Discovering Geometry: An Investigative Approach,9781559535953

Discovering Geometry: An Investigative Approach

by ; ; ;
Edition: Student
ISBN13: 9781559535953
ISBN10: 1559535954
Format: Paperback
Pub. Date: 2003-01-31
Publisher(s): Key Curriculum Pr
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Table of Contents

Introduction vii
Chapter 1
Lesson 1.1: Building Blocks of Geometry
1(1)
Lesson 1.2: Poolroom Math
2(1)
Lesson 1.3: What's a Widget?
3(1)
Lesson 1.4: Polygons
4(1)
Lesson 1.5: Triangles and Special Quadrilaterals
5(1)
Lesson 1.6: Circles
6(1)
Lesson 1.7: A Picture Is Worth a Thousand Words
7(1)
Lesson 1.8: Space Geometry
8(1)
Chapter 2
Lesson 2.1: Inductive Reasoning
9(1)
Lesson 2.2: Deductive Reasoning
10(1)
Lesson 2.3: Finding the nth Term
11(1)
Lesson 2.4: Mathematical Modeling
12(1)
Lesson 2.5: Angle Relationships
13(1)
Lesson 2.6: Special Angles on Parallel Lines
14(1)
Chapter 3
Lesson 3.1: Duplicating Segments and Angles
15(1)
Lesson 3.2: Constructing Perpendicular Bisectors
16(1)
Lesson 3.3: Constructing Perpendiculars to a Line
17(1)
Lesson 3.4: Constructing Angle Bisectors
18(1)
Lesson 3.5: Constructing Parallel Lines
19(1)
Lesson 3.6: Construction Problems
20(1)
Lesson 3.7: Constructing Points of Concurrency
21(1)
Lesson 3.8: The Centroid
22(1)
Chapter 4
Lesson 4.1: Triangle Sum Conjecture
23(1)
Lesson 4.2: Properties of Special Triangles
24(1)
Lesson 4.3: Triangle Inequalities
25(1)
Lesson 4.4: Are There Congruence Shortcuts?
26(1)
Lesson 4.5: Are There Other Congruence Shortcuts?
27(1)
Lesson 4.6: Corresponding Parts of Congruent Triangles
28(1)
Lesson 4.7: Flowchart Thinking
29(1)
Lesson 4.8: Proving Isosceles Triangle Conjectures
30(1)
Chapter 5
Lesson 5.1: Polygon Sum Conjecture
31(1)
Lesson 5.2: Exterior Angles of a Polygon
32(1)
Lesson 5.3: Kite and Trapezoid Properties
33(1)
Lesson 5.4: Properties of Midsegments
34(1)
Lesson 5.5: Properties of Parallelograms
35(1)
Lesson 5.6: Properties of Special Parallelograms
36(1)
Lesson 5.7: Proving Quadrilateral Properties
37(1)
Chapter 6
Lesson 6.1: Chord Properties
38(1)
Lesson 6.2: Tangent Properties
39(1)
Lesson 6.3: Arcs and Angles
40(1)
Lesson 6.4: Proving Circle Conjectures
41(1)
Lesson 6.5: The Circumference/Diameter Ratio
42(1)
Lesson 6.6: Around the World
43(1)
Lesson 6.7: Arc Length
44(1)
Chapter 7
Lesson 7.1: Transformations and Symmetry
45(1)
Lesson 7.2: Properties of Isometries
46(1)
Lesson 7.3: Compositions of Transformations
47(1)
Lessons 7.4--7.8: Tessellations
48(1)
Chapter 8
Lesson 8.1: Areas of Rectangles and Parallelograms
49(1)
Lesson 8.2: Areas of Triangles, Trapezoids, and Kites
50(1)
Lesson 8.3: Area Problems
51(1)
Lesson 8.4: Areas of Regular Polygons
52(1)
Lesson 8.5: Areas of Circles
53(1)
Lesson 8.6: Any Way You Slice It
54(1)
Lesson 8.7: Surface Area
55(1)
Chapter 9
Lesson 9.1: The Theorem of Pythagoras
56(1)
Lesson 9.2: The Converse of the Pythagorean Theorem
57(1)
Lesson 9.3: Two Special Right Triangles
58(1)
Lesson 9.4: Story Problems
59(1)
Lesson 9.5: Distance in Coordinate Geometry
60(1)
Lesson 9.6: Circles and the Pythagorean Theorem
61(1)
Chapter 10
Lesson 10.1: The Geometry of Solids
62(1)
Lesson 10.2: Volume of Prisms and Cylinders
63(1)
Lesson 10.3: Volume of Pyramids and Cones
64(1)
Lesson 10.4: Volume Problems
65(1)
Lesson 10.5: Displacement and Density
66(1)
Lesson 10.6: Volume of a Sphere
67(1)
Lesson 10.7: Surface Area of a Sphere
68(1)
Chapter 11
Lesson 11.1: Similar Polygons
69(1)
Lesson 11.2: Similar Triangles
70(1)
Lesson 11.3: Indirect Measurement with Similar Triangles
71(1)
Lesson 11.4: Corresponding Parts of Similar Triangles
72(1)
Lesson 11.5: Proportions with Area and Volume
73(1)
Lesson 11.6: Proportional Segments Between Parallel Lines
74(1)
Chapter 12
Lesson 12.1: Trigonometric Ratios
75(1)
Lesson 12.2: Problem Solving with Right Triangles
76(1)
Lesson 12.3: The Law of Sines
77(1)
Lesson 12.4: The Law of Cosines
78(1)
Lesson 12.5: Problem Solving with Trigonometry
79(1)
Chapter 13
Lesson 13.1: The Premises of Geometry
80(1)
Lesson 13.2: Planning a Geometry Proof
81(1)
Lesson 13.3: Triangle Proofs
82(1)
Lesson 13.4: Quadrilateral Proofs
83(1)
Lesson 13.5: Indirect Proof
84(1)
Lesson 13.6: Circle Proofs
85(1)
Lesson 13.7: Similarity Proofs
86

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