Geometry Connections / Edition 1

Geometry Connections / Edition 1

ISBN-10:
0131449265
ISBN-13:
9780131449268
Pub. Date:
08/29/2005
Publisher:
Pearson

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Overview

Geometry Connections / Edition 1

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 teachers’ 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.

Product Details

ISBN-13: 9780131449268
Publisher: Pearson
Publication date: 08/29/2005
Series: Connections in Mathematics Course for Teachers Series
Edition description: New Edition
Pages: 320
Product dimensions: 6.90(w) x 9.00(h) x 0.70(d)

Table of Contents

CONTENTS

Note: All chapters end with a Chapter Review.

Preface

List of Numbered Figures

List of Classroom Connections

List of Classroom Discussions

Chapter 1: Euclid’s Geometry

Euclid's postulates and common notions

Using logic

Notation and measurement

Polygons and solids

Measuring the earth's radius

Chapter 2: Congruent Figures, Areas and Volumes

Congruent triangles

Parallel lines

Quadrilaterals

Areas of figures

Circles

Volumes and surface areas

Chapter 3: Similarity

Similar Polygons

Applications of similar triangles

Pythagorean Theorem

Area and perimeter of similar figures

Similarity for more general figures

Chapter 4. Rigid Motions and Symmetry

Reflections over lines and orientation

Translations, rotations, and glide-reflections

Symmetries

Isometries in space

Chapter 5. Vectors and Transformations

Vectors as oriented line segments

Representing vectors with coordinates

Matrices

Transformations using matrices

Isometries and orthogonal matrices

Isometries and complex numbers

Chapter 6. Three Other Geometries

Taxicab Geometry

Spherical Geometry

Hyperbolic Geometry

Appendix I Geometer's Sketchpad

Appendix II Euclid's Assumptions

Appendix III Selected Geometry Formulas

Glossary

Answers and hints for odd exercises

Index

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