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Math GSP 1
Math GSP 1
Integer operation
In order to use integer addition and subtraction to track the net profit, you need to know 2 things: income and operational losses. If today (income - operational loss) = negative number, it means that you loss money, because you earn less, pay out more. On the other hand, (income - operational loss) = positive, you make profit, since you earn more than you loss.
Exponent Growth
Exponent can explain with why viral spreading is so fast. Viral spreading can be think as inviting people to a party, I (the host, the head of the virus) invited 3 people(the victim) to a party. Then, I told those 3 people to each tell 3 more people, after they come, I tell them the same command. And so on and so on...
Therefore, the formula will be like this : P = 1+3∧(x), which the 1 is the starter, the x is how many groups of people I got and P is the total amount of people my party has.
Back to the topic, infected computers = (Host) x (Amount of CP infected for each assigned CP) ∧ (How many rounds)
And this exponential growth will be way faster than any other simple addition. For instance, if I change the formula into (Host) + (Infected computer each round), the result will be very low and it will not be a lot lower than it since multiply is always lower than direct addition.
Scientific Notation
There is a lot of things that is very very big or very very small, which means that wether it will be veryyyyyyyyyyyy long with thousands of zero, or it will be very very very small with a whole block of decimal zeros. For instance, 1 Googol is 1 with 100 zeros at the back of it. So we can write it by 1 x 10¹⁰⁰ but normally, we will not use it in our daily life.
It is used more often in microscope related stuff, such as 1 µm is 1×10⁻⁴.
Square Roots in Physics
In physics, there are tons of formula to calculate tons of stuff, such as the falling velocity (v=sqrt(2gh)). But sometime when you met them in your math problem, you might wonder, why is times the h by 4 only double the result but not quadrupling it?
The reason is actually easy, because of the sqrt, which means the square root. You definitely notice that the square root of 4 is 2, and when you put 4x in the square root, it is only become 2x, and that is the reason, imagine the x is the h, and you can know why. Its because the 4 stopped the h from getting square rooted and 4 become times 2, which leads the result to be doubled.
Rates and Financial Decisions
Imagine a scenario, you are helping your mom to buy a bag of flour, and there are 2 supermarket, A and B.
They got a different deal:
A: 2 kg for 50 $
B: 3 kg for 80$
Then how to you know which is the best deal?
The answer is to use unit rate.
Unit rate is the rate that one of the side is 1, which is like 2 dollar:1 hour or 2$/hour or 2$ per hour. Those 3 works and means the same.
In this case, you divide 50 by 2 and 80 by 3, because we want to find out who many money you need to pay for 1 kg of flour.
A: 50/2= 25, 25 $ per kg
B: 80/3 ≈ 27, 27 $ per kg
27>25, Supermarket A got a better deal.
So that is how to use unit rate to find a better deal!
PROJECT 1
PROJECT 1
In the project 1, out goal is to team up with another classmate, and use cardboards, or other materials to build a sculpture following the scale ratio. The requirements are listed:
1. The space must have a maximum floor area of 36 m2.
2. The space must have a maximum ceiling height of 4 m.
3. The structural walls and interior items must strictly follow a 1m = 5cm scale ratio (1:20 scale).
4. The physical 3D model must contain at least 5 distinct interior furnishings or fixtures, built perfectly to scale using recycled or craft materials.
5. Models must be neatly assembled, sturdy, and visually detailed. The roof must be removable so viewers can look inside and inspect the interior scale accuracy.
6. A 2D floor plan (drawn on grid paper or digitally) must be submitted showing all real-world dimensions in meters alongside their scaled measurements in centimeters.
7. A completed table showing all conversions from real-world meters to model centimeters must be submitted.
And this time, Octracil is my teammates!
Church from the top
Church from the top
Church from the corner
Church from the corner
The clean floorplan
The clean floorplan
The cm floorplan
The cm floorplan
The m floorplan
The m floorplan
The reflection of project 1
The reflection of project 1
Our Space
When we got the project we decided to do 9x4m, which will be 36 m² . After drawing it out on paper, we found out that it is very long compare to normal houses. Therefore we decided to do something that is long and relatable to ourselves.
This reminds me that when I was in elementary school, I was in a Christian school. We have a church in our school and that church looks almost exactly like what the room looks like. Therefore we just decided to do that.
After some research we found that there will be big chairs, a stage, a lecture, and a giant cross. We decided to add some more furniture, such as a stereo for people who cannot hear very well, stairs to go on stage, a trash can, and a water dispenser.
Reflection
1. What was the most fun and interesting part of this project?
The mostest project is that I can cut the furnitures out by myself. When I was finding all the cardboard and planning out everything, I was feeling like, "Wait how should I make the chairs?" .One idea popped out: "Wait shouldn't we build everything with cardboard?" At first I'm a bit confused because it might be hard to build some very tiny furniture for other people's project. But since mine don't have any complicated stuff, I'll just make it myself.
I draw the things out on the cardboard and cut it out with the blade cutter (I remember it should be called that), and stick it together. I got my first tiny fat chair. It's really fat. It's super wide and the depth is not right so I designed another one, which eventually became the one you see on the church, and I think I did really well. I love the chairs. Also the water dispenser spent a lot of my time but I love it, while other people keep saying that it looks like a thing to put on your nails.
2. What was the most challenging part of this project?
The most challenging part of this project (for me) is actually to finish things on time. Because we decided to start make the project 2 weeks before the deadline, which will be perfectly timly when we finished it. But Octracil and I both got sick at the same day!!!! Which leads to pushing the pressure all on to last week before deadline. Plus Octracil got no card boards. Therefore we almost miss the due day, which is a lesson that teach us to not be that confident about the ideal situation is the reality.
3. What would you improve if you did this again?
Next time I hope I can make the things more detailed and have better time management, therefore we can actually just make the project a lot better with teachers' approvements. I hope that next time we both don't get sick and we can finish it a lot before the deadline.
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