Worksheets with the Math Coach for Developmental Mathematics

<p><strong>Module 1: Whole Numbers and Introduction to Algebra</strong></p> <p>1.1: Understanding Whole Numbers</p> <p>1.2: Adding Whole Number Expressions</p> <p>1.3: Subtracting Whole Number Expressions</p> <p>1.4: Multiplying Whole Number Expressions</p> <p>1.5: Dividing Whole Number Expressions</p> <p>1.6: Exponents and the Order of Operations</p> <p> Use Math to Save Money</p> <p> How Am I Doing? Topics 1.1–1.6</p> <p>1.7: More on Algebraic Expressions</p> <p>1.8: Introduction to Solving Linear Equations</p> <p>1.9: Solving Applied Problems Using Several Operations</p> <p> Module 1 Organizer</p> <p> Module 1 Review Problems</p> <p> How Am I Doing? Module 1 Test</p> <p> Math Coach</p> <p><strong>Module 2: Integers</strong></p> <p>2.1: Understanding Integers</p> <p>2.2: Adding Integers</p> <p>2.3: Subtracting Integers</p> <p>Use Math to Save Money</p> <p> How Am I Doing? Topics 2.1–2.3</p> <p>2.4: Multiplying and Dividing Integers</p> <p>2.5: The Order of Operations and Applications Involving Integers</p> <p>2.6: Simplifying and Evaluating Algebraic Expressions</p> <p> Module 2 Organizer</p> <p> Module 2 Review Problems</p> <p> How Am I Doing? Module 2 Test</p> <p> Math Coach</p> <p><strong>Module 3: Introduction to Equations and Algebraic Expressions</strong></p> <p>3.1: Equations of the form x + a = c and x - a = c</p> <p>3.2: Equations of the form ax = c</p> <p> How Am I Doing? Topics 3.1–3.2</p> <p>3.3: Equations and Geometric Formulas</p> <p> Use Math to Save Money</p> <p>3.4: Performing Operations with Exponents</p> <p> Module 3 Organizer</p> <p> Module 3 Review Problems</p> <p> How Am I Doing? Module 3 Test</p> <p> Math Coach</p> <p><strong>Module 4: Fractions, Ratio, and Proportions</strong></p> <p>4.1: Factoring Whole Numbers</p> <p>4.2: Understanding Fractions</p> <p>4.3: Simplifying Fractional Expressions</p> <p> Use Math to Save Money</p> <p> How Am I Doing? Topics 4.1–4.3</p> <p>4.4: Simplifying Fractional Expressions with Exponents</p> <p>4.5: Ratios and Rates</p> <p>4.6: Proportions and Applications</p> <p> Module 4 Organizer</p> <p> Module 4 Review Problems</p> <p> How Am I Doing? Module 4 Test</p> <p> Math Coach</p> <p><strong>Module 5: Operations on Fractional Expressions</strong></p> <p>5.1: Multiplying and Dividing Fractional Expressions</p> <p>5.2: Least Common Multiples of Algebraic Expressions</p> <p>5.3: Adding and Subtracting Fractional Expressions</p> <p>5.4: Operations with Mixed Numbers</p> <p> Use Math to Save Money</p> <p> How Am I Doing? Topics 5.1–5.4</p> <p>5.5: Order of Operations and Complex Fractions</p> <p>5.6: Solving Applied Problems Involving Fractions</p> <p>5.7: The Multiplication Principle of Equality</p> <p> Module 5 Organizer</p> <p> Module 5 Review Problems</p> <p> How Am I Doing? Module 5 Test</p> <p> Math Coach</p> <p><strong>Module 6: Decimals and Percents</strong></p> <p>6.1: Understanding Decimal Fractions</p> <p>6.2: Adding and Subtracting Decimal Expressions</p> <p>6.3: Multiplying and Dividing Decimal Expressions</p> <p> How Am I Doing? Topics 6.1–6.3</p> <p>6.4: Estimating with Percents</p> <p>6.5: Percents</p> <p>6.6: Solving Percent Problems Using Equations</p> <p>6.7: Solving Percent Problems Using Proportions</p> <p>6.8: Solving Applied Problems Involving Percents</p> <p> Use Math to Save Money</p> <p> Module 6 Organizer</p> <p> Module 6 Review Problems</p> <p> How Am I Doing? Module 6 Test</p> <p> Math Coach</p> <p><strong>Module 7: Measurement and Geometric Figures</strong></p> <p>7.1: Using Unit Fractions with U.S. and Metric Units</p> <p>7.2: Converting Between the U.S. and Metric Systems</p> <p>7.3: Angles</p> <p> How Am I Doing? Topics 7.1–7.3</p> <p>7.4: The Circle</p> <p>7.5: Volume</p> <p>7.6: Similar Geometric Figures</p> <p> Use Math to Save Money</p> <p> Module 7 Organizer</p> <p> Module 7 Review Problems</p> <p> How Am I Doing? Module 7 Test</p> <p> Math Coach</p> <p><strong>Module 8: Introduction to Polynomials</strong></p> <p>8.1: Adding and Subtracting Polynomials</p> <p>8.2: Multiplying Polynomials</p> <p> How Am I Doing? Topics 8.1–8.2</p> <p>8.3: Translate from English to Algebra</p> <p> Use Math to Save Money</p> <p>8.4: Factoring Using the Greatest Common Factor</p> <p> Module 8 Organizer</p> <p> Module 8 Review Problems</p> <p> How Am I Doing? Module 8 Test</p> <p> Math Coach</p> <p><strong>Module 9: Equations, Inequalities, and Applications</strong></p> <p>9.1: Addition and Multiplication Principles of Equality</p> <p>9.2: Using Both Principles of Equality Together</p> <p>9.3: Solving Equations with Fractions</p> <p> How Am I Doing? Topics 9.1–9.3</p> <p>9.4: Formulas</p> <p>9.5: Using Equations to Solve Word Problems</p> <p>9.6: Solving Word Problems Involving Money and Percents</p> <p>9.7: Solving Inequalities in One Variable</p> <p> Use Math to Save Money</p> <p> Module 9 Organizer</p> <p> Module 9 Review Problems</p> <p> How Am I Doing? Module 9 Test</p> <p> Math Coach</p> <p><strong>Module 10: Graphing and Functions</strong></p> <p>10.1: The Rectangular Coordinate System</p> <p>10.2: Graphing Linear Equations</p> <p>10.3: The Slope of a Line</p> <p> How Am I Doing? Topics 10.1–10.3</p> <p>10.4: Writing the Equation of a Line</p> <p>10.5: Graphing Linear Inequalities</p> <p>10.6: Functions</p> <p> Use Math to Save Money</p> <p> Module 10 Organizer</p> <p> Module 10 Review Problems</p> <p> How Am I Doing? Module 10 Test</p> <p> Math Coach</p> <p><strong>Module 11: Systems of Linear Equations and Inequalities</strong></p> <p>11.1: Systems of Linear Equations in Two Variables</p> <p>11.2: Systems of Linear Equations in Three Variables</p> <p> How Am I Doing? Topics 11.1–11.2</p> <p>11.3: Applications of Systems of Linear Equations</p> <p>11.4: Systems of Linear Inequalities</p> <p> Use Math to Save Money</p> <p> Module 11 Organizer</p> <p> Module 11 Review Problems</p> <p> How Am I Doing? Module 11 Test</p> <p> Math Coach</p> <p><strong>Module 12: Exponents and Polynomials</strong></p> <p>12.1: The Rules of Exponents</p> <p>12.2: Negative Exponents and Scientific Notation</p> <p>12.3: Fundamental Polynomial Operations</p> <p> How Am I Doing? Topics 12.1–12.3</p> <p>12.4: Multiplying Polynomials</p> <p>12.5: Multiplication -Special Cases</p> <p>12.6: Dividing Polynomials</p> <p>Use Math to Save Money</p> <p> Module 12 Organizer</p> <p> Module 12 Review Problems</p> <p> How Am I Doing? Module 12 Test</p> <p> Math Coach</p> <p><strong>Module 13: Factoring</strong></p> <p>13.1: Removing a Common Factor</p> <p>13.2: Factoring by Grouping</p> <p>13.3: Factoring Trinomials When a = 1</p> <p>13.4: Factoring Trinomials When a ≠ 1</p> <p> How Am I Doing? Topics 13.1–13.4</p> <p>13.5: Special Cases of Factoring</p> <p>13.6: A Brief Review of Factoring</p> <p>13.7: Solving Quadratic Equations by Factoring</p> <p> Use Math to Save Money</p> <p> Module 13 Organizer</p> <p> Module 13 Review Problems</p> <p> How Am I Doing? Module 13 Test</p> <p> Math Coach</p> <p><strong>Module 14: Rational Expressions and Equations</strong></p> <p>14.1: Simplifying Rational Expressions</p> <p>14.2: Multiplying and Dividing Rational Expressions</p> <p>14.3: Adding and Subtracting Rational Expressions</p> <p> How Am I Doing? Topics 14.1–14.3</p> <p>14.4: Simplifying Complex Rational Expressions</p> <p>14.5: Solving Equations Involving Rational Expressions</p> <p>14.6: Ratio, Proportion, and Other Applied Problems</p> <p> Use Math to Save Money</p> <p> Module 14 Organizer</p> <p> Module 14 Review Problems</p> <p> How Am I Doing? Module 14 Test</p> <p> Math Coach</p> <p><strong>Module 15: Rational Exponents and Radicals</strong></p> <p>15.1: Rational Exponents</p> <p>15.2: Radical Expressions and Functions</p> <p>15.3: Simplifying, Adding, and Subtracting Radicals</p> <p>15.4: Multiplying and Dividing Radicals</p> <p>How Am I Doing? Topics 15.1–15.3</p> <p>15.5: Radical Equations</p> <p>15.6: Complex Numbers</p> <p>15.7: Variation</p> <p>Use Math to Save Money</p> <p>Module 15 Organizer</p> <p>Module 15 Review Problems</p> <p>How Am I Doing? Module 15 Test</p> <p>Math Coach</p> <p><strong>Module 16: Quadratic Equations</strong></p> <p>16.1: Quadratic Equations</p> <p>16.2: Solutions to Quadratic Equations-Quadratic Formula</p> <p>16.3: Solving Equations That Are Quadratic in Form</p> <p> How Am I Doing? Topics 16.1–16.3</p> <p>16.4: Formulas and Applications</p> <p> Use Math to Save Money</p> <p> Module 16 Organizer</p> <p> Module 16 Review Problems</p> <p> How Am I Doing? Module 16 Test</p> <p> Math Coach</p> <p><strong>Module 17: The Conic Sections</strong></p> <p>17.1: The Distance Formula and the Circle</p> <p>17.2: The Parabola</p> <p>17.3: The Ellipse</p> <p> How Am I Doing? Topics 17.1–17.3</p> <p>17.4: The Hyperbola</p> <p>17.5: Nonlinear Systems of Equations</p> <p> Use Math to Save Money</p> <p> Module 17 Organizer</p> <p> Module 17 Review Problems</p> <p> How Am I Doing? Module 17 Test</p> <p> Math Coach</p> <p><strong>Module 18: Additional Properties of Functions</strong></p> <p>18.1: Function Notation</p> <p>18.2: General Graphing Procedures for Functions</p> <p> How Am I Doing? Topics 18.1–18.2</p> <p>18.3: Algebraic Operations on Functions</p> <p>18.4: Inverse of a Function</p> <p> Use Math to Save Money</p> <p> Module 18 Organizer</p> <p> Module 18 Review Problems</p> <p> How Am I Doing? Module 18 Test</p> <p> Math Coach</p> <p><strong>Module 19: Logarithmic and Exponential Functions</strong></p> <p>19.1: The Exponential Function</p> <p>19.2: The Logarithmic Function</p> <p>19.3: Properties of Logarithms</p> <p> How Am I Doing? Topics 19.1–19.3</p> <p>19.4: Common and Natural Logarithms; Change of Base</p> <p>19.5: Exponential and Logarithmic Equations</p> <p> Use Math to Save Money</p> <p> Module 19 Organizer</p> <p> Module 19 Review Problems</p> <p> How Am I Doing? Module 19 Test</p> <p> Math Coach</p> <p><strong>Module 20: Additional Topics</strong></p> <p>20.1: Quadratic Functions</p> <p>20.2: Compound and Quadratic Inequalities</p> <p>20.3: Absolute Value Equations and Inequalities</p> <p> Use Math to Save Money</p> <p> Module 20 Organizer</p> <p> Module 20 Review Problems</p> <p> How Am I Doing? Module 20 Test</p> <p> Math Coach</p> <p><strong>Appendices</strong></p> <p>Appendix A: Consumer Finance Applications</p> <p>Appendix B: Introduction to U.S. and Metric Units of Measurement</p> <p>Appendix C: Additional Arithmetic Practice</p> <p>Appendix D: Foundations for Intermediate Algebra: A Transition from Beginning to Intermediate Algebra</p> <p>Appendix E: Determinants and Cramer's Rule</p> <p>Appendix F: Solving Systems of Linear Equations Using Matrices</p> <p> Appendix G: Sets</p>