eBook [PDF] Mathematics in Action An Introduction to Algebraic, Graphical, and Numerical Problem Solving, 6th Edition By Consortium for Foundation Mathematics

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eBook [PDF] Mathematics in Action An Introduction to Algebraic, Graphical, and Numerical Problem Solving, 6th Edition By Consortium for Foundation Mathematics Mathematics in Action An Introduction ... to Algebraic, Graphical, and Numerical Problem Solving In Memoriam Contents Preface Our Vision Pedagogical Features What’s New in the Sixth Edition MyLab Math Changes in the Sixth Edition Resources for Success Resources for Success Instructor Resources Student Resources To the Student Chapter 1 Number Sense Cluster 1 Introduction to Problem Solving Activity 1.1 The Bookstore Steps in Problem Solving Objectives Summary Activity 1.1 Exercises Activity 1.1 Activity 1.2 The Classroom Problem-Solving Strategies Objectives The Handshake The Classroom Summary Activity 1.2 Exercises Activity 1.2 Activity 1.3 Properties of Arithmetic Properties and Vocabulary for Arithmetic Calculations Objectives Terminology Commutative Property Associative Property Order of Operations Exponential Expressions Square Roots Using a Calculator to Evaluate Arithmetic Expressions Scientific Notation Computations Using Scientific Notation Summary Activity 1.3 Exercises Activity 1.3 Cluster 1 What Have I Learned? Cluster 1 How Can I Practice? Cluster 2 Problem Solving with Fractions and Decimals (Rational Numbers) Activity 1.4 Top Chef Operations with Fractions and Mixed Numbers Objectives Rational Numbers Adding and Subtracting Like Fractions Adding Fractions Having Different Denominators Multiplying Fractions Dividing Fractions Additional Applications Exercises Activity 1.4 Project 1.5 Course Grades and Your GPA Problem Solving Using Fractions and Decimals Objectives Weighted Averages Summary Project 1.5 Exercises Project 1.5 Cluster 2 What Have I Learned? Cluster 2 How Can I Practice? Cluster 3 Comparisons and Proportional Reasoning Activity 1.6 Everything Is Relative Ratios as Fractions, Decimals, and Percents Objectives Percents Summary Activity 1.6 Exercises Activity 1.6 Activity 1.7 Antidepressant Use Proportional Reasoning Objective Proportional Reasoning Summary Activity 1.7 Exercises Activity 1.7 Activity 1.8 Who Really Did Better? Actual and Relative Change, Percent Increase and Decrease Objectives Relative Change Percent Change Actual Change Versus Relative Change Summary Activity 1.8 Exercises Activity 1.8 Activity 1.9 Going Shopping Growth and Decay Factors Objectives Growth Factors Using Growth Factors in Percent Increase Problems Decay Factors Summary Activity 1.9 Exercises Activity 1.9 Activity 1.10 Take an Additional 20% Off Consecutive Growth and Decay Factors Objectives Cumulative Discounts Cumulative Increases What Goes Up Often Comes Down Summary Activity 1.10 Exercises Activity 1.10 Activity 1.11 Fuel Economy Rates and Unit Analysis Objectives Rates and Unit Analysis Metric System Unit Conversion Summary Activity 1.11 Exercises Activity 1.11 Cluster 3 What Have I Learned? Cluster 3 How Can I Practice? Cluster 4 Problem Solving with Signed Numbers Activity 1.12 Celsius Thermometers Addition and Subtraction of Integers Objectives Absolute Value Adding Signed Numbers Subtracting Signed Numbers Opposites General Method for Adding and Subtracting Signed Numbers Summary Activity 1.12 Exercises Activity 1.12 Activity 1.13 Shedding the Extra Pounds Multiplication and Division of Integers Objective Multiplication of Signed Numbers Division of Signed Numbers Division Involving Zero Summary Activity 1.13 Exercises Activity 1.13 Activity 1.14 Order of Operations Revisited Negative Exponents and Scientific Notation Objectives Negation and Exponentiation Negative Exponents Scientific Notation Revisited Calculations Involving Numbers Written in Scientific Notation Summary Activity 1.14 Exercises Activity 1.14 Cluster 4 What Have I Learned? Cluster 4 How Can I Practice? Chapter 1 Summary Chapter 1 Gateway Review Chapter 2 Variable Sense Cluster 1 Symbolic Rules and Expressions Activity 2.1 Symbolizing Arithmetic Formulas and Algebraic Expressions Objectives Formulas Constructing Algebraic Expressions in Context Interpreting Algebraic Expressions in Context Constructing and Evaluating Formulas Generic Algebraic Expressions Universal Language Summary Activity 2.1 Exercises Activity 2.1 Activity 2.2 Blood Alcohol Levels Represent a Two-Variable Relationship Algebraically, Numerically, and Graphically Objectives Blood Alcohol Concentration—Symbolic Representation Numerical Representation Graphical Representation Medicare Spending Summary Activity 2.2 Exercises Activity 2.2 Internet Exploration Activity 2.3 College Expenses Symbolic Rules Objectives Additional College Expenses Graphical Representation Revisited Summary Activity 2.3 Exercises Activity 2.3 Activity 2.4 Are They the Same? Equivalent Expressions and Grouping Symbols Objectives Equivalent Expressions Summary Activity 2.4 Exercises Activity 2.4 Cluster 1 What Have I Learned? Cluster 1 How Can I Practice? Cluster 2 Solving Equations Activity 2.5 Let’s Go Shopping Solve an Equation Containing One Operation Objectives Solving Equations of the Form ax=b, a≠0, Using an Algebraic Approach Solving Equations of the Form x+a=b Using an Algebraic Approach Summary Activity 2.5 Exercises Activity 2.5 Activity 2.6 Leasing a Copier Solve an Equation Containing Two or More Operations Objectives Solving Equations Algebraically Summary Activity 2.6 Exercises Activity 2.6 Activity 2.7 The Algebra of Weather Solve a Formula for a Specified Variable Objective Windchill Weather Balloon Temperature to What Degree? Summary Activity 2.7 Exercises Activity 2.7 Activity 2.8 Four out of Five Dentists Prefer Crest Proportions Objectives Additional Applications Summary Activity 2.8 Exercises Activity 2.8 Cluster 2 What Have I Learned? Cluster 2 How Can I Practice? Cluster 3 More Problem Solving Using Algebra Activity 2.9 Do It Two Ways Distributive Property, Greatest Common Factor, and Combining Like Terms Objectives Distributive Property Revisited Geometric Interpretation of the Distributive Property Using the Distributive Property to Expand a Factored Expression Extension of the Distributive Property Using the Distributive Property to Factor an Expanded Expression Greatest Common Factor Like Terms Combining Like Terms Summary Activity 2.9 Exercises Activity 2.9 Activity 2.10 Decoding Simplifying Algebraic Expressions Objectives Summary Activity 2.10 Exercises Activity 2.10 Activity 2.11 Comparing Energy Costs Mathematical Models, General Strategy for Solving Linear Equations Objectives Purchasing a Car NBA Basketball Court Summary Activity 2.11 Exercises Activity 2.11 Project 2.12 Summer Job Opportunities Problem Solving Using Linear Equations Objective Sales Construction Restaurants Cluster 3 What Have I Learned? Cluster 3 How Can I Practice? Chapter 2 Summary Chapter 2 Gateway Review Chapter 3 Function Sense and Linear Functions Cluster 1 Function Sense Activity 3.1 Summer Olympics Functions, Numerical and Graphical Representation of Functions Objectives Functions Tabular (Numerical) Representation of a Function Function Notation Domain and Range of a Function Representing Functions Graphically Rectangular Coordinate System Revisited Earth’s Temperature Represented Graphically Summary Activity 3.1 Exercises Activity 3.1 Activity 3.2 How Fast Did You Lose? Average Rate of Change Objective Average Rate of Change Delta Notation Graphical Interpretation of the Average Rate of Change Summary Activity 3.2 Exercises Activity 3.2 Project 3.3 Comparing Symbolically Defined Functions and Their Graphs Objectives Evaluating Functions The Connections among the Symbolic (Algebraic), Numerical (Tabular), and Graphical (Visual) Representations of Functions Evaluating Functions and Solving Equations Algebraically and Graphically Summary Activity 3.3 Exercises Activity 3.3 Activity 3.4 Course Grade Representing Functions Symbolically Objectives Representing Functions Verbally and Symbolically Practical Domain and Range Summary Activity 3.4 Exercises Activity 3.4 Cluster 1 What Have I Learned? Cluster 1 How Can I Practice? Cluster 2 Introduction to Linear Functions Activity 3.5 The Snowy Tree Cricket Slope and Intercepts of a Line Objectives Linear Functions Slope of a Line Geometric Meaning of Slope Horizontal and Vertical Intercepts Summary Activity 3.5 Exercises Activity 3.5 Activity 3.6 Software Sales Slope-Intercept Equation of a Line Objectives Slope-Intercept Form of an Equation of a Line Graphing Linear Functions Using the Vertical Intercept and Slope Graphing Linear Functions Using Intercepts Parallel Lines Summary Activity 3.6 Exercises Activity 3.6 Activity 3.7 Predicting Population Problem Solving Using Slope-Intercept Equation of a Line Objectives Summary Activity 3.7 Exercises Activity 3.7 Activity 3.8 College Tuition Point-Slope Equation of a Line Objectives Point-Slope Form of an Equation of a Line Horizontal Line Vertical Line Summary Activity 3.8 Exercises Activity 3.8 Cluster 2 What Have I Learned? Cluster 2 How Can I Practice? Cluster 3 Linear Regression, Systems, and Inequalities Activity 3.9 Education Pays Line of Best Fit and Regression Equations Objectives Goodness-of-Fit Measure Regression Line Summary Activity 3.9 Exercises Activity 3.9 Lab 3.10 Body Parts Problem Solving Using Regression Equations Objectives Predicting Height from Bone Length Activity 3.11 Smartphone Plan Options Systems of Linear Equations in Two Variables Objectives System of Two Linear Equations Substitution Method for Solving a System of Two Linear Equations Summary Activity 3.11 Exercises Activity 3.11 Activity 3.12 Healthy Lifestyle Solving a System of Linear Equations in Two Variables Using the Addition Method Objectives Substitution Method Revisited Addition (or Elimination) Method for Solving a System of Two Linear Equations Summary Activity 3.12 Exercises Activity 3.12 Project 3.13 Modeling a Business Problem Solving Using Systems of Linear Equations in Two Variables Objectives Activity 3.14 How Long Can You Live? Linear Inequalities Objective Solving Inequalities in One Variable Algebraically Summary Activity 3.14 Exercises Activity 3.14 Cluster 3 What Have I Learned? Cluster 3 How Can I Practice? Chapter 3 Summary Chapter 3 Gateway Review Chapter 4 An Introduction to Nonlinear Problem Solving Cluster 1 Mathematical Modeling Involving Polynomials Activity 4.1: Fatal Crashes Polynomials Objectives Polynomials Terminology Simplifying, Adding, and Subtracting Polynomials Evaluating Polynomial Functions Summary Activity 4.1 Exercises Activity 4.1 Activity 4.2: Volume of a Storage Box Properties of Exponents Objectives Property 1 of Exponents: Multiplying Powers Having the Same Base Property 2 of Exponents: Dividing Powers Having the Same Base b,b≠0 Property 3 of Exponents: Raising a Product or Quotient to a Power Property 4 of Exponents: Raising a Power to a Power Defining Zero and Negative Integer Exponents Summary Activity 4.2 Exercises Activity 4.2 Activity 4.3: Room for Work Operations with Polynomials Objectives Product of Any Two Polynomials Difference of Squares Perfect-Square Trinomials Summary Activity 4.3 Exercises Activity 4.3 Cluster 1 What Have I Learned? Cluster 1 How Can I Practice? Cluster 2 Problem Solving with Quadratic Equations and Functions Activity 4.4: The Amazing Property of Gravity Solving Quadratic Equations Objectives Solving Equations of the Form ax2=c, a≠0 Graph of a Quadratic Function Solving Equations of the Form ax2=c, a≠0: A Second Look Summary Activity 4.4 Exercises Activity 4.4 Activity 4.5: What Goes Up, Comes Down Quadratic Functions and Their Graphs Objectives Solving Equations of the Form ax2+bx=0,a≠0 Summary Activity 4.5 Exercises Activity 4.5 Activity 4.6: How High Did It Go? Solving Quadratic Equations by Factoring Objectives Solving Equations of the Form ax2+bx+c=0, a≠0 Summary Activity 4.6 Exercises Activity 4.6 Activity 4.7: More Ups and Downs Solving Quadratic Equations Using the Quadratic Formula Objectives Summary Activity 4.7 Exercises Activity 4.7 Cluster 2 What Have I Learned? Cluster 2 How Can I Practice? Cluster 3 Other Nonlinear Functions Activity 4.8: Inflation Exponential Functions Objectives Exponential Growth Exponential Decay Summary Activity 4.8 Exercises Activity 4.8 Activity 4.9: A Thunderstorm Direct Variation Objectives Summary Activity 4.9 Exercises Activity 4.9 Activity 4.10: Diving under Pressure, or Don’t Hold Your Breath Inverse Variation Objectives Functions Defined by y=kx2, Where k Is a Nonzero Constant Summary Activity 4.10 Exercises Activity 4.10 Activity 4.11: Hang Time Square Root Functions Objectives Summary Activity 4.11 Exercises Activity 4.11 Cluster 3 What Have I Learned? Cluster 3 How Can I Practice? Chapter 4 Summary Chapter 4 Gateway Review Appendix A Fractions Proper and Improper Fractions Reducing a Fraction Mixed Numbers Changing an Improper Fraction, ab, to a Mixed Number Changing a Mixed Number to an Improper Fraction Exercises Finding a Common Denominator of Two Fractions Equivalent Fractions Comparing Fractions: Determining Which Is Greater, Is ab<cd or Is ab>cd ? Exercises Addition and Subtraction of Fractions with the Same Denominators Addition and Subtraction of Fractions with Different Denominators Addition and Subtraction of Mixed Numbers Exercises Multiplying Fractions Dividing by a Fraction Exercises Multiplying or Dividing Mixed Numbers Exercises Fractions and Percents Exercises Appendix B Decimals Reading and Writing Decimal Numbers Exercises Rounding a Number to a Specified Place Value Exercises Converting a Fraction to a Decimal Exercises Converting a Terminating Decimal to a Fraction Exercises Converting a Decimal to a Percent Exercises Converting a Percent to a Decimal Exercises Comparing Decimals Exercises Adding and Subtracting Decimals Exercises Multiplying Decimals Exercises Dividing Decimals Exercises Appendix C Skills Checks Skills Check 1 Skills Check 2 Appendix D Algebraic Extensions Properties of Exponents Exercises Addition Method for Solving a System of Two Linear Equations Exercises Factoring Trinomials with Leading Coefficient≠1 Exercises Solving Equations by Factoring Exercises Appendix E Getting Started with the TI-84 Plus Family of Calculators The Home Screen ANS and ENTRY Functions and Graphing with the TI-84 Plus CE Y= menu Tables of Values Graphing a Function The Viewing Window Zoom Menu Solving Equations Graphically Using the TI-84 Plus CE The Intersection Method Using the TI-84 Plus CE to Determine the Linear Regression Equation for a Set of Paired Data Values Selected Answers Chapter 1 Activity 1.2 Exercises: Activity 1.3. Exercises: What Have I Learned? How Can I Practice? Activity 1.4. Exercises: Project 1.5. Exercises: What Have I Learned? How Can I Practice? Activity 1.6. Exercises: Activity 1.7. Exercises: Activity 1.8. Exercises: Activity 1.9. Exercises: Activity 1.10. Exercises: Activity 1.11. Exercises: What Have I Learned? How Can I Practice? Skills Check 1: Appendix C Activity 1.12 Exercises: Activity 1.13 Exercises: Activity 1.14 Exercises: What Have I Learned? How Can I Practice? Skills Check 2: Appendix C Gateway Review Glossary Index [Show More]

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