Every accomplishment starts with the decision to try.
This was the first ever olympiad I’ve ever joined. I actually didn’t wanted to join and felt forced to join and wasn’t too happy about it at first. I mean it was on a Saturday morning. And usually I like to wake up late and chill at home on Saturdays, the weekends. The day that was supposed to not have to school. I don’t like school. Plus, this mathematics olympiad made me miss my piano lesson which was very important because my piano exam was coming up soon. It also made me miss my muay thai kick-boxing class. So yeah, I wasn’t too happy about that.
Sure, we didn’t really had to join the olympiad. But if we didn’t join, we’d have to do these pages long mathematic questions and that’s also stressful TwT. So yeah, I decided to just take the SISMO option. I didn’t enjoyed it at first but then it turned out to be quite fun. I’d still rather have my piano class though cause I almost failed my piano exam. Eh, same thing I suppose cause the homework would’ve taken the exact same amount of time.
I find that the quote I put on top to be quite fitting. I decided to join the mathematic olympiad, which I almost didn’t, and accomplished something! Although I didn’t get any medals, I passed with merit and was able to experience something new that I’ve never tried before.
The Registration
I remember arriving at 7 am, still sleepy and unused to waking up so early on a Saturday morning. I was half-asleep, rubbing my eyes and walking unevenly, then all of a sudden, someone just went “Hurry up! Hurry up! We’re starting!”. While entering, I saw these rush of fancy preparations. They even made specifically designed name tags for each participant! The arrangement of medals, the banners, it was very organised.
24 Game
After we register, we played a game of twenty-four as an ice breaker to start the olympiad and to wake us up on the Saturday morning. My brain was half-asleep and doing these mental calculations woke me up (kinda).
Round 1: MCQ
For the first round, we had to do a multiple choice question paper. We had a total of an hour to complete the test. The questions were SOOOO hard and i’m not even joking. I could only answer one or two questions and I just eeny meeny miny moe-d the rest.
Round 2
Before round 2, we had a short 15 minute break. There were lots of snack stands outside the MPH (picture below) and we decided to buy a few. Round 2 was EVEN harder. There were no multiple choices for this one, anything could’ve been the answer. I ended up trying and could only do two questions. We had another hour to do round 2. I tried to answer the questions but couldn’t. It was so brutal that I gave up after 15 minutes. For the rest 45 minutes, I drew on the paper ;D
Kahoot! Game and Lightning Round
After finishing round 1 and 2, we had a lunch break. Me and my friends spent it in the canteen eating lunch and talking. The SISMO even started a few minutes late so they kinda cut off a few minutes off our lunch break. I barely finished my lunch before we were called to continue the mathematic olympiad. Next, we played a round of Kahoot! I partnered up with Kaylyn but (again) the questions were too hard that we barely could answer anything TWT.
There were something wrong with the Kahoot! game because we scored a few points (by sheer luck) and our score still showed up as zero. A lot of other students were having the same problem too. After our Kahoot! game, we had a lightning round as a tiebreaker for those who were in the top 3 with nearly similar scores for 1st place. Me and my friends were too tired of mathematics and our brain turned off so we just decided to chit-chat.
Awards Ceremony + Halakatas Performance
After the Kahoot! game, we had an awarding ceremony. The gold, silver and bronzee awardees were called on stage and was given a medal. I didn’t make it to bronze (my luck was just bad that day), but I still got a merit certificate (picture below). And hey, at least I didn’t get participation 😀
After the awarding ceremony, the halakatas crew gave us a splendid performance. I didn’t come to the chinese new year show where they first performance so I didn’t get to see it. This was kinda a second chance where I got to see their performance and it was amazing. Keep up the good work! P.S. All the pictures used in this blog was taken by the SISMO photographer.
IB Learner Profile
Principled: I tell the truth and I am fair. Even though the test was really hard, I didn’t cheat. I tried my best and was honest.
Inquirer: I am curious and try to find out new things. Even though a lot of the questions were new to me, I tried to find ways and used different methods to get the right answer.
Risk taker: I trusted my gut on a lot of the questions (reference to the eeny meeny miny moe above) and chose the choice that i think is the correct one.
This is my first time learning for IGCSE. My old school didn’t use the IGCSE curriculum, they had their own curriculum. When I first entered, I thought IGCSE would be just like any other test but boi was I wrong. Being here and learning for IGCSE for 6 months now, I realize that it’s much very serious. The many subject choices just makes it way harder to choose which subject I would dedicated my utmost time studying for. It’s been a hectic and stressful 6 months filled with last minute homework and projects and procrastination. I thank Mr.Kichan for teaching us and helping us prepare for our mathematics IGCSE.
Source: Jimmy Joe
For this semester’s assignment, we had 3 tasks that we had to do to develop our inquiry skills. First, we had this airplane railroad thingy (sorry, can’t explain, just see later) and then we had 2 magic triangles questions. At first I thought that these questions were just a hassle but they were actually quite fun to do when discussing with a partner!!
AIRPLANES AIRPLANES ✈️
So how does this work? Pretend that the overlay picture is an airplane railroad. We’re supposed to find the equation line so the airplane can land perfect so no lives are lost. Equations that are off from the road will crash and the passengers will die. In this question, the topics included are gradient / slope, linear equation, x and y intercepts and graphing equations.
So first what I did here is the y-intercept. I then put the y-intercept coordinate which is (0,-2) into the equation y=mx+b. I then checked the graph for another point and used the formula y2-y1 divided by x2-x1 to find the slope and then plugged in the slope into the equation.
Screenshot from desmos.com
This is another example. I first check the y-intercept (the point that sticks to the y axis) which is (0,11). Then afterwards i find another point which is (1,7). I used the formula to find the slope which is y2-y1 divided by x2-x1. This gets me 11-7/0-1 which is -4. Then i just plugged everything into the y=mx+b formula. The -4 is the m (gradient / slope) and the 11 is the y-intercept. This gives us y=-4x+11.
Screenshot from desmos.com
MAGICAL TRIANGLES
Our task was to solve the question in the image below: to explore and find out the perimeter and area of the magical Koch’s snowflake triangles. Topics in use is 2D shape perimeter and area formulas (but way more complicated than those 2nd grade 2D shapes formulas kay).
Wathall, J., Harcet, J., Harrison, R., Heinrichs, L. and Torres-Skoumal, M. (2019). Education Bookshelf Mathematics Analysis and Approaches Higher Level. [online] Retrieved 20 November 2019, from Bookshelf.oxfordsecondary.co.ukThe triangles are equilateral 1st iteration has 4 sides and 2nd iteration has 16. Each iteration, times 4 sides.
Perimeter of the triangles
Finally counting the perimeter. Everything is explained in the picture already. Pictures are screenshots of my digital handwriting using the app autodesk sketchbook (yes i use my arts drawing app)
Areas of the weird triangles
I counted the original length of the area of the triangle and added it with the newer areas as the iteration increases. I hope you appreciate the green ink. I’m expecting some major green theme in your wedding. Btw green symbolizes wealth, good luck, health and growth so yeah uwu
ANOTHER WEIRD TRIANGLE 🤦🏻♀️ IM SO TIRED 😭😭😭
Our task was to solve all the 6 questions in the picture below of the Sierpinski’s weird and confusing triangles by exploring. Topics in use are the law of indices, 2D shape triangle area formula, ratio, etc.
This picture is what we have to do.
Wathall, J., Harcet, J., Harrison, R., Heinrichs, L. and Torres-Skoumal, M. (2019). Education Bookshelf Mathematics Analysis and Approaches Higher Level. [online] Retrieved 20 November 2019, from Bookshelf.oxfordsecondary.co.uk
Construct the next iteration and fill the table (above)
More green ink yayyyy
What are the patterns?
Pattern for the number of green squares Pattern (length of one side of the triangle) Pattern for area of the triangle
What do they have that are in common with each other?
Picture is self-explanatory
Form a conjecture to obtain the numbers if you were to expand the table further to stage 4, 5 and 6 *sigh*
First of all this is what conjecture means (picture taken from google.com, pop-up search result: oxford dictionary) Plug in the n to the formulas like above Tadaa!! Easy peasy but time draining, jk
How would you compare the set of numbers collected?
I double checked the internet for answers to the weird triangles and discussed with my friends uwu so yeah.
Reflective: I reflect back on my working and double check. I reflect on my mistakes and try to not repeat it again next time and learn from the mistake so I can do a better performance next time and progress.
Inquirers: I let my curiosity wander and inquiry and research and explore on how to solve the questions. At first, I learn independently and then discuss with others. I learn with enthusiasm and sustain my love of learning throughout life.
Knowledgeable: I develop and use conceptual understanding that I have learned in the past, explore new knowledge formulas and techniques.
Thinkers: I use critical and creative thinking skills to analyse and take solve complex problems. I make well thought out calculations to avoid silly mistakes.
Communicators: I express my thoughts confidently and creatively during discussions with others. I collaborate effectively, listening carefully to the perspectives of other student opinions.
The first amazing test was very memorable 😂😂 mostly because i died on that day. After a long month of vacation and holiday and jetlag, we immediately go to school and faced the monstrous atrocity called The Amazing Test. It was my first time doing IGCSE so I didn’t know that we couldn’t use a correction tape. It said “no correction fluid” on the instruction page so I thought correction tape was allowed TwT. Ahhhh skskskskskskksksk anyways, lost so much points because of that sigh. I’m so sed.
All the banners are made my me using the app Phonto. The dragon background picture is drawn by Niken Anindita from artwoonz. Maybe I should’ve made the banners green too hmmm,, ehhh too late ig
From here is when the headache finally ends. YAYY WE MADE IT!(=´∀｀)人(´∀｀=)
So Mr Kichan told me to publish something that I like in WordPress and welp, i’m a big mythology geek. So today, i’ll be telling my version of the Greek myth Medusa.
Art by Irrenhorrors on Devianart
”In the middle is the Gorgon Medusa, an enormous monster about whom snaky locks twist their hissing mouths; her eyes stare malevolently, and under the base of her chin the tail-ends of serpents have tied knots.”
– Virgilius Maro
Who is She? 🐍
Medusa means “guardian” or “protectress”. She is a monster, a Gorgon, generally described as a human female with living venomous snakes in place of hair. Those who gazed upon her face would turn to stone.
Medusa. Art by unknown.
How she was cursed 🐍
Medusa was known as the most beautiful mortal who lived in Athens. She was born with a beautiful face. Ovid especially praised the glory of her hair, “the most beautiful of her charms.”
She worked as a maiden in Athena’s temple when one day, the great sea god, Poseidon visited the temple. Poseidon seems to have been seduced by Medusa’s charms. For once, he couldn’t resist the temptation and impregnated Medusa in the temple of Athena.
Enraged, the virgin goddess Athena transformed Medusa’s enchanting hair into a coil of serpents for the desecration of her temple, turning the once beautiful mortal into a hideous monster.
Athena cursing Medusa.
The legend of Perseus 🐍
As Perseus was the son of Zeus, he was aided by the gods to hunt down Medusa. Perseus received the Cap of Invisibility from Hades, a pair of winged shoes from Hermes, a reflective bronze shield from Athena and a sword from Hephaestus. With these divine gifts, Perseus sought out Medusa and decapitated her with the bronze shield while she was asleep.
Persus hunting Medusa. Art by unknown.
When the blood dripped from Medusa’s head onto the plains of Libya, each drop of blood transformed into venomous serpents. Perseus then returned his magical loans and gave Medusa’s head as a votive gift to Athena, who set it on Zeus’ shield (which she carried), as the Gorgoneion.
Athena and her shield Art by unknown
Medusa’s Children 🐍
For Medusa was pregnant at the time of her death, when Perseus severed her head, her two unborn children, Chrysaor and Pegasus, suddenly sprang from her neck.
The Gorgons were awoken by the noise and did their best to avenge the death of her sister, but they could neither see nor catch Perseus, for he was wearing Hades’ Cap of Invisibility and Hermes’ winged shoes. So, they went back to their secluded abode to mourn Medusa.
Pindar, a great Ancient Greek poet, says that upon hearing their gloomy lament, Athena was so touched that she modeled after it the mournful music of the double pipe, the aulos.
Ignorance gives one a large range of probabilities.
– George Eliot
Source: Kakegurui
As a thrill junkie, I absolutely adore taking risks. That feeling of dread, your heart beating so fast that you can hear it drumming in your ear. Well, if you’re like me and Jabami Yumeko, you’d surely love this topic. Today, i’m here to discuss sets and probability. Enjoy!
Okay. So, before going to the fun part– probability, we’re going to discuss sets first. We need to understand sets first before going to probability to get a better view on the topic. *Title means “nowwww, let’s gamble, shall we? from the anime Kakegurui ♥️
In practical life, we are compelled to follow what is most probable; in speculative thought we are compelled to follow truth.
– Baruch Spinoza
Source: Kakegurui
𝑺𝒐 𝒘𝒉𝒂𝒕 𝒂𝒓𝒆 𝒔𝒆𝒕𝒔?
A set is a group / collection of data. Each data in a set is called a member / element of the set. Ex: the set of all weebs in the world, the set of all apples on a tree, and the set of all numbers between 0 and 100.
When the elements of a set are listed, it is customary to enclose the list in curly brackets. For example, set N, all natural numbers between and including 5 to 10. Written as: K = {5,6,7,8,9,10}. Some of the common symbols used in sets:
For every action, there’s an infinity of outcomes. Countless trillions are possible, many milliards are likely, millions might be considered probable, several occur as possibilities to us as observers- and one comes true.
– China Miéville
Now, finally!! To the fun part- 𝑷𝒓𝒐𝒃𝒂𝒃𝒊𝒍𝒊𝒕𝒚!
Source: Kakegurui
Probability is: the chance for something to happen. Formula:
Source: wiki how
Example: in a classroom of 24 students, 10 students watches Attack on Titan. The probability in this case is 5/12. This is because the total possible outcome is 24, since there are 24 space samples and 10 favorable outcomes. Simplify 10/24 = 5/12
The concept of randomness and coincidence will be obsolete when people can finally define a formulation of patterned interaction between all things within the universe.
– Toba Beta
Source: Kakegurui
𝑻𝒓𝒆𝒆 𝑫𝒊𝒂𝒈𝒓𝒂𝒎 🌳
In probability, tree diagrams may be used to represent a probability space. Tree diagrams may represent a series of independent events or conditional probabilities (will be explained later). Each node on the diagram represents an event and is associated with the probability of that event happening.
I believe that we do not know anything for certain, but everything probably.
– Christiaan Huygens
Source: Kakegurui
Independent Event
Independent events are probability whose chances don’t change, whose chances stays the same. For example:
Like in the example above, the chance of getting Head 3 times is 1/8 because 1/2 x 1/2 x 1/2. The probabilities for every coin being tossed is always 1/2.
All statistics have outliers.
– Nenia Campbell
Source: Kakegurui
Conditional Probability
Probability of an event (A), given that another (B) has already occurred. Below is a formula to find the conditional probability of something:
The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.
– Benoit Mandelbrot
Source: Kakegurui
Real Life Application of Probability
1. Insurance Companies 🏥 💉
Probability helps in analyzing the best plan of insurance which suits you and your family the most. For example, you are an active smoker, and chances of getting lungs disease are higher in you. So, instead of choosing an insurance scheme for your vehicle or house, you may go for your health insurance first, because the chance of your getting sick are higher.
Source: Shigatsu Wa Kimi No Uso
2. Lottery Tickets 🎫 🎟
In a typical Lottery game, each player chooses six distinct numbers from a particular range. If all the six numbers on a ticket match with that of the winning lottery ticket, the ticket holder is a Jackpot winner- regardless of the order of the numbers. The probability of this happening is 1 out of 10 lakh.
Pretty much self explanatory. For example, when playing cards. There is a probability of getting a desired card when we randomly pick one out of 52. For example, the probability of picking up an ace in a 52 deck of cards is 4/52; since there are 4 aces in the deck. The odds of picking up any other card is therefore 52/52 – 4/52 = 48/52.
Source: Kakegurui
Take the probability of loss times the amount of possible loss from the probability of gain times the amount of possible gain. That is what we’re trying to do. It’s imperfect, but that’s what it’s all about.
It is often used in explanatory data analysis. This type of graph is used to show the shape of the distribution, its central value, and its variability. In a box and whisper plot, the ends of the box are the upper and lower quartiles, so the box spans the interquartile range.
A is y-intercept while B is the gradient / slope. This equation is similar to the equation y = mx + b. X is the explanatory variable and Y is the dependent variable.
We all watch the weather forecast. Have you ever thought on how they get that information? Some computer models build on statistical concepts. These computers compare prior weather forecasts with the current weather and predict the future weather.
Source: Kakegurui
Source: Kakegurui
source: https://www.kullabs.com/classes/subjects/units/lessons/notes/note-detail/2312
Source: Kakegurui
Source: wiki how
Source: Kakegurui
Source: Kakegurui
Source: https://www.onlinemathlearning.com/tree-diagram.html
Source: Kakegurui
Source: https://medium.com/@mithunmanohar/machine-learning-101-what-the-is-a-conditional-probability-f0f9a9ec6cda
Source: https://m.youtube.com/watch?v=hR0fQ31-3lg
Source: Kakegurui
Source: https://gifer.com/en/7Emi
Source: Kakegurui
Nadya’s blog 