I am doing a modelling IA, (relationship between the speed of a bike and the pedalling rate, i.e. pedal revolutions per second) and have gathered data by changing the gear for each trial etc. My data is a degree 6 polynomial with a few maxima. My teacher says that analysing the function with calculus (stationary points with derivative, inflexion points and concavities with double derivative, etc + explaining their significance) and using lots of mathematical terminology while doing so is enough for analysis. However I am a maths AA HL student and am worried about the level of the maths involved, which is SL level (this could affect the 'use of maths' criteria)? Perhaps there is a way to incorporate related rates (HL topic)? - after all I'm dealing with dx/dt and dRevolutions/dt...
I like the recommendations that your teacher is giving you. It sounds like you used technology to create an equation from your data (totally fine) and then you are applying other mathematics to that (calculus, graph analysis, etc). Unfortunately, I haven't taught HL yet, so I would stick to the recommendations that your teacher is giving you. Are they giving you any suggestions on how to go deeper and/or include more HL content/analysis to your IA? FYI...you are right that this is a solid approach to a SL IA.
Hey thank you so much I found this video really useful! I am currently doing "modelling my basketball shot" but I am a bit stuck since I do not know where to go with this, since there is no research question that it answers. I was wondering if you have any tips or suggestions for me, Thanks!
Two things... First, this is technically called an Exploration. So you don't need a research question. The main focus is (a) what are you investigating and (b) how does the _mathematics_ drive or shape your thinking? Second, there is a sample IA that is given to teachers to show students that models a basketball shot. Generally speaking, it is not advised to do the same topic that is in one of the sample IAs, unless you approach it differently. So you may want to ask your teacher about seeing that IA to see if your approach would be different and/or advisable. Good luck!
It's possible, but it also sounds like a stretch. I prefer modeling of a a natural phenomena rather than man made structures. And with the natural, I prefer things that are in motion rather than stationary objects.
For sure. Just make sure that your shape is not a regular shape. I suggest, if possible, model the equation first (meaning you create the equation instead of technology) and then do the rotation around the x-axis. Hopefully you also have some purpose for wanting to find the volume of this particular item to help with your personal engagement.
Which part seems most interesting to you? Which part do you feel has some kind of mathematical properties/patterns? Why do you want to model this structure? These are all questions you can ask yourself when deciding how to move forward. Good luck!!
I am doing modeling IA (relationships between the height at which I dribble affecting the speed of the basketball). How do I find out my formula from my graph? I have yet to make a graph, but if I were to how would I find it out? and would I be making an equation for all different heights and comparing the speeds of those?
To model, you plot the data and then try to create an equation based on what your data looks like. It’s best if you can look at multiple models to see what works best, but how many is up to you. Use your knowledge of families of functions and transformations to help build your model. If you can model all the bounces with one function, cool. But if you can’t, pick the most recurring one and try to model that. I hope that helps.
hey whats your opinion on a modeling plus statistics IA? Like I got a bit nervous if my HL math will be strong but I trying to analyze two models I found in a topic where I collected personal data...that included a bit of functions like linear and non-linear regression where logarithmic graph was suitable for one of them. Now Im thinking to use RMSE validity test to analyze them and coefficient of determination. Do you think it is scoring enough?
Hey. I always want to put a disclaimer on that I don't teach HL, so you will always want to default to your teacher's experience and guidance for the depth of mathematics needed for HL Criteria E. That said, I think if you look at some of the comments here where I've consulted with my colleagues who teach HL, it's always great to combine a couple topics, especially for HL. So you are good with that. The other part is to not overly rely on technology for building your models, unless modeling isn't your focus and you plan to do more with the statistics. Working through building models shows a good understanding of the characteristics of the model, not just that it fits the shape. Ultimately, the more that you can show your knowledge and understanding of what you are doing, why it (mathematically) makes sense to do it, and how mathematics guides your thinking, you _generally_ are on the right path for the IA.
i am writing my maths internal assessment to see if GDP per capita affects the number of men per 100k with liver cancer in developed and developing countries. so far I have done the standard deviation and mean and I've seen the difference/correlation is not very strong. i am really not sure what to do in terms of modelling and what calculus has to do with it could you please help me clarify that
Well, what you are talking about here is more of a Statistics IA, not as much of a modeling IA. If you want to try to model it, you need to visualize a trend line (could be curved or straight) and see if you can find an equation using the families of functions we talk about in this course. If there is too much data for that, then modeling will probably not be a good pursuit after your statistical analysis. The other thing(s) to consider is/are: Why would GDP impact liver cancer? Why are you trying to find a relationship between these? How would these be connected? I feel like there could be more thought into what your curiosities are and what data might be more realistically connecting them. Because to me GDP has no bearing on liver cancer. It probably has more to do with lifestyle, habits, and possibly familial genetics.
Sure. But the question will be asked, why are you doing this? Why is this relevant to you or to investigate? You should have some connection to the topic to help with personal engagement. Additionally, modeling two different logos can become long and repetitive in your process. Be sure to include/exclude repetitive processes to keep your IA complete, clear and concise.
@@LikeAMathClass Thanks for your reply, but I have another question. If I do not bother you, the logo has a lot of geometric shapes.is it normal to find the area of each shape because those shapes do not have an equation?
@@Howtobe-d2s That depends. Is it necessary to find the area of all those different shapes? If yes, then do it. If no, then don't. A couple things to keep in mind, as mentioned before, don't be repetitive. Also, if a standard equation works (like say area of a triangle), then use that equation. Generally using integration for something that could be done in an easier way, you should stick to the easier way. No need to over complicate it. I hope that helps.
i am doing a math aa sl ia on modeling the population growth of my home country, is it a good idea?? I'm a bit lost on what can be done, after plotting the linear regression and analyzing it
It would be better if you were creating the model, not software. If you are using software to create the model, you’re right, there isn’t a whole lot more to do. So then you have to start looking at what other questions you have, and start expanding your IA that way. Rates of change? Is there a point where the growth will start dampening?
Disclaimer: I don't teach HL, so you'll want to confirm all this with your teacher. From talking to one of my colleagues who teaches HL AI, he said yes. What he suggested is getting your data (either primary or secondary) and model your data with that. He suggested that you could use matrices to help model it, use some calculus to analyze the equation and maybe follow up with a Chi-Squared test to top it all off. In HL, a straightforward modeling approach that I discuss here usually doesn't hit the extended requirements for Criterion E that are a little different from the SL Criterion E. I hope this was helpful.
I am doing a modelling IA, (relationship between the speed of a bike and the pedalling rate, i.e. pedal revolutions per second) and have gathered data by changing the gear for each trial etc. My data is a degree 6 polynomial with a few maxima. My teacher says that analysing the function with calculus (stationary points with derivative, inflexion points and concavities with double derivative, etc + explaining their significance) and using lots of mathematical terminology while doing so is enough for analysis. However I am a maths AA HL student and am worried about the level of the maths involved, which is SL level (this could affect the 'use of maths' criteria)? Perhaps there is a way to incorporate related rates (HL topic)? - after all I'm dealing with dx/dt and dRevolutions/dt...
I like the recommendations that your teacher is giving you. It sounds like you used technology to create an equation from your data (totally fine) and then you are applying other mathematics to that (calculus, graph analysis, etc).
Unfortunately, I haven't taught HL yet, so I would stick to the recommendations that your teacher is giving you. Are they giving you any suggestions on how to go deeper and/or include more HL content/analysis to your IA?
FYI...you are right that this is a solid approach to a SL IA.
Hey thank you so much I found this video really useful! I am currently doing "modelling my basketball shot" but I am a bit stuck since I do not know where to go with this, since there is no research question that it answers. I was wondering if you have any tips or suggestions for me, Thanks!
Two things...
First, this is technically called an Exploration. So you don't need a research question. The main focus is (a) what are you investigating and (b) how does the _mathematics_ drive or shape your thinking?
Second, there is a sample IA that is given to teachers to show students that models a basketball shot. Generally speaking, it is not advised to do the same topic that is in one of the sample IAs, unless you approach it differently. So you may want to ask your teacher about seeing that IA to see if your approach would be different and/or advisable.
Good luck!
Can i use modeling to create a sketch of an architectural building or design in real life.
It's possible, but it also sounds like a stretch. I prefer modeling of a a natural phenomena rather than man made structures. And with the natural, I prefer things that are in motion rather than stationary objects.
Could I do this for a volume of revolution IA where I model the shape of my object? I'm AA SL.
For sure. Just make sure that your shape is not a regular shape. I suggest, if possible, model the equation first (meaning you create the equation instead of technology) and then do the rotation around the x-axis. Hopefully you also have some purpose for wanting to find the volume of this particular item to help with your personal engagement.
I want to use modeling with the Colosseo but I don't know which part of the Colosseo I will use
Which part seems most interesting to you? Which part do you feel has some kind of mathematical properties/patterns? Why do you want to model this structure?
These are all questions you can ask yourself when deciding how to move forward. Good luck!!
I am doing modeling IA (relationships between the height at which I dribble affecting the speed of the basketball). How do I find out my formula from my graph? I have yet to make a graph, but if I were to how would I find it out? and would I be making an equation for all different heights and comparing the speeds of those?
To model, you plot the data and then try to create an equation based on what your data looks like. It’s best if you can look at multiple models to see what works best, but how many is up to you. Use your knowledge of families of functions and transformations to help build your model.
If you can model all the bounces with one function, cool. But if you can’t, pick the most recurring one and try to model that.
I hope that helps.
hey whats your opinion on a modeling plus statistics IA? Like I got a bit nervous if my HL math will be strong but I trying to analyze two models I found in a topic where I collected personal data...that included a bit of functions like linear and non-linear regression where logarithmic graph was suitable for one of them. Now Im thinking to use RMSE validity test to analyze them and coefficient of determination.
Do you think it is scoring enough?
Hey. I always want to put a disclaimer on that I don't teach HL, so you will always want to default to your teacher's experience and guidance for the depth of mathematics needed for HL Criteria E.
That said, I think if you look at some of the comments here where I've consulted with my colleagues who teach HL, it's always great to combine a couple topics, especially for HL. So you are good with that. The other part is to not overly rely on technology for building your models, unless modeling isn't your focus and you plan to do more with the statistics. Working through building models shows a good understanding of the characteristics of the model, not just that it fits the shape.
Ultimately, the more that you can show your knowledge and understanding of what you are doing, why it (mathematically) makes sense to do it, and how mathematics guides your thinking, you _generally_ are on the right path for the IA.
i am writing my maths internal assessment to see if GDP per capita affects the number of men per 100k with liver cancer in developed and developing countries. so far I have done the standard deviation and mean and I've seen the difference/correlation is not very strong. i am really not sure what to do in terms of modelling and what calculus has to do with it could you please help me clarify that
Well, what you are talking about here is more of a Statistics IA, not as much of a modeling IA. If you want to try to model it, you need to visualize a trend line (could be curved or straight) and see if you can find an equation using the families of functions we talk about in this course. If there is too much data for that, then modeling will probably not be a good pursuit after your statistical analysis.
The other thing(s) to consider is/are: Why would GDP impact liver cancer? Why are you trying to find a relationship between these? How would these be connected? I feel like there could be more thought into what your curiosities are and what data might be more realistically connecting them. Because to me GDP has no bearing on liver cancer. It probably has more to do with lifestyle, habits, and possibly familial genetics.
Can I use two logos related to each other that were changed? I do this because the old Logo did not have a lot of equations.
Sure. But the question will be asked, why are you doing this? Why is this relevant to you or to investigate? You should have some connection to the topic to help with personal engagement. Additionally, modeling two different logos can become long and repetitive in your process. Be sure to include/exclude repetitive processes to keep your IA complete, clear and concise.
@@LikeAMathClass Thanks for your reply, but I have another question. If I do not bother you, the logo has a lot of geometric shapes.is it normal to find the area of each shape because those shapes do not have an equation?
@@Howtobe-d2s That depends. Is it necessary to find the area of all those different shapes? If yes, then do it. If no, then don't. A couple things to keep in mind, as mentioned before, don't be repetitive. Also, if a standard equation works (like say area of a triangle), then use that equation. Generally using integration for something that could be done in an easier way, you should stick to the easier way. No need to over complicate it.
I hope that helps.
i am doing a math aa sl ia on modeling the population growth of my home country, is it a good idea??
I'm a bit lost on what can be done, after plotting the linear regression and analyzing it
It would be better if you were creating the model, not software. If you are using software to create the model, you’re right, there isn’t a whole lot more to do. So then you have to start looking at what other questions you have, and start expanding your IA that way. Rates of change? Is there a point where the growth will start dampening?
would this work for AI HL
Disclaimer: I don't teach HL, so you'll want to confirm all this with your teacher.
From talking to one of my colleagues who teaches HL AI, he said yes. What he suggested is getting your data (either primary or secondary) and model your data with that. He suggested that you could use matrices to help model it, use some calculus to analyze the equation and maybe follow up with a Chi-Squared test to top it all off.
In HL, a straightforward modeling approach that I discuss here usually doesn't hit the extended requirements for Criterion E that are a little different from the SL Criterion E.
I hope this was helpful.