(Allen‚ 1997‚ para. 2). For the earliest period of Greek mathematics‚ there are few primary sources of information. We are therefore forced to rely extensively on the Euclidean Summary of Proclus. This contains an outline of the development of Greek geometry from early times until Euclid (Allen‚ 1997). Thales is often considered to be one of the first Greek mathematicians. The proposition known as the “Theorem of Thales” states‚ “The diameter of a circle always subtends a right angle to any point
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mathematician‚ often referred to as the "Father of Geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BC). His Elements is one of the most influential works in the history of mathematics‚ serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century.[1][2][3] In the Elements‚ Euclid deduced the principles of what is now called Euclidean geometry from a small set of axioms. Euclid also wrote
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Mt. Eden High School Mr. Arzumanov: Conceptual Geometry Syllabus Class Website: http://new.schoolnotes.com/sarzu Welcome to Conceptual Geometry! This course will use the textbook Geometry: Concepts and Applications. Conceptual Geometry builds upon the concepts presented in Algebra 1. New content is introduced as an extension of material previously mastered in the abovementioned course. A primary goal of Conceptual Geometry is the use of mathematical ideas in solving problems ranging f
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Fermat’s last theorem Currently holding the world record for longest standing math problem ever‚ Fermat’s last theorem went unsolved for 365 years. Fermat’s last theorem was one of the largest white whales in the study of math. Over the centuries‚ thousands were puzzled by the impossible problem. From its conception to its solution‚ Fermat’s last theorem was one of the most difficult to solve yet easy to understand problems in mathematics. First‚ I will discuss the theorem and how it was introduced
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The Distance Formula In week one‚ we learned a simple yet extremely useful math concept‚ the Distance Formula. This formula uses the Pythagorean Theorem to determine the distance between two points on the rectangular coordinate system. Variations of the Pythagorean Theorem such as the Distance Formula can be used in building things or making plans to build something. Scenario Suppose you are volunteering at the local community center. The community center committee is planning to install
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Manipulative Paper: Base Ten Blocks Base ten blocks are an exceptional learning tool for elementary and middle school students. They let students easily visualize addition‚ subtraction‚ multiplication‚ and division and offer an alternative way of viewing a problem and developing an answer. For the most part‚ base ten blocks can be extremely useful in the knowledge and skills portion of the TEKS. The number‚ operation‚ and quantitative reasoning section of the knowledge and skills portion of
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MATH PROJECT SELECTION LIST 1. Investigate the five "perfect" (or Platonic) solids and explain why there are only five. References: "The Mathematics Teacher"‚ April ’77‚ p. 335; I have directions for making the solids from strips of paper; NCTM Student Math Notes‚ May 1999. 2. Research an invention based on unusual geometric properties or configurations (e.g. Rolamite Bearing‚ Wankel Engine‚ Holograms‚ etc.). References: "Popular Science"‚ Feb. ’76‚ p. 106; "Popular Science"‚ Aug
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excellent example of a living being that has bilateral symmetry. The other kind of symmetry is radial symmetry. This is where there is a center point and numerous lines of symmetry could be drawn. The most obvious geometric example would be a circle. Geometry is the branch of mathematics that describes shapes. Sphere: A sphere is a perfectly round geometrical object in three-dimensional space‚ such as the shape of a round ball. The shape of the Earth is very close to that of an oblate spheroid‚
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Topic 1- Mathematics and Certainty Having said something about the nature of formal systems‚ we must now look in more detail at the nature of mathematical certainty. To do this‚ let us begin by making two distinctions. The first concerns the nature of propositions. An analytic proposition is one that is true by definition. A synthetic proposition is any proposition that is not analytic. So we can say that every proposition is either analytic or synthetic. The second distinction concerns how we
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1 Title: Mummy Math: An Adventure in Geometry Author: Cindy Neuschwander Number of pages: 29 pages Should allow 20 minutes to read book. Grade(s) the book is most suited for: First and Second Grade Topic(s) covered in the book: Geometry: Identifying Shapes Summary of the book: Mummy Math is about twins named Matt and Bibi’s adventure into a mummy’s tomb. They craw into the tomb and find themselves stuck in the tomb. They two of them solve some geometry puzzles to get to the mummy’s chamber
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