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After School

Using. Geometry. After School. *click to continue. Table of Contents. *to return to this menu click the following. *sources. Geometry. # 1. Geometry By Definition.

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After School

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  1. Using Geometry After School *click to continue

  2. Table of Contents *to return to this menu click the following *sources

  3. Geometry #1

  4. Geometry By Definition 1. The branch of Mathematics that deals with the deduction of the properties, measurement, the relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties of space. #2

  5. Geometry By Definition 2. The shape or form of a surface or solid

  6. History of Geometry #3 #4 #5

  7. History of Geometry #6 #7

  8. History of Geometry #8

  9. Types of Geometry

  10. Euclidean Geometry Earliest Discussion of Geometry. Has been taught since 300 BC up to modern days. Beginning levels of Euclidean Geometry are taught in 2 dimensions but can be applied to any finite number of dimensions. #5

  11. Non-Euclidean Geometry Contrasted with Euclidean Geometry, this type can take place in free space as apposed to flat planes. Works along with Hyperbolic and Elliptical Geometry

  12. Algebraic Geometry Uses Algebraic Polynomial Equations to define curves and their coordinate points on a graph.

  13. Critical Thinking

  14. The Process of Problem Solving Analyzing the Problem Think About all Possible Solutions Apply the Solution You Think will Best Solve the Problem

  15. Analyzing the Problem -- In any situation it is important that you understand the entire problem with which you are faced. It is important to take time to think through the entire situation. --

  16. Possible Solutions -- Before taking any course of action it is important to think of all the different possible ways to go about solving the problem. --

  17. Applying the Best Solution -- After thinking about the possible solutions, apply the one you think is appropriate to best solve the problem. If a mistake is made, learn from it and try a different solution to correct the mistake and solve the problem. --

  18. Applications of Problem Solving Obviously, this process can be applied for working out solutions to geometry related problems: for example, finding the area of a circle with a radius of 2 inches. Throughout life you will be faced with various problems. Through applying the process learned in geometry, you will be better prepared to respond to these problems.

  19. Future Job Possibilities

  20. Computer Graphics -- The most important feature in computer graphics is geometry. In computer graphics a character is created by a set of geometric shapes which are moved as you view the character from different angles and distorted as the character moves. -- #9

  21. Medical Imaging -- Medical Imaging uses advanced technology to obtain pictures to determine exact shapes of parts of your body for medical purposes. For example, a surgeon would prefer to know the exact shape and size of a tumor before removing it. --

  22. Aeronautics -- Aeronautics uses geometry through an intense understanding of the curvature of the earth that is necessary to make air travel better. --

  23. Essay Using a text/word editor, write an 100 word essay on how you could use one of the following fun facts of Geometry in a future situation.

  24. Fun Fact 1 Suppose you are creating a hoop that will be one foot bigger in circumference than the circumference of the ball being used to play a game. How much rope would you have to use? (hint: use formula 2πr)

  25. Fun Fact 2 Suppose you were at the top of a tree house that was 30 ft. off the ground. How would you use geometry to determine how long a cord should be to run a zip line to a safe spot on the ground 200 ft. from the bottom of the tree? (assume the ground is flat)

  26. Quiz 10 Questions: 3 about Geometry in General 3 about Critical Thinking 3 about Future Job Possibilities 1 about All Learning Combined * If answered correctly proceed * If answered incorrectly please study and try again

  27. Question 1 The first tracings of the study of geometry occurred around what year? A. 3000 BC B. 2000 BC C. 300 BC D. Yesterday

  28. Question 2 A philosopher named Euclid wrote many texts about Geometry before Pythagoras developed his Theorem. True False

  29. Question 3 Non-Euclidean Geometry deals with _______ instead of the triangles of Euclidean Geometry. A. Squares B. Octagons C. Lines D. Ellipses

  30. Question 4 Part of Critical Thinking is thinking about more than one solution to a problem. True False

  31. Question 5 Learning Geometry will not help my Critical Thinking abilities. True False

  32. Question 6 The solution I think best applies to the situation will always give me the correct result. True False

  33. Question 7 Sonic the Hedgehog is a result of Applied Geometry? True False

  34. Question 8 What Medical Industry would be MOST interested in Geometry? A. Kinesiology B. Nursing C. Imaging D. All of the Above

  35. Question 9 Aeronautics uses Geometry only in airplane design. True False

  36. Question 10 What type of Geometry does Aeronautics use the most? A. Euclidean B. Non-Euclidean C. Algebraic D. None of These

  37. CORRECT!!! Please Proceed to Next Question

  38. CORRECT!!! Please Proceed to Next Question

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  45. CORRECT!!! Please Proceed to Next Question

  46. SORRY!!! You Answered Incorrectly; Please Review and Take Quiz Again.

  47. HOORAY!!! Now You Understand the Importance of Geometry

  48. Sources http://www.myastrologybook.com/PythagoreanTheorem16c.gif http://dictionary.reference.com/browse/geometry Duncan, J. Melville. Third Millennium Chronology. Third Millennium Mathematics. St Lawrence University. Boyer (1991). “Euclid of Alexandria”, pg 104 Christoph Riedwig, Pythagoras, His Life, Teaching and Influence. Cornell University Press 2005. Aydin Sayili (1960). “Thabit ibn Qurra’s Generalization of the Pythagorean Theorem” pg. 35-37 Victor J. Katz (1998), History of Mathematics: An Introduction. Pg. 270-271. Addison-Wesley. ISBN 0321016181. Torretti, Roberto. “Nineteenth Century Geometry.” The Stanford Encyclopedia of Philosophy (Spring 2007). Edward N. Zalta. http://www.web3dservice.com/andyba/3D/wip/minotaur2.jpg

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