Core Connections Integrated II Book Cover

Core Connections Integrated II

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Chapter 1: Exploring Algebraic and Geometric Relationships
 Opening 1.OP Chapter Opening Section 1.1 1.1.1 Attributes of Polygons 1.1.2 More Attributes of Polygons Section 1.2 1.2.1 Making Predictions and Investigating Results 1.2.2 Perimeters and Areas of Enlarging Patterns 1.2.3 Area as a Product and a Sum 1.2.4 Describing a Graph Section 1.3 1.3.1 Angle Pair Relationships 1.3.2 Angles Formed by Transversals 1.3.3 More Angles Formed by Transversals 1.3.4 Angles and Sides of a Triangle Closure 1.CL Chapter Closure

Chapter 2: Justification and Similarity
 Opening 2.OP Chapter Opening Section 2.1 2.1.1 Triangle Congruence Theorems 2.1.2 Flowcharts for Congruence 2.1.3 Converses 2.1.4 Proof by Contradiction Section 2.2 2.2.1 Dilations 2.2.2 Similarity Section 2.3 2.3.1 Conditions for Triangle Similarity 2.3.2 Determining Similar Triangles 2.3.3 Applying Similarity 2.3.4 Similar Triangle Proofs Closure 2.CL Chapter Closure

Chapter 3: Probability and Trigonometry
 Opening 3.OP Chapter Opening Section 3.1 3.1.1 Using an Area Model 3.1.2 Using a Tree Diagram 3.1.3 Probability Models 3.1.4 Unions, Intersections, and Complements 3.1.5 Expected Value Section 3.2 3.2.1 Constant Ratios in Right Triangles 3.2.2 Connecting Slope Ratios to Specific Angles 3.2.3 Expanding the Trig Table 3.2.4 The Tangent Ratio 3.2.5 Applying the Tangent Ratio Closure 3.CL Chapter Closure

Chapter 4: Factoring and More Trigonometry
 Opening 4.OP Chapter Opening Section 4.1 4.1.1 Introduction to Factoring Expressions 4.1.2 Factoring with Area Models 4.1.3 Factoring More Quadratics 4.1.4 Factoring Completely 4.1.5 Factoring Special Cases Section 4.2 4.2.1 Sine and Cosine Ratios 4.2.2 Selecting a Trig Tool 4.2.3 Inverse Trigonometry 4.2.4 Trigonometric Applications Closure 4.CL Chapter Closure

Chapter 5: Quadratic Functions
 Opening 5.OP Chapter Opening Section 5.1 5.1.1 Investigating the Graphs of Quadratic Functions 5.1.2 Multiple Representations of Quadratic Functions 5.1.3 Zero Product Property 5.1.4 Writing Equations for Quadratic Functions 5.1.5 Completing the Quadratic Webs Section 5.2 5.2.1 Perfect Square Equations 5.2.2 Completing the Square 5.2.3 More Completing the Square 5.2.4 Introduction to the Quadratic Formula 5.2.5 Solving and Applying Quadratic Equations 5.2.6 Introducing Complex Numbers Closure 5.CL Chapter Closure

Chapter 6: More Right Triangles
 Opening 6.OP Chapter Opening Section 6.1 6.1.1 Special Right Triangles 6.1.2 Pythagorean Triples 6.1.3 Special Right Triangles and Trigonometry 6.1.4 Radicals and Fractional Exponents Section 6.2 6.2.1 At Your Service 6.2.2 Angles on a Pool Table 6.2.3 Shortest Distance Problems 6.2.4 The Number System and Deriving the Quadratic Formula 6.2.5 Using Algebra to Find a Maximum 6.2.6 Analyzing a Game Closure 6.CL Chapter Closure

Chapter 7: Proof and Conditional Probability
 Opening 7.OP Chapter Opening Section 7.1 7.1.1 Explore-Conjecture-Prove 7.1.2 Properties of Rhombi 7.1.3 Two Column Proofs 7.1.4 More Geometric Proofs 7.1.5 Using Similar Triangles to Prove Theorems Section 7.2 7.2.1 Conditional Probability and Independence 7.2.2 More Conditional Probability 7.2.3 Applications of Probability Closure 7.CL Chapter Closure

Chapter 8: Polygons and Circles
 Opening 8.OP Chapter Opening Section 8.1 8.1.1 Constructing Triangle Centers Section 8.2 8.2.1 Angles of Polygons 8.2.2 Areas of Regular Polygons Section 8.3 8.3.1 Area Ratios of Similar Figures 8.3.2 Ratios of Similarity Section 8.4 8.4.1 A Special Ratio 8.4.2 Arcs and Sectors 8.4.3 Circles in Context Closure 8.CL Chapter Closure

Chapter 9: Modeling with Functions
 Opening 9.OP Chapter Opening Section 9.1 9.1.1 Modeling Nonlinear Data 9.1.2 Parabola Investigation 9.1.3 Graphing Form of a Quadratic Function 9.1.4 Transforming the Absolute Value Function Section 9.2 9.2.1 Quadratic Applications with Inequalities 9.2.2 Solving Systems of Equations Section 9.3 9.3.1 Average Rate of Change and Projectile Motion 9.3.2 Comparing the Growth of Functions 9.3.3 Piecewise-Defined Functions 9.3.4 Combining Functions Section 9.4 9.4.1 Inverse Functions Closure 9.CL Chapter Closure

Chapter 10: Circles and More
 Opening 10.OP Chapter Opening Section 10.1 10.1.1 The Equation of a Circle 10.1.2 Completing the Square for Equations of Circles 10.1.3 The Geometric Definition of a Parabola Section 10.2 10.2.1 Introduction to Chords 10.2.2 Angles and Arcs 10.2.3 Chords and Angles 10.2.4 Tangents 10.2.5 Tangents and Arcs Closure 10.CL Chapter Closure

Chapter 11: Solids
 Opening 11.OP Chapter Opening Section 11.1 11.1.1 Prisms and Cylinders 11.1.2 Volumes of Similar Solids 11.1.3 Ratios of Similarity Section 11.2 11.2.1 Volume of a Pyramid 11.2.2 Surface Area and Volume of a Cone 11.2.3 Surface Area and Volume of a Sphere Closure 11.CL Chapter Closure

Chapter 12: Counting and Closure
 Opening 12.OP Chapter Opening Section 12.1 12.1.1 The Fundamental Counting Principle 12.1.2 Permutations 12.1.3 Combinations 12.1.4 Categorizing Counting Problems Section 12.2 12.2.1 Using Geometry to Calculate Probabilities 12.2.2 Choosing a Model 12.2.3 The Golden Ratio 12.2.4 Some Challenging Probability Problems Closure 12.CL Chapter Closure

Checkpoint Materials
 CP 1: Solving Problems with Linear and Exponential Relationships CP 2: Calculating Areas and Perimeters of Complex Shapes CP 3: Angle Relationships in Geometric Figures CP 4: Solving Proportions and Similar Figures CP 5: Calculating Probabilities CP 7: Factoring Quadratic Expressions CP 8: Applying Trigonometric Ratios and the Pythagorean Theorem CP 9: The Quadratic Web CP 10: Solving Quadratic Equations CP 11: Angle Measures and Areas of Regular Polygons CP 12: Circles, Arcs, Sectors, Chords, and Tangents

Glossary
Index

RESOURCE PAGES

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Chapter 1: Exploring Algebraic and Geometric Relationships
Chapter 2: Justification and Similarity
Chapter 3: Probability and Trigonometry
Chapter 4: Factoring and More Trigonometry
Chapter 5: Quadratic Functions
Chapter 6: More Right Triangles
Chapter 7: Proof and Conditional Probability
Chapter 8: Polygons and Circles
Chapter 9: Modeling with Functions
Chapter 10: Circles and More
Chapter 11: Solids
Chapter 12: Counting 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 Guide by Chapter

Chapter 1: Exploring Algebraic and Geometric Relationships
Chapter 2: Justification and Similarity
Chapter 3: Probability and Trigonometry
Chapter 4: Factoring and More Trigonometry
Chapter 5: Quadratic Functions
Chapter 6: More Right Triangles
Chapter 7: Proof and Conditional Probability
Chapter 8: Polygons and Circles
Chapter 9: Modeling with Functions
Chapter 10: Circles and More
Chapter 11: Solids
Chapter 12: Counting and Closure

ETOOLS/VIDEOS

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General eTools
Chapter 1: Exploring Algebraic and Geometric Relationships
Chapter 2: Justification and Similarity
Chapter 3: Probability and Trigonometry
Chapter 4: Factoring and More Trigonometry
Chapter 5: Quadratic Functions
Chapter 6: More Right Triangles
Chapter 7: Proof and Conditional Probability
Chapter 8: Polygons and Circles
Chapter 9: Modeling with Functions
Chapter 10: Circles and More
Chapter 11: Solids
Chapter 12: Counting and Closure
Lesson Videos

PÁGINAS DE RECURSOS

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Capítulo 1: Exploración de relaciones algebraicas y geométricas
Capítulo 2: Justificación y semejanzas
Capítulo 3: Probabilidad y trigonometría
Capítulo 4: Factorización y más trigonometría
Capítulo 5: Funciones cuadráticas
Capítulo 6: Más triángulos rectángulos
Capítulo 7: Demostración y probabilidad condicional
Capítulo 8: Polígonos y círculos
Capítulo 9: Modelado con funciones
Capítulo 10: Círculos y más
Capítulo 11: Sólidos
Capítulo 12: Conteo y cierre