Worksheets with the Math Coach for Developmental Mathematics

John Tobey received his BA in mathematics from Wheaton College in Wheaton, Illinois in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and served as the Mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts for five years. John has served as the president of the New England Mathematics Association of Two Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of seven mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts.Jeffrey Slater has been a professor at North Shore Community College for thirty-eight years and received the Teacher of the Year award in 2002. Jeff travels around the country speaking on student retention and is also a consultant to the Federal Government. He lives in Marblehead, Massachusetts with his wife Shelley and his yellow lab Gracie.Jamie Blair has directed the Mathematics Learning Center at Orange Coast College for the past seventeen years. She designed, developed, and implemented the Center, and as a result of this effort has provided technical expertise related to the particulars of the Math Center to numerous other two-year colleges and at many conferences. In 2007 Jamie was appointed to the Team of Basic Skills Specialist by the California State Academic Senate. She is also currently participating on Title 3 committees on her campus. She specializes in teaching students who have never been successful in mathematics. She is an expert in the area of basic skills in relation to the learning needs of students. She lives in California.Jennifer Crawford received her BS in mathematics from the University of Minnesota – Duluth in 1995 and her MS in mathematics from the University of Minnesota – Twin Cities in 1998. She taught a wide range of courses at North Shore Community College in Danvers, Massachusetts for five years. She currently teaches at Normandale Community College in Bloomington, Minnesota where her focus is working with developmental math students. She lives in Minneapolis, Minnesota with her husband, two young children, and black lab.

• Module 1: Whole Numbers and Introduction to Algebra1.1: Understanding Whole Numbers1.2: Adding Whole Number Expressions1.3: Subtracting Whole Number Expressions1.4: Multiplying Whole Number Expressions1.5: Dividing Whole Number Expressions1.6: Exponents and the Order of OperationsUse Math to Save MoneyHow Am I Doing? Topics 1.1–1.61.7: More on Algebraic Expressions1.8: Introduction to Solving Linear Equations1.9: Solving Applied Problems Using Several OperationsModule 1 OrganizerModule 1 Review ProblemsHow Am I Doing? Module 1 TestMath CoachModule 2: Integers2.1: Understanding Integers2.2: Adding Integers2.3: Subtracting IntegersUse Math to Save MoneyHow Am I Doing? Topics 2.1–2.32.4: Multiplying and Dividing Integers2.5: The Order of Operations and Applications Involving Integers2.6: Simplifying and Evaluating Algebraic ExpressionsModule 2 OrganizerModule 2 Review ProblemsHow Am I Doing? Module 2 TestMath CoachModule 3: Introduction to Equations and Algebraic Expressions3.1: Equations of the form x + a = c and x - a = c3.2: Equations of the form ax = cHow Am I Doing? Topics 3.1–3.23.3: Equations and Geometric FormulasUse Math to Save Money3.4: Performing Operations with ExponentsModule 3 OrganizerModule 3 Review ProblemsHow Am I Doing? Module 3 TestMath CoachModule 4: Fractions, Ratio, and Proportions4.1: Factoring Whole Numbers4.2: Understanding Fractions4.3: Simplifying Fractional ExpressionsUse Math to Save MoneyHow Am I Doing? Topics 4.1–4.34.4: Simplifying Fractional Expressions with Exponents4.5: Ratios and Rates4.6: Proportions and ApplicationsModule 4 OrganizerModule 4 Review ProblemsHow Am I Doing? Module 4 TestMath CoachModule 5: Operations on Fractional Expressions5.1: Multiplying and Dividing Fractional Expressions5.2: Least Common Multiples of Algebraic Expressions5.3: Adding and Subtracting Fractional Expressions5.4: Operations with Mixed NumbersUse Math to Save MoneyHow Am I Doing? Topics 5.1–5.45.5: Order of Operations and Complex Fractions5.6: Solving Applied Problems Involving Fractions5.7: The Multiplication Principle of EqualityModule 5 OrganizerModule 5 Review ProblemsHow Am I Doing? Module 5 TestMath CoachModule 6: Decimals and Percents6.1: Understanding Decimal Fractions6.2: Adding and Subtracting Decimal Expressions6.3: Multiplying and Dividing Decimal ExpressionsHow Am I Doing? Topics 6.1–6.36.4: Estimating with Percents6.5: Percents6.6: Solving Percent Problems Using Equations6.7: Solving Percent Problems Using Proportions6.8: Solving Applied Problems Involving PercentsUse Math to Save MoneyModule 6 OrganizerModule 6 Review ProblemsHow Am I Doing? Module 6 TestMath CoachModule 7: Measurement and Geometric Figures7.1: Using Unit Fractions with U.S. and Metric Units7.2: Converting Between the U.S. and Metric Systems7.3: AnglesHow Am I Doing? Topics 7.1–7.37.4: The Circle7.5: Volume7.6: Similar Geometric FiguresUse Math to Save MoneyModule 7 OrganizerModule 7 Review ProblemsHow Am I Doing? Module 7 TestMath CoachModule 8: Introduction to Polynomials8.1: Adding and Subtracting Polynomials8.2: Multiplying PolynomialsHow Am I Doing? Topics 8.1–8.28.3: Translate from English to AlgebraUse Math to Save Money8.4: Factoring Using the Greatest Common FactorModule 8 OrganizerModule 8 Review ProblemsHow Am I Doing? Module 8 TestMath CoachModule 9: Equations, Inequalities, and Applications9.1: Addition and Multiplication Principles of Equality9.2: Using Both Principles of Equality Together9.3: Solving Equations with FractionsHow Am I Doing? Topics 9.1–9.39.4: Formulas9.5: Using Equations to Solve Word Problems9.6: Solving Word Problems Involving Money and Percents9.7: Solving Inequalities in One VariableUse Math to Save MoneyModule 9 OrganizerModule 9 Review ProblemsHow Am I Doing? Module 9 TestMath CoachModule 10: Graphing and Functions10.1: The Rectangular Coordinate System10.2: Graphing Linear Equations10.3: The Slope of a LineHow Am I Doing? Topics 10.1–10.310.4: Writing the Equation of a Line10.5: Graphing Linear Inequalities10.6: FunctionsUse Math to Save MoneyModule 10 OrganizerModule 10 Review ProblemsHow Am I Doing? Module 10 TestMath CoachModule 11: Systems of Linear Equations and Inequalities11.1: Systems of Linear Equations in Two Variables11.2: Systems of Linear Equations in Three VariablesHow Am I Doing? Topics 11.1–11.211.3: Applications of Systems of Linear Equations11.4: Systems of Linear InequalitiesUse Math to Save MoneyModule 11 OrganizerModule 11 Review ProblemsHow Am I Doing? Module 11 TestMath CoachModule 12: Exponents and Polynomials12.1: The Rules of Exponents12.2: Negative Exponents and Scientific Notation12.3: Fundamental Polynomial OperationsHow Am I Doing? Topics 12.1–12.312.4: Multiplying Polynomials12.5: Multiplication -Special Cases12.6: Dividing PolynomialsUse Math to Save MoneyModule 12 OrganizerModule 12 Review ProblemsHow Am I Doing? Module 12 TestMath CoachModule 13: Factoring13.1: Removing a Common Factor13.2: Factoring by Grouping13.3: Factoring Trinomials When a = 113.4: Factoring Trinomials When a ≠ 1How Am I Doing? Topics 13.1–13.413.5: Special Cases of Factoring13.6: A Brief Review of Factoring13.7: Solving Quadratic Equations by FactoringUse Math to Save MoneyModule 13 OrganizerModule 13 Review ProblemsHow Am I Doing? Module 13 TestMath CoachModule 14: Rational Expressions and Equations14.1: Simplifying Rational Expressions14.2: Multiplying and Dividing Rational Expressions14.3: Adding and Subtracting Rational ExpressionsHow Am I Doing? Topics 14.1–14.314.4: Simplifying Complex Rational Expressions14.5: Solving Equations Involving Rational Expressions14.6: Ratio, Proportion, and Other Applied ProblemsUse Math to Save MoneyModule 14 OrganizerModule 14 Review ProblemsHow Am I Doing? Module 14 TestMath CoachModule 15: Rational Exponents and Radicals15.1: Rational Exponents15.2: Radical Expressions and Functions15.3: Simplifying, Adding, and Subtracting Radicals15.4: Multiplying and Dividing RadicalsHow Am I Doing? Topics 15.1–15.315.5: Radical Equations15.6: Complex Numbers15.7: VariationUse Math to Save MoneyModule 15 OrganizerModule 15 Review ProblemsHow Am I Doing? Module 15 TestMath CoachModule 16: Quadratic Equations16.1: Quadratic Equations16.2: Solutions to Quadratic Equations-Quadratic Formula16.3: Solving Equations That Are Quadratic in FormHow Am I Doing? Topics 16.1–16.316.4: Formulas and ApplicationsUse Math to Save MoneyModule 16 OrganizerModule 16 Review ProblemsHow Am I Doing? Module 16 TestMath CoachModule 17: The Conic Sections17.1: The Distance Formula and the Circle17.2: The Parabola17.3: The EllipseHow Am I Doing? Topics 17.1–17.317.4: The Hyperbola17.5: Nonlinear Systems of EquationsUse Math to Save MoneyModule 17 OrganizerModule 17 Review ProblemsHow Am I Doing? Module 17 TestMath CoachModule 18: Additional Properties of Functions18.1: Function Notation18.2: General Graphing Procedures for FunctionsHow Am I Doing? Topics 18.1–18.218.3: Algebraic Operations on Functions18.4: Inverse of a FunctionUse Math to Save MoneyModule 18 OrganizerModule 18 Review ProblemsHow Am I Doing? Module 18 TestMath CoachModule 19: Logarithmic and Exponential Functions19.1: The Exponential Function19.2: The Logarithmic Function19.3: Properties of LogarithmsHow Am I Doing? Topics 19.1–19.319.4: Common and Natural Logarithms; Change of Base19.5: Exponential and Logarithmic EquationsUse Math to Save MoneyModule 19 OrganizerModule 19 Review ProblemsHow Am I Doing? Module 19 TestMath CoachModule 20: Additional Topics20.1: Quadratic Functions20.2: Compound and Quadratic Inequalities20.3: Absolute Value Equations and InequalitiesUse Math to Save MoneyModule 20 OrganizerModule 20 Review ProblemsHow Am I Doing? Module 20 TestMath CoachAppendicesAppendix A: Consumer Finance ApplicationsAppendix B: Introduction to U.S. and Metric Units of MeasurementAppendix C: Additional Arithmetic PracticeAppendix D: Foundations for Intermediate Algebra: A Transition from Beginning to Intermediate AlgebraAppendix E: Determinants and Cramer's RuleAppendix F: Solving Systems of Linear Equations Using MatricesAppendix G: Sets