Discovering Mathematics: A Quantitative Reasoning Approach 1st edition

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• Chapter 1: Introduction to Problem Solving
  • 1.1: Inductive and Deductive Reasoning
  • 1.2: Estimation and Graphs
  • 1.3: Problem-Solving Strategies
  • 1.4: Introduction to Fair Division
  • 1: Prep Test
  • 1: Chapter Review
  • 1: Projects
  • 1: Responsive Lab: Fair Division
  
  
• Chapter 2: Sets and Logic
  • 2.1: Sets, Set Operations, and Applications
  • 2.2: Categorical Logic
  • 2.3: Propositional Logic
  • 2.4: Investigating Fallacies
  • 2: Prep Test
  • 2: Chapter Review
  • 2: Projects
  • 2: Responsive Lab: Venn Diagrams
  
  
• Chapter 3: Proportions and Variation
  • 3.1: Ratio and Rates
  • 3.2: Measurement
  • 3.3: Proportions
  • 3.4: Percent
  • 3.5: Variation
  • 3: Prep Test
  • 3: Chapter Review
  • 3: Projects
  • 3: Responsive Lab: Scaling a Recipe
  
  
• Chapter 4: Managing Your Finances
  • 4.1: Simple Interest
  • 4.2: Compound Interest
  • 4.3: Future and Present Value of an Annuity
  • 4.4: Credit Cards
  • 4.5: Student Loans
  • 4.6: Financial Considerations of Car Ownership
  • 4.7: Financial Considerations of Home Ownership
  • 4.8: Stocks, Bonds, and Mutual Funds
  • 4: Prep Test
  • 4: Chapter Review
  • 4: Projects
  • 4: Responsive Labs: Financing a Car and Credit Cards
  
  
• Chapter 5: Linear Functions
  • 5.1: Introduction to Functions
  • 5.2: Properties of Linear Functions
  • 5.3: Linear Models
  • 5.4: Linear Regression and Correlation
  • 5: Prep Test
  • 5: Chapter Review
  • 5: Projects
  
  
• Chapter 6: Nonlinear Functions
  • 6.1: Exponential Functions
  • 6.2: Logarithmic Functions
  • 6.3: Quadratic Functions
  • 6: Prep Test
  • 6: Chapter Review
  • 6: Projects
  • 6: Responsive Lab: Population Growth
  • 6.8: Stocks, Bonds, and Mutual Funds
  • 6: Chapter Review
  • 6: Labs
  
  
• Chapter 7: Introduction to Probability
  • 7.1: The Counting Principle
  • 7.2: Permutations and Combinations
  • 7.3: Probability and Odds
  • 7.4: Addition and Complement Rules
  • 7.5: Conditional Probability
  • 7.6: Expectation
  • 7: Prep Test
  • 7: Chapter Review
  • 7: Projects
  • 7: Responsive Lab: License Plates
  
  
• Chapter 8: Introduction to Statistics
  • 8.1: Measures of Central Tendency
  • 8.2: Measures of Dispersion
  • 8.3: Measures of Relative Position
  • 8.4: Normal Distributions
  • 8: Prep Test
  • 8: Chapter Review
  • 8: Projects
  • 8: Responsive Lab: Approximately Normal Distributions
  
  
• Chapter 9: Voting and Apportionment
  • 9.1: Introduction to Apportionment
  • 9.2: Introduction to Voting
  • 9.3: Weighted Voting Systems
  • 9: Prep Test
  • 9: Chapter Review
  • 9: Projects
  • 9: Responsive Lab: Arrow's Impossibility Theorem
  
  
• Chapter 10: Circuits and Networks
  • 10.1: Graphs and Euler Circuits
  • 10.2: Weighted Graphs
  • 10.3: Planarity and Euler's Formula
  • 10.4: Graph Coloring
  • 10: Prep Test
  • 10: Chapter Review
  • 10: Projects
  • 10: Responsive Lab: Complete Graph Algorithms
  
  
• Chapter 11: Geometry
  • 11.1: Measurement
  • 11.2: Basic Concepts of Euclidean Geometry
  • 11.3: Perimeter and Area of Plane Figures
  • 11.4: Volume and Surface Area
  • 11.5: Properties of Triangles
  • 11.6: Right Triangle Trigonometry
  • 11.7: Non-Euclidean Geometry
  • 11.8: Fractals
  • 11: Prep Test
  • 11: Chapter Review
  • 11: Projects
  • 11: Responsive Lab: Regular Polygons
  
  
• Chapter A: Appendix A: A Review of Integers, Rational Numbers, and Percents
  • A.1A: Use Inequality Symbols with Integers
  • A.1B: Simplify Expressions with Absolute Value
  • A.2A: Add Integers
  • A.2B: Subtract Integers
  • A.2C: Multiply Integers
  • A.2D: Divide Integers
  • A.3A: Simplify Expressions Containing Exponents
  • A.3B: Use the Order of Operations Agreement to Simplify Expressions
  • A.4A: Multiply Fractions
  • A.4B: Divide Fractions
  • A.4C: Add Fractions
  • A.4D: Subtract Fractions
  • A.4E: Identify the Order Relation Between Two Fractions
  • A.5A: Multiply and Divide Positive and Negative Fractions
  • A.5B: Add and Subtract Positive and Negative Fractions
  • A.6A: Add and Subtract Decimals
  • A.6B: Multiply Decimals
  • A.6C: Divide Fractions
  • A.7A: Convert Fractions to Decimals
  • A.7B: Convert Decimals to Fractions
  • A.7C: Compare a Fraction and a Decimal
  • A.7D: Write Ratios and Rates
  • A.8A: Write a Percent as a Decimal or a Fraction
  • A.8B: Write a Decimal or a Fraction as a Percent
  • A.9A: Find the Square Root of a Perfect Square
  • A.9B: Approximate the Square Root of a Real Number
  
  
• Chapter B: Appendix B: Variable Expressions and Equations
  • B.1A: Evaluate a Variable Expression
  • B.2A: Simplify a Variable Expression Using the Properties of Addition
  • B.2B: Simplify a Variable Expression Using the Properties of Multiplication
  • B.2C: Simplify a Variable Expression Using the Distributive Property
  • B.2D: Simplify General Variable Expressions
  • B.3A: Determine Whether a Given Number Is a Solution of an Equation
  • B.3B: Solve an Equation of the Form x + a = b
  • B.3C: Solve an Equation of the Form ax = b
  • B.3D: Solve the Basic Percent Equation
  • B.3E: Solve Percent Increase and Decrease Problems
  • B.4A: Solve an Equation of the Form ax + b = c
  • B.4B: Solve an Equation of the Form ax + b = cx + d
  • B.4C: Solve an Equation Containing Parentheses
  • B.4D: Solve a Literal Equation for One of the Variables
  • B.4E: Solve an Absolute Value Equation
  • B.5A: Solve a Quadratic Equation by Using the Quadratic Formula
  
  
• Chapter C: Appendix C: Review of Rectangular Coordinates and Graphing
  • C.1A: Graph an Equation in Two Variables
  • C.2A: Evaluate a Function
  • C.2B: Graph a Function