<ol> <li><strong>Linear Equations and Linear Functions</strong> <ul> <li>1.1 Using Qualitative Graphs to Describe Situations</li> <li>1.2 Graphing Linear Equations</li> <li>1.3 Slope of a Line</li> <li>1.4 Meaning of Slope for Equations, Graphs, and Tables</li> <li>1.5 Finding Linear Equations</li> <li>1.6 Functions</li> </ul></li> <li><strong>Modeling With Linear Functions</strong> <ul> <li>2.1 Using Lines to Model Data</li> <li>2.2 Finding Equations of Linear Models</li> <li>2.3 Function Notation and Making Predictions</li> <li>2.4 Slope Is a Rate of Change</li> <li>Taking It to the Lab: Climate Change Lab • Used-Car Lab • Golf Ball Lab • Walking Student Lab • Linear Lab: Topic of Your Choice</li> </ul></li> <li><strong>Systems of Linear Equations and Systems of Linear Inequalities</strong> <ul> <li>3.1 Using Graphs and Tables to Solve Systems</li> <li>3.2 Using Substitution and Elimination to Solve Systems</li> <li>3.3 Using Systems to Model Data</li> <li>3.4 Value, Interest, and Mixture Problems</li> <li>3.5 Using Linear Inequalities in One Variable to Make Predictions</li> <li>3.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities</li> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 2) • Sports Lab • Truck Lab</li> </ul></li> <li><strong>Exponential Functions</strong> <ul> <li>4.1 Properties of Exponents</li> <li>4.2 Rational Exponents</li> <li>4.3 Graphing Exponential Functions</li> <li>4.4 Finding Equations of Exponential Functions</li> <li>4.5 Using Exponential Functions to Model Data</li> <li>Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice</li> </ul></li> <li><strong>Logarithmic Functions</strong> <ul> <li>5.1 Composite Functions</li> <li>5.2 Inverse Functions</li> <li>5.3 Logarithmic Functions</li> <li>5.4 Properties of Logarithms</li> <li>5.5 Using the Power Property with Exponential Models to Make Predictions</li> <li>5.6 More Properties of Logarithms</li> <li>5.7 Natural Logarithm</li> <li>Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab: Topic of Your Choice</li> </ul></li> <li><strong>Polynomial Functions</strong> <ul> <li>6.1 Adding and Subtracting Polynomial Expressions and Functions</li> <li>6.2 Multiplying Polynomial Expressions and Functions</li> <li>6.3 Dividing Polynomials: Long Division and Synthetic Division</li> <li>6.4 Factoring Trinomials of the Form x<sup>2</sup> + bx + c; Factoring Out the GCF</li> <li>6.5 Factoring Polynomials</li> <li>6.6 Factoring Special Binomials; A Factoring Strategy</li> <li>6.7 Using Factoring to Solve Polynomial Equations</li> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Projectile Lab</li> </ul></li> <li><strong>Quadratic Functions</strong> <ul> <li>7.1 Graphing Quadratic Functions in Vertex Form</li> <li>7.2 Graphing Quadratic Functions in Standard Form</li> <li>7.3 Using the Square Root Property to Solve Quadratic Equations</li> <li>7.4 Solving Quadratic Equations by Completing the Square</li> <li>7.5 Using the Quadratic Formula to Solve Quadratic Equations</li> <li>7.6 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions</li> <li>7.7 Finding Quadratic Models</li> <li>7.8 Modeling with Quadratic Functions</li> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab (continued from Chapter 6) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice</li> </ul></li> <li><strong>Rational Functions</strong> <ul> <li>8.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions</li> <li>8.2 Multiplying and Dividing Rational Expressions; Converting Units</li> <li>8.3 Adding and Subtracting Rational Expressions</li> <li>8.4 Simplifying Complex Rational Expressions</li> <li>8.5 Solving Rational Equations</li> <li>8.6 Modeling with Rational Functions</li> <li>8.7 Variation</li> <li>Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Illumination Lab • Boyle’s Law Lab</li> </ul></li> <li><strong>Radical Functions</strong> <ul> <li>9.1 Simplifying Radical Expressions</li> <li>9.2 Adding, Subtracting, and Multiplying Radical Expressions</li> <li>9.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions</li> <li>9.4 Graphing and Combining Square Root Functions</li> <li>9.5 Solving Radical Equations</li> <li>9.6 Modeling with Square Root Functions</li> <li>Taking It to the Lab: Pendulum Lab</li> </ul></li> <li><strong>Sequences and Series</strong> <ul> <li>10.1 Arithmetic Sequences</li> <li>10.2 Geometric Sequences</li> <li>10.3 Arithmetic Series</li> <li>10.4 Geometric Series</li> <li>Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab</li> </ul></li> <li><strong>Additional Topics</strong> <ul> <li>11.1 Absolute Value: Equations and Inequalities</li> <li>11.2 Performing Operations with Complex Numbers</li> <li>11.3 Pythagorean Theorem, Distance Formula, and Circles</li> <li>11.4 Ellipses and Hyperbolas</li> <li>11.5 Solving Nonlinear Systems of Equations</li> </ul></li> </ol> <h3>APPENDICES</h3> <ul> <li>A. Reviewing the Prerequisite Material</li> <li>B. Using a TI-83 or TI- 84 Graphing Calculator</li> <li>C. Using StatCrunch</li> </ul>