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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NAME______________________________DATE_______________PER.________ Unit 1 REVIEW REVIEW SHEET: GEOMETRY BASICS Please identify the following terms defined below‚ then sketch the term in the space provided. 1. _____________ An exact location in space with an indefinite shape and size. 2. _____________ An object with no thickness that extends infinitely in two directions. 3. _____________ Part of a line consisting of two endpoints and all the points in between
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3 Transformations 3.1 2D Transformations . . . . . . . . . . . . . . . 3.2 Affine Transformations . . . . . . . . . . . . . 3.3 Homogeneous Coordinates . . . . . . . . . . . 3.4 Uses and Abuses of Homogeneous Coordinates 3.5 Hierarchical Transformations . . . . . . . . . . 3.6 Transformations in OpenGL . . . . . . . . . . Coordinate Free Geometry 3D Objects 5.1 Surface Representations . . . . . . . . . 5.2 Planes . . . . . . . . . . . . . . . . . . 5.3 Surface Tangents and Normals . . . .
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Calculus in 3D Geometry‚ Vectors‚ and Multivariate Calculus Zbigniew H. Nitecki Tufts University August 19‚ 2012 ii This work is subject to copyright. It may be copied for non-commercial purposes. Preface The present volume is a sequel to my earlier book‚ Calculus Deconstructed: A Second Course in First-Year Calculus‚ published by the Mathematical Association in 2009. I have used versions of this pair of books for severel years in the Honors Calculus course at Tufts‚ a two-semester
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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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Introduction and Theory: A two dimensional object is a figure that has both width and height. Today in physics a two dimensional lab was done to decide the distance of an ice cream cone shooter. To do this‚ the formula (d=Ví t + (1/2) at^2) has to be implemented. I decided to make my Y equal to one meter‚ so my calculations would be easy to get. I knew my acceleration for Y was -9.8‚ the velocity initial for Y was zero‚ and the time it will take for the ice cream to reach zero is .452. For X I know
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