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Math

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Alice Liu

on 5 June 2015

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Transcript of Math

Important mathematicians
After you are finished, you can take a look at these facts and problems.
The World of Math
Why is Math Important?
Can you think of some ways math is used in our lives?
DO
DO THE HARLEM SHAKE!
1. By moving at most 2 lines, get the cherry outside of the glass. At the end of the 2 moves, the figure made from the lines must remain a glass.
DO THE HARLEM SHAKE!
here are some more examples:

when you are driving a car, people use estimation all the time- if a car is far enough away and driving slow enough, you know that you can safely make a turn or keep going. you need to know how much gas you have, how much gas to buy, and be able to estimate if you'll be able to get to somewhere without running out of gas. also, you should know what exit you will get off on if you are on a highway

when you make food, you must measure ingredients, know how long to cook something, and how much to cook

if no one kept score in a sports game, who would know which team won? also, when athletes are recruited, the recruiter looks at who does the best, and how would they know who does the best without comparing numbers?

programming involves math, and many people use passwords that involve numbers ( DataGenetics says thieves can correctly guess more than 25 percent of PIN codes within 20 tries.) . also, since many people have data plans, they can usually estimate if they will run out of data.

you need to know how to tell time, it's a necessity- could you imagine not knowing how long to do something? also, lets face it, everyone checks the clock from time to time in hope of lunch or dismissal being soon, and being able to find out what time it is is almost completely mathematical. also, for those of you who get up to an alarm, setting the right time is very important

when you go shopping, people tend to want to buy items at the lowest prices. also, you must know how much to pay, and cashiers need to know how to count change

also, when decorating, the golden ratio is used to determine whether something looks good, and geometric patterns are used very often. you need to know how many things you can fit in a certain area

in video games, graphics artists use calculus to determine how different three-dimensional models will behave when subjected to rapidly changing conditions which can create a realistic environment for movies or video games.

in school, aside from math class, we also use math. for example, we see many time lines in history. also, time is very important in high school and middle school, even more important than in elementary school. also, most lockers have combination codes where you need to put in a series of numbers

when keeping a pet, you need to know how much to feed it, when to take it to the vet and how often to feed them, and when to let them inside. it would also be helpful if you knew how big they would grow up to be.
A lot of children/students sit in their math class and think/complain, "Why do I have to learn this? I'll never use this stuff/junk in real life." However, they couldn't be more wrong. Practically everything we do- eating, playing, working, and learning- in this technologically advanced world involves math in some way.
Algebra and word problems are used all the time by people all over the world. Understanding percentages and exponents is necessary if you want to know even a little bit about personal finance. Statistics are useful for understanding risks. And it will be embarrassing are unable to read a graph.
because math is so important,what happens when math goes wrong can be disastrous. small mistakes, such as the video about to be shown, can be made. however, huge mistakes, such as bad timing, can result in severe injuries and death
important mathematicians:

Charles Babbage, who invented computers, but failed to build them. His notes were safe, and a machine he designed was built on his 200th birthday.

Euclid, who was the author of
elements
. He mostly lived in Alexandra, and was regarded as the "founder of mathematics", and the "father of geometry".
Elements
was used as a textbook for about 2000 years- and today. It was estimated that, by number of editions printed, it is second only to the Bible. He was also among the first to formalize mathematical proofs.

Issac Newton, who invented calculus. Calculus is the study of how things change. He also made the Newton Method, which helps find the root of a mathematical function. He also made many contributions to science.

Blaise Pascal made the first calculator (thankfully, since they are used so much now). He also invented an early version of the roulette wheel and created the hydraulic press and the syringe.

Pythagoras, expanded geometry, made his theorm

John napier, who invented logarithms, and made common the use of decimal points

Girolamo Cardano, who made probability theory, which in turn led to the birth of statistics, marketing, the insurance industry and the weather forecast. He was known as the 'Gamboling Scholar', and won more games than he lost.

Leonhard Euler, who published many books- 900! He also made sudoku.

James Maxwell invented color photography. Einstein kept a framed photo of him on his desk.
Questions
1. Why is math important? / 2. How does math affect our everyday lives?

A lot of children sit in their math class and think;” I’ll never use this junk/stuff in real life.” Well, since we’re in a technologically advanced society, almost everything we do is because of math. Every time we write, eat, work, and play, we use math in some way. Can any of you think of anything we do that does not involve math?
Examples:
• Clocks: You need to know how to tell time. Otherwise, you won’t know what you’re doing next, how long you have to do it, and many other stuff.

• Driving: Whenever you drive, you use estimating and counting. You need to estimate how fast other cars and how far they are to make a turn onto another street, and you need to be able to estimate how far you need/can go. You also need to know how much gas you have.

• Shopping: You’re dealing with MONEY!

• Using electronics: When you make any electronic, you will need to know math. Even if you only use them, you might have passwords and other things that involve numbers.

• Sports: Keeping score is very important in sports, and there may be a limited time for the sport.

• Food: Aside from baking, which involves measuring ingredients, food has to be carefully sorted, measured, weighed, counted, and much more.

• Decoration: The golden ratio is used

Also, the language of math is used in almost every region of the world. Where ever you go, there are people who use math.


3. Who are some people who greatly affected math? How?

4. Why is math known as a disliked topic, even though it’s so important?
• Whether you love it or hate it, math is the foundation for just about everything from baking to building.
some people who don't like making mistakes might not like the " there is only one right answer. if you don't get it, you are wrong"
5. Math and other subjects:
a. Math and Music
• http://www.thegreatcourses.com/courses/how-music-and-mathematics-relate.html http://www.uchicago.edu/features/combining_math_and_music/
• http://cheng.staff.shef.ac.uk/misc/cheng-cream.pdf
• http://cheng.staff.shef.ac.uk/misc/cheng-pizza.pdf
• http://cheng.staff.shef.ac.uk/misc/pud2.pdf
In music, the Fibonacci sequence can be seen in piano scales. For example, the C scale on the piano consists of 13 keys from C to C; eight white keys and five black keys, with black keys arranged in groups of three and two.

• Math is just like playing with logos. You start with basic blocks that can be joined together. Add creativity, imagination, and a bit of ingenuity. Build anything.
Mathematics is exactly the same. We start with some basic building blocks and ways of joining them together. And then we use creativity, and, yes, imagination and certainly ingenuity, and try to build anything. Of course, just like with Lego, things start getting complicated. You get fed up with the limited range of possibilities when you’ve only got basic Lego bricks. You might want to build a house—so you need door pieces, maybe window pieces. Then you can build all sorts of houses . . . until you start to long for something more complicated. . . There are then all sorts of other pieces we can buy. There are in fact whole series of themed pieces to cater for what kind of thing you want to build. There’s castle Lego, spaceship Lego, star wars Lego and so on. And there are Lego fanatics who become particularly obsessed with one branch of Lego, because they just want to build castles, or spaceships, or whatever. And there are some people who just want to use basic bricks and build huge and extraordinary sculptures from scratch. Math is the same. We start wanting to build more and more complicated mathematical things. So we might use more complicated building blocks, or we might come up with more and more ingenious ways of sticking the blocks together.

The ratio for a perfect pizza: t/d * r^6/(r^3 – 15) ^2
t= the constant volume of topping, d=the constant amount of dough, and r= the radius of the pizza







Quotes http://www.google.com/search?q=math+quotes&es_sm=93&source=lnms&tbm=isch&sa=X&ei=s6zCVNCMKs38sASG7ILIDQ&ved=0CAgQ_AuoAQ&biw=710&bih=778#imgdii=_&imgrc=s0wXNs3tfS0VuM%253A%3B5htUS7V5KSQvDM%3Bhttp%253A%252F%252F2.bp.blogspot.com%252F-8BT7KmIaJeE%252FU5KC2M9945I%252FAAAAAAAAGWI%252FZlyfZGnQJcQ%252Fs1600%252Funderstanding%252Bposter.png%3Bhttp%253A%252F%252Fmathequalslove.blogspot.com%252F2014%252F06%252Fmore-free-math-and-non-math-quote.html%3B1234%3B1537
1. The only way to learn mathematics is to do mathematics.- Paul Halmos
2. Mathematics may not teach us how to add love or minus hate. But it gives us every reason to hope that every problem has a solution … - ?

Cool Facts
1. The word ‘mathematics’ comes from the Greek máthêma, which means learning, study, and science.



Fun Math Problems
1. By moving at most 2 lines, get the heart outside of the glass. At the end of the 2 moves, the figure must remain a glass.






2. You approach 3 people, and you are lost. You know that the people belong to either the Axioms or the Perjurers. The Axioms always tell the truth, and the Perjurers always lie. You assign (temporary) names to all of them: A, B, and C. When you ask A what B belongs to, she says

3.

Pictures



Websites
http://healthland.time.com/2013/04/23/your-brain-on-math/
http://mathforum.org/dr.math/faq/faq.why.math.html



http://www.joyofx.com/love-math-excerpt.pdf
True or False?
Parallel lines can never touch.
You can never hold infinity in your hand.

The underlined words are actually one of the reasons why children hate math. At first glance, you would say that all of the statements are true. However, this is not the case.

Parallel lines can meet. If parallel lines can't meet, then Earth has to be flat and not a sphere.
You can hold infinity in your hand. There are an infinite number of fractions in every square you draw, and in every step you take. If not, Calculus would not have been invented.

A parallel line riddles
Molly steps out of her tent. She walks South 1 km. She walks West 1 km. She sees a bear and gets scared. She runs North 1 km, arriving back at her tent. How is this possible? And, what color was the bear?

Do you know that if you can't hold infinity in the palm of your hand, then you can’t walk out of the room you're in? At least not if you think about it using this riddle: Start 1 m away from an open doorway. Walk half the distance to the doorway. Then half the remaining distance. Then half the remaining distance. Then half the remaining distance. How far will you travel if you do this forever? Will you ever be able to reach the doorway and walk past it

Do you enjoy doing math? (From a scale from 1-10)__
Do you enjoy learning about math? (Also from a scale from 1-10)__
Can you explain why?


2. Why are some people deemed ‘better’ at math? (Why does math seem to come to some people easier than others?)
a. There are some children who seem to understand math as a second language (not that learning a second language is easy, it’s just a saying). However, most children struggle with math. Why is that?
• From a study (http://www.sheknows.com/parenting/articles/1004233/can-you-really-have-a-mind-for-math) on 3rd grader’s math and reading abilities, the children were tutored for 8 weeks, along with getting MRI scans, the children who seemed to improve the most were children with bigger hippocampi. However, the hippocampus doesn’t play a big role in how an adult uses numbers.





A lot of children sit in their math class and think;” I’ll never use this junk/stuff in real life.” Well, since we’re in a technologically advanced society, almost everything we do is because of math.
Every time we write, eat, work, and play, we use math in some way. Can any of you think of anything we do that does not involve math?
Examples:
• Clocks: You need to know how to tell time. Otherwise, you won’t know what you’re doing next, how long you have to do it, and many other stuff.

• Driving: Whenever you drive, you use estimating and counting. You need to estimate how fast other cars and how far they are to make a turn onto another street, and you need to be able to estimate how far you need/can go. You also need to know how much gas you have.

• Shopping: You’re dealing with MONEY!

• Using electronics: When you make any electronic, you will need to know math. Even if you only use them, you might have passwords and other things that involve numbers.

• Sports: Keeping score is very important in sports, and there may be a limited time for the sport.

• Food: Aside from baking, which involves measuring ingredients, food has to be carefully sorted, measured, weighed, counted, and much more.

• Decoration: The golden ratio is used

Also, the language of math is used in almost every region of the world. Where ever you go, there are people who use math.

"Math is just like playing with Legos. You start with basic blocks that can be joined together. Mathematics is exactly the same. We start with some basic building blocks and ways of joining them together. Of course, just like with Lego, things start getting complicated. You get fed up with the limited range of possibilities when you’ve only got basic Lego bricks. You might want to build a house—so you need door pieces, maybe window pieces. Then you can build all sorts of houses . . . until you start to long for something more complicated. . . There are then all sorts of other pieces we can buy. There are in fact whole series of themed pieces to cater for what kind of thing you want to build. There’s castle Lego, spaceship Lego, star wars Lego and so on. And there are Lego fanatics who become particularly obsessed with one branch of Lego, because they just want to build castles, or spaceships, or whatever. And there are some people who just want to use basic bricks and build huge and extraordinary sculptures from scratch. Math is the same. We start wanting to build more and more complicated mathematical things. So we might use more complicated building blocks, or we might come up with more and more ingenious ways of sticking the blocks together."
-Eugenia Cheng


fun facts:
in music, there are 13 notes between an octave, 8 notes in a scale, 5 black keys, 3 in one group and 2 in the other. the fibonnacci sequence!

4 is the only number with the same amount of letters as its value
Charles Babbage
Blaise Pascal
John Napier
Euclid
Issac Newton
in music, there are 13 notes between an octave, 8 notes in a scale, 5 black keys, 3 in one group and 2 in the other. this is the fibonnacci sequence!

math and science:
they are connected in chemistry, astronomy, and physics.
scientific charts and graphs are also used.
complex math, such as geometry, algebra, and calculus can be used to solve chemistry problems.
Girolamo Cardano
Leonhard Euler
James Maxwell
http://www.thefamouspeople.com/mathematicians.php
Part of what make music sound pleasing
are patterns, many of which are involved with math. pitch and frequences involve math. also, the rhythm of a piece is very important.
according to marriam-webster.com, the first known use of mathematics was in the year 1573
What is math?
what is the most important number?
.
Everyone has heard 'math' before. But what is it really? Is it numbers, a universal language, a tool, a subject in school? Or maybe something else completely? What do you think?
however, I believe that the math can't be described simply by words. It can be everything and nothing at once. It is the very core of this world, especially this modern and advanced time period.
mathematics is a group of related sciences, including algebra, geometry, and calculus, concerned with the study of number, quantity, shape, and space and their interrelationships by using a specialized notation
-
School
Driving
Sports
Cooking
Calendars
Video Games
Pets
Electronics
Time
Shopping
in greek architecture, phi (the golden ratio) was used many times. in islamic architecture, tiling involved many patters/ shapes right next to each other. during the renaissance, people use lots of symmetry.

there would be no architecture if there was no math. you need to know how big/long something is going to be, and you need to be sure that a structure is stable before you use it, or it will be very dangerous.


when adminerstering medicine, nurses and doctors use math. success rates of doctors, statistical graphs, x-rays, CT scans

doctors need to know how much medicine to give, how long it will last, and how long the medicine will stay in the patient's body.
also, in stocks, the amount of money/time is graphed. and of course, money is used.
Internet messages — email,
graphics, sound, the results of database searches —
are transmitted as strings of 0’s and 1’s. These strings of 0's and 1's are called binary code

The internet helps mathematicians share ideas, resources, and techniques with each other.
jgoi
Full transcript