Core Connections Integrated I Book Cover

## Additional Textbook Resources

### TABLE OF CONTENTS

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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 Multiple Representations of Functions Section 1.2 1.2.1 Function Machines 1.2.2 Functions 1.2.3 Domain and Range Section 1.3 1.3.1 Rewriting Expressions with Exponents 1.3.2 Zero and Negative Exponents Closure 1.CL Chapter Closure

Chapter 2: Linear Functions
 Opening 2.OP Chapter Opening Section 2.1 2.1.1 Seeing Growth in Linear Functions 2.1.2 Comparing Δy and Δx 2.1.3 Slope 2.1.4 y = mx + b and More on Slope Section 2.2 2.2.1 Modeling Linear Functions 2.2.2 Rate of Change 2.2.3 Equations of Lines in a Situation 2.2.4 Dimensional Analysis Section 2.3 2.3.1 Writing the Equation of a Line Given the Slope and a Point 2.3.2 Writing the Equation of a Line Through Two Points 2.3.3 Writing y = mx + b from Graphs and Tables Closure 2.CL Chapter Closure

Chapter 3: Transformations and Solving
 Opening 3.OP Chapter Opening Section 3.1 3.1.1 Spatial Visualization and Reflections 3.1.2 Rotations and Translations 3.1.3 Slopes of Parallel and Perpendicular Lines 3.1.4 Defining Rigid Transformations 3.1.5 Using Transformations to Create Polygons 3.1.6 Symmetry Section 3.2 3.2.1 Modeling Area and Perimeter with Algebra Tiles 3.2.2 Exploring an Area Model 3.2.3 Multiplying Polynomials and the Distributive Property Section 3.3 3.3.1 Multiple Methods for Solving Equations 3.3.2 Fraction Busters 3.3.3 Solving Exponential and Complex Equations Closure 3.CL Chapter Closure

Chapter 4: Modeling Two-Variable Data
 Opening 4.OP Chapter Opening Section 4.1 4.1.1 Line of Best Fit 4.1.2 Residuals 4.1.3 Upper and Lower Bounds 4.1.4 Least Squares Regression Line Section 4.2 4.2.1 Residual Plots 4.2.2 Correlation 4.2.3 Association is Not Causation 4.2.4 Interpreting Correlation in Context 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 Comparing 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: Systems of Equations
 Opening 6.OP Chapter Opening Section 6.1 6.1.1 Working with Multi-Variable Equations 6.1.2 Summary of Solving Equations 6.1.3 Solving Word Problems by Using Different Representations 6.1.4 Solving Word Problems by Writing Equations Section 6.2 6.2.1 Solving Systems of Equations Using the Equal Values Method 6.2.2 Solving Systems of Equations Using Substitution 6.2.3 Making Connections: Systems and Multiple Representations Section 6.3 6.3.1 Solving Systems Using Elimination 6.3.2 More Elimination 6.3.3 Making Connections: Systems, Solutions, and Graphs Section 6.4 6.4.1 Choosing a Strategy for Solving a System 6.4.2 Pulling it all Together Closure 6.CL Chapter Closure

Chapter 7: Congruence and Coordinate Geometry
 Opening 7.OP Chapter Opening Section 7.1 7.1.1 Defining Congruence 7.1.2 Conditions for Triangle Congruence 7.1.3 Creating a Flowchart 7.1.4 Justifying Triangle Congruence Using Flowcharts 7.1.5 More Conditions for Triangle Congruence 7.1.6 Congruence of Triangles Through Rigid Transformations 7.1.7 More Congruence Flowcharts Section 7.2 7.2.1 Studying Quadrilaterals on a Coordinate Grid 7.2.2 Coordinate Geometry and Midpoints 7.2.3 Identifying Quadrilaterals on a Coordinate Grid Closure 7.CL Chapter Closure

Chapter 8: Exponential Functions
 Opening 8.OP Chapter Opening Section 8.1 8.1.1 Investigating y = bx 8.1.2 Multiple Representations of Exponential Functions 8.1.3 More Applications of Exponential Functions 8.1.4 Exponential Decay 8.1.5 Graph → Equation 8.1.6 Completing the Multiple Representations Web Section 8.2 8.2.1 Curve Fitting 8.2.2 Curved Best-Fit Models 8.2.3 Solving a System of Exponential Functions Graphically Closure 8.CL Chapter Closure

Chapter 9: Inequalities
 Opening 9.OP Chapter Opening Section 9.1 9.1.1 Solving Linear, One-Variable Inequalities 9.1.2 More Solving Inequalities 9.1.3 Solving Absolute Value Equations and Inequalities Section 9.2 9.2.1 Graphing Two-Variable Inequalities 9.2.2 Graphing Linear and Nonlinear Inequalities Section 9.3 9.3.1 Systems of Inequalities 9.3.2 More Systems of Inequalities 9.3.3 Applying Inequalities to Solve Problems Closure 9.CL Chapter Closure

Chapter 10: Functions and Data
 Opening 10.OP Chapter Opening Section 10.1 10.1.1 Association in Two-Way Tables 10.1.2 Investigating Data Representations 10.1.3 Comparing Data 10.1.4 Standard Deviation Section 10.2 10.2.1 Transforming Functions 10.2.2 Arithmetic Operations with Functions 10.2.3 Proving Linear and Exponential Growth Patterns Closure 10.CL Chapter Closure

Chapter 11: Constructions and Closure
 Opening 11.OP Chapter Opening Section 11.1 11.1.1 Introduction to Constructions 11.1.2 Constructing Bisectors 11.1.3 More Explorations with Constructions Section 11.2 11.2.1 Solving Work and Mixing Problems 11.2.2 Solving Equations and Systems Graphically 11.2.3 Using a Best-Fit Line to Make a Prediction 11.2.4 Treasure Hunt 11.2.5 Using Coordinate Geometry and Constructions to Explore Shapes 11.2.6 Modeling with Exponential Functions and Linear Inequalities Closure 11.CL Chapter Closure

Appendix: Solving Equations
 Opening A.OP Chapter Opening Section A.1 A.1.1 Exploring Variables and Expressions A.1.2 Using Zero to Simplify Algebraic Expressions A.1.3 Using Algebra Tiles to Compare Expressions A.1.4 Justifying and Recording Work A.1.5 Using Algebra Tiles to Solve for x A.1.6 More Solving Equations A.1.7 Checking Solutions A.1.8 Determining the Number of Solutions A.1.9 Using Equations to Solve Problems Closure A.CL Appendix 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: Laws of Exponents and Scientific Notation CP 5: Writing the Equation of a Line CP 6A: Solving Linear Equations, Part 2 (Fractional Coefficients) CP 6B: Multiplying Polynomials and Solving Equations with Parentheses CP 7: Interpreting Associations CP 8A: Rewriting Equations with More Than One Variable CP 8B: Solving Problems by Writing Equations CP 9: Solving Linear Systems of Equations CP 10: Determining Congruent Triangles CP 11: The Exponential 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 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.

### ETOOLS/VIDEOS

eTool Tutorials Link

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General eTools
Chapter 1: Functions
Chapter 2: Linear Functions
Chapter 3: Transformations amd Solving
Chapter 4: Modeling Two-Variable Data
Chapter 5: Sequences
Chapter 6: Systems of Equations
Chapter 7: Congruence and Coordinate Geometry
Chapter 8: Exponential Functions
Chapter 9: Inequalities
Chapter 10: Functions and Data
Chapter 11: Constructions and Closure
Appendix: Solving Equations

### GUÍA PARA PADRES CON PRÁCTICA ADICIONAL

Bienvenidos a la Guía para padres con práctica adicional de Core Connections en español, Matemática Integrada I. 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: