Geometry Constellation Reflections
Write a summary of your discoveries about your constellation.
Include the following:
1. The name and history of your constellation.
2. The names of the brightest stars.
3. Describe your constellation in geometric terms:
-what is a point?
-what is a segment?
-what is a ray?
4. How many of your stars are in the same plane? How can you be sure?
5. How many stars are collinear?
6. How do you find the distance between any two stars using the coordinate plane?
5. How do you find the midpoint between any two stars using the coordinate plane?
6. Describe the geometric term "space" using your constellation.
7. What else did you learn during these lessons?
8. What else would you like to learn about constellations or the universe?
Consider these factors in your writing and strive to be an expert:
Novice
- There is no explanation of the solution, the explanation cannot be understood or it is unrelated to the problem.
- There is no use, or mostly inappropriate use, of mathematical terminology and notation.
- There is an incomplete explanation, it may not be clearly presented.
- There is some use of mathematical terminology and notation appropriate of the problem.
- There is a clear explanation.
- There is effective use of mathematical terminology and notation.
- There is a clear, effective explanation de- tailing how the problem is solved. All of the steps are included so that the reader does not need to infer how and why decisions were made.
- Mathematical representation is actively used as a means of communicating ideas related to the solution of the problem.
- There is precise and appropriate use of mathematical terminology and notation.
posted by Mister E @ 7:58 PM
10 comments
10 Comments:
Being Born on May 31st makes me and my constellation Gemini. Gemini means twins and it means that we possess multiple attitudes about our environment. Gemini is a constellation located at right ascension 7 hours and declination 18 degrees. It is located between Taurus and Cancer. The brightest stars in Gemini are Castor (a sextuple star - three double stars) and Pollux (a 1st magnitude yellow star). The open cluster M35 is located in Gemini. Castor is a point and is also the brightest star on my constellation. There are many segments inside of my constellation. One segment would be from Castor to Pollux. There are no rays in my constellation. However If I wanted to draw a ray, I could add on to any endpoint and make it never end. All of my stars are in the same plane because there is only one sky above. There are about 9 collinear stars and then there are non-collinear stars on the bottom. To find the distance between any two stars using the coordinate plane is easy. Take the brightest star and make it your origin (point 0,0) Then find the other points and make a right triangle. Using the Pythagorean Theorem find side c and that becomes your distance between. To find the distance between any midpoint in two stars is a little bit trickier. You must name the coordinates. Create a right triangle and subtract one x value from the next to equal your side. Then using the Pythagorean Theorem you can again find side c and that becomes the distance between the two. Using the word space with my constellation is common knowledge. If I had to use a geometric term, I would use coplanar because all the points are on the same space, same plane. Overall, I learned that my constellation was very interesting and the drawing did not look like a set of twins. Using your imagination would be the key to seeing the figure. I also learned how to find the distance between using any two stars. I would like to continue learning about constellations. I would like to know how exactly the clusters fall into play and whether can move away? I would also like to know what happens if a star burns out in the constellation if that is possible?
-Amber Renee Rush
Block 2
Geometry
Whitney Johnson
My constellation was Gemini also known as Gem. Gemini is known as the twins. It is located between Taurus and Cancer constellations. The Gemini’s two brightest stars are Castor, which is a combination of three stars, and Pollux, a yellow star. There are a bout thirteen “points” in the constellation Gemini. There are also about thirteen line segments. There are no rays in this constellation.
Many of the stars or “points” are collinear. Since the constellation is almost a big square. All the lines are on the same plane because; the constellation is not three dimensional. In this class I also learned that you can use anything and be doing math. But, I would like to know more about why people came up with the constellations and who or what influenced them. Also, how did they come up with some of the names for the constellations?
1. The name and history of your constellation.
Libra is between Virgo and Scorpius. Libra is a balance.
2. The names of the brightest stars.
Libra’s brightest star is Zuben Elgenubi. The second brightest star is Zuben Elschemali.
3. Describe your constellation in geometric terms:
- What is a point?
A point is a dot, a location.
- What is a segment?
A segment is part of the line and it has two endpoints and points between them.
-What is a ray?
A ray is part of that has only one endpoint.
4. How many of your stars are in the same plane?
There are three stars in the same plane βασ.
They are all in the same plane. In the same line.
5. How many stars are collinear?
There are 4 stars ybao.
6. How do you find the distance between any two stars using the coordinate plane?
To find the distance I just did the Pythagorean thereon.
7. What else would you like to learn about constellation?
I would like to learn maybe more about other constellations
Cristina Pratts September 16, 2005
Geometry Mr. Escott
Constellation Questions
Reflections
Write a summary of your discoveries about your constellation.
Include the following:
1. The name and history of your constellation.
The name of my constellation is Virgo (the virgin), it is located along the ecliptic between Leo and Libra. Virgo is the second-largest constellation after Hydra.
2. The names of the brightest stars.
There is only one star in my constellation and the name is the Spica (meaning “Ear of wheat”)
3. Describe your constellation in geometric terms:
-what is a point?
-what is a segment?
-what is a ray?
4. How many of your stars are in the same plane? How can you be sure?
5. How many stars are collinear?
6. How do you find the distance between any two stars using the coordinate plane?
7. How do you find the midpoint between any two stars using the coordinate plane?
8. Describe the geometric term "space" using your constellation.
9. What else did you learn during these lessons?
I learned that geometry is very easy when using constellations and I am very happy that I learned more about geometry and learned more about my constellation.
10. What else would you like to learn about constellations or the universe?
I would like to learn where the constellations got there name from and who invented the whole thing about constellations and zodiac signs and just the history behind the whole thing.
1. The name of my constellation is Gemini (also known as “The Twins”); and it is located along the path between Taurus and Cancer.
2. The brightest stars in Gemini are Castor (a sextuple star-three double stars) and Pollux (A 1st magnitude yellow star).
3. This constellation has 13 points, has 10 segments and 3 rays.
4. In my constellation only 10 of the stars are on the same plane. I know this because the others are sticking out.
5. There are 8 collinear stars.
6. I find the distance between any two stars by finding their position on the graph (On Y and X), and then counting.
7. The midpoint of a segment is a point that divides a segment into two congruent segments. So in my constellation I find it by looking for it in the lines.
8. Space in geometric terms is the set of all points; in the constellation I guess all the stars make the space.
9. During these lessons I learned more about the constellation of my sign and words used in geometry.
10. I would like to learn about the distance between the planets and the sun or something like that.
Jonathan Marrero 9/16/05
• The name and history of your constellation. (Capricorn) The oldest description of the constellations as we know them comes from a poem, called Phaenomena, written about 270 B.C. by the Greek poet Aratus.
• The names of the brightest stars. The brightest stars in Capricornus are Prima Giedi
1. Describe your constellation in geometric terms:
• What is a point? Point (11, 4)
• What is a segment? Point (11, 4) and (16, 3)
• What is a ray? Point (1,2) and it continues on at 0.
• How many of your stars are in the same plane? Have can you be sure?
• How many stars are collinear?
my sign is a taurus, we are known to be stubborned and hold grudges until are wishes are commanded. taurus's lagest star is alpha Tau.
9/15/05
Constellation: Taurus
1.Taurus is one of the many animals hunted by Orion, the hunter. The abbreviation is Tau, its genitive is Tauri and its translation is the bull. It is best seen in January at 9:00 P.M.
2.The brightest star is Alpha Tau.
3.A point is like a star. A segment is like a line between two stars (lines). A ray is part of a line.
4.I have 7 stars in the same plane because I graphed my constellation and there’s seven points in Quaduarant I.
5.5 stars.
6.Find the slope between those two stars.
7.For an example, if I am at 0, and I want to go the midpoint to the point (3, 4), I will go half of three which is 1.5 and go up to the to where I will meet the line.
8.Space is where there are no lines or points, I think.
9.I learned how to find the orgin of any points on a coordinate plane.
10.More about mathematics.
The name of my constellation is Capricornus which is usually referred to the goat fish. This constellation is closely related to the god Pan who, when fleeing from Typhon, a supposedly evil being, went into the Nile and when Typhon left Pan realized that the bottom half of him, the part that was underwater turned into a fish. The four brightest stars of Capricornus are Al geidi, Deneb al geidi, Dabih, and Nashira. The magnitudes vary, Al geidi is 3.57, Deneb al geidi is 2.87, Dabih is 3.08, and Nashira is 3.68. The Globular cluster is NGC 7099 in case you wanted to know. My constellation is a weird trianglish type of shape. Any star would be a point in a constellation. A segment in the constellation is the star that is out of the way of the other ones. A ray is the line that ends where the out of reach star is.. 90% of my stars are in a plane because, well look at my text drawing below it shows all the stars in the constellation. Only 1 is out of the way. The most stars in a line are 3. I will put an ASCCII soon.
Melissa W September 16, 2005
Geometry, 4 Constellations
1) The name and history of my constellation is Capricornus, the history of it is that it’s between Aquarius and Sagittarius.
2) The names of the brightest stars are Prima and Secunda Giedi.
3) On my constellation a point is B.
A segment on my constellation would be S and E
A ray on my constellation would be A and B.
4) There are about 11 stars on my plane. I know this because a plane has many lines and it extends without any end.
5) There are about 10 stars that are collinear.
6) You can find the distance of two stars by using a2+b2=C2.
7) You can find the midpoint of two stars by dividing the segment into two congruent segments.
8) By using my constellation the term space means that there is a set of all points.
9) During this lesson I learned more about my sign and other signs.
10) I would like to learn about if there are any other constellations that might look like the Capricornus.
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