Outline
MR. GREEN'S CLASS DIGITAL GEOMETRY STUDENT NOTEBOOK
Table of Contents
INTRODUCTION
CHAPTER 1
- 1.1.1 Creating a Quilt Using Symmetry
- 1.1.2 Making Predictions and Investigating Results
- 1.1.3 Perimeter and Areas of Enlarging Tile Patterns
- 1.1.4 Logical Arguments
- 1.1.5 Building a Kaleidoscope
- 1.2.1 Spatial Visualization and Reflection
- 1.2.2 Rigid Transformations: Rotations and Translations
- 1.2.3 Slope of Parallel and Perpendicular Lines
- 1.2.4 Using Transformations
- 1.2.5 Using Transformations to Create Shapes
- 1.2.6 Symmetry
- 1.3.1 Attributes and Characteristics of Shapes
- 1.3.2 More Characteristics of Shapes
CHAPTER 2
- 2.1.1 Complementary, Supplementary, and Vertical Angles
- 2.1.2 Angles Formed by Transversals
- 2.1.3 More Angles Formed by Transversals
- 2.1.4 Angles in a Triangle
- 2.1.5 Applying Angle Relationships
- 2.2.1 Units of Measure
- 2.2.2 Areas of Triangles and Composite Shapes
- 2.2.3 Areas of Parallelograms and Trapezoids
- 2.2.4 Heights and Areas
- 2.3.1 Triangle Inequality
- 2.3.2 The Pythagorean Theorem
CHAPTER 3
CHAPTER 4
- 4.1.1 Constant Ratios in Right Triangles
- 4.1.2 Connecting Slope Ratios to Specific Angles
- 4.1.3 Expanding the Trig Table
- 4.1.4 The Tangent Ratio
- 4.1.5 Applying the Tangent Ratio
- 4.2.1 Using an Area Model
- 4.2.2 Using a Tree Diagram
- 4.2.3 Probability Models
- 4.2.4 Unions, Intersections, and Complements
- 4.2.5 Expected Value
CHAPTER 5
- 5.1.1 Sine and Cosine Ratios
- 5.1.2 Selecting a Trig Tool
- 5.1.3 Inverse Trigonometry
- 5.1.4 Applications
- Mr. Green's Angry Trig Birds!
- 5.2.1 Special Right Triangles
- 5.2.2 Pythagorean Triples
- 5.3.1 Finding Missing Parts of Triangles
- 5.3.2 Law of Sines
- 5.3.3 Law of Cosines
- 5.3.4 Ambiguous Triangles
- 5.3.5 Choosing a Tool
CHAPTER 6
- 6.1.1 Congruent Triangles
- 6.1.2 Conditions for Triangle Congruence
- 6.1.3 Congruence of Triangles Through Rigid Transformations
- 6.1.4 Flowcharts for Congruence
- 6.1.5 Converses
- 6.2.1 Angles on a Pool Table
- 6.2.2 Investigating a Triangle
- 6.2.3 Creating a Mathematical Model
- 6.2.4 Analyzing a Game
- 6.2.5 Using Transformations and Symmetry to Design Snowflakes
CHAPTER 7
- 7.1.1 Properties of a Circle
- 7.1.2 Building a Tetrahedron
- 7.1.3 Shortest Distance Problems
- 7.1.4 Using Symmetry to Study Polygons
- 7.2.1 Special Quadrilaterals and Proof
- 7.2.2 Properties of Rhombi
- 7.2.3 More Proof with Congruent Triangles
- 7.2.4 More Properties of Quadrilaterals
- 7.2.5 Two-Column Proofs
- 7.2.6 Explore-Conjecture-Prove
- 7.3.1 Studying Quadrilaterals on a Coordinate Grid
- 7.3.2 Coordinate Geometry and Midpoints
- 7.3.3 Identifying Quadrilaterals on a Coordinate Grid
CHAPTER 8
- 8.1.1 Pinwheels and Polygons
- 8.1.2 Interior Angles of a Polygon
- 8.1.3 Angles of Regular Polygons
- 8.1.4 Regular Polygon Angle Connections
- 8.1.5 Finding Areas of Regular Polygons
- 8.2.1 Area Ratios of Similar Figures
- 8.2.2 Ratios of Similarity
- 8.3.1 A Special Ratio
- 8.3.2 Area and Circumference of a Circle
- 8.3.3 Circles in Context
- 8.3.3 Circles in Context
CHAPTER 9