"The Magical Mathematics of Music." Plus.maths.org. N.p., n.d. Web. 19 Apr. 2016. <https://plus.maths.org/content/magical-mathematics-music>.
Blanca Pineda
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Application of mathematics is the key to understanding the world around us. We strive to open your eyes to the world as we see it through our mathematical lenses. As a class, we share our blog, our knowledge, and our growth and it is "Co-sined" by all of us.
Have you ever wondered about how the music that you are listening to came to be? Music is something that many people enjoy and we don’t even realize how hard artists and producers worked to put the music together in a way that people enjoy. Math takes on a very big part when it comes to the making of music because there is math involved in the timing of the singing parts and of the beats and also of the pitch of the music. The producer has to make sure that the singing is inserted at the exact moment the beat starts. They can’t insert it a beat late because the music would then sound off and to do this they must use math to find out in which beat to insert the singing and how long the other beat will come in and so on. Math will be also used for the frequencies of the music. Each beat has its own frequency of pitch and some are higher than others and so if the artists and producers want the song to maintain the same frequency then they will have to adjust the singing and beats so that they will remain the same throughout the song. They will also change the pitch of the beat so that it isn’t louder than the actual singing. Music is like an art filled with math and in parts that we wouldn’t even imagine used it. "The Magical Mathematics of Music." Plus.maths.org. N.p., n.d. Web. 19 Apr. 2016. <https://plus.maths.org/content/magical-mathematics-music>. Blanca Pineda
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Roller Coasters can be used to determine math problems. If you’ve ever gone on a roller coaster you know that most of them have a loop or a drop. If you haven’t gone on a roller coaster, you are missing out because they are extremely fun. In math, you could consider the loop on a roller coaster as a circle. You can also consider a drop on a roller coaster as a parabola. A parabola is an open plane curve formed by the intersection of a cone with a plane parallel to it’s side. A circle is a round plane figure whose boundary consists of points equidistant from a fixed point. Most people already know that roller coasters can be found in science, but now you can know that math can be found in roller coasters as well. My favorite roller coaster that has a parabola on it is the Intimidator 305. Also my favorite roller coaster that has a circle in it is the Carolina Cobra, both found at Kings Dominion. What is your favorite roller coaster that you’ve rode? Does it have a loop or a drop? Bailey Ryan Recent studies have shown that you need to know basic math for working in business ownership. Before you even get a business started you have to think about costs, how much it will cost to manufacture your product and so forth. A major part of it is knowing your profit, if you're making enough money for your company. If you aren't getting enough profit then your losing money and won't be able to sustain your business. The business would need to reduce their costs of things, whatever it may be that they're selling to stay open. For an example arithmetic math is used almost always to help with taxes, manage your budgets and calculate expenses. Without using basic math no businesses would be thriving like they are today. Sources: http://smallbusiness.chron.com/importance-basic-math-business-41097.html http://education.seattlepi.com/kind-math-should-learn-owning-own-business-2811.html Fayth Serlick Math applies to many things in real life, especially pertaining to probability and winning money. When playing the lottery, you can calculate your chance of winning by dividing the number of winning numbers by the total possible lottery numbers. Most lotteries allow participants to choose 6 out of 49 numbers, so the overall probability of winning the lottery would be 1 in 13, 983, 816. Compared to your chances of winning the lottery, your have a much better chance at winning with a slot machine. Most machines have three rows with one main jackpot image on each. The chance for one to land on the jackpot image is 1 in 64, and the chance for all three rows to land on the jackpot is 1 in 262, 144. These chances may vary, depending on the lottery or slot machine being played, but the math behind them remains the same. Sources: http://garsia.math.yorku.ca/~zabrocki/math5020f03/lot649/lot649v3.pdf http://entertainment.howstuffworks.com/slot-machine4.htm Jessica Ruiz Cancer. When you first hear/see that word many things go through your head. Out of all of those things, I bet that math was not one. With cancer, math can explain why or why not you get cancer. A mathematical formula was used by Bert Vogelstein and Cristian Tomasetti that would explain the origination of cancer. They would use the mathematics of evolution and apply it to someone’s cells. This is how they explained the why or why not you get cancer: In an organ, determine the number of cells. Take these cells and find the percentage of how many of them are long-lived stem cells. Next, calculate the amount of times those cell divide. As each cells divides, the daughter cell has a possibility of obtaining a cancer-causing mutation. From Vogelstein and Tomasetti’s findings, the tissues that are the most vulnerable to cancer are the ones with the greatest number of stem cell division. After all of this was done, Tomasetti decided to compare them to other cancer statistics. He found that his assumption elucidated a majority of all cancers. Math works pretty well with explaining cancer. "The Simple Math That Explains Why You May (or May Not) Get Cancer." Science. 2015. Web. 22 Apr. 2016. <http://www.sciencemag.org/news/2015/01/simple-math-explains-why-you-may-or-may-not-get-cancer>. Rachael Johnson Math is integral to every part of society. It is especially important in cases of money and things requiring you to spend money such as taxes. You will taxes such as sales tax, income tax, property, and so much more. Ever wondered why you could not buy something with the listed price? This is sales tax. The government take a certain percentage of what of the cost of the item is and adds that percentage to the price of product when you want to buy it. For example, when sales tax is 5%, they will take 5 cents of a 1 dollar product. In addition to this, they will also take money out of your paychecks for taxes such as medicare and social security. Taxes for certain items such as gas is even higher than taxes on other things. Income tax is a tax on income for the taxpayer. If a country has a tax rate of 53%(a lot first world of countries have higher tax rates than this) they will tax that percent of your income. It might even be higher if you are richer or lower if you are poorer. Remember, the taxes you pay help fund wonderful things such as education, the police, roads, and so much more. Do not forget, you can get a tax return if you pay a little too much in taxes that year. As Benjamin Franklin once said “But in this world nothing can be said to be certain, except death and taxes”. Sean Clark Golf is a sport that involves a lot of math. Yeah I know what you are thinking how could golf involve math but think of hitting a club. Different clubs have different lofts the greater the lift the more parabolic the shape will be. Golf is a sport of thinking because the lower the loft the more the ball will run. So this is another thing that you must think of when choosing a club. So golf is a sport that involves a lot of math because of the distance of the ball going in the parabolic shape and the running of the ball after hitting the ground. Ryan Kimble In the medical field math is used in many ways. For example, it is used to calculate the amount of a medication a patient receives and when he or she needs to take it. Finding the amount of medication needed is on a patient to patient basis, largely based on their weight. The doctor will need to determine the dose required in milligrams for kilogram. Note that the milligrams per kilogram is not the same for each medication. In addition, a doctor must know how long a medication stays in the patient's body. This is because patients need to know how many pills to take in a day and at what intervals (24hr, 6hr, etc.). The rate at which medication leaves the body at a rate that can be displayed by a geometric sequence in with rational numbers. As an example, a medication leaves a person at a rate of 1/10 per hour. In effect, a doctor will have to find intervals to administer more medication while trying not giving the patient too much. This is still based on the dose in milligrams for kilogram. Another way math is used inside medicine is to determine the amount of select blood cells in the body. Take white blood cell (WBC) count as an example. Generally speaking, the normal WBC count is 4,500 to 11,000 WBCs per microliter(mcL) of blood. Given a low or high WBC count a doctor will look into it and decide a course of treatment if possible. In conclusion, the medical field uses math in a number of ways. Including prescriptions, WBC count, and many more fields than those listed. Math is an invaluable part of the medical system and without it medical practice will be much harder to perform. Lance Clark Throughout the blog, people have been talking about math and the real world. However, not only can math be seen in the real world, but also in the virtual world. By this I mean video games. Without math, a video game could not function. When an artist designs an image for a video game, the computer graphs different vertices and normals. A normal is a vector perpendicular to another object, such as a surface or plane. Often, a game engine works out the math in a game, however, the designer can also do it manually. Many different forms of math are used in game designing including algebra, trigonometry, and calculus. However, not all of the math is behind the scenes as you can see math in the games themselves. For example, think of Angry Birds. The trajectory of your angry bird uses physics as the way it is slingshotted determines where it lands. Also notice that the angry birds shoot in parabolas. Don’t just take Angry Birds as an example. Think of some newer games. Think about the latest Call of Duty game with bullets flying around and think of Need for Speed when you drift on a turn at a high speed. These things are physics which is math. Mario always jumps in a parabola and the coins that Mario collects and the points are added up. Even when you get some downtime and decide to play a video game you can not get away from math. Math is a part of our busy work and our entertainment. It is in the real world and the virtual world. Sources https://www.quora.com/How-is-math-used-in-video-game-designing-and-programming http://mathinsight.org/definition/normal_vector Kenny Wertz Typically, we think of math and art as being polar opposites, using separate sides of the brain. Art is creative; math is logical. But in actuality, art and math are often intertwined. For example, Leonardo da Vinci used many "golden rectangles" (rectangles with dimensions that reflect the golden ratio) in his painting Mona Lisa, including the proportions of her face. Another artist, M. C. Escher, created drawings that looked realistic but were mathematically impossible to create, causing interesting optical illusions. Some more modern artists are using geometric patterns to create complex sculptures, and symmetry has been used throughout the ages to create balance in works of art. Architecture also combines math and art to create buildings that will physically work but still be visually pleasing. As you can see, although math and art may be different, they can be combined to produce impressive creations. Emmalee Bass |
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