Core Connections Algebra Book Cover

## Additional Textbook Resources

### STUDENTS/PARENTS (ENGLISH)

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Chapter 1: Functions
 Opening 1.OP Chapter Opening Section 1.1 1.1.1 Solving Puzzles in Teams 1.1.2 Investigating the Growth of Patterns 1.1.3 Investigating the Graphs of Quadratic Functions Section 1.2 1.2.1 Describing a Graph 1.2.2 Cube Root and Absolute Value Functions 1.2.3 Function Machines 1.2.4 Functions 1.2.5 Domain and Range Closure 1.CL Chapter Closure

Chapter 2: Linear Relationships
 Opening 2.OP Chapter Opening Section 2.1 2.1.1 Seeing Growth in Linear Representations 2.1.2 Slope 2.1.3 Comparing △y and △x 2.1.4 y = mx + b and More on Slope Section 2.2 2.2.1 Slope as Motion 2.2.2 Rate of Change 2.2.3 Equations of Lines in Situations Section 2.3 2.3.1 Finding an Equation Given a Slope and a Point 2.3.2 Finding the Equation of a Line through Two Points Ex Act Finding y = mx + b from Graphs and Tables Closure 2.CL Chapter Closure

Chapter 3: Simplifying and Solving
 Opening 3.OP Chapter Opening Section 3.1 3.1.1 Simplifying Exponential Expressions 3.1.2 Zero and Negative Exponents Section 3.2 3.2.1 Equations ↔ Algebra Tiles 3.2.2 Exploring an Area Model 3.2.3 Multiplying Binomals and the Distributive Property 3.2.4 Using Generic Rectangles to Multiply Section 3.3 3.3.1 Solving Equations With Multiplication and Absolute Value 3.3.2 Working With Multi-Variable Equations 3.3.3 Summary of Solving Equations Closure 3.CL Chapter Closure

Chapter 4: Systems and Equations
 Opening 4.OP Chapter Opening Section 4.1 4.1.1 Solving Word Problems by Writing Equations 4.1.2 One Equation or Two? Section 4.2 4.2.1 Solving Systems of Equations Using Substitution 4.2.2 Making Connections: Systems, Solutions, and Graphs 4.2.3 Solving Systems Using Elimination 4.2.4 More Elimination 4.2.5 Choosing a Strategy for Solving Systems Section 4.3 4.3.1 Pulling it all Together Closure 4.CL Chapter Closure

Chapter 5: Sequences
 Opening 5.OP Chapter Opening Section 5.1 5.1.1 Representing Exponential Growth 5.1.2 Rebound Ratios 5.1.3 The Bouncing Ball and Exponential Decay Section 5.2 5.2.1 Generating and Investigating Sequences 5.2.2 Generalizing Arithmetic Sequences 5.2.3 Recursive Sequences Section 5.3 5.3.1 Patterns of Growth in Tables and Graphs 5.3.2 Using Multipliers to Solve Problems 5.3.3 Comparing Sequences to Functions Closure 5.CL Chapter Closure

Chapter 6: Modeling Two-Variable Data
 Opening 6.OP Chapter Opening Section 6.1 6.1.1 Line of Best Fit 6.1.2 Residuals 6.1.3 Upper and Lower Bounds 6.1.4 Least Squares Regression Line Section 6.2 6.2.1 Residual Plots 6.2.2 Correlation 6.2.3 Association is Not Causation 6.2.4 Interpreting Correlation in Context 6.2.5 Curved Best-Fit Models Closure 6.CL Chapter Closure

Chapter 7: Exponential Functions
 Opening 7.OP Chapter Opening Section 7.1 7.1.1 Investigating y = bx 7.1.2 Multiple Represntations of Exponential Functions 7.1.3 More Applications of Exponential Growth 7.1.4 Exponential Decay 7.1.5 Graph → Equation 7.1.6 Completing the Multiple Representation Web Section 7.2 7.2.1 Curve Fitting and Fractional Exponents 7.2.2 More Curve Fitting 7.2.3 Solving a System of Exponential Functions Graphically Closure 7.CL Chapter Closure

Chapter 8: Quadratic Functions
 Opening 8.OP Chapter Opening Section 8.1 8.1.1 Introduction to Factoring Quadratics 8.1.2 Factoring with Genetic Rectangles 8.1.3 Factoring with Special Cases 8.1.4 Factoring Completely 8.1.5 Factoring Shortcuts Section 8.2 8.2.1 Multiple Representation for Quadratics 8.2.2 Zero Product Property 8.2.3 More Ways to Find the x-Intercepts 8.2.4 Completing the Quadratic Web 8.2.5 Completing the Square Closure 8.CL Chapter Closure

Chapter 9: Solving Quadratic and Inequalities
 Opening 9.OP Chapter Opening Section 9.1 9.1.1 Solving Quadratic Equations 9.1.2 Introduction to the Quadratic Formula 9.1.3 More Solving Quadratic Equations 9.1.4 Choosing a Strategy Section 9.2 9.2.1 Solving Linear, One-Variable Inequalities 9.2.2 More Solving Inequalities Section 9.3 9.3.1 Graphing Two-Variable Inequalities 9.3.2 Graphing Linear and Non-Linear Inequalities Section 9.4 9.4.1 Systems of Inequalities 9.4.2 More Systems of Inequalities 9.4.3 Applying Inequalities to Solve Problems Closure 9.CL Chapter Closure

Chapter 10: Solving Complex Equations
 Opening 10.OP Chapter Opening Section 10.1 10.1.1 Association in Two-Way Tables Section 10.2 10.2.1 Solving by Rewriting 10.2.2 Fraction Busters 10.2.3 Multiple Methods for Solving Equations 10.2.4 Determining the Number of Solutions 10.2.5 Deriving the Quadratic Formula and the Number System 10.2.6 More Solving and an Application Section 10.3 10.3.1 Intersection of Two Functions 10.3.2 Number of Parabola Intersections 10.3.3 Solving Quadratic and Absolute Value Inequalities Closure 10.CL Chapter Closure

Chapter 11: Functions and Data
 Opening 11.OP Chapter Opening Section 11.1 11.1.1 Transforming Functions 11.1.2 Inverse Functions Section 11.2 11.2.1 Investigating Data Representations 11.2.2 Comparing Data 11.2.3 Standard Deviation Section 11.3 11.3.1 Using a Best-Fit Line to Make a Prediction 11.3.2 Relation Treasure Hunt 11.3.3 Investigating a Complex Function 11.3.4 Using Algebra to Find a Maximum 11.3.5 Exponential Functions and Linear Inequalities Closure 11.CL Chapter Closure

Appendix A: Representing Expressions
 Opening A.OP Chapter Opening Section A.1 A.1.1 Exploring Variables and Combining Like Terms A.1.2 Simplifying Expressions by Combining Like Terms A.1.3 Writing Algebraic Expressions A.1.4 Using Zero to Simplify Algebraic Expressions A.1.5 Using Algebra Tiles to Simplify Algebraic Expressions A.1.6 Using Algebra Tiles to Compare Expressions A.1.7 Simplifying and Recording Work A.1.8 Using Algebra Tiles to Solve for x A.1.9 More Solving Equations Closure A.CL Chapter Closure

Checkpoint Materials
 CP 1: Solving Linear Equations, Part 1 (Integer Coefficients) CP 2: Evaluating Expressions and the Order of Operations CP 3: Operations with Rational Numbers CP 4: Solving Linear Equations, Part 2 (Fractional Coeffcients) CP 5A: Laws of Exponents and Scientific Notation CP 5B: Writing the Equation of a line CP 6A: Rewriting Equations with More Than One Variable CP 6B: Multiplying Polynomials and Solving Equations with Parentheses CP 7A: Solving Problems by Writing Equations CP 7B: Solving Linear Systems of Equations CP 8: Interpreting Associations CP 9: Writing Exponential Equations from Situations CP 10A: The Exponential Web CP 10B: Factoring Polynomials CP 11: The Quadratic Web

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.

### ETOOLS/VIDEOS

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General eTools
Chapter 1: Functions

Chapter 2: Linear Relationships
Chapter 3: Simplifying and Solving
Chapter 4: Systems of Equations
Chapter 5: Sequences
Chapter 6: Modeling Two-Variable Data
Chapter 7: Exponential Functions
Chapter 8: Quadratic Functions
Chapter 9: Solving Quadratics and Inequalities
Chapter 10: Solving Complex Equations
Chapter 11: Functions and Data
Appendix A: Representing Expressions

### GUÍA PARA PADRES CON PRÁCTICA ADICIONAL

Bienvenidos a la Guía para padres con práctica adicional de Core Connections. 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: