Life is About Experiences- Kaitlyn Shaw

Here is my descriptive paragraph about a memorable experience I had in Japan in the spring of 2016, that I later made into a SWAY presentation.

As we rolled forward, the cabin twitched and shuddered. Seatbelts made certain to be fastened and tight. As the pilot’s droned voice informed the braced passengers, we all heaved backwards as the plane inclined. As we floated calmly amongst the wispy clouds, I beamed with excitement for where we would later land. I could just see the gorgeous, foreign country in my mind, and I could hardly wait to experience it with my own eyes. After the never-ending flight finally landed, the thrill and eagerness grew more and more inside me. I couldn’t wait to emerge into the city on the other side of the broad airport walls. My family and I briskly strode through the building. The pungent smell of the plane seats had adhered to us, and we were all anxious to freshen up. After what seemed like forever, we made it out of the airport and into the breath-taking city of Tokyo. As we headed to our hotel, I glanced around, and witnessed such an amazing view. Numerous skyscrapers filled the horizon, surfaces ranging from lustrous metal to glimmering glass. Hundreds of busy people bustled around; a growing murmur in an unknown language occupied my ears. As I continued to look about, I noticed so many interesting and unfamiliar things; the odd yet intriguing storefront displays of new and inventive objects, the melodious tune of cultural music played live on the streets, the mouth-watering whiffs I caught of gourmet cuisine lingering nearby restaurants. I was so ready to experience it all, and very enthused for the upcoming 2 weeks. Once we arrived at our hotel, I was truly taken by surprise at how amazing it was. The corridor was filled with sparkling chandeliers and bouquets bursting from the vases. The halls leading to our room were lined with more potted plants and eye-catching art pieces. Our room, simple yet practical, had a stunning view of the city skyline. The beds were so comfortable, the cushy mattresses soft and squishy, so much that it was very easy to fall asleep, especially considering the time change. The powdery peach and pink colours of the sunset’s were such an enjoyable sight to watch at night as well. Over the next few days, we had decided to explore the city, and when you’re in Japan, how could you not indulge in the food? Every single meal was such a lovely surprise. The new and fresh flavors melting in your mouth, making you want more and more. Of course the sushi was spectacular, each roll served looked as if it was a piece of artwork. The sushi chefs would embellish each roll with drizzled sauces and floral garnishes, making your experience not only delectable but also visually appealing. When you walk along the city streets, you are greeted by the humblest of people. Despite the fact that we were travellers, many people were kind enough to treat us nicely, which made us feel very welcome to the unfamiliar crowd. The various kiosks along the road held the most quaint and peculiar items. One stand sold beautiful white flowers, dyed all colours to look like rainbows, and another simply sold fresh fruit arranged prettily on wooden sticks. As unexciting as that may seem, it was a nice change of pace to appreciate the smaller things in life. One day, we visited a beautiful traditional temple. Its structure, aged yet sturdy, consisted of gorgeously unique twisting and turning patterns, colored black with the addition of a stunning vivid vermillion. Beside the temple was a cute little market, where vendors sold handcrafted goods such as oriental treats and good luck charms. The air was filled with the sweet scent of cherry blossoms, those of which were planted around the entire area. As much as I enjoyed site seeing, I was very excited to go shopping in the various “untypical Canadian” stores. As we approached the massive, street-long building, I was so incredibly curious to see what was inside. The interior of the shopping center was unlike any I’ve ever seen before. The levels of the mall were each lined with dozens of stores, selling any single item you could think of. They had stores filled with cool futuristic devices, and clothes that your pets could wear. They had store upon store of the cutest, cleverest inventions, and the most glorious stationary sections I have ever had the pleasure of seeing. You can faintly hear the music of each store humming in the background, and the sound of laughter all around. For a person who loves to shop, it was pretty much heaven. One of the biggest parts of the trip was seeing our family. The main reason we had come to japan was for a reunion. It was so nice to see our relatives, and have them show us their favorite places in the city. They brought us to an eccentric Japanese-Italian restaurant, that at first had us hesitating, but ended up being quite enjoyable. Japanese pizza, though being thin as paper, was a surprise that speaks for itself! The day of the reunion was a very memorable one. The event room filled with friends and family was beautiful, and the scrumptious planned dinner was happily devoured. Even with a language barrier, I felt very belonging with the group, which made the day so much better. Overall, this trip was such a wonderful experience. I hope I get to go back soon, and create more memories to one day share.

Colour, In Math- Inquiry Project 2017


Inquiry 2017 -1xu7kj0

Main Question: My main inquiry question is “Can Colours Exist in a Mathematical Form?”. I wanted to know if it was possible for colour to be represented by math.

Further Questions: After all of my research and findings, I became really interested in the idea of being able to do what a computer does, in your own brain, mainly towards calculating colours and colour codes. My new question is “How do Computers Calculate the Hex Colour Code of Two Different Colours Added Together?”

Extension: This project was a really cool exploration for me because I learned a lot about the hexadecimal system and colour codes, which is so interesting to see. I found that being able to understand how the computer sees colour was really exciting because a device functions so differently than the human brain. Its very cool to see such a visual concept put into materialistic content, because colour really is something you see and witness. I think that I can go further with my project by elaborating my insight on the hexadecimal system, so one day, i can actually calculate and manipulate colours the way the computer does.

 

Rube Goldberg Project

IMG_0879.MOV-1luhn58

(A) Smaller boxes hit each other and fall like dominoes, knocking over a larger box. (B) The first larger box hits the next, which falls on the hovering end of the “see-saw”. (C) As the larger box pushes the hovering side down, a string is released from under the right side of the “see-saw”. (D) The string, once released, lets the cup it was tied to tip over and send a ball that was inside down the ramp. (E) The force of the ball hits a propped up pen, which pushes it forward. (F) Because the pen was pushed forward, it marks a dot on the vertical piece of paper.

ENERGY TRANSFERS:

  1. Mechanical: Many mechanical energy transfers were made, such as the boxes hitting each other like dominoes (A), and the ball hitting the pen (E).
  2. Gravitational: When the cup tips and releases the ball (D), the ball had the potential to roll down the ramp because of gravity.

Algebra Tiles Review Math 10 H 2017

These are examples of how you use algebra tiles to represent an equation. The large squares represent X squared, and had two sides, blue and red, to determine whether it is positive or negative (blue = positive, red = negative). There is also the long rectangles that represent X, with the positive side being green and the negative red. The side length of X is the same side length of X squared, which makes sense because X multiplied by X equals X squared. The smallest square pieces represent the number 1. The colours are yellow for positive and red for negative. These are the basic pieces used in algebra tiles, and the ones that I used today.

In the image above, you see that there are two X tiles and one 1 tile across the top. They are all positive. Down the left side, there is one positive X tile, and two negative 1 tiles. Inside the grid, you see a series of shapes that fill the area. This equals the answer to the original equation. All of the tiles correspond to the side lengths of the shapes outside of the grid. Inside there are two positive X squared tiles, four negative

In this image, the tiles that fill the space are two negative X squared tiles, five positive X tiles, and two negative 1 tiles. To find the tiles that make up this answer, you use the side length of the inner tiles and translate it to the outside, so the X squared tiles would have a side length of an X tile. An X tile would have the side lengths of an X tile and a 1 tile. To determine whether it is either positive or negative, you would just use the rules that two negatives or two positives multiplied together equal positive, and a positive multiplied by a negative equals a negative.

Garibaldi Lake Task

Garibaldi Lake Task

Garibaldi Lake is a beautiful alpine lake that is located north of Squamish. It is turquoise in colour because of the meltwater from the glaciers, and is cascaded by many mountains, including Mount garibaldi.

How to Estimate Garibaldi’s Volume

Sources: https://en.wikipedia.org/wiki/Garibaldi_Lake

https://www.google.ca/maps/place/Garibaldi+Lake/@49.9319498,-123.0535502,13z/data=!4m13!1m7!3m6!1s0x54871de627a17cc9:0x913f7329f4571920!2sGaribaldi+Lake!3b1!8m2!3d49.9366437!4d-123.0272101!3m4!1s0x54871de627a17cc9:0x913f7329f4571920!8m2!3d49.9366437!4d-123.0272101?dcr=0

How to Evaluate the Lakes Volume

Sources: https://en.wikipedia.org/wiki/Garibaldi_Lake

The Barrier

The Barrier is a lava dam that holds up Garibaldi Lake. Though it is currently stable, there are many fears that it will one day collapse and let the lake drain down into Squamish, thus creating a a problem for many people below.

What would happen if the Barrier faulted?

Sources: https://en.wikipedia.org/wiki/The_Barrier

http://www.squamishchief.com/news/garibaldi-lake-a-ticking-time-bomb-1.1753732

 

Math 10 Honors Numbers Summary

Math 10 Honors Numbers Summary

In the last few weeks, our class has learnt a lot about Numbers and Radicals. Most of the material we went over was familiar, although there were a few things that were brand new to me.

Prime Factorization:

One of those things is how when you use prime factorization, it can help you to determine the prime factors that make up that number. Prime factorization is really helpful because you are breaking down the number to its smallest roots, and that can help you find out a lot about the number.

HOW IT WORKS:

You start with a number you want to prime factorize. You then begin to break it up into whole multiples of itself, and then break those multiples into smaller multiples, and you keep doing this until you end up with numbers that cannot be broken up into whole numbers any longer, otherwise known as Prime Numbers. These last prime numbers are the prime factors of your original number, which means if you multiply them all together, you should end up with the original number.

GCF & LCM:

Another example is how you can use prime factorization to find the LCM and the GCF.

GCF: This is the Greatest Common Factor between two numbers. The easiest way to find a GCF is to prime factorize 2 numbers. Once you have done that, you take out the common factors within both numbers and multiply those together to get the GCF.

LCM: This is the Lowest Common Multiple between two numbers. The easiest way to find a LCM is to prime factorize 2 numbers. Once you have done that, you take out all factors of both numbers, except for the ones common between the two numbers. Then you multiply those together to get het LCM.

Radicals:

I also learned the concept of turning entire radicals into mixed radicals, and vice versa. This is a neat trick for simplifying radicals and making them into easier numbers to understand and work with.

HOW IT WORKS:

Find a number that is not a perfect square, cube, etc. Take out a factor that is a perfect square or cube, etc, depending on the root of the radical. Once you have found a number, root it so it becomes a coefficient. Keep on dividing the number inside the radical until you have a number that is not divisible by the root anymore. You will then be left with a mixed radical.

Converting Mixed to Entire:

To convert a mixed radical into an entire radical, you basically take the coefficient and depending on the root, you square or cube, etc, it and multiply it with the number inside the radical. Then you are left with a larger, “entire” radical.

Those were the highlights for me in this unit. I found these 4 things very helpful and interesting, and I will definitely be using these tricks in the future.