Core Connections Algebra 2 Book Cover

## Additional Textbook Resources

### STUDENTS/PARENTS (ENGLISH)

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Chapter 1: Investigations and Functions
 Opening 1.OP Chapter Opening Section 1.1 1.1.1 Solving Puzzles in Teams 1.1.2 Using a Graphing Calculator to Explore a Function 1.1.3 Domain and Range 1.1.4 Points of Intersection in Multiple Representations Section 1.2 1.2.1 Modeling a Geometric Relationship 1.2.2 Function Investigation 1.2.3 The Family of Linear Functions 1.2.4 Function Investigation Challenge Closure 1.CL Chapter Closure

Chapter 2: Transformations of Parents Graphs
 Opening 2.OP Chapter Opening Section 2.1 2.1.1 Modeling Non-Linear Data 2.1.2 Parabola Investigation 2.1.3 Graphing a Parabola Without a Table 2.1.4 Rewriting in Graphing Form 2.1.5 Mathematical Modeling with Parabolas Section 2.2 2.2.1 Transforming Other Parent Graphs 2.2.2 Describing (h,k) for Each Family of Functions 2.2.3 Transformations of Functions 2.2.4 Transforming Non-Functions 2.2.5 Transforming Piecewise-Defined Functions Closure 2.CL Chapter Closure

Chapter 3: Equivalent Forms
 Opening 3.OP Chapter Opening Section 3.1 3.1.1 Expressions 3.1.2 Rewriting Expressions and Determining Equivalence 3.1.3 Soving by Rewriting Section 3.2 3.2.1 Investigating Rational Functions 3.2.2 Simplifying Rational Expressions 3.2.3 Multiplying and Dividing Rational Expressions 3.2.4 Adding and Subtracting Rational Expressions 3.2.5 Creating New Functions Closure 3.CL Chapter Closure

Chapter 4: Solving and Intersections
 Opening 4.OP Chapter Opening Section 4.1 4.1.1 Strategies for Solving Equations 4.1.2 Solving Equations and Systems Graphically 4.1.3 Finding Multiple Solutions to Systems of Equations 4.1.4 Using Systems of Equations to Solve Problems Section 4.2 4.2.1 Solving Inequalities with One or Two Variables 4.2.2 Using Systems to Solve a Problem 4.2.3 Application of Systems of Linear Inequalities 4.2.4 Using Graphing to Find Solutions Closure 4.CL Chapter Closure

Chapter 5: Inverses and Logarithms
 Opening 5.OP Chapter Opening Section 5.1 5.1.1 ”Undo” Equations 5.1.2 Using a Graph to Find an Inverse 5.1.3 Finding Inverses and Justifying Algebraically Section 5.2 5.2.1 Finding the Inverse of an Exponential Function 5.2.2 Defining the Inverse of an Exponential Function 5.2.3 Investigating the Family of Logarithmic Functions 5.2.4 Transformations of Logarithmic Functions 5.2.5 Investigating Compositions of Functions Closure 5.CL Chapter Closure

Chapter 6: 3-D Graphing and Logarithms
 Opening 6.OP Chapter Opening Section 6.1 6.1.1 Creating a Three-Dimensional Model 6.1.2 Graphing Equations in Three Dimensions 6.1.3 Systems of Three-Variable Equations 6.1.4 Solving Systems of Three Equations with Three Unknowns 6.1.5 Using Systems of Three Equations for Curve Fitting Section 6.2 6.2.1 Using Logarithms to Solve Exponential Equations 6.2.2 Investigating the Properties of Logarithms 6.2.3 Writing Equations of Exponential Functions 6.2.4 An Application of Logarithms Closure 6.CL Chapter Closure

Chapter 7: Trigonometric Functions
 Opening 7.OP Chapter Opening Section 7.1 7.1.1 Introduction to Cyclic Models 7.1.2 Graphing the Sine Function 7.1.3 Unit Circle ↔ Graph 7.1.4 Graphing and Interpreting the Cosine Function 7.1.5 Defining a Radian 7.1.6 Building a Unit Circle 7.1.7 The Tangent Function Section 7.2 7.2.1 Transformation of y = sin x 7.2.2 One More Parameter for a Cyclic Function 7.2.3 Period of a Cyclic Function 7.2.4 Graph ↔ Equation Closure 7.CL Chapter Closure

Chapter 8: Polynomials
 Opening 8.OP Chapter Opening Section 8.1 8.1.1 Sketching Graphs of Polynomial Functions 8.1.2 More Graphs of Polynomials 8.1.3 Stretch Factor for Polynomial Functions Section 8.2 8.2.1 Introducing Imaginary Numbers 8.2.2 Complex Roots 8.2.5 More Complex Numbers and Equations Section 8.3 8.3.1 Polynomial Division 8.3.2 Factors and Integral Roots 8.3.3 An Application of Polynomials Closure 8.CL Chapter Closure

Chapter 9: Randomization and Normal Distributions
 Opening 9.OP Chapter Opening Section 9.1 9.1.1 Survey Design 9.1.2 Samples and the Role of Randomness 9.1.3 Bias in Convenience Samples Section 9.2 9.2.1 Testing Cause and Effect with Experiments 9.2.2 Conclusions From Studies Section 9.3 9.3.1 Relative Frequency Histograms 9.3.2 The Normal Probability Density Function 9.3.3 Percentiles Closure 9.CL Chapter Closure

Chapter 10: Series
 Opening 10.OP Chapter Opening Section 10.1 10.1.1 Introduction to Arithmetic Series 10.1.2 More Arithmetic Series 10.1.3 General Arithmetic Series 10.1.4 Summation Notation and Combinations of Series Section 10.2 10.2.1 Geometric Series 10.2.2 Infinite Series Section 10.3 10.3.1 Pascal’s Triangle and the Binomial Theorem 10.3.2 The Number e Closure 10.CL Chapter Closure

Chapter 11: Simulating Sampling Variability
 Opening 11.OP Chapter Opening Section 11.1 11.1.1 Simulations of Probability 11.1.2 More Simulations of Probability 11.1.3 Simulating Sampling Variability Section 11.2 11.2.1 Statistical Test Using Sampling Variability 11.2.2 Variability in Experimental Results 11.2.3 Quality Control 11.2.4 Statistical Process Control Section 11.3 11.3.1 Analyzing Decisions and Strategies Closure 11.CL Chapter Closure

Chapter 12: Analytic Trigonometry
 Chapter 12.1 12.1.1 Analyzing Trigonometric Equations 12.1.2 Solutions to Trigonometric Equations 12.1.3 Inverses of Trigonometric Functions 12.1.4 Reciprocal Trigonometric Functions Section 12.2 12.2.1 Trigonometric Identities 12.2.2 Proving Trigonometric Identities 12.2.3 Angle Sum and Difference Identities Closure 12.CL Chapter Closure

Appendix A: Sequences
 Section A.1 A.1.1 Representing Exponential Growth A.1.2 Rebound Ratios A.1.3 The Bouncing Ball and Exponential Decay Section A.2 A.2.1 Generating and Investigating Sequences A.2.2 Generalizing Arithmetic Sequences A.2.3 Recursive Sequences Section A.3 A.3.1 Patterns of Growth in Tables and Graphs A.3.2 Using Multipliers to Solve Problems A.3.3 Comparing Sequences to Functions Closure A.CL Chapter Closure

Appendix B: Exponential Functions
 Section B.1 B.1.1 Investigation y = bx B.1.2 Multiple Representations of Exponential Functions B.1.3 More Applications of Exponential Growth B.1.4 Exponential Decay B.1.5 Graph → Equation B.1.6 Completing the Multiple Representations Web Section B.2 B.2.1 Curve Fitting and Fractional Exponents B.2.2 More Curve Fitting B.2.3 Solving a System of Exponential Functions Graphically Closure B.CL Chapter Closure

Appendix C: Comparing Single-Variable Data
 Section C.1 C.1.1 Investigating Data Representations C.1.2 Comparing Data C.1.3 Standard Deviation Closure C.CL Chapter Closure

Checkpoint Materials
 CP 2A: Finding the Distance Between Two Points and the Equation of a Line CP 2B: Solving Linear Systems in Two Variables CP 3A: Expressions with Integral and Rational Exponents CP 3B: Using Function Notation and Identifying Domain and Range CP 4A: Writing Equations for Arithmetic and Geometric Sequences CP 4B: Solving for One Variable in an Equation with Two or More Variables CP 5A: Multiplying Polynomials CP 5B: Factoring Quadratics CP 6A: Multiplying and Dividing Rational Expressions CP 6B: Adding and Subtracting Rational Expressions CP 7A: Finding the x- and y-intercepts of a Quadratic Function CP 7B: Completing the Square to Find the Vertex of a Parabola CP 8A: Solving and Graphing Inequalities CP 8B: Multiplying Polynomials CP 9A: Writing and Solving Exponential Equations CP 9B: Finding the Equation for the Inverse of a Function CP 10: Rewriting Expressions and Solving Equations with Logarithms CP 11: Solving Rational Equations

Glossary
Index

### RESOURCE PAGES

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Chapter 1: Investigations and Functions
Chapter 2: Transformations of Parent Graphs
Chapter 3: Equivalent Forms
Chapter 4: Solving and Intersections
Chapter 5: Inverses and Logarithms
Chapter 6: 3-D Graphing and Logarithms
Chapter 7: Trigonometric Functions
Chapter 8: Polynomials
Chapter 9: Randomization and Normal Distributions
Chapter 10: Series
Chapter 11: Simulating Sampling Variability
Chapter 12: Analytic Trigonometry
Appendix A: Sequences
Appendix B: Exponential Functions
Appendix C: Comparing Single-Variable Data

### 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: Investigations and Functions
Chapter 2: Transformations of Parent Graphs
Chapter 3: Equivalent Forms
Chapter 4: Solving and Intersections
Chapter 5: Inverses and Logarithms
Chapter 6: 3-D Graphing and Logarithms
Chapter 7: Trigonometric Functions
Chapter 8: Polynomials
Chapter 9: Randomization and Normal Distributions
Chapter 10: Series
Chapter 11: Simulating Sampling Variability
Chapter 12: Analytic Trigonometry
Appendix A: Sequences
Appendix B: Exponential Functions
Appendix C: Comparing Single-Variable Data

### ETOOLS/VIDEOS

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General eTools
Chapter 1: Investigations and Functions
Chapter 2: Transformations of Parent Graphs
Chapter 3: Equivalent Forms
Chapter 4: Solving and Intersections
Chapter 5: Inverses and Logarithms
Chapter 6: 3-D Graphing and Logarithms
Chapter 7: Trigonometric Functions
Chapter 8: Polynomials
Chapter 9: Randomization and Normal Distributions
Chapter 10: Series
Chapter 11: Simulating Sampling Variability
Chapter 12: Analytic Trigonometry
Appendix A: Sequences
Appendix B: Exponential Functions
Appendix C: Comparing Single-Variable Data

### PÁGINAS DE RECURSOS

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Capítulo 1: Investigaciones y funciones
Capítulo 2: Transformación de gráficos madre
Capítulo 3: Formas equivalentes
Capítulo 4: Resolución de problemas e intersecciones
Capítulo 5: Inversas y logaritmos
Capítulo 6: Graficación en 3D y logaritmos
Capítulo 7: Funciones trigonométricas
Capítulo 8: Polinomios
Capítulo 9: Aleatorización y distribuciones normales
Capítulo 10: Series
Capítulo 11: Simulación de la variabilidad muestral
Capítulo 12: Trigonometría analítica
Apéndice A: Progresiones
Apéndice B: Funciones exponenciales
Apéndice C: Comparación de datos de una variable

### GUÍA PARA PADRES CON PRÁCTICA ADICIONAL

Bienvenidos a la Guía para padres con práctica adicional de Core Connections en español, Álgebra 2. 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: