My goal this semester is to literally learn anything that could be useful for APs.
Domain & Range
Absolute function
Transformations
Inverse of parabola
Sqr. Root function
Piecewise function
Unit 1 test
In this unit we learned the basics of nonlinear functions and transformations of graphs, this unit connected to our computer science units in PBL because we also use graphing websites like geogebra or demos. I think I could've done better if i came to this class sooner since i changed to this class after my math class was too easy. But other than that, i feel like i succeeded in this class. For 1.2 assignments, I didn't understand how to write domain and range correctly but I got some private feedback and I know now how to write it.
more info on connections and real world examples here ^
This unit was more challenging, but also more fun, we got to engage in experiments that connected with chemistry and i set higher goals for myself. Before, I didn't know how to calculate IROC and AROC using digital graphs, but after finding geogebra, I was able to do it. This unit also connected with chemistry since we did a chemical reaction experiment and recorded the data. I feel like these kind of maths could help me a lot in the future since if i want to be a forensic scientist, plotting and understanding data will be vital. This will also help with a global issue since in the chemistry assignment we learn how the reaction creates CO2, knowing that, we could understand how to limit greenhouse gases and improve pollution. For a local issue, our understanding of these chemical reactions, we can use to improve our infrastructure with more chemically made materials and we can use our knowledge of graphs to recognize noticable issues in taiwan (like the declining population).
We created a catapult out of chopsticks and rubber bands, then we calculated the velocity (vertical and horizontal) using this polynomial equation. We tested our equations out by trying to hit a bullseye using the position we calculated would hit the bullseye and it worked first try.
This taught me the different types of equations i can use for calculating vertical velocity and horizontal velocity, which is very helpful for a future in STEM that I may pursuit.
My unit test of polynomial functions.
The most recent homework i completed about rational function.
An exit ticket I completed of inequality functions.
This unit was more complicated than the past units, it went by faster but also was harder to understand. I feel like i could've been more successful if i were to do more questions, participate with teammates and ask others more. The physics miniproject could relate back to sciences and PBL since its exploring how to use these quadratic equations and models in the real world and improve the world. Like currently the aerospace area in science could be explored more if we used more predictions and was able to be in control of more factors, using math to predict projectiles could be useful for safety and the future of engineering.
It could also be useful for typhoon predictions, something taiwan suffers from a lot. Some may say our technology is already good enough but we could always do better and improve our systems. Unit 3's miniproject is similar to the first mini project, but this time more physic focused than chemically focused. One example of how I could use these quadratics and inequalities and rational functions is quadratics could be used in engineering (like rollercoasters) since many patterns we see in real life is actually quadratic equations in disguise. Rational functions could be used to see overall cost and work rates, while inequalities can be used to model limits and restrictions (limits could be like cost and profit, restrictions could be like age).
As I was talking in the first paragraph, I will try to engage more in the class and ask classmates 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.
Since i plan to go into forensic sciences if my psychology fails, knowing more about math and science is really important for future.