Core Connections Geometry Book Cover

## Core Connections Geometry

### STUDENTS/PARENTS (ENGLISH)

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Chapter 1: Shapes and Transformations
 Opening 1.OP Chapter Opening Section 1.1 1.1.1 Creating 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 Section 1.2 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 Section 1.3 1.3.1 Attributes and Characteristics of Shapes 1.3.2 More Characteristics of Shapes Closure 1.CL Chapter Closure

Chapter 2: Angles and Measurement
 Opening 2.OP Chapter Opening Section 2.1 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 Triangles 2.1.5 Applying Angle Relationships Section 2.2 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 Section 2.3 2.3.1 Triangle Inequality 2.3.2 The Pythagorean Theorem Closure 2.CL Chapter Closure

Chapter 3: Justification and Similarity
 Opening 3.OP Chapter Opening Section 3.1 3.1.1 Dilations 3.1.2 Similarity 3.1.3 Using Ratios of Similarity 3.1.4 Applications and Notation Section 3.2 3.2.1 Conditions for Triangle Similarity 3.2.2 Creating a Flowchart 3.2.3 Triangle Similarity and Congruence 3.2.4 More Conditions for Triangle Similarity 3.2.5 Determining Similarity 3.2.6 Applying Similarity Closure 3.CL Chapter Closure

Chapter 4: Trignometry and Probability
 Opening 4.OP Chapter Opening Section 4.1 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 Section 4.2 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 Closure 4.CL Chapter Closure

Chapter 5: Completing the Triangle Toolkit
 Opening 5.OP Chapter Opening Section 5.1 5.1.1 Sine and Cosine Ratios 5.1.2 Selecting a Trig Tool 5.1.3 Inverse Trigonometry 5.1.4 Applications Section 5.2 5.2.1 Special Right Triangles 5.2.2 Pythagorean Triples Section 5.3 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 (Optional) 5.3.5 Choosing a Tool Closure 5.CL Chapter Closure

Chapter 6: Congruent Triangles
 Opening 6.OP Chapter Opening Section 6.1 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 Section 6.2 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 Closure 6.CL Chapter Closure

 Opening 7.OP Chapter Opening Section 7.1 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 Section 7.2 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 Section 7.3 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 Closure 7.CL Chapter Closure

Chapter 8: Polygons and Circles
 Opening 8.OP Chapter Opening Section 8.1 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 Section 8.2 8.2.1 Area Ratios of Similar Figures 8.2.2 Ratios of Similarity Section 8.3 8.3.1 A Special Ratio 8.3.2 Area and Circumference of a Circle 8.3.3 Circles in Context Closure 8.CL Chapter Closure

Chapter 9: Solids and Construction
 Opening 9.OP Chapter Opening Section 9.1 9.1.1 Three-Dimensional Solids 9.1.2 Volume and Surface Area of Prisms 9.1.3 Prisms and Cylinders 9.1.4 Volumes of Similar Solids 9.1.5 Ratios of Similarity Section 9.2 9.2.1 Introduction to Constructions 9.2.2 Constructing Bisectors 9.2.3 More Explorations with Constructions 9.2.4 Other Constructions Closure 9.CL Chapter Closure

Chapter 10: Circles and Conditional Probability
 Opening 10.OP Chapter Opening Section 10.1 10.1.1 Introduction to Chords 10.1.2 Angles and Arcs 10.1.3 Chords and Angles 10.1.4 Tangents and Secants 10.1.5 Problem Solving with Circles Section 10.2 10.2.1 Conditional Probability and Independence 10.2.2 Two-Way Tables 10.2.3 Applications of Probability Section 10.3 10.3.1 The Fundamental Principle of Counting 10.3.2 Permutations 10.3.3 Combinations 10.3.4 Categorizing Counting Problems 10.3.5 Some Challenging Probability Problems Closure 10.CL Chapter Closure

Chapter 11: Solids and Circles
 Opening 11.OP Chapter Opening Section 11.1 11.1.1 Platonic Solids 11.1.2 Pyramids 11.1.3 Volume of a Pyramid 11.1.4 Surface Area and Volume of a Cone 11.1.5 Surface Area and Volume of a Sphere Section 11.2 11.2.1 Coordinates on a Sphere 11.2.2 Tangents and Arcs 11.2.3 Secant and Tangent Relationships Closure 11.CL Chapter Closure

Chapter 12: Conics and Closure
 Chapter 12.1 12.1.1 The Equation of a Circle 12.1.2 Completing the Square for Equations of Circles 12.1.3 Introduction to Conic Sections 12.1.4 Graphing a Parabola Using the Focus and Directrix Section 12.2 12.2.1 Using Coordinate Geometry and Construction to Explore Shapes 12.2.2 Euler’s Formula for Polyhedra 12.2.3 The Golden Ratio 12.2.4 Using Geometry to Find Probability Closure 12.CL Chapter Closure

Checkpoint Materials
 CP 1: Solving Linear Equations CP 2: Solving Linear Systems of Equations CP 3: Linear Equations from Multiple Representations CP 4: Finding the Areas and Perimeters of Complex Shapes CP 5A: Multiplying Polynomials and Solving Quadratics CP 5B: Writing Equations for Arithmetic and Geometric Sequences CP 6: Solving Proportional Equations and Similar Figures CP 7: Solving with Trigonometric Ratios and the Pythagorean Theorem CP 8: Angle Relationships in Triangles and Lines CP 9A: Probabilities with Unions, Intersections, and Complements CP 9B: Exponential Functions CP 10: Finding Angles in and Areas of Regular Polygons CP 11: Volumes and Surface Areas of Prisms and Cylinders

Glossary
Index

### PARENT GUIDE W/ EXTRA PRACTICE

Sometimes students want an alternative explanation of an idea along with additional practice problems. The Parent Guide resources are arranged by chapter and strand. The format of these resources is a brief restatement of the idea, some typical examples, practice problems, and the answers to those problems.

The Parent Guide is available as a printed copy for purchase at the CPM Web Store or accessible free below.

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Parent Guides by Chapter

Chapter 1: Shapes and Transformations
Chapter 2: Angles and Measurement
Chapter 3: Justification and Similarity
Chapter 4: Trigonometry and Probability
Chapter 5: Completing the Triangle Toolkit
Chapter 6: Congruent Triangles
Chapter 8: Polygons and Circles
Chapter 9: Solids and Constructions
Chapter 10: Circles and Conditional Probability
Chapter 11: Solids and Circles
Chapter 12: Conics and Closure

Algebra Practice 1:
Algebra Practice 2:

### ETOOLS/VIDEOS

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General eTools
Chapter 1: Shapes and Transformations
Chapter 2: Angles and Measurement
Chapter 3: Justification and Similarity
Chapter 4: Trigonometry and Probability
Chapter 5: Completing the Triangle Toolkit
Chapter 6: Congruent Triangles
Chapter 8: Polygons and Circles
Chapter 9: Solids and Constructions
Chapter 10: Circles and Conditional Probability
Chapter 11: Solids and Circles
Chapter 12: Conics and Closure