Category Archives: Inquiry

Module One Post One(Correlation between math and ballet)

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This post by Ashley Chin-Mark explains some of the many correlations between math and ballet. She explains how in ballet the dancers need to be aware of both negative and positive space, as well as study symmetrical movements and shapes. Dancers also need to calculate as well as predict how to best use the stage to perform their routines.  She also talks about different alignments of body parts especially in the 8 corners method and how dancers rotate their bodies, in order to achieve symmetrical lines. 

Image result for ballerina geometry

This post is helpful to me because it has a lot of detailed information with really specific examples of when and how math is used in ballet. Also, it showed me that dancers need to make a lot of calculations as to how to best use the stage to perform their routines, as well as avoid from accidentally bumping into/kicking each other.

Module 1 Post 3 [ Frequency modulation and music synthesis ]

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Frequency modulation and music synthesis

This article comes from the AMS (American Mathematical Society). The article talks about wave frequencies and also Frequency Modulation. When we hear noises (music) our brains are processing the sound waves. They also state that sound is created by different types of air pressure. Frequency Modulation is just that. Modulating a signal so that it matches another signal. I want to use this article to study the perception of music and noises 

 

Module One Post Four (Math in Basketball)

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http://www.dailymail.co.uk/news/article-2177278/Revealed-The-magic-formula-shooting-winning-basketball-shots–thanks-science.html

This website show the backspin of the ball to shoot the hoop, in the free throw line you need to shoot perfect in the hoop, the arm need to be an angle to shoot the hoop nice and easy. If someone do a backspin the ball can hit the rim or the backboard. The more angle the more hoops you can get in. There is a magic formula that tells about the backspin.

This helps me because in a free throw line you can shoot the hoop without any defense men and it important so your team can get point, by doing that you need math to see the meters and how can you do it. The backspin is very good for free throw because it LeBron James of the USA takes a free throw during Team USA's Olympic warmup game against Great Britain at the Manchester Arena on July 19shoot better and get more shots in. When you always shoot make sure you always hit the backboard because when you hit the backboard it lets the ball to force in the hoop.

Module One Post Three (Math in Basketball)

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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3737873/

This website show the jump shot from distance, the jump shot increase the shot and speed. The increased to the ball the higher velocity by using greater shoulders. The greater is your jump the more chances you can shoot. It show that if you jump the greater angle you can get. The reduction in balls release height and release angle.Figure 3

This helps me because the jump shot gives more power and greater angle of the shot. You need a great shoulders to get higher velocity. When you do a lay up you need to jump and your arm need to reach close to the hoop, and you can see is that when you jump is more better aim than just standing and shoot, that WRONG because you won’t get enough good chances.

Module One Post Three (finding vanishing points)

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This website shows how angles come into art in museums. One painting might look realistic, but it doesn’t quite seem like it has depth. Another painting might not seem as realistic, but does seem like it is popping out of the canvas. This is because the second painting used the right ways to portray depth.

Triangles are places on the paper, and the vertices are the vanishing points. Vanishing points are when you can no longer see it because it is too far away. also, you can determine where the vanishing points are if you see parallel lines. Annalisa Crannell brings chopsticks to art museums to figure out how to view the art piece.

https://blogs.scientificamerican.com/roots-of-unity/how-to-look-at-art-a-mathematician-s-perspective/

Module One Post Two (Relationship Between Mathematics and Physics)

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Relationship between mathematics and physics. This site explains how mathematics and physics are closely related to each other. They were once regarded as the almost the same subject because math was used to calculate things in physics. Issac Newton even regarded geometry as the same mechanics. Some outer branches developed due to their relationship, such as calculus. It was developed due to the need in physics.

“Mathematics has already been described as “an essential tool for physics and physics has already been described as “a rich source of inspiration and insight in mathematics”.

For me, this site let’s me understand about how mathematics is used in physics. It shows how closely they are related.

A cycloidal pendulum swings at equal time intervals. This fact was discovered by Christaan Huygens through mathematical assumptions.

Module 1 Post 2 [ Mathematics and Music]

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Mathematics and Music

This page provides lots of links such as videos, podcasts and articles. These links explain counting, intervals, scales, pitches, overtones, patterns, symbols, harmonies and tones. This site has gathered lots of links from trusted sources ( Such as Tedx Talks)

The AMS ( American Mathematical Society) has lots of articles of how math and music are similar. They have listed over 20 links to trusted sources such as universities like “Rice University” (William Marsh Rice University).  I think I will use this page as a place where I can gather extra information from links that I might’ve missed when researching for my topic.

4/4 = 4 quarter notes (4) in a measure. 2/2 = 2 whole notes (2) in a measure. 3/8 = 3 eighth notes (8) in a measure.

Module One Post Two (Math in Basketball)

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https://www.wired.com/2011/10/optimizing-a-basketball-shot/

This website show what is the difference if someone shoot from different pointer with same power. The distance from different point, the speed of the basketball, and the angle shot of the basketball. It tells the different speed and the angles. It tells how much degrees to shoot for example 50 or maybe 60. The measurement of the hoop. The range of initial speed.

This helps me because the distance is important and the distance helps people know how far it is to shoot from a three pointer. The angle degree to shoot and the power. If a player want to shoot he/she need a better angle, distance, power to shoot a perfect score.

Module One Post Two (Paintings that use perspective)

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The second website I came across is written by    .  He talks about how painters use perspective to create depth, and to show if something is far away, or up close. Painters use variations of perspective such as two-point perspective, three-point perspective, and atmospheric perspective. When you are drawing to create depth, it involves ratios of the different lines and shapes. 

Painters such as  Vincent Van Gogh used perspective in his painting Flower Beds in Holland use these techniques to make it look like a photograph.

The Mathematics of Perspective Drawing

Module One Post One (Math in Basketball)

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http://www.mathblaster.com/coolmath/articles/basketball-and-math

This website show how do you shoot in an angle to the hoop, the measurement of the whole basketball court, and show the average of the distance. The math in basketball involves in wide range. Basketball is a great opportunity to practice simple skill like adding and subtracting. Statistics is for analyzing a game of basketball. Geometry is good to help the player to defend the ball.

This helps me because it tells how far do you shoot from an angle and also it show the force of the angle speed. This is very important to me because because is all by an angle which is so important because the better the angle the more better you shoot. Geometry is also important because you need to defend the ball by bending your knees in an angle so you get more power to jump and block the ball. Basketball and Math