Algebra Connections Book Cover

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### TABLE OF CONTENTS

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Chapter 1: Problem Solving
 Opening 1.OP Chapter Opening Section 1.1 1.1.1 Creating a Quilt Using Symmetry 1.1.2 Making Predictions and Investigating Results 1.1.3 Perimeter and Area of Enlarging Tile Patterns 1.1.4 Logical Arguments 1.1.5 Building a Kaleidoscope Section 1.2 1.2.1 Spatial Visualization and Reflections 1.2.2 Rigid Transformations: Rotations and Translations 1.2.3 Using Transformations 1.2.4 Using Transformations to Create Shapes 1.2.5 Symmetry Section 1.3 1.3.1 Attributes and Characteristics of Shapes 1.3.2 More Characteristics of Shapes 1.3.3 Introduction to Probability Closure 1.CL Chapter Closure

Chapter 2: Variables and Proportions
 Opening 2.OP Chapter Opening Section 2.1 2.1.1 Exploring Variables and Combining Like Terms 2.1.2 Simplifying Expressions by Combining Like Terms 2.1.3 Writing Algebraic Expressions 2.1.4 Using Zero to Simplify Algebraic Expressions 2.1.5 Using Algebra Tiles to Simplify Algebraic Expressions 2.1.6 Using Algebra Tiles to Compare Expressions 2.1.7 Simplifying and Recording Work 2.1.8 Using Algebra Tiles to Solve for x 2.1.9 More Solving Equations Section 2.2 2.2.1 Solving Problems with Proportional Intuition 2.2.2 Sharing Proportion-Organizing Strategies 2.2.3 Using Proportional Relationships Closure 2.CL Chapter Closure

Chapter 3: Graphs and Equations
 Opening 3.OP Chapter Opening Section 3.1 3.1.1 Extending Patterns and Finding Rules 3.1.2 Using Tables, Graphs, and Rules to Make Predictions 3.1.3 Using the Graphing Calculator and Identifying Solutions 3.1.4 Completing Tables and Drawing Graphs 3.1.5 Graphs, Tables, and Rules 3.1.6 Complete Graphs 3.1.7 Identifying Common Graphing Errors Section 3.2 3.2.1 Solving Equations and Testing the Solution 3.2.2 Determining the Number of Solutions 3.2.3 Strategies for Using the 5-D Process 3.2.4 More Solving Equations to Solve Problems Closure 3.CL Chapter Closure

Chapter 4: Multiple Representations
 Opening 4.OP Chapter Opening Section 4.1 4.1.1 Finding Connections Between Representation 4.1.2 Seeing Growth in Different Representations 4.1.3 Connecting Linear Rules and Graphs 4.1.4 y = mx + b 4.1.5 Checking the Connections 4.1.6 Graphing Without an x → y Table 4.1.7 Completing the Web Section 4.2 4.2.1 Introduction to Systems of Equations 4.2.2 Writing Rules from Word Problems 4.2.3 Solving Systems Algebraically 4.2.4 Extending the Web to other Linear Situations Closure 4.CL Chapter Closure

Chapter 5: Multiplication and Proportions
 Opening 5.OP Chapter Opening Section 5.1 5.1.1 Exploring an Area Model 5.1.2 Multiplying Binomials and the Distributive Property 5.1.3 Using Generic Rectangles to Multiply 5.1.4 Solving Equations With Multiplication 5.1.5 Working with Multi-Variable Equations 5.1.6 Solving Equations Without Manipulatives Section 5.2 5.2.1 Setting Up and Solving Proportions 5.2.2 Practice with Proportions 5.2.3 Applying Proportions Closure 5.CL Chapter Closure

Chapter 6: Systems of Equations
 Opening 6.OP Chapter Opening Section 6.1 6.1.1 Mathematical Sentences 6.1.2 Solving Word Problems by Writing Equations 6.1.3 Solving Problems by Writing Equations Section 6.2 6.2.1 Solving Systems of Equations Using Substitution 6.2.2 Making Connections: Systems, Solutions and Graphs 6.2.3 Solving Systems of Equations Using Elimination 6.2.4 More Elimination 6.2.5 Choosing A Strategy for Solving Systems Section 6.3 6.3.1 Section 6.3 Pulling it All Together Closure 6.CL Chapter Closure

Chapter 7: Linear Relationships
 Opening 7.OP Chapter Opening Section 7.1 7.1.1 y = mx + b 7.1.2 Using Equations to Make Predictions 7.1.3 Measuring Steepness: An Introduction to Slope 7.1.4 Comparing Δy and Δx 7.1.5 More on Slope Section 7.2 7.2.1 Equation of a Line in Context 7.2.2 Slope as a Measurement of Rate 7.2.3 Rates of Change Section 7.3 7.3.1 Finding an Equation Given a Slope and a Point 7.3.2 Slopes of Parallel and Perpendicular Lines 7.3.3 Finding the Equation of a Line Through Two Points 7.3.4 Applying y = mx + b to find Equations from Graphs Closure 7.CL Chapter Closure

Chapter 8: Quadratics
 Opening 8.OP Chapter Opening Section 8.1 8.1.1 Introduction to Factoring Quadratics 8.1.2 Factoring with Generic Rectangles 8.1.3 Factoring with Special Cases 8.1.4 Factoring Completely Section 8.2 8.2.1 Investigating a Parabola 8.2.2 Multiple Representations for Quadratics 8.2.3 Zero Product Property 8.2.4 Solving Quadratic Equations by Factoring 8.2.5 Completing the Quadratic Web Section 8.3 8.3.1 Introduction to the Quadratic Formula 8.3.2 More Solving Quadratic Equations 8.3.3 Choosing A Strategy 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 Section 9.2 9.2.1 Graphing Two-Variable Inequalities 9.2.2 Graphing Linear and Non-linear Inequalities 9.2.3 Introduction to Absolute Value 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: Simplifying and Solving
 Opening 10.OP Chapter Opening Section 10.1 10.1.1 Simplifying Expressions 10.1.2 Multiplying and Dividing Rational Expressions 10.1.3 Solving by Rewriting 10.1.4 Fraction Busters Section 10.2 10.2.1 Multiple Methods for Solving Equations 10.2.2 Determining the Number of Solutions 10.2.3 More Solving and an Application 10.2.4 Solving Inequalities with Absolute Value 10.2.5 Solving Absolute Value and Quadratic Inequalities Section 10.3 10.3.1 Completing the Square 10.3.2 More Completing the Square Section 10.4 10.4.1 Simplifying Exponential Expressions 10.4.2 Zero and Negative Exponents 10.4.3 Fractional Exponents and Scientific Notation Closure 10.CL Chapter Closure

Chapter 11: Functions and Relations
 Opening 11.OP Chapter Opening Section 11.1 11.1.1 Describing a Graph 11.1.2 Relation Machines 11.1.3 Functions 11.1.4 Domain and Range 11.1.5 Investigating a New Relation 11.1.6 Transformation of a Function Section 11.2 11.2.1 Intercepts and Intersections 11.2.2 Pulling It All Together Section 11.3 11.3.1 Relation Treasure Hunt Closure 11.CL Chapter Closure

Chapter 12: Algebraic Extensions
 Opening 12.OP Chapter Opening Section 12.1 12.1.1 Factoring Shortcuts 12.1.2 Adding and Subtracting Rational Expressions 12.1.3 More Adding and Subtracting Rational Expressions Section 12.2 12.2.1 Solving Work Problems 12.2.2 Solving Percent Mixture Problems Section 12.3 12.3.1 Deriving the Quadratic Formula Section 12.4 12.4.1 Using Data and Trend Lines to Make Predictions 12.4.2 Analyzing Non-linear Tile Patterns 12.4.3 Investigating a Complex Function 12.4.4 Using Algebra to Find a Maximum Closure 12.CL Chapter Closure

Additional Topics
 AT 1.1 Investigating the Growth of Patterns AT 1.2 Algebraic Properties AT 1.3 Modeling Data AT 1.4 Polynomial Division

Glossary
Index

### PARENT GUIDE W/ EXTRA PRACTICE

Welcome to the Algebra Connections Parent Guide. The purpose of this guide is to assist you should your child need help with homework or the ideas in the course. We believe all students can be successful in mathematics as long as they are willing to work and ask for help when they need it. We encourage you to contact your child’s teacher if your student has additional questions that this guide or other resources do not answer.   Read More...

### ETOOLS/VIDEOS

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General eTools
Chapter 1: Problem Solving
Chapter 2: Variables and Proportions
Chapter 3: Graphs and Equations
Chapter 4: Multiple Representations
Chapter 5: Multiplication and Proportions
Chapter 6: Systems of Equations
Chapter 7: Linear Relationships
Chapter 8: Quadratics
Chapter 9: Inequalities
Chapter 10: Simplifying and Solving
Chapter 11: Functions and Relations
Chapter 12: Algebraic Extensions

### SUPPORT MATERIALS

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