is equal to can be found calculated by making the fraction the ratio of any length of the scale drawing the new side to its corresponding matching side in the actual picture the OG one the scale factor corresponds to the unit rates and the constant of proportionality it's the same thing it's the same thing it's same thing it's the same thing scale factor is greater than 1 enlarged is a segment so you have an enlargement when the scale factor is bigger than one AR last one scale factor was to be doubled the size the scale factor when it's less than 1 is reduces the segment a reduction all right so I'm this one right here what's the OG and we got the new here's the new we're using the same one that's why I said try not to lose that other one right here so if you didn't have it could recopy it on here from your notes right here let's move them over let's scoot over so you're going to try this on your own are the OG here's the OG picture if you need to see it is the original picture there's the new picture and you already got the length for you for the LG so you can copy that down but on new one I wanted you guys let me give you a minute to fill this chart up and if you want to go ahead and see if it's proportional figure a scale drawing to go on ahead but I'll give you 30 seconds till these two columns up Duets so you can learn don't just watch me I see some of your eyes you're looking at a screen you're looking at your watching a video Netflix Hulu I still haven't watch High School Musical the musical I refuse to do that but I did watch Soul over Christmas break I like that better than Wonder Woman God I wasted almost 3 hours on Wonder Woman horrible horrible but Soul was great I like soul it was a fun movie but yeah Wonder Woman fill it out I still see your eyes watching your freaking show you. yeah I watched it that thing was almost 2 hours long of why what is it was almost the same movie the bad guy was the Mandalorian same actor I finished watching the Mandalorian to that was awesome sorry I'm going to do back in most you guys at least copy down the original most guys said you are done thank you for letting me know so let me call down my measurements I'm going to go with my OG I'm going to color coordinated again 0.75 I had 7/8 of drop my red 10 let me pick that up 7/8 and then I had the blue which was a one and then the maroon which is a Wan all right let's match up the size to the newest go side-by-side let me zoom in because I have no space right now all right so here is my 75 my .75 corresponds to 380 a decimal to a fraction that's not fun but we'll deal with that when we get to it gelati guys would stop right now so now I got a decimal and a fraction I quit no get as far as you can all I'm asking you is match it up 7/8 here's my 7/8 that matches up with this notice how it matches corresponds to 7/8 corresponds to 7/16 and then one corresponds to and then this one corresponds to this one half is this a scale drawing how to get rid of this page cuz I'm done with it notice when you have all your information or what are we doing what are we doing we're looking for two things we're looking for the scale factor and you got to remember we're look at the scale factor ? is the same thing as k what is the k and I will see notice how does one become 1/2 how do you go from one 1/2 and that's the easier one that it's the shorter work it's the hard way to think it through I just ended up doing it there's no way who taught me it says hi just doing the work you end up learning math by just doing it watching it doesn't do anything watch you think I do I get it but if you don't do it your stuff how do you go from 1 to 1/2 it's actually the less lot of work but it's the harder method so I'm going to go do the longer easier way first and then we'll use the harder shorter way to check her answer so SF you got to remember the scale factor is equal to over old sofa for all these just rewrite it knew of hey let's start at the bottom cuz that looks the easiest to do so new over old 1/2 / 1 over one both of these are identical what's anything over 1 both of these simplify to just 1/2 there's our that should be our scale factor what's check is this 1/2 so let's rewrite this first here and then we'll do our work down here new over old 7/16 / 7/8 and why rewrite the complex fraction let's go straight and rewrite it as division go down here instead of writing it as a fraction I'm going to go 7/16 Guided by 7/8 let's see if we get one half first fraction stays the same division becomes multiplication and then we invert flip we make the reciprocal of the second fraction 8/7 I'm going to show you a shortcut I'm back alright here's a shortcut so I'm going to rewrite the order so instead of writing it as 7 x 8 I'm going to write it as 8 time 7 over 16 * 7 so the only thing I did was flip the top 7 * 8 is the same thing as 8 * 7 they both show me 56 but I'm not going to write 56 16 * 7 + 16 * 7 hey look at this if I had a fraction and I wanted to make an equal fraction remember I can multiply the top and bottom of the same number 8/16 * 7/7 hey why make it bigger I'm x one I could technically Jess cross that I'd say that's the one that's 8/16 * 1.8 over and I can simplify 8/16 say thank you hold on you got it right let me go keep on explaining it good job you saw it what does 8/16 simplified we can make equal fractions by multiplying by the same number but it's the opposite Works to we can make equal fractions by dividing by the same number both of these can be divided by 8 8 / 8 1 16 / 8 2 we have an equal fraction 18 / 6 8 / 16 equals 1/2 hey look at this so this whole messed up looking complex fraction which change it to division change it to multiplication and then we got a fraction in simplified it and we've got it to equal 1/2 1/2 1/2 1/2 we just need to this one now that looks not fun to do let's change this decimal into a fraction this was actually pretty easy does anyone remember or no 8.75 as a fraction is put it in the chat I'm going to take the first correct answer .75 as a fraction what is 2.75 as a fraction think about it think about it as money that's $0.75 $0.75 out of what what is $0.75 intendant Honda by 375 cents is not one but yes correctness 3/4 3/4 another way of writing 3/4 is 3/4 versus 1/4 75 cents out of a dollar is 3/4 of a dollar so new vs old so we just changed this into this and turn the format so let's go read is it as new over old that's not hard to do let's go quickly and write it as division 3/8 / 3 Lourdes flip-it 3/8 * 4/3 and let's just multiply cuz it's small numbers 3 * 4 is 12/8 * 3 is 24 look at this is 12 / 24 thank you how many more people have to wait 12 / 24 simplified to yes 1/2 what is this new over old one new over old 1/2 new over old we sought 1/2 1/2 boom done. Here's the quick harder way that was easy long way the hard way is always look remember this is X this is why but you have the equation x x k equals y and that right here comes from this there was another equal we have k equals y over X but there's the other one you could use x x k equals y or k x equals y sometimes a on this Slide the column but this way is easier for people to see 1 * 1/2 one time is 1/2 what is 7/8 * 1/2 hey look at this how do you multiply fractions straight across look at this 7/8 * 1/2 7 * 1 7 8 * 216 x 1/2 3/4 x 1/2 3 * 134 * 2/8 Cupquake that was the harder way is always the shorter way but it's hard to see for a lot of people I always got it yes you can hurry up and come back that's why I was at a show long way the Long Way shows all the steps mostly everyone can follow along the hard one I used to check look at this. How would you know what's 2.75 * 1/2 Gets Me 3 yeah see that's why it's a little harder to see and you have to see that 7/8 duxelles or mean * 1/2 is that c little bit harder all right let's go to the next one I'm going to do the exercise first so I'm going to do exercise on the switches run so you see this is example and this exercise I'm going to do the exercise you're going to do the example cuz I think it's easier so for this you need a ruler hopefully you have a ruler if you don't have a ruler and I lost my ruler again the second time today I hear it is so let's read the instructions in the first one use a scale factor blank to create a scale drawing of the picture below so now I give you an original picture the flag of Colombia if you download it I left it in color so this is the Colombian flag it's yellow blue then red you got a big block that's yellow a little block that's blue equal little block that's red but you can't see just got Shades so we're going to do this one down here so look at this one right here the difference use a scale factor of 3 to create a new drawing the bottom has use a scale factor of 1/2 to create any drawing hey look at this my scale factor is is my new drawing going to be a reduction or an enlargement type it in before I move on so this right here I'm doing this one scale factors 1/2 is my new drawing Colombian flag going to be an enlargement or reduction based on this information right here good correct someone paying attention that's a super easy question yeah my scale factor is 1/2 in tent how does it compare to the number one remember why would the scale factor be making an enlargement why would the scale factor be making it into a riddle the one half will tell you good I got two answers I need one more answer the scale factor is 1/2 my new drawing is it going to be a reduction or an enlargement of the scalp 1/2 good job so let's write that down so sketch and notes so first was put down her notes scale scale drawing will be a reduction scale factor equals 1/2 and 1/2 is less than 1 1 Hat when your scale factor is below 1 you have a Dakshin so we know that's going to be reduction so Step 1 find OG measurements does finder OG measurements so we use a ruler to measure all the pieces the visit my ruler so here to here is one inch we go over that's one and a half so let's put 1.5 in and on your picture up there cuz you're going to do that in our own so we don't want to waste time so on the same spot and your other Colombian flag up here write 1.5 now it's measure the side of a flag look at the size of the side of the flag is 1in long but look how the colors are also cut up so the yellow blue and red Let's Go Blue Sears red yellow I'll use the maroon now it's too close to read I'll go purple so look at it the whole thing is 1 in whole thing is one but with the other pieces this little piece the yellow The yellow section of the flag of Colombia let's go decimal point five inch and down here the blue and the red look at that here to hear here to hear that makes 1/2 inch but it's cut in half so that's a quarter inch so that was you two colors cuz that's blue the blue part of the leg is .25 in and the red part of the flag is .25 in so those are the measurements of the flag of Colombia I'm about to make a t chart find OG measurements into T chart let's make a t chart OG versus new and this is super simple so let's go look at her measurements so we got one point five I'm going to ignore the one that's why do I need the one for cuz if I do all three separate sections and connected the same thing so the orange part the yellow part is 5 the blue part of the flag is .25 and the red part of the flag is .25 also I do not have the new flag so I don't know the measurements of the new but what I do have is scale factor and that's why I did that other piece of the problem does this come from remember I have the other part is this is Matthew's black if this is a and this is why I remember this x x k equals y so the next if I'm asking you if I give you the original drawing and the scale factor the next set for this for the notes to find new new equals G time's the K but we don't have the word the letter K we have the scale factor so let's put that their equal is the OG X the SF the scale factor so for all these These are super easy so far if I'm asked you to make a new drawing you still do fall draw This Not That take your digital number and x 1/2 all of this these are all decimals no way well answer this then so since I got the moves for onmyoji and my scale factor 1/2 is 1/2 as a decimal type it in I want to know who knows what is 1/2 as a decimal what happened that super easy what happens to a decimal 1 half half half half yes .5 so instead of using 1/2 all we're going to do for all these * 5 so what we're going to do to find the new the new all we're going to do is 1.5 times the scale factor summer bring that down scale factor SF equals 2.510 g * k o g * 1.5 * 5.5 * 5 .25 x v this is way easier than the ones we just did and all we got to do is the calculations off to the side let's do that right here 1.5.5 multiplying decimals 25 tarea to 775 oops sorry 75 no don't forget we got two decimal places or answer has two decimal places OG 1.5 becomes .75 .5 time point five 5 * 5 is 25 but I got two decimal places so it's two and then .25 * 5 .5 I got three decimal places 5 * 5 is 25 carrier 2 5 * 2 is 1010 + 2 is 12 125 but I got three decimal places in my work so my answer has to have three decimal places so let me make my new drawing so my new length of my flag of Colombia is .75 in so that's 3/4 let me do it right here 3/4 of an inch that's from here and then this right here .25 cuz that's the side right here 1.125 / 125 together that makes .25 but you got to punch you 5. half an inch so now I got to measure that 1/2 down and I just either side look at that my almost new flag of Colombia I went from here to here so instead of 1.5 it's 75 instead of one in it's a half an inch but let's cut it so my new piece instead of .5 is .25 and my red and blue gets cut up right here also so my new flag of has been miniaturized we got pretty people in Cologne but the World Cup team boo boo so who cares what what you think I just said that this is that not the truth get out of here who is good nobody Ecuador is better than Colombia and Ecuador is good Argentina get out of here with that alright so please please message what time it is that's all right so take a second out okay sorry sorry sorry so this one right here you're going to do by yourself or we could do this together in academic support if you want but look right here I'm going to scoot down cuz I want to go to the next page and do well one of those scale factor is 3 because it's 3 is in an enlargement or reduction excellent you got that so it's going to an enlargement but I'll start this out for you so let's rewrite all these numbers right here playing 5.25 .25 let's make a t chart again we have our scale factor let's write this since it's stuck up here in our said anytime you have information stopped in the sentence pull it out make it easy for yourself to see even though it's a scale factor of 3 pull it out SF equals 3 so you never have to read all that stuff again now you have all your information in your picture and all the other information down here so you can make your teeth chart super easy now OG has been you so let's put down all Rog stuff and this one super easy that's why I saved it for you guys so 1.5 and then we had a point five and then we had a point to I think about .25 like quarters and I am going to add a zero right here instead of sticking to this point five think of it as $0.50 instead of 1.5 think about is a dollar fifty or scale factor is 3 remember to go from OGG to new is OG X El Factor equals the new so you got to sing make your teeth chart once you have your teeth chart get your ruler and it's going to be an apartment finish this later on for yourself I'll let you copy cuz I want to move to the next page at least do one of these before we finish up so yes original times the scale factor like scale back is just a 3 to find your new numbers and do your brand new drawing of the flag of Colombia but Columbia has the most winners I think of the Miss Universe contest so Hannah all the beautiful ladies, Columbia not from Amore recalls example 3 exercise 3 they're very similar let's look at this right here let's read it quickly and at least set it up so you can try and do it your fam recently had a family portrait taken so you made a family picture your aunt asks you to take a picture of the portrait on your phone and send it to her yes that's a cheap people take a picture of a picture we do that at Great America at Disneyland you know it's a little after you ride rides and take your picture when you take a picture for picture cuz you want to pay for it we all do that are cheap if the original portrait is 3 feet by 3 meet and the scale factor cuz now it's on your phone you took this big giant square picture that's 3 ft by 3 that's huge and the scale factors 1/18 draw the scale drawing that would be the size portrait on your phone so first even though we can't draw the real picture you put a sketch down you know it's going to be a 3ft by 3ft portrait it's asked your family picture is huge that you're going to put over when everyone walks in your house you can see you standing right here your cat and daughter right here Mom and Dad and their little ugly sweater Zenith Mom and Dad's letters and then you're wearing them what's better to say I got a lot of guys looking away I'm going to your house by your family portrait all right so now you took a picture on your phone and you're going to have to figure out what 1/8 of it is so you got to think OG two new now the OG is 3 ft so remember OG conjure scale factor equals your new and a scale factor right there it's 118 so it's over ductwork shrinking it down so we're going to * 1/8 1 18th of 3 ft I don't know what that is 3 ft / 18 that's pretty messed up deal with all right level it's a deal with this so if its 3 ft 3 ft / 1 18 / 18 3 feet divided by 18 what are newest but here's the thing 3 ft / 18 that doesn't come out right so let's convert this is a conversion problem this you learn last year let's change feet into inches how many feet I mean how many inches are in 1 foot typing and hurry up we got just enough time how many inches are in one foot good well if I have 12 inches in 1 foot and I got 3 ft how many inches are in 3 ft excellent someone's quick 36 1 foot equals 12 in all right back down so 3 feet 36in so I change it it's an equal fraction what's 36 divided by 18 36 / 18 good to in over 1 Song my new thanks so 3 feet is my OG measurement my new measurement instead of this weird messed up fraction is 2 so we convert 3 feet to 2 in Suite so now all we got to do is make our drawing if your aunt wanted your picture that you sent her your new picture that you send your aunt is 2 in let's make a square like that so we went from 3 feet 2in by 2in square so your picture with you and your parents matching sweaters your cat your dog your your your pet rabbit this is the actual size of the picture you sent your auntie so here is your dad he's sad cuz he has to wear the sweater is your mom happy what's a hold your dad time buddy lift it up is you looking down is your dog is your cat cuz your dog just killed it can I don't know what else you have in your house but anyways your family fortune is a 2 by 2 so this is same thing exercise 3 try it out if you guys want to go over these other ones I will be in that makes support we could do the rest of those and then heck we could even do the homework together there if you want or I teach something else that's totally brand-new it's up to you guys if you're going to show up there are not homework is in the mall

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Math 7 - Module 1D - Lesson 17

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