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# IA Golden Ratio in Math IA - A good idea?

Hey guys,

I have a Math IA due on Sunday December 15, which is about 9 days from now. I want to do my topic on the golden ratio because firstly, I'm genuinely interested in it, and secondly, it's extremely risky to change topics at such a late stage. I know some of you will scold me for procrastinating on it but believe me I've legitimately been working on it. However, I'm having trouble finding an original idea based on the golden ratio. I did an introduction where I introduced it and such but I'm having trouble with how to proceed.

I know it's supposed to be an exploration on a real-life thing because I looked at past IAs; even my teacher said that my topic is good but I have to find a way to make it unique since it's pretty redundant. Once I knew that, I tried looking online for IAs based on the golden ratio but to no avail. So now I'm appealing to anybody for ideas because I want to involve quite a bit of maths based on the syllabus AND I'm trying to make mine stand out.

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You could explain the relationship between the Golden Ratio and the Fibonacci Sequence. I don't want to review stuff you already know but I also don't want to leave anything out so I will give an example

Let's take "0, 1, 1, 2, 3, 5, 8, 13, 21..." (The opening of the Fibonacci Sequence) and then use the Golden Ratio. The ratio of 2 consecutive integers is close to the Golden Ratio, and gets closer as the numbers get larger.

Fibonacci Number=1.618

3/2=1.5

5/3=1.67

8/5=1.6

13/8=1.625

21/13=1.62

It gets closer and closer... Try it!

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I have seen many IAs on the golden ratio, but I think that if you were able to make it unique it would be fine! I would suggest that you take a look at the golden ratio in nature! One really interesting example is a sunflower's seed growth pattern! I think that you would be able to work with that and make it stand out! Also, try to bring in a personal element and discuss why this is important to not only you, but overall! Good luck!

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You could explain the relationship between the Golden Ratio and the Fibonacci Sequence. I don't want to review stuff you already know but I also don't want to leave anything out so I will give an example

Let's take "0, 1, 1, 2, 3, 5, 8, 13, 21..." (The opening of the Fibonacci Sequence) and then use the Golden Ratio. The ratio of 2 consecutive integers is close to the Golden Ratio, and gets closer as the numbers get larger.

Fibonacci Number=1.618

3/2=1.5

5/3=1.67

8/5=1.6

13/8=1.625

21/13=1.62

It gets closer and closer... Try it!

I have already spoken about it on my IA though hahaha but thanks anyways! The issue is I need to apply it to a REAL-LIFE aspect and not just in a hypothetical manner..

I have seen many IAs on the golden ratio, but I think that if you were able to make it unique it would be fine! I would suggest that you take a look at the golden ratio in nature! One really interesting example is a sunflower's seed growth pattern! I think that you would be able to work with that and make it stand out! Also, try to bring in a personal element and discuss why this is important to not only you, but overall! Good luck!

Thanks for the idea, I will definitely consider it! However, how do you think I can relate this to the SL Math syllabus? I already deduced an equation for the Fibonacci Sequence based on sequences and series but so far, that's the only thing I can get so far! I am sooooo stuck with this, I'd really appreciate anybody else trying to help. >_<

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Hmmm... Well couldn't you discuss how ancient architecture included the Golden Ratio? I believe the Greeks used it a lot, although it's not sure whether it was intentional.

Looks like this site is pretty informative if you wanted to do something within architecture with your IA... Good luck dude!

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Here is a link to an example of an IA that is on the golden ratio directly from IB that might give you an idea of how to include some more math from the syllabus. Hope this helps! Let me know if the link doesn't work!

http://14.140.95.113/r/ib-diploma-program/pdfs/teachers%20resource%20material/Math%20HL%20&%20SL/Maths%20HL/xmltwo.ibo.org/publications/DP/Group5/d_5_matsl_tsm_1205_1/html/content/exist/rest/app/tsm.xql_doc%3dd_5_matsl_tsm_1205_1_e%26part%3d2%26chapter%3d10.html

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Here is a link to an example of an IA that is on the golden ratio directly from IB that might give you an idea of how to include some more math from the syllabus. Hope this helps! Let me know if the link doesn't work!

http://14.140.95.113/r/ib-diploma-program/pdfs/teachers%20resource%20material/Math%20HL%20&%20SL/Maths%20HL/xmltwo.ibo.org/publications/DP/Group5/d_5_matsl_tsm_1205_1/html/content/exist/rest/app/tsm.xql_doc%3dd_5_matsl_tsm_1205_1_e%26part%3d2%26chapter%3d10.html

Thanks a lot for the sample IA, I checked it out and it looks good! However, I decided to focus more on the Fibonacci sequence as I can directly relate it to the syllabus and such. Also, I'm really worried because I know it's an exploration, not only a research so I have to largely put in my own work. Would you think that it's okay to take certain formulas from the internet and just apply them to certain real-life situations (which could also help me in terms of my personal engagement)? Thanks again.

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Here is a link to an example of an IA that is on the golden ratio directly from IB that might give you an idea of how to include some more math from the syllabus. Hope this helps! Let me know if the link doesn't work!

http://14.140.95.113/r/ib-diploma-program/pdfs/teachers%20resource%20material/Math%20HL%20&%20SL/Maths%20HL/xmltwo.ibo.org/publications/DP/Group5/d_5_matsl_tsm_1205_1/html/content/exist/rest/app/tsm.xql_doc%3dd_5_matsl_tsm_1205_1_e%26part%3d2%26chapter%3d10.html

Hi Cameron, could you please send the same paper again? I'm currently doing my math IA on the same topic and this seems to be helpful but I'm having issues in opening the page. It's giving errors. Thanks!