Core Connections Geometry Book Cover

Core Connections Geometry Book Cover

Core Connections Geometry

Additional Textbook Resources


TABLE OF CONTENTS

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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

Chapter 7: Proof and Quadrilaterals
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
 
 

RESOURCE PAGES

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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 7: Proof and Quadrilaterals
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

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 topic. 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 7: Proof and Quadrilaterals
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:

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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 7: Proof and Quadrilaterals
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

PÁGINAS DE RECURSOS

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Capítulo 1: Figuras y transformaciones
Capítulo 2: Ángulos y medidas
Capítulo 3: Justificación y semejanzas
Capítulo 4: Trigonometría y probabilidad
Capítulo 5: Completando la caja de herramientas de triángulos
Capítulo 6: Triángulos congruentes
Capítulo 7: Demostración y cuadriláteros
Capítulo 8: Polígonos y círculos
Capítulo 9: Sólidos y construcciones
Capítulo 10: Círculos y probabilidad condicional
Capítulo 11: Sólidos y círculos
Capítulo 12: Figuras cónicas y cierre

GUÍA PARA PADRES CON PRÁCTICA ADICIONAL

Bienvenidos a la Guía para padres con práctica adicional de Core Connections en español, Geometría. El objeto de la presente guía es brindarles ayuda si su hijo o hija necesita ayuda con las tareas o con los conceptos que se enseñan en el curso. Consideramos que a todos los alumnos les puede ir bien en matemática, siempre que estén dispuestos a trabajar y a pedir ayuda cuando la necesitan. Les recomendamos que hablen con el docente de su hijo o hija si ellos tienen preguntas adicionales que no se responden en esta guía.

Guía para padres con práctica adicional por capítulo: