Learning is a journey, not a race

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.uk
The 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.

Anindita, N. (2019). Digital Painting by Niken Anindita | ARTWOONZ. Retrieved 20 Nov. 2019, from https://artwoonz.com/digital-painting-niken-anindita/

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(´∀`=)

#firstbatch #igcsemath2020 #unforgetablemoments

Join the Conversation

  1. anushkadaruka's avatar
  2. Nadya’s Headache's avatar

5 Comments

  1. Your blog theme is really cool! I need to learn from you how you made your theme! Very creative, indeed. I love your quote, I might use it in mine sometime, heheh 🙂
    Knowing (after reading this bog) that its only been 6 months you have been doing IGCSE curriculum, I can assure you, you are doing a splendid job!
    I have read your old blogs as well, and your creativity is really out of the world!!! Each time you ensure a consistent and new theme for your entry.
    I love the meme at the beginning, so relatable!
    For investigation A, you are missing mentor’s creative input for the hidden question! (You were suppose to make a loop). Don’t hesitate to approach your mentor 😉
    For investigation C, (how would you compare sets of numbers collected?) I believe something else was expected out of it 😉🙈🙃 Well, that’s that…
    The way you refererred to Investigation B and C as magic triangle questions is funny and innovative all at the same time!
    There is a wonderful integration of technology made (sketchbook) to display explanations. Your handwriting is really neat, too – atleast initially until it eventually detoriates at the very end (I assume due to the time constraints 🙂 )
    The entire blog is well structured/organised with distinct headings and concise explanations. Great use of IB learner profile, you are getting the hang of it even before you are in IB!
    Lastly, your moment is indeed a memorable one for me too – Been there,done that and lost marks too!🙈😅😫
    P.S. Good luck for your IGCSE exams and welcome soon to the world of IB!

    Liked by 2 people

    1. Yeah we did something like the IB learner profile in my old school but using the school’s learner profile so i’m used to it XD

      But brooooo i lost so much marks just from that correction tape. It should’ve said “no correction fluid AND tape.” Fluid and tape is completely different 😭😭😭

      Liked by 2 people

    2. I forgot to mention but thank you for those words of encouragement 🙂 I saw you once during mathletes and you’re super smart. Good luck in IB!!
      Yeah i didn’t really understand what they meant by the hidden question and it was already last minute so yeah 😅 yup, time constraints.

      Liked by 1 person

  2. I forgot to mention but thank you for those words of encouragement 🙂 I saw you once during mathletes and you’re super smart. Good luck in IB!!

    Yeah i didn’t really understand what they meant by the hidden question and it was already last minute so yeah 😅 yup, time constraints.

    Liked by 1 person

Leave a comment

Design a site like this with WordPress.com
Get started