Core Connections Algebra 2 Book Cover

Core Connections Algebra 2 Book Cover

Core Connections Algebra 2

Additional Textbook Resources


TABLE OF CONTENTS

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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

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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: