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Michigan State University | MATH 202
52 sample documents related to MATH 202
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Definitions Collinear: three points that all lie on a single line Rotation of rays: the collection of all possible rays emanating from a single point Midpoint: divides the line segment into two equal parts Complementary: the sum of two angles is
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Homework Solutions Section 5.1 8. a) These triangles are similar because the angles can be matched so that corresponding angles are the same size. (Actually, we only need to check two pairs of angles because these are triangles. Thus, the 48 and 83 a
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Homework Solutions Homework Solutions Section 9.5 Note that most of the numerical answers for this homework can be found at the back of the text. 33. a) The area of the rectangular base is 6 8 = 48 cm2 , so the volume is 48 7 = 336 cm3 . b) This py
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Homework Solutions / Sample Proof Problems Homework Solutions Section 9.5 8. a) Circumference = d = 5 cm b) If the radius is 160 km, then the diameter is 320 km. So, circumference = 320 km. c) The diameter measures about 5.9 cm, so the circumference
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Math 202, Section 7 Mathematical Investigations II COURSE INFORMATION Spring, 2001 C-114 Wells Hall, 1:50-2:40 MWF INSTRUCTOR: Stephen Hwang OFFICE: Wells Hall A-535 HOURS: Monday, 12:30 1:30 PM, Friday, 3:00 4:00 PM, and by appointment. Please f
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Measurement and Geometry Standards for elementary teachers KINDERGARTEN By the end of kindergarten, students understand the consistency of small numbers, quantities and simple shapes in their everyday environment. They count, compare, describe and s
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Mathematical Investigations MTH 202-202 Summer 1999 Syllabus Text: Instructor: Oce: Phone: E-mail: Web Page: Oce Hours: Geometry: An Investigative Approach by ODaer and Clemens Scott Baldridge A-114 Wells Hall 353-0844 (Leave message with secretary
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Study guide for Exam 2 MTH 202-202 1. The test will cover all sections in chapter 6 of the book (including the homework from those sections). Once again, the book has not done an adequate job of explaining all of the details. Therefore it is importan
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Study guide for Exam 1 MTH 202-202 1. The test will cover sections 2.1, 2.2, 2.3, 2.4, 2.5, 3.1, 3.2, and 3.4 in the book (including the homework from those sections). More importantly, it will also cover all of your notes and graded homework. You wi
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Study guide for Exam 3 MTH 202-202 1. The test will cover all sections of Chapter 19 from the hand outs. However, there will be no material taken directly from the textbook. You can use the textbook to help you understand similarity better (Chp. 8),
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Answers to Selected Problems for MTH 202 1 1.2 Ch.1 A Panoramic View of Geometry 1.2 Geometry as a Mathematical System 2. A great circle is a circumference of the sphere. Thus, there are no lines passing through Point P which do not also intersect
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Lecture Notes for MTH 202 Based upon the text Geometry: An Investigative Approach by ODaer and Clemens Charles H. Morgan, Jr. Instructor Department of Mathematics Michigan State University Contents 0 Introduction 1 A Panoramic View of Geometry 1.
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Math 202 Section 4 Show your work in all problems. QUIZ 8 SOLUTIONS Mar 24, 2008 1. (a) Draw three dierent shapes that have an area of 4 square centimeters. 1. (b) Draw three dierent shapes that have a perimeter of 7 centimeters. two sides of a
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MTH 202 Section 2 Times: Location: Instructor: Office: MWF 11:30 am 12:20 pm C-213 Wells Hall Onur Agirseven A-532 Wells Hall SYLLABUS Phone: E-mail: MLC Shifts: Office Hours: Fall 2007 (517) 884-1473 agirseve@math.msu.edu Monday, Wednesday 12:40
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MATH 202 EXAM 3 Sample problems
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Math 202 Section 4 Show your work in all problems. QUIZ 9 SOLUTIONS Mar 31, 2008 1. Find the area of the following in two dierent ways. Some possible ways: completing to a bigger shape, cutting into familiar shapes, cutting and rearranging to get
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Names Math 202 Section 4 Show your work in all problems. 1 2 3 Total QUIZ 6 SOLUTIONS Feb 22, 2008 1. Hand in your Escher-like design with the quiz sheet. 2. Find the symmetries in the following designs. For rotation symmetries mark the center, f
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Interlocking dancing dogs A quick example in creating an Escher-like tessellation based on rotational symmetry. Try different patterns to replace the two edges, and the other two are obtained by rotation. Before tessellating the plane be creative and
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Names Math 202 Section 4 Show your work in all problems. 1 2 3 Total QUIZ 5 SOLUTIONS Feb 15, 2008 1. (a) Define rotation. Describe how points in the plane move for a given rotation (for a given center and angle of rotation). Does every point mov
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Activity on Translations, Rotations and Reflections Do the following transformations starting with the initial location, and then continuing with the most recent location. 1) 2) 3) 4) Translate 5 units to the right Reflect along the dotted line Rotat
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Activity on Translations, Rotations and Reflections Do the following transformations starting with the initial location, and then continuing with the most recent location. 1) 2) 3) 4) Translate 5 units to the right Reflect along the dotted line Rotat
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Names Math 202 Section 4 Show your work in all problems. 1 2 3 Total QUIZ 4 SOLUTIONS Feb 4, 2008 1. Construct the following using straightedge and compass only. This means there should be no guessing involved, only using measurable distances (with
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Geometric Constructions using Straightedge and Compass A geometric construction is an accurate drawing of a shape using only the following tools: 1. Straightedge: A ruler without markings on it. Can be used to draw straight lines. Can\'t be used for m
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Names Math 202 Section 4 Show your work in all problems. 1 2 3 Total QUIZ 2 SOLUTIONS Jan 23, 2008 1. Tim is looking through the small hole of his toy periscope. Using reflected light rays show which part of the picture frame he can see (shade visi
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MTH 202 Section 2 Times: Location: Instructor: Office: MWF 11:30 am 12:20 pm C-213 Wells Hall Onur Agirseven A-532 Wells Hall SYLLABUS Phone: E-mail: MLC Shifts: Office Hours: Fall 2007 (517) 884-1473 agirseve@math.msu.edu Monday, Wednesday 12:40 pm 1:40
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Names Math 202 Section 4 Show your work in all problems. 1 2 3 Total QUIZ 2 SOLUTIONS Jan 23, 2008 1. Tim is looking through the small hole of his toy periscope. Using reflected light rays show which part of the picture frame he can see (shade visible par
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Geometric Constructions using Straightedge and Compass A geometric construction is an accurate drawing of a shape using only the following tools: 1. Straightedge: A ruler without markings on it. Can be used to draw straight lines. Can\'t be used for measur
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Names Math 202 Section 4 Show your work in all problems. 1 2 3 Total QUIZ 4 SOLUTIONS Feb 4, 2008 1. Construct the following using straightedge and compass only. This means there should be no guessing involved, only using measurable distances (with compas
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Activity on Translations, Rotations and Reflections Do the following transformations starting with the initial location, and then continuing with the most recent location. 1) 2) 3) 4) Translate 5 units to the right Reflect along the dotted line Rotate 90
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Activity on Translations, Rotations and Reflections Do the following transformations starting with the initial location, and then continuing with the most recent location. 1) 2) 3) 4) Translate 5 units to the right Reflect along the dotted line Rotate 90
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Names Math 202 Section 4 Show your work in all problems. 1 2 3 Total QUIZ 5 SOLUTIONS Feb 15, 2008 1. (a) Define rotation. Describe how points in the plane move for a given rotation (for a given center and angle of rotation). Does every point move? A rota
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Interlocking dancing dogs A quick example in creating an Escher-like tessellation based on rotational symmetry. Try different patterns to replace the two edges, and the other two are obtained by rotation. Before tessellating the plane be creative and draw
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Names Math 202 Section 4 Show your work in all problems. 1 2 3 Total QUIZ 6 SOLUTIONS Feb 22, 2008 1. Hand in your Escher-like design with the quiz sheet. 2. Find the symmetries in the following designs. For rotation symmetries mark the center, for (glide
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Math 202 Section 4 Show your work in all problems. QUIZ 8 SOLUTIONS Mar 24, 2008 1. (a) Draw three dierent shapes that have an area of 4 square centimeters. 1. (b) Draw three dierent shapes that have a perimeter of 7 centimeters. two sides of an equilater
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Durusoy Durusoy Durusoy Durusoy Durusoy
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Math 202 Section 4 Show your work in all problems. QUIZ 9 SOLUTIONS Mar 31, 2008 1. Find the area of the following in two dierent ways. Some possible ways: completing to a bigger shape, cutting into familiar shapes, cutting and rearranging to get a famili
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MATH 202 EXAM 3 Sample problems
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