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Geometry Connections,9780131449268
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Geometry Connections

by ;
Edition:
1st
ISBN13:

9780131449268

ISBN10:
0131449265
Format:
Paperback
Pub. Date:
8/15/2005
Publisher(s):
Pearson
List Price: $103.00

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Summary

With challenging new standards-based middle school mathematics curricula now in place, future teachers need college-level mathematics courses that better prepare them for their professional careers. This handbook presents a rigorous review of college-level geometry, designed to equip middle grade mathematics teachers with the skills needed for teaching NCTM (National Council of Teachers of Mathematics) Standards-based curricula. Contains geometry which middle school mathematics teachers will actually have to teach, as well as additional material to deepen future teachersrs" knowledge and understanding of geometry. Demonstrate the presentation and use of geometry in the middle school to assist students in linking the typical college geometry course with the standards-based concepts taught by middle school teachers. Includes a variety of activities designed to deepen the connections between the geometry students are studying now and the geometry they will teach.For anyone interested in learning more about geometry.

Table of Contents

Preface vii
List of Numbered Figures
xi
List of Classroom Connections
xiii
List of Classroom Discussions
xv
Euclid's Geometry
1(34)
Euclid's Postulates and Common Notions
2(1)
Using Logic
3(8)
Notation and Measurement
11(8)
Polygons and Solids
19(9)
Measuring the Earth's Radius
28(7)
Chapter 1 Review
31(2)
Chapter 1 Review Exercises
33(1)
Related Reading for Chapter 1
33(2)
Congruent Figures, Areas, and Volumes
35(57)
Congruent Triangles
35(13)
Parallel Lines
48(9)
Quadrilaterals
57(4)
Areas of Figures
61(8)
Circles
69(6)
Volumes and Surface Areas
75(17)
Chapter 2 Review
86(2)
Chapter 2 Review Exercises
88(2)
Related Reading for Chapter 2
90(2)
Similarity
92(40)
Similar Polygons
92(6)
Applications of Similar Triangles
98(8)
Pythagorean Theorem
106(10)
Area and Perimeter of Similar Figures
116(7)
Similarity for More General Figures
123(9)
Chapter 3 Review
127(1)
Chapter 3 Review Exercises
128(3)
Related Reading for Chapter 3
131(1)
Rigid Motions and Symmetry
132(30)
Reflections Over Lines and Orientation
133(6)
Translations, Rotations, and Glide-Reflections
139(7)
Symmetries
146(5)
Isometries in Space
151(11)
Chapter 4 Review
157(2)
Chapter 4 Review Exercises
159(2)
Related Reading for Chapter 4
161(1)
Vectors and Transformations
162(47)
Vectors as Oriented Line Segments
162(5)
Representing Vectors with Coordinates
167(4)
Matrices
171(8)
Transformations Using Matrices
179(10)
Isometries and Orthogonal Matrices
189(4)
Isometries and Complex Numbers
193(16)
Chapter 5 Review
202(2)
Chapter 5 Review Exercises
204(4)
Related Reading for Chapter 5
208(1)
Three Other Geometries
209(30)
Taxicab Geometry
210(6)
Spherical Geometry
216(13)
Hyperbolic Geometry
229(10)
Chapter 6 Review
234(2)
Chapter 6 Review Exercises
236(2)
Related Reading for Chapter 6
238(1)
Appendix I Geometer's Sketchpad 239(9)
Appendix II Euclid's Assumptions 248(4)
Appendix III Selected Geometry Formulas 252(3)
Glossary 255(17)
Answers and Hints for Odd Exercises 272(19)
Photo Credits 291(2)
Index 293


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