Short Description of Lesson: This is a lesson that introduces or reinforces how to find the distance between 2 points on a coordinate plane by using the absolute value between 2 points or using the distance formula.

Lesson Objectives: Students will learn how to find the distance between two points on a coordinate plane and apply their leaning to find the distance between 2 perpendicular lines on a coordinate plane (Glencoe-Geometry 3.6 Perpendiculars and Distance), transformations in the coordinate plane (Glencoe-Geometry 4.3 Congruent Triangles), SSS on the coordinate plane (Glencoe-Geometry 4.4 Proving Congruence –SSS, SAS) and The Distance Formula (Glencoe-Algebra 1 11.5 The Distance Formula).

Materials / Equipments: Computers, LCD projectors for demonstration, virtual manipulative from http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=64 , http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=183 .

Distance Formula Activities I: Students will measure the distance between 2 points using the ruler with a vertical Line. Have student change only the values for y1 and y2 and then they should be able to tell that the distance between any vertical lines is the difference between the absolute value of y1 and y2 or vice versus.

Distance Formula Activities II: Students will measure the distance between 2 points using the ruler with a horizontal line. Have student change only the values of x1 and x2 and then they should be able to tell that the distance between any horizontal lines is the difference between the absolute value of x1 and x2 or vice versus.

Distance Formula Activities III: Students will find the distance between 2 points using the distance formula and the Pythagorean Theorem will also be reviewed. Students should be able to find the distance between 2 points on a coordinate plane after these activities....

...DISTANCE CALCULATION
Because of the near-spherical shape of the Earth (technically an oblate spheroid) , calculating an accurate distancebetweentwopoints requires the use of spherical geometry and trigonometric math functions. However, you can calculate an approximate distance using much simpler math functions. For many applications the approximate distance calculation provides sufficient accuracy with much less complexity.
The following approximate distance calculations are relatively simple, but can produce distance errors of 10 percent of more. These approximate calculations are performed using latitude and longitude values in degrees. The first approximation requires only simple math functions:
Approximate distance in miles:
sqrt(x * x + y * y)
where x = 69.1 * (lat2 - lat1)
and y = 53.0 * (lon2 - lon1)
You can improve the accuracy of this approximate distance calculation by adding the cosine math function
Improved approximate distance in miles:
sqrt(x * x + y * y)
where x = 69.1 * (lat2 - lat1)
and y = 69.1 * (lon2 - lon1) * cos(lat1/57.3)
If you need greater accuracy, you can use the Great Circle Distance Formula. This formula requires use of spherical geometry and a high level of floating point mathematical accuracy - about 15 digits of...

...Vincenty formula for distancebetweentwo Latitude/Longitude points
For the benefit of the terminally obsessive (as well as the genuinely needy), Thaddeus Vincenty (‘TV’) devised formulae for calculating geodesic distancesbetween a pair of latitude/longitude points on the earth’s surface, using an accurate ellipsoidal model of the earth.
When I looked up the references (‘Direct and Inverse Solutions of Geodesics on the Ellipsoid with application of nested equations’), I discovered to my surprise that while the mathematics is utterly beyond me, it is actually quite simple to program.
Vincenty’s formula is accurate to within 0.5mm, or 0.000015″ (!), on the ellipsoid being used. Calculations based on a spherical model, such as the (much simpler) Haversine, are accurate to around 0.3% (which is still good enough for most purposes, of course).
Note: the accuracy quoted by Vincenty applies to the theoretical ellipsoid being used, which will differ (to varying degree) from the real earth geoid. If you happen to be located in Colorado, 2km above msl, distances will be 0.03% greater. In the UK, if you measure the distance from Land’s End to John O’ Groats using WGS-84, it will be 28m – 0.003% – less than using the Airy ellipsoid, which provides a better fit for the UK. (Since of course no one can travel on the surface of the theoretical ellipsoid,...

...
The DistanceBetween Us Essay
In the memoir, “The DistanceBetween Us,” by Reyna Grande, Reyna explains how her and her three siblings managed to grow up without any parents. Mago, Carlos, Reyna and their new sister, Betty, all live a rough life without any real type of love from their parents so they have to rely on each other for guidance and support. The four Grande children formed a special bond over the years that they will not leave anyone behind. Each character in the memoir contributes significant personality traits that help the others cope with their current situation.
First, one of the oldest Grande child, Mago, who is caring, courageous, develops leadership amongst everyone and is capable of being a good mother at such a young age. Mago’s mother left her with a huge responsibility to be “their little mother” (12). Mago was stripped of her childhood and forced to mature up. Mago molded Carlos and Reyna into who they are today because of the absence of their mother when they were younger. When she found out the news about the new baby coming, she quickly said, “they’re replacing us”(33). Mago wasn’t please with her mom new baby because she told her mom. Carlos and Reyna believes Mago portrays a much more better mom than their real mom.
Following by Carlos, the second oldest who has a great sense of humor and has ambition to support his sisters. Carlos may not have been the bravest, but he did...

...The distancebetween psychological and social
The distancebetween psychological and social
Emily was often set apart from the town's people because they viewed her as a social icon. She was well respected in the town, because of her father’s wealth and the neighborhood she lives in. This was obvious in the text when it was stated, “Miss Emily had been a tradition, a duty and a care a sort of hereditary obligation upon the town.” (Faulkener, 1)
The town’s people also felt a sense of obligation to Emily, because the town’s previous mayor suspended Emily’s tax responsibilities to the town after her father’s death. Emily seems to be a privileged woman, which may be due to the fact that her father once lent the town money. However, when Emily’s father passed and the man whom she taught would marry her left, she becomes very secluded. This statement from the text gave us an idea of the time frame Emily remained in seclusion, “Two years after her father passed and a short time after her sweetheart went away, people hardly saw her.” (Faulkener, 3) The town’s people tried to visit with her, but she did not receive them. It was not just Emily’s isolation and her suspended taxes that keep the towns people talking about Emily, it was also the horrible, disturbing and offensive smell that came from her house. Just how offensive of a smell it was, was stated in the text when one of the town’s...

...Jennifer Voisin
Mrs. Johnston
English Composition (sec2)
26 March 2014
The DistanceBetween Us: A Memoir by Reyna Grande
The term “The American Dream” is very broad with many meanings and certainly broader than any single statistic can measure; however we all our own definition of that. Some would say it is building their dream house, going to college, being wealthy, or just having a family. While Reyna Grande’s memoir, The DistanceBetween Us it became clear that term defines most people no matter where you were legally born, how much money you have, or the family you were blessed with. We all go through many struggles throughout our lifetime and Reyna was no different, even after her family’s incomprehensible trials and tribulations; although weighed heavy on her mind, she never let that stop her from letting go of her aspirations and dreams. She had three people in her life that influenced and motivated her, her father, Mago, and Diana. Alike Reyna, I also had three people that inspired me to never give up my dream. My Father, my Aunt Mirta and my husband Scott.
Reyna’s father was a very hard working man, and wanted the best for his children. He might have showed his love for his them in very strange ways; however he always made it very clear that education was the key to their success. “I brought you to this country to get an education and to take advantage of all the opportunities this country has to...

...The Two-Point Threshold
I. Introduction
In the two-point threshold experiment it is obtained how close two distinct sharp point can be together for a person to feel twopoints instead of one. The value of the two-point threshold is the minimal distance at which the subject can feel two distinct points. The principle behind this experiment is the fact that mechanoreceptors are not distributed homogeneously in the skin of the human body. There are areas with a higher density and areas with a lower density of mechanoreceptors, making this certain area more or less sensitive. However, the smaller the distance is where the subject can feel two distinct points, the more mechanoreceptors must be present in this area, enabling a person to feel small details in that part of the body. In this experiment we will test the two-point threshold at five ares of the body: the back of the hand, the palm of the hand, fingertip, the back of the neck, and the calf of the leg. With these given areas, the fingertips will have a smaller two-point threshold than the back of the hand.
II. Materials and Methods
For this experiment a compass is used to apply two sharp points to the skin at...

...To my perpetual knowledge, nobody has ever succeeded when challenging the onboard facilities and staff of an Aeroplane. The only possible reason for this is that David Cameroon assassinates anyone who even thinks about with a toothpick, I found out the hard way... Aeroplanes, from a distance, look like beautiful, massive and inviting, winged creatures, inside? They are far from it. Aeroplane architects spend so much time on the outer decor of the plane; they hardly remember there’s an inside as well! If the plane is colourful and has big ‘jets’ then I guess nothing else matters, Right? Right? Wrong!
Let’s start off with the exquisite, elegant and engaging stewardesses who for some reason feel it’s necessary to give me directions to my seat. I managed to put my trousers on and dress myself accordingly this morning but I need some stranger to continuously shout random letters and numbers at me. B29? STRAIGHT! G16? STRAIGHT! Dwelling more into the predicament of Stewardesses, one thing I hate about them is the fact that they always smile. They come into work smiling, and even after a hard day’s work, they leave smiling... So to prove this little theory of mine I decided to do an ingenious, harebrained experiment, want to hear it? No? Ok here it is...
About a month ago I was on a trip to Hawaii with my Mother-In-Law, when I decided to stand up from my seat (whilst the seat belt sign was flashing, yes ... I know, rebellious I...

...paintings. Di Credi shows a more complex, divine, almost perfect human being while Boccioni portraits himself in a more modern manner. Both paintings are portraits; yet, one can find a lot of distinction between the two of them. While the young woman shows a negative connotation, Boccioni’s self portrait shows a lively man with vivid colors that gets the viewer’s attention immediately. Both artists found a way of establishing a human body in different styles using different methods with the brushes. Another difference in the way these two artists painted is that with di Credi’s painting one can see when he exactly ends in the edges. One can see that the young woman seems real, while Boccioni’s portrait has more shadows. In Boccioni’s painting is more noticeable the use of brushes than in di Credi’s young woman.
Usually, each artist demonstrates his feelings in their paintings; or shows a current event happening in the artist’s era. Or they just produce something that has impact their life or them in any certain way. Zeitgeist , “spirit of the times” can be related with theses two artists and their paintings because both are presenting their passion for art in the epoch in which they are living. All artworks are a reflection of the time. By analyzing and comparing these two paintings, one can find many interesting aspects of art. Art is more than a painting; art is a history behind an artwork that each...

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