Video Notebook for Algebra

<ol> <li><strong>Prealgebra Review</strong> <ul> <li>R.1 Factors and the Least Common Multiple</li> <li>R.2 Fractions</li> <li>R.3 Decimals and Percents</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> </ul></li> <li><strong>Real Numbers and Introduction to Algebra</strong> <ul> <li>1.1 Study Skills Tips for Sucess in Mathematics</li> <li>1.2 Symbols and Sets of Numbers</li> <li>1.3 Expnents, Order of Operations, and Variable Expressions</li> <li>1.4 Adding Real Numbers</li> <li>1.5 Subtracting Real Numbers <ul> <li>Integrated Review - Operations on Real Numbers</li> </ul></li> <li>1.6 Multiplying and Dividing Real Numbers</li> <li>1.7 Properties of Real Numbers</li> <li>1.8 Simplifying Expressions</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> </ul></li> <li><strong>Equations, Inequalities, and Problem Solving</strong> <ul> <li>2.1 The Addition Property of Equality</li> <li>2.2 The Multiplication Property of Equality</li> <li>2.3 Further Solving Linear Equations <ul> <li>Integrated Review - Solving Linear Equations</li> </ul></li> <li>2.4 An Introduction to Problem Solving</li> <li>2.5 Formulas and Problem Solving</li> <li>2.6 Percent and Mixture Problem Solving</li> <li>2.7 Linear Inequalities and Problem Solving</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Graphing Equations and Inequalities</strong> <ul> <li>3.1 Reading Graphs and the Rectangular Coordinate System</li> <li>3.2 Graphing Linear Equations</li> <li>3.3 Intercepts</li> <li>3.4 Slope and Rate of Change <ul> <li>Integrated Review - Summary on Solving Linear Equations</li> </ul></li> <li>3.5 Equations of Lines</li> <li>3.6 Graphing Linear Inequalities in Two Variables</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Systems of Equations</strong> <ul> <li>4.1 Solving Systems of Linear Equations by Graphing</li> <li>4.2 Solving Systems of Linear Equations by Substitution <ul> <li>Integrated Review - Summary on Solving Systems of Equations</li> </ul></li> <li>4.3 Solving Systems of Linear Equations by Addtion</li> <li>4.4 Systems of Linear Equations and Problem Solving</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Exponents and Polynomials</strong> <ul> <li>5.1 Exponents</li> <li>5.2 Negative Exponents and Scientific Notation</li> <li>5.3 Introduction to Polynomials</li> <li>5.5 Multiplying Polynomials</li> <li>5.6 Special Products <ul> <li>Integrated Review - Exponents and Operations on Polynomials</li> </ul></li> <li>5.7 Dividing Polynomials</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Factoring Polynomials</strong> <ul> <li>6.1 The Greatest Common Factor and Factoring by Grouping</li> <li>6.2 Factoring Trinomials of the Form x² + bx + c</li> <li>6.3 Factoring Trinomials of the Form ax² + bx + c</li> <li>6.4 Factoring Trinomials of the Form ax² + bx + c by Grouping</li> <li>6.5 Factoring by Special Products <ul> <li>Integrated Review - Choosing a Factoring Strategy</li> </ul></li> <li>6.6 Solving Quadratic Equations and Problem Solving</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Rational Expressions</strong> <ul> <li>7.1 Simplifying Rational Expressions</li> <li>7.2 Multiplying and Dividing Rational Expressions</li> <li>7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator</li> <li>7.4 Adding and Subtracting Rational Expressions with Different Denominators</li> <li>7.5 Solving Equations Containing Rational Expressions <ul> <li>Integrated Review - Summary on Rational Expressions</li> </ul></li> <li>7.6 Proportions and Problem Solving with Rational Equations</li> <li>7.7 Simplifying Complex Fractions</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Graphs and Functions</strong> <ul> <li>8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines</li> <li>8.2 Introduction to Functions</li> <li>8.3 Polynomial and Rational Functions <ul> <li>Integrated Review - Linear Equations in Two Variables and Functions</li> </ul></li> <li>8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions</li> <li>8.5 Shifting and Reflecting Graphs of Functions</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Systems of Equations and Inequalities and Variation</strong> <ul> <li>9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving</li> <li>9.2 Solving Systems of Equations Using Matrices <ul> <li>Integrated Review - Systems of Linear Equations</li> </ul></li> <li>9.3 Systems of Linear Inequalities</li> <li>9.4 Variation and Problem Solving</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Rational Exponents, Radicals, and Complex Numbers</strong> <ul> <li>10.1 Radical Expressions and Radical Functions</li> <li>10.2 Rational Exponents</li> <li>10.3 Simplifying Radical Expressions</li> <li>10.4 Adding, Subtracting, and Multiplying Radical Expressions</li> <li>10.5 Rationalizing Numerators and Denominators of Radical Expressions <ul> <li>Integrated Review - Radicals and Rational Exponents</li> </ul></li> <li>10.6 Radical Equations and Problem Solving</li> <li>10.7 Complex Numbers</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Quadratic Equations and Functions</strong> <ul> <li>11.1 Solving Quadratic Equations by Completing the Square</li> <li>11.2 Solving Quadratic Equations by Using the Quadratic Formula</li> <li>11.3 Solving Equations by Using Quadratic Methods <ul> <li>Integrated Review - Summary on Solving Quadratic Equations</li> </ul></li> <li>11.4 Nonlinear Inequalities in One Variable</li> <li>11.5 Quadratic Functions and Their Graphs</li> <li>11.6 Further Graphing of Quadratic Functions</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Exponential and Logarithmic Functions</strong> <ul> <li>12.1 The Algebra of Functions</li> <li>12.2 Inverse Functions</li> <li>12.3 Exponential Functions</li> <li>12.4 Exponential Functions</li> <li>12.5 Logarithmic Functions</li> <li>12.6 Properties of Logarithms <ul> <li>Integrated Review - Functions and Properties of Logarithms</li> </ul></li> <li>12.7 Common Logarithms, Natural Logarithms, and Change of Base</li> <li>12.8 Exponential and Logarithmic Equations and Problem Solving</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> <li><strong>Conic Sections</strong> <ul> <li>13.1 The Parabola and the Circle</li> <li>13.2 The Ellipse and the Hyperbola <ul> <li>Integrated Review - Graphing Conic Sections</li> </ul></li> <li>13.3 Solving Nonlinear Systems of Equations</li> <li>13.4 Nonlinear Inequalities and Systems of Inequalities</li> <li>Group Activity</li> <li>Vocabulary Check</li> <li>Chapter Highlights</li> <li>Chapter Review</li> <li>Chapter Test</li> <li>Cumulative Review</li> </ul></li> </ol> <h3>Appendices</h3> <ul> <li>A. Transition Review: Exponents, Polynomials, and Factoring Strategies</li> <li>B. Transition Review: Solving Linear and Quadratic Equations</li> <li>C. Sets and Compound Inequalities</li> <li>D. Absolute Value Equations and Inequalities</li> <li>E. Determinants and Cramer’s Rule</li> <li>F. Review of Angles, Lines, and Special Triangles</li> <li>G. Stretching and Compressing Graphs of Absolute Value Functions</li> <li>H. An Introduction to Using a Graphing Utility</li> </ul>