This unit was harder than the past units, but since I am studying AP precalculus anyway, it feels like a worthy practice. I feel like i could've been more successful if i were to do more practice on my weak points, participate with teammates and ask more questions when I don't understand. The mini project could relate back to PBL since its exploring how to use these sinusoidal equations and models in the real world and improve the world and especially practice these in crafts and DIY models. Like currently wave energy uses sinusoidal waves to calculate the wind turbine height graphs to ensure its safe, calculating the points where the blades are at their lowest and highest gives us these graphs and they're essential to their functionality.

I never really understood how the numbers were calculated in a unit circle for these trigonometric equations so I'm happy I could learn something new and unfamiliar to further broaden my perspective. But at the same time I also feel like this is like last semester's catapult mini project since we had to fiddle around with the measurements and fitting sticks and boards in certain places and it was a very crafty experience.

It could also be useful for renewable energy in taiwan, something taiwan suffers from a lot. Some may say our energy resource is already good enough but we could always do better and improve our systems. Taiwan has very unpredictable and harsh winds sometimes, which makes it better to harvest wind energy from, using sinusoidal waves are a core part of the turbines' engineering process, This can help Taiwan's zero-carbon goal in 2050 as turbines (which use these wave patterns to make sure its functional and safe) can generate renewable energy to stop people using so much fossil fuels and in turn reduce the carbon-footprint.

As I was talking in the first paragraph, I will try to engage more in the class and ask classmates or teacher when things go wrong or i don't understand. A piece of peer feedback I get is that I keep making careless and calculation mistakes, which could be easily avoided if I paid more attention and didn't try to rush through exit tickets as much.

Since i plan to go into forensic sciences if my psychology fails, knowing more about math and science is really important for future. I'm especially grateful for now understanding the harder aspects of trigonometric graphs (like identities and their usage) since it will help me a lot with future problems as they will also be quite difficult without these fundamentals.

During these 2 units, I started to manage time better, doing homework during school lunch if i was too busy at home. I began to ask questions more and participate in class, as well as discussing my ideas with my teammates. This class reminds me of my old art class back in junior high when we had to use art and crafts to make functional tools - it also reminds me of my old pbl class in 8th grade where we had to make a house model out of school supplies, in the same way we have to conserve materials and split the work up in our teams.

I feel like a global issue that logarithmic functions can help with is calculating the growth of viruses and right now there's news of a new outbreak of "Hantavirus" which is extremely deadly (~40% mortality rate) and it can be really useful to model now it will grow to know when to take measures before it gets out of hand. (identification of global issue)

Compared to my elementary school math class, VIS's math teaching style was very different as they do a lot more projects that are hand on and they use presentations instead of a textbook. A new perspective I got from this unit was the amount of ways logarithmic equations are used in reality, like in Ph values, in earthquakes, and in calculating sound decibels. I didn't know there were so many uses for logs in so many common subjects too, I'm glad to have learned about these uses so I can get a headstart on whatever stem I want to pursue in the future. (Connection to future plans AND new perspective).

I personally think what I learned in this unit can connect to my intro to global geography class' assignments, as we needed to know how earthquakes work (connection to the iris simulation) and we had an assignment on modelling earthquakes in our fictional empire. On top of that, I've also been interested in chemistry for a while, and learning how to calculate PH is actually really interesting. I think unit 9 can connect to my PBL class as we have to "sell" a tangible design during exhibition so I can use the composition of functions to directly input an output of a function (like amount of tangible designs sold) to another functions directly (like money gained) to calculate profit. (connection to other classwork)

As for changes, I think I could've taken more notes on the different equations people use (sounds, ph, earthquake), and I feel like I could've done more practice in general (because I was occupied with AP math) and double check my work before I hand it in as I make a lot of careless mistakes. (Identification of changes)

Compared to the Case file 8ex work, I feel like my carefulness has improved quite a bit and I make sure to not rush so much so I can check my work. (vertical growth)

A work habit that I improved during this unit is learning to check with my classmates to see where I went wrong or if they're wrong I can teach them whats right. In the future I want to be able to focus more on my classwork during work time. (work/study habits)

For the case file 8ex assignment, since I knew I would not have enough time to finish it alone, I collaborated with my friend so I would do one half and they would do the other, if not for them I would probably have not finished it and It would've looked sloppily done. (collaboration/feedback)