9780761975991

Making Geometry Come Alive : Student Activities and Teacher Notes

by
  • ISBN13:

    9780761975991

  • ISBN10:

    0761975993

  • Format: Paperback
  • Copyright: 2000-07-22
  • Publisher: Sage Pubns
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Table of Contents

Introduction v
About the Author xi
Constructions
1(29)
Constructing Segments
3(4)
Constructing Radical Lengths
7(5)
Trisecting a Circle
12(4)
Trisecting an Angle
16(4)
Constructing a Pentagon
20(4)
Constructing Triangles
24(6)
Problems of Antiquity
30(20)
The Pythagorean Theorem
32(5)
The Golden Rectangle
37(5)
The Golden Triangle
42(4)
The Arbelos
46(4)
Post-Euclidean Theorems
50(25)
Ptolemy's Theorem
52(4)
Ceva's Theorem
56(5)
Stewart's Theorem
61(5)
Simson's Theorem
66(4)
Napoleon's Theorem
70(5)
Non-Euclidean Geometry
75(20)
Taxicab Geometry
77(5)
Transformational Geometry--Symmetry
82(4)
Projective Geometry
86(5)
Spherical Geometry
91(4)
Solid Geometry
95(18)
This Warps It Up
97(4)
Regular Polyhedra
101(4)
Cavalieri's Principle
105(4)
The Jolly Green Giant?
109(4)
Geometric Applications
113(23)
Mathematics on a Billiard Table
115(4)
Bypassing an Inaccessible Region
119(4)
The Inaccessible Angle
123(4)
Minimizing distances
127(5)
Problem Solving--A Reverse Strategy
132(4)
Geometric Puzzlers
136(27)
Geometric Fallacies
138(5)
The Nine-Point Circle
143(5)
Equicircles
148(5)
More Equicircles
153(5)
Locus Methods
158(5)
Resource A: List of Activities and the NCTM Standards Addressed by Each 163

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