Chapter 1: Visual Thinking and Mathematical Models
1-1 Using Familiar Models
1-2 Reasoning and Logic
1-3 Measuring Figures
1-4 Symmetry and Reflections
Chapter 2: The Foundations of Geometry
2-1 The Need for Precise Language
2-2 Stating Our Assumptions
2-3 Drawing Techniques and Parallel Lines
Chapter 3: Angles and Parallel Lines
3-1 Angles and Navigation
3-2 Rotations
3-3 Precise Thinking with Angles
3-4 Parallel Lines and Transversals
Chapter 4: Triangles
4-1 Tessellations and Triangles
4-2 Deductive Proof with Triangles
4-3 Properties of Special Triangles
Chapter 5: Area
5-1 Understanding and Applying Area
5-2 Derivations of Area Formulas
5-3 The Pythagorean Theorem
Chapter 6: Polygons and Polyhedrons
6-1 Polygons and Polyhedrons
6-2 Deductive Proof with Quadrilaterals
6-3 Regular Polygons and Polyhedrons
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Chapter 7: Similarity
7-1 Similar Figures
7-2 Properties of Similar Figures
7-3 Trigonometry
Chapter 8: Circles and Spheres
8-1 Circles, Circumference, and Area
8-2 Angles, Arcs, and Chords
8-3 The Inscribed Angle Theorem
Chapter 9: Surface Area and Volume
9-1 Surface Area
9-2 Volume
9-3 Similar Solids
Chapter 10: Transformations and Patterns
10-1 Putting Transformations Together
10-2 Classifying Patterns
Chapter 11: Geometric Inequalities and Optimization
11-1 Indirect Reasoning and Inequalities
11-2 Optimization
Chapter 12: Astronomy and Geometric Models
12-1 Using Geometry to Model Earth
12-2 Euclidean and Non-Euclidean
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