Ask Mr. McLogan + Math Q&A

all right what's up ladies and gentlemen time for another live stream and I apologize I have not been consistent with the live streams as I once have been it was very very easy to always set aside Sunday evening at 900m I'm going live and answering your questions going over some math doing some topics but it always things change you know and you have some kids and then your time is very very difficult to be able to set aside an hour for going over a live stream so I do apologize for that but I do want to get your questions so if you have any questions feel free to add them down into the chat and uh I would like to resurrect this as I'm coming through we're going to you know summer vacation we got you know things going on and I know it's busy and not a lot of people have math questions uh coming up but there are some things coming up in August that I am going to be very very excited to let you guys know about some different opportunities where I will be kind of moving some of live streams I'm still going to always do these open q&as on the main Channel but uh I just wanteded to afford opportunity for students that want to go a little bit deeper with their questions or answer some math specific questions that they will have the opportunity to go ahead and um post them on not only on YouTube but a um other other opportunities where you can have a little bit more of the time because in reality the time is really kind of the most important aspect uh for me right now I still really really enjoy making math videos and I'm looking forward to continuing making some some more math videos but um the but I gotta be a little bit more strategic on uh on where I'm putting these live streams and and at least strategic with my time and how I'm going to be placing everything from on there so hope you guys are all doing well and shabna books for in my opinion I'm not really sure exactly what your question that you have do you have a question that you want some advice on questions or whatever else um I'm not really sure but if you have any math questions or anything else coming up from the summer um that you guys like some advice I really do like going back over them and one thing I was doing you know recently is I was taking some of these and you know putting them into shorts and it was all dependent on really the questions that you guys ask and it's funny because one of the most common questions I get asked I think I probably made a ton of shorts you know on it is always like how do I get better in the math class or how do I you know do do well in this class whatever may be the case and uh it's always the same advice every single time you know but uh but there's also some really really good questions that people bring to me that I really enjoy enjoy providing and and I used to do a lot where I would be have them kind of vetted first before I went you know live but I really actually just live I really actually just enjoy going off the cuff and like whatever you guys provideed me then I'll just go ahead and talk and answer to the best of my ability uh sot how do you prepare for Math and physics Olympia together well I I think you just really need to you know separate your time that you're going to focus on one and then set aside some other time that you're going to focus on the other it can be a lot especially for you know Olympiad you know training but I really think if you can just be consistent with the time you're allocating for each um that's going to be your best bet you know set a schedule um adhere to that schedule and be consistent with it and I think you'll um you'll do great could I say the name Osman sure yes tell me again how I submit video Suggestions by the way I am having a bone fracture I'm still doing math cuz you awesome um sorry to hear about the bone fracture but so as far as the video math questions um I I don't want to waste people's time with submitting math questions um because I'm not going to be able to do them on these streams it's just it became too much and um I do have another opportunity that I'm going to be provided but I will have that as the new school year comes up I'll have some more information on that because I the the only thing that giving you a math question or giving you an answer to the math question the only time it makes sense is if I can give it if I can respond to it immediately and I used to be able to do that when I did my live streams every single week like I would go through sometimes 10 to like 20 questions it would take me like hours going over them um but I just don't think YouTube is the correct platform for that um I want to make sure I can provide you guys value and get you like a timely response so I'm gonna have some more information coming up on that but for these live streams it's much easier and faster for me to be able to just answer questions that come through on the chat so if it's around mathematics or around learning or education whatever else put them down in the chat and I will respond to them but if it's actually like a math problem or you know something like that um I'll have some more information coming up because I think I have over like a hundred math problems that people have sent to me and I'm like I mean I can do a live stream but it's like you know it really is only helpful if you submit it and you get help with it immediately from that point not like a month later right so that's where I kind of made that decision is differential equations hard it all depends on your foundation I think if you have a strong calculus Foundation um you will find that differential equations is not anymore difficult than what you've already uh done before but if you are a little bit weak in your math or you really didn't learn what you needed to learn then yeah you might still struggle with differential equation so I would just make sure that you go back through um the Cel one Cel two make sure you have the strong foundation and I think you'll be okay sorry I meant International mathematics Olympiad well I'm I I'm not sure what you are looking at for on from my advice from on there I think I mean those are math competitions am I not correct am I not Incorrect and you're just going to prepare for both of them separately but at the same time so I'm not sure what exactly specific you're looking for for difference I mean I've never taken I've never gone for the in math mathematics Olympiad so I don't have any direct knowledge um from on there but if you have something a little bit more specific or you want me to touch on then let me know uh well you're just going to subtract the numerators keep the denominator same so therefore you'll have a negative one5 pagor theorems and uh ts are a bit tricky yeah but everything takes practice put some practice put some time put some application into it and I promise you the more that you go over things and like apply them the easier things can be so everything is easy everything is difficult when you first learn it but the more that you do it the easier Things become right look back onto fractions right you might have looked back at the fraction problem like oh I know how to do that yeah but when you're first learning it it can be confusing it takes time so make sure you're putting in the effort and then you'll look back a year from now and you'll be like oh that stuff was so easy why would I why how can even believe I was still struggling on that right it's all perspective so put in the work put in the time and trust me you look back you'll be like that stuff was easy student here how do you recommend making time to study for math while playing Sport and other subjects well um that was me to a te I mean all through high school I played football wrestling and baseball so my time was always filled up with sports and if it wasn't on the weekends even between sports you're always doing postseason or you're doing preseason like I remember maybe I would have a week that would be off throughout the whole year so I was constantly doing it I think what just the more most important thing is like you have to understand when you have meets you know when you're going to be when you're able to do things one of my best um times for me to be able to do work was early in the morning and it was something because my mom was a math teacher and so she woke up really really early and would like be grading papers and stuff like that and you know as a student athlete you just don't have time in the evenings I mean you're going practice you're in meets and all that kind of stuff and you get home and you just want to eat as much food as possible and then pass out right you don't have enough time to go through all the studying andever those El you can however try to cover our time in the morning and then also be realistic like you have long bust rides you have time inside your meets I remember wrestling meets I would be doing work inside the stands like yeah have fun with your teammates and enjoy things right but in the same respect like understand you have a job as a student athlete so when you know you have things that you need to do carve out some time and do it even when you are traveling or before or after the means like just do little chunks of time but I think it's really important just knowing your schedule knowing when you can do things and trying to be as cons trying to be as knowledgeable as how long things you're going to take and just putting the eff but yeah it is a balancing effort with your time it is very difficult but it's actually something very very helpful if you can be able to figure it out um because that's going to serve you later in life um yes I do you'd have to just go to my playlist and and look at them excuse me um they're not going to be labeled as indices they'll be labeled as radicals but yeah if you go on my playlist I have a lot of videos on that stuff that's why is that so big let's bring it down a little bit all right so I'm interested in math and physics relatively towards physics but here in India parents are crazy about computer science engineering and probably force me force me to do it best course to do now um you know I I I think it you got to play around with it right you gotta you got to wait the options of what is it you enjoy doing but then also what is going to be applicable um for you to you know be able to have something to continue doing and I think having a mathematics or a Physics degree is going to give you the most versatility um possible in the future job market whereas a computer science degree is going to be you know definitely going to give you some something very um wanted now and I think that is very important and I think you know as your parents that's what they're looking out for you they don't want you to get something that you're not going to be able to um immediately be marketable for but you know I think I I don't think you can really go wrong with whatever decision you decide to make so um I would just I would just have a conversation with them have a conversation with your professors and just really kind of dig in and kind of feel like what do you feel is the best decision for you because I don't think there is a right or a wrong um in there and I can see the perspective from your parents and I can see you know some benefits of you know where you're looking just with math or physics in general um there's a lot of positives in both in both directions so it's not a decision I can make for you I think it's just something that you're GNA have to toy with and uh and kind of make a decision and roll with it um I mean any any calculus course that you've taken or the you know I mean there's online calculus courses you there's a lot of YouTube you know Educators that have calculus videos um on Al on calc 1 and calc 2 I would just kind of go back through it I'm a assuming you've already taken the course even go back through your previous material working through some of the stuff making sure that you just have that strong Foundation uh whatever may be the best for your for how you feel you're going to learn best I would just start from [Music] there uh yes I took the act or the SAT yeah the SAT I don't remember what my score was everybody always asks like what was your score it wasn't good I mean it wasn't bad it was like average um but I I never really took it that seriously to be honest with you and that's not an excuse for saying like I didn't have a great score because I don't even remember what my score was I just remember it was like average like it wasn't great um it was just average and maybe even below average to be honest with you but I didn't really study for it I didn't do any courses whatever else for it I just kind of let the chips fall where they be and I just was like take it once and then I think I got into my University of choice after that point and I was like okay I'm good with it like I wasn't I wasn't in big I didn't didn't have the stress that I feel like a lot of students have now of getting into highest scores getting into the university like I had a play I had a decision where I wanted to go I got a good enough score to get in and I was kind of good with it you know that was that was just I think part of the sign of the times and part my personality I'm in eighth grade I I'm sorry I'm in eighth grade I already have finished books about algebra should I read college algebra or pre-calculus or trigonometry um I mean I yeah if you if you want to further explore you know mathematics and you feel like you've already built up a strong foundation in algebra like go as fast as you need to go right I mean that's part of the problem with our educational system is it teaches to the masses right it doesn't accentuate the individual um I don't think you need to feel rushed into pursue pre-calculus in trigonometry especially being in eth grade like or even freshman year like give your like give yourself time enjoy things and whatever else but if you have a passion for Learning and and you want to continue going on like go for it don't let anything hold you back um just just know that it's not a race right so just go at your speed that you feel is going to be comfortable for you that you still enjoy what you're doing um but don't don't rely on pressure if maybe you know somebody else is doing it better or faster than you or your parents are put on pressure like go at your own speed and if that means continuing your education at a faster Pace than and those around you who are going to upper level courses awesome kudos to you right it's just not meant for everybody and I just don't want you to feel the pressure of that's why you're doing it I want you to do it for yourself what is the hardest math equation or unit for you I don't remember the math equation or a math equation Sor I mean there's of course as you're a teacher or somebody that's taking a lot of math you're going to encounter a lot of hard math problems you know I talk about the abstract algebra was one of the hardest courses I took I wasn't prepared I thought it was going to be like an easy course and ended up it was one of those courses that it just took me a long time for me to like understand um the concepts that were in that course so you know as far as units go um you know I don't know I mean the upper level math was it was difficult even in um trying to think of something even smaller that I really had difficulty with but you know I I would say a lot a lot I had difficulty with and you just got to work through it you know and give yourself time I think that's the hardest thing that people sometimes struggle with is like they don't understand something at the beginning but the more time and effort you put into things and the more practice you put into things the easier things get you got to have perspective and you know things are hard things are difficult but put in the work put in the effort and you'll look back and you'll understand that wow that wasn't that bad right but it's all perspective it's all when you first learn things you know you're going to have that struggle so just keep keep moving forward keep on putting the work and you'll be okay I was okay I mean I survived um are you subscribed to YouTube channels like math sorcerer and black pen Ren yes of course I don't know them personally but I love their math channels I think they produce great content and um and yeah I really I really like what they're doing for the math Community I think I think it's all I think it's important to support each and every one of those you know math channels for any so for any of you that are not familiar with math sorcerer or blackpen rien like go ahead and subscribe they have great amazing channels and I think it's really important for to improve math education and to improve math understanding that people have a perspective of different ways that people are going to approach uh mathematics as well as education in general so definitely check them out subscribe I am I am a I don't know I am two student what do you recommend for study for im3 because I don't know what is on it I have no idea I don't even know what im2 or im3 are so I would find some coursework or some study guides or something online I guarantee if you probably Google search something on there you're G to have something that somebody's hopefully produced and put online and I would start from there um there might be some stuff on YouTube as well I just I'm not familiar with those courses so I have no idea but go and do some research you know do your own do your own prep work and then obviously the best thing you could always do besides doing your own prep work is to reach out your professor Reach Out to your teacher that's teaching it like what are some materials that you have that I can start to do to get prepared that's really really helpful and especially even if you took im2 let's say you can't find anything and you don't even know who your teacher or Professor is you know go back through I2 go back through the stuff go back look over your notes look over your exams look over your tests look over your quizzes get reviewed I have a video coming up about over the summer that's something you should be constantly reviewing don't forget that information you know I am two and I am three they are connected right so you're a lot of the stuff in im3 is going to be based on your knowledge of what you learned in im2 so make sure you review and practice that stuff very very important um I don't really have a favorite math philosopher that might sound weird coming from a a math teacher but um you know I don't know I remember when I was in college we did a lot of studying and looking at people um that that went through mathematics and um I remember having like the fascination with them and what they went through but it hasn't been something that I've I remember or on my research so I won't be able to give you a you know kind of name it's not something that I overly study I guess you say in that point but uh but yeah I don't have a favorite kind of weird I guess maybe I should look into some thank you I'll do that is it possible to learn everything in math like every single topic um it's weird how you say learn because math is so expansive one thing I was I was making I was talking to some people about is like the scariest thing that I've learned about math is the more that you know the more that you realize you don't know and it's a very very scary thing it's kind of like the universe like you look into like the sky and you're like oh I can see all of our stars and then like you we take like a a satellite out and then we recognize holy crap there's all these other galaxies out there with billions of universes planets and everything else it's like the farther you go out the more you start to explore and see and I very like I I very much compare that with mathematics you know like when if you have a very basic understanding of mathematics you think oh like I can know everything that I've been taught in elementary school or high school and it's you know math is not very applicable to real life and you know it's just kind of this boring you know uh boring struggle you know for me and then you get into you know college mathematics in a calculus and Beyond and then you start learning you start seeing how things are being applied and how actually they start to all that foundational stuff that you learned is actually a part of why certain things are the way they are around the world and you're like holy crap that's amazing things it and then you start even taking more upper level courses and then you're like your mind just becomes blowing you're like oh there's so much more out there and then you see all these other math courses that are going in deeper and deeper stuff and it's like it actually hurts your brain to think about all the other math out there so is it possible to learn all the mathematics I mean yes and no I mean I I I think you can learn a lot um by just constantly being invested and and constantly studying mathematics but you know there's so much math out there and and like the sky's the limit you know it's almost like approaching Infinity I would even say so to actually say that you know everything on math or to learn everything I think that's a tough proposition to um kind of convince me on but maybe I'm wrong maybe let me know uh I actually have a fstep video on that that' probably be easiest to go and do but if you want some quick little tips I'll try to give you some best quick low tips for um graphing rational expressions the first thing I would recommend do is find the holes find the vertical astop then find the horizontal astop or slant astop so first you got to identify the discontinuities and the symtop holes Whatever May the case then identify the X and the Y intercepts and then plot all that information then once you plotted all that information go pick a point to the pick a test point to the left and to the right of each and every discontinuity or ASM toope and then start plugging in those points and graph it you can look at symmetry can sometimes be helpful for you um or knowing if it's an even or an odd function but uh but yeah it can be a lengthy press depending on the rational expression that you're working with but I do have a video for it so I'd recommend checking that out up actually have a lot of videos on it do it normally get stuck soling a problem is it normal to get stuck solving a problem for long yeah um of course I took math before there was phones and the inter I mean I we had the internet but it wasn't like the internet that it is today you didn't go online Google searching looking for the solution to a math problem you were left with a textbook and you had to try to figure things out by looking at the examples that were provided to you and so I would spend hours hours I remember trying to figure out math problems and it just wouldn't come to me like you had to really think through it and a part of me it's it's sad because I really think the human brain needs those struggles to help you be able to make the connections to be able to solve math and of course you can't say like there's no like you want to take away the benefit of the internet or chat GPT or your phones to be able to solve math like that's amazing breakthrough that we can do this now and get it right at your fingertips but it also kind of scares and saddens me that we've taken away that struggle that our brain truly needs to help us be able to problem solve and I don't have a great solution for this but yeah I've spent a lot of time trying to figure out math problems and then sometimes they came to me and then sometimes I couldn't but I would think about them the next day and the next day and then I'd maybe get help and then like oh it opened my eyes but guess what then I never made that same struggle I would't Say Never but like I became a better math math student from that struggle and so I think it's important to let yourself struggle I think it's important to have those frustrations and to work through problems and not just to immediately go to YouTube or online and try to find your answer once you once you get that first instance of like I don't understand or I don't know what to do so yeah it's okay to struggle uh I went to Western Michigan University I am from Z I'm asking for let me put it like this there we go I from Zombia I am asking for a video on bormal for a level I not sure I have the right video for you but if you search my um Channel then you might find something that would be good I would assume what's the best me method to study for math when I concentrate on Theory and illustration sums I let questions practice and vice versa please guide yeah it's a balance you have to be able to look at notes and you have to put things into application you got to do both right you just can't like study the the notes and the illustrations and read the theorems and everything like that but then you also just can't like do practice problems um so I think it's really important to have a balance between both one thing I tell students all the time is like when you are studying for a math test you know set it out like by four weeks and I actually have a video on this where I go in more detail and what I'm talking about is to you know every single you creating a chatchi going over those notes those illustrations those definitions the theems put them on a sheet of paper spend time reviewing them each and every day but then also spend time going back working over problems working over problems on from a study guide or problems that you previously did on homework and tests and quizzes you got to have that Balancing Act uh and I think it's really really important to help you better understand understand the information is to continually be doing that over and over throughout the year and especially as you have coming up for an upcoming assessment uh I used to hate maths but now I am kind of taking interest in it what should I do to make maths look less scary thanks well I think you're tur in the quarter and I think that's great I think you know I think you need to just find what you enjoy and and keep on doing it you know it means like math can be scary and that's okay like not everything is going to be this fun great class like I've had great classes where I love the professor I love the the the content that we were learning and then I've had other ones where I'm like this is just boring I hate this like statistics I hate statistics I had a great teacher I just there was nothing that really interested me in it but I finished the course right I got through it um you know and like that's the beauty of mathematics once you're able to finalize or build up that Foundation you start to see there's so much more you know topics out there mathematics that you really get to your own expending for like oh I really want to dive deeper into this right I don't really care so much about that but I really want to go into this level so you know you know put in the work continue on you know having fun with it whatever however that was you know coming about but you know math is beautiful and I and I tell students all the time I didn't really love mathematics like I had an interest in it but I didn't really love mathematics until I really started getting into upper level mathematics like the the foundation stuff in high school and you know Middle School like it just it was boring to me but once I started once I had that foundation and I was able to grow and actually understand stuff and get into upper level CL courses and I really started to see the beauty of mathematics that's where it got ever more exciting for me and maybe that might be something relatable to you I don't know but I really do believe like the more math you learn the more interesting it becomes do you have any advice on developing a teach a Persona where you can explain Concepts to other clearly and simply well I think I forgot the quote you know like you explain it to like a second you know a second grader whatever like you can explain anything um I think there's some truth you know to that and I think one of the things that is difficult when teaching people mathematics is you have a very strong understanding of of why things work and you have to understand like when people are learning things they have to connect them to what they understand so you take something you understand and you have to connect it to something you don't understand so once you already understand something you you kind of forget what it is the people don't understand and so I think that's really important when teaching somebody A New Concept or going out some basic always start with those fundamentals like making sure that you have a foundation of like okay you understand this most basic information right and maybe it can be an analogy but you always want to start with something that you everybody agrees like I understand this a lot of times in my lessons I would always start with something very very basic like hey guys I'm not skipping jumping over here like you guys understand this basic maybe connection or relationship like we have this and then it's the job as a teacher to be able to build them to scaffold that up to that current material so you're always trying to make those you know more current connections to that most fundamental thing into what you're currently teaching and I think the purpose of using the you know second grade or toddler analogy is just keeping things simple right keeping things with your vocabulary um what you're trying to make people um understand with your language you don't want to over complicate things not until they have been able to make those connections and understanding and then I think you can elaborate a little bit more on that so hopefully that was helpful hey that's awesome congrats to you you're very welcome uh I do have a math course I am uh going to be coming up with some more math courses but uh right now I just have a pre-calculus course that you can go and see at Bri glen.com if you are interested in pre-calculus I always make mistakes in the easier part rather than the harder parts of math is this normal I feel like that's illegal hey guess what I was just making a video or I was actually uh doing a video today and um guess what I did it was 4X equals 8 I divided by two on both sides I got x equals 4 what it's like it was just me talking like I already went there was literally an eight minute video and the last 30 seconds that was the mistake I made and you like be like what come on like how are you what's happening here and it was just you know I had a brain fart right I've had brain farts ever since I was in Middle School in high school like it happens it's normal what I have found that helps me out is a Slowdown and it's very difficult when I am teaching because I'm talking and writing at the same time so my brain is you know bouncing back and forth and it's very easy for me to be able to make mistakes but it was true even when I was in high school I would make these my I would make these very simple mistake so I can relate with you it's not illegal it's totally normal um don't beat yourself over it just understand that you are capable of that of making those minor mistakes so always try to make sure you can set us up enough time to go back and check your work as well as to try to slow down and you know check your work mid work just to make sure that you're not having those little brain parts and that was something I wasn't self-conscious about until like later years in high school and once I was just or not self-conscious yeah well self-conscious self-aware of but once I really became self-aware of that when I took tests my testing scores did improve so I recommend that to you as well what are ways to prep for a major exam soon to write my old levels um not sure about the old levels but yeah I think you need to set four weeks apart four weeks before you take start taking your test and you know start going over the old tests the old quizzes the old homework you know redo problems you got right problems you got wrong like go over that stuff create a cheat sheet of all the theorems the definitions review that each and every day um and I think it's just being consistent marking out time that you're going to study spend your time studying there and uh and um and being consistent with it and then as you get closer and closer to your test start spending start allocating um more time you know practicing problems and reviewing the content and as well best of luck do you have advice on how to deal with a bad teacher yeah I mean you're not everybody you're not always going to have the best teacher right that's just reality that's life okay so I don't want to sugarcoat this and and and as you to think that you deserve to always have a great teacher you're not all people are humans people learn differently teachers teach differently right so you're not always going to meet with your teacher so let's just assume you're not able to understand this teacher work well with them here a couple things one have a conversation with them not a like you don't teach the way last year's teacher taught so I can't be in your class but no you got to understand you got to learn from them learn from what their what their goals are or what they're plan on do like how they how they approach the the um the course learn from that so therefore you can adjust because it's your job as a student to be able to adjust to the course that you are currently taking and guess what every course is going to be different every job that you have every um business that you decide to open up like you're G to have challenges so this is just a challenge you need to work through always start with communication with the instructor you're not blaming them because they're bad I mean maybe they are a bad human I don't know but more likely than not that's not always the case but one I would open up communication with them and then two a lot of times that might not solve it right you're gonna still have this impass you're gonna have the struggle so guess what find another teacher that can you know Professor that you can work with find another study group that you can overcome that I had a teacher one time he wasn't a bad teacher but I didn't really understand him he kind of moved very very quickly so I went to my I went to another teacher you know for like some office hours to to learn and understand like he was a little bit condenscending and I just I didn't really have a good connection with that I wouldn't say he was a bad teacher but I just he didn't work for me right so I found time and reached out even to another teacher to help me understand some of those Concepts and it just worked out it got me by that you know that year and so I don't I don't want you to always feel like if you once you struggle with a teacher just to give up and find somebody else because I got that a lot from students when they would join my class like oh you don't teach like last year's teacher or like we don't we're not on the same page and a lot of times it it it took at me having a conversation with those students for them to understand how I was approaching my instruction how I was approaching my class for them to understand them for them to change because yeah I'm going to teach something I'm going to teach it differently the way that the last year's teacher taught right and that's okay but you have to make adjustments and once you make adjustments and you understand the way that I'm approaching things more often than that that was enough for you to be successful in my class but a lot of times it did you know kind of create a riff at the beginning of the year because students like oh this course is too hard for me or you're too hard of a teacher or you know we don't get along so I want to get out of this class and so I always I always say that having communication first is the most important I have AP cuck list AB next year any tips for Success do problems do math problems right um stay on top the work don't fall behind AP Cel is fast-paced course Very fast-paced so make sure you're always staying on top of the stuff and then once you start getting to a current level where you can start doing practice exams do practice as many as possible so hopefully the teacher is going provide you with a lot of them I would recommend even finding some more and practicing practicing practicing uh but best luck if you start to struggle make sure you reach out to your teacher or friends and uh you know get a study group work with them don't feel like you have to do math Alone um you know you're competing against yourself not others so work with people to help you understand the information and get your work done awesome did you ever take abstract Al yes I did take abstract alvra I do not remember taking fractal and geometry sir can I get your opinion on a project maybe let's see for the project I have to create a game to help students learn to practice Concepts and calculus but which an interactive PowerPoint website board game um I'm not really sure I think I would I mean advice I would probably start with something that you feel is going to be the least time intensive for you to be able to create I mean I you could go through a lot of approaches here um but I you know can I get a the I have to create a game to help students learn a practice Concepts yeah I don't know I would probably go with not so much like the least resistance but something that is manageable right um that's not going to overly take over too much time of just creating the foundations not I guess what I'm trying to say is you want to be able to design something that's not going to take more time um than it would take for the math portion right because it's about calculus it's about learning like focus on that the tool that you're going to be using to deliver that should not be taking up so much of that time so whatever that is for you PowerPoint website or board game that's like the easiest for you to create I would go with that I don't know what to write but I thank God and I thank you for helping me in my lessons in mathematics well you're very welcome because of you I've always get a full Mark in math I am Arab student from rack well thank you very much for the kind words and I'm so happy to be able to help you out and thank you for writing to me I appreciate that hello just say one of your lessons to save my life because I was about to fail math and I pulled a fat eight to keep up to teach awesome good for you keep working hard I'm so happy my video helped you out and I appreciate that uh is this one of those viral math problems um always work the inside in parentheses 1 plus 2 is going to be three then you're going to work from division to multiplication you're going to work from left to right so 6 divided two is three 3 * 3 is going to be a ner how does calculus and linear algebra tie together um I don't even remember the Core Concepts from my linear algebra class um so I don't remember the topics that we had from the lard algebra but there always going to be a relationship there's always um what do I think about India I don't know I love India I don't know I don't know any never been there so don't have anything else I guess positive or negative to say but I would love to visit I really would uh but my question oh okay maybe as successful as in math as you in math as my math subscri girl wait wait but my question is maybe may be as successful may I maybe I don't know um yes you definitely can be successful in math everybody can be successful in math I think it's a tragedy that so many students quit math before they are able to taste that level of success in math and part of it is because we've created a culture where we students don't have the desire to continue like learning mathematics it's just kind of put off as like a topic that you just learn and then you just move on and then go and explore everything else but I really do wish more students could have the opportunity to learn the beauties of of mathematics and hopefully that something that can change uh I don't know I've never taught it I've only seen some problems from papers that students have sent to me but um I know I get a lot of comments on it so I would like to explore more of it but I'm just not familiar with it I'm in Cal for the summer thank you for all the videos that are straight to the point I watch every day well awesome so happy to be help you out no I'm just not a big fan of soccer I don't know I mean I played soccer all the way till like sixth grade and then I started playing football wrestling and baseball and then I played rugby and you know yeah I just I don't know soccer's just never been a sport that I've overly gotten into I don't know what it is it's just it's just not me um how do I focus on studying whenn very addicted to gaming reward yourself you know maybe you you know you got to be able to turn things on turn things off I think that's just a reality of life you're like how am I going to do anything if I'm addicted to gaming like no matter what even if you are making money from gaming and it's your lifetime blood like you still have to have balance in life so find some time to separate yourself from gaming to separate yourself to do anything if it's math or anything else and find Bal and maybe find some rewards that you're like hey if I go and spend two hours or an hour or 30 minutes doing this I'm going to allow myself to play for an hour but I think if you can just be structured with gaming give yourself a time on a time off then that's that can just be helpful and put in some non-negotiables and put in some rewards for yourself so therefore you can can be consistent with that because we know just in gaming you're going to be oh crap like I said I was going to stop in a minute but I'm like no I got to get to this next level or I'm almost there like I want to keep on playing like you got to be consistent and follow through um do you think math is God's language I don't know actually to I I would probably have to think about that more before I would respond from there but math is beautiful it's all in the world and I can see how God and math could be intersected in that and a question like that but not sure how I how I would respond to God's language in that that's an interesting question how are some good ways to remember how to solve any math well it's difficult and you can approach math problems in many many different ways I think one thing that I tell students when they're creating cheat sheet is like yeah write out how you solve that problem like write it down and then you can always go back and reference it right so you know because yeah you do forget how to sometimes approach a certain math problem a certain way so if it is unique or something you're like ah man I totally never going to remember this like write it down on a cheat sheet on a sheet of paper and keep like a big stack of them so therefore you kind of have that as a good reference material because reality if you do it once or if you do them you know twice you might not remember it but if you have something where it's like this you know stack of paper this cheat sheet that you can always go back and reference it's going to be easier for you you know as a math teacher even from year to year I would forget how to do things so I always had to go back and like sometimes go back and review oh what how did I do this again oh yeah yeah and then boom I jump right into it and I'd be good for rest of the lesson but you forget things right we're humans unless you're doing something every day in in um every day in and out like you're going to forget things so I think it's always good to make sure you're doing good notes and keeping a good reference cheat cheet um starting to plan calculus what are some preview that Goods that are crucial in starting I think um I was going to say exponent or you know exponents rules of exponents rational expressions um would be very very important exponential logarithmic equations you know know going over those properties trig verifying um you know knowing your unit circle and all that kind of stuff I think all all the stuff from pre-calculus is very very important um and that's why it's called pre-calculus you know so I would definitely focus on exponential logarithmic rational expressions polinomial functions trigonometry given a good review of all that stuff will'll be we'll set you we'll set you get you prepared um all I'm doing is I have a board that has class on it I write on it and then I flip the screen when I edit so I'm writing with my right hand but then I flip it and it looks like my left so that's how it works I feel like math is useless and nonsense I don't know how they say you're G to use them engineering yeah of course you use it in engineering and like yeah most math is not gonna be applicable for everybody in their real day life it's true um but I think there's something important it's like the more you know of something the better you just understand everything else and it's so true in mathematics the stronger the foundation you have I think the easier it is to BU for you to understand how other things work and so yes you're not going to goow to the use the grocery store and be able to use verifying trigonometric identities I get it but I truly believe having a strong mathematical foundation will serve you of being able to have a strong understanding of whatever you decide to continue your education or to explore as a as an occation truly believe that I don't know if that's a dig against me or what but um maybe yes or no um is there any hacks to solve linear equations I need to ask for Mack exams tomorrow um no I mean you just I wouldn't say there's any tricks from there I I would just practice practicing yeah having some maam would would be a great start nope not really so much um no never really took any Co coding or anything like that so I don't know it's just never something I was like extremely interested in so you know uh I started teaching in August of 2007 and I stepped away in August of 2021 no 2022 yeah 2022 do you think a mathematics degree is good considering the fact that most even stem careers don't require complex math because computers already do it yeah I think um I think a math degree is still something that is very very important for us to be able to continue investing in in society um because yeah math is computers are going to be able to compute math always better than a human at a more efficient time and everything else but we have to understand that the math that goes into our computers and to Ai and we have to have to have humans driving that Innovation and so I think it is really really important and I think having a math degree can be very versatile um for many many different occupations or business in general so um yes I would still say I'm having a general math degree is very strong and important and I think you can do a lot with it you are very welcome I hate these YouTubers never read the messages from the people messages yeah I know they're so so annoying they just go live and they actually don't read people's messages I hate that what do you think the limit to self-studying math at what point does a topic absolutely require professor's guidance instead of self-learning through videos and books it all depends some people can learn stuff all on their own some people don't even need to go to class and they can just learn it right watch a video and they're good on it it's all dependent some people need a day instructor not even a teacher they need like a tutor next to them every single day teaching them so it all depends there is no um limit on what the material is it just depends on the student and where they're at and what they need you got to start with the basics start with the most basic fundamental identities practicing them practicing them and then build up from there all right I'm telling you the more problems you do the more practice put in like a hundred problems think about that imagine doing a hundred practice trigonometric identities you might scoff at me like oh heck no there's no way I can do that many start very basic and start working up I think actually I have a worksheet that's like I made my students doe be like 73 and I'll just tell them I guarantee you if you do all of these problems on this worksheet you're never going to complain to me about how do I do how do I solve a trig metric identity like trust me do these problems it's boring it is not fun it's going to take you about 30 45 minutes because they're mostly basic identities but I'm telling you you do this you're not going to struggle with triger metric ID denes that's my challenge to you how should i serve for my math final very very easy make sure that you go back through your test your quizzes your homework your notes review all that stuff take the most important stuff that you can take from each and every one of those put them on a sheet of paper we call that the cheat sheet review that cheat sheet every single day do practice problems maybe you're teacher gave you a study guide like do problems each and every day the farther you are out probably spend about 15 to 30 minutes every single day the closer you get to your exam start doing that for an hour every single day and just keep work your way ramping up be consistent and uh reviewing all this stuff and you will see how much easier it is on your tester exam uh no that's I'm not sure on that one hi I'm in grade 11th previously at um I'm a gr PR at GD school and moved up to IB School in March this year so so how do I score as well on exams as I do in relation to my knowledge in class been an issue even before moving not 100% sure I'm appr at GD school and I moved to and I B School March and March so how do I score as well in exams that I do in relation to my knowledge I don't know I mean the same way that you um you know put in the work retaught to retaught to your teacher or Professor like get a study group and like put in the work and I think you'll be okay uh yes I have a ton of pre-cal I have a whole section on pre-calculus and I also have a pre-calculus channel I'll be coming um that I post pre-calculus exclusive pre-calculus content as well so I would definitely check those out but if you go to my main Channel you'll see pre-calculus I basically have a whole course provided on there um put in the work put in the work you can do it it's for preos my refresher insane what's your favorite math type I don't know I really love proofs kind of boring I know kind of weird but I really enjoyed it and I really love trig um I trig identities and all that kind of stuff I just love the puzzle aspect of things so I don't know that was me but anyways guys I have to go and run Happy Father's Day for all of you fathers out there that are checking in on the stream and uh I hope you guys have a great rest of your day and I'll see you guys hopefully next week cheers