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Prealgebra, 4/e, helps students make the transition from the concrete world of arithmetic to the symbolic world of algebra. The Aufmann team achieves this by introducing variables in Chapter 1 and integrating them throughout the rest of the text. This text's single greatest strength is the Aufmann Interactive Method, which enables students to work with the math concepts as they're being introduced. In addition, the text strongly emphasizes the AMATYC standards, with a special focus on real-sourced data.
1. Whole Numbers
Section 1.1 Introduction to Whole Numbers
Section 1.2 Addition and Subtraction of Whole Numbers
Section 1.3 Multiplication and Division of Whole Numbers
Section 1.4 Solving Equations with Whole Numbers
Section 1.5 The Order of Operations Agreement
Focus on Problem Solving: Questions to Ask
Projects and Group Activities: Surveys/Applications of Surveys in Mathematics/Salary Calculator/Subtraction Squares
2. Integers
Section 2.1 Introduction to Integers
Section 2.2 Addition and Subtraction of Integers
Section 2.3 Multiplication and Division of Integers
Section 2.4 Solving Equations with Integers
Section 2.5 The Order of Operations Agreement
Focus on Problem Solving: Drawing Diagrams
Projects and Group Activities: Time Zones/Multiplication of Integers/Closure/Morse Code/Binary Code
3. Fractions
Section 3.1 Least Common Multiple and Greatest Common Factor
Section 3.2 Introduction to Fractions
Section 3.3 Addition and Subtraction of Fractions
Section 3.4 Multiplication and Division of Fractions
Section 3.5 Solving Equations with Fractions
Section 3.6 Exponents, Complex Fractions, and The Order of Operations
Agreement
Focus on Problem Solving: Common Knowledge
Projects and Group Activities: Music/Construction/Fractions of Diagrams/Puzzle from the Middle Ages/Using Patterns in Experimentation
4. Decimals and Real Numbers
Section 4.1 Introduction to Decimals
Section 4.2 Operations on Decimals
Section 4.3 Solving Equations with Decimals
Section 4.4 Radical Expressions
Section 4.5 Real Numbers
Focus on Problem Solving: From Concrete to Abstract
Projects and Group Activities: Averages/Sequences/Customer Billing
5. Variable Expressions
Section 5.1 Properties of Real Numbers
Section 5.2 Variable Expressions in Simplest Form
Section 5.3 Addition and Subtraction of Polynomials
Section 5.4 Multiplication of Monomials
Section 5.5 Multiplication of Polynomials
Section 5.6 Division of Monomials
Section 5.7 Verbal Expressions and Variable Expressions
Focus on Problem Solving: Look for a Pattern
Projects and Group Activities: Multiplication of Polynomials
6. First-Degree Equations
Section 6.1 Equations of the Form x + a = b and ax = b
Section 6.2 Equations of the Form ax + b = c
Section 6.3 General First-Degree Equations
Section 6.4 Translating Sentences into Equations
Section 6.5 The Rectangular Coordinate System
Section 6.6 Graphs of Straight Lines
Focus on Problem Solving: Making a Table
Projects in Mathematics: Modular Arithmetic
7. Measurement and Proportion
Section 7.1 The Metric System of Measurement
Section 7.2 Ratios and Rates
Section 7.3 The U.S. Customary System of Measurement
Section 7.4 Proportion
Section 7.5 Direct and Inverse Variation
Focus on Problem Solving: Relevant Information
Projects in Mathematics: Earned Run Average/Joint Variation
8. Percent
Section 8.1 Percent
Section 8.2 The Basic Percent Equation
Section 8.3 Percent Increase and Percent Decrease
Section 8.4 Markup and Discount
Section 8.5 Simple Interest
Focus on Problem Solving: Using a Calculator as a Problem-Solving Tool
Projects in Mathematics: Buying a Car. Demography. Health and Nutrition
9. Geometry
Section 9.1 Introduction to Geometry
Section 9.2 Plane Geometric Figures
Section 9.3 Triangles
Section 9.4 Solids
Section 9.5 Composite Figures
Focus on Problem Solving: Trial and Error
Projects in Mathematics: Lines of Symmetry. Preparing a Circle Graph
10. Statistics and Probability
Section 10.1 Organizing Data
Section 10.2 Statistical Measures
Section 10.3 Introduction to Probability
Focus on Problem Solving: Applying Solutions to Other Problems
Projects in Mathematics: Random Samples. Working Backwards
Final Examination
Appendix
Solutions to Student Examples
Answers to Odd-Numbered Exercises
Index
Richard N. Aufmann, Vernon C. Barker and Joanne Lockwood
ISBN13: 978-0618372621Prealgebra, 4/e, helps students make the transition from the concrete world of arithmetic to the symbolic world of algebra. The Aufmann team achieves this by introducing variables in Chapter 1 and integrating them throughout the rest of the text. This text's single greatest strength is the Aufmann Interactive Method, which enables students to work with the math concepts as they're being introduced. In addition, the text strongly emphasizes the AMATYC standards, with a special focus on real-sourced data.
Table of Contents
1. Whole Numbers
Section 1.1 Introduction to Whole Numbers
Section 1.2 Addition and Subtraction of Whole Numbers
Section 1.3 Multiplication and Division of Whole Numbers
Section 1.4 Solving Equations with Whole Numbers
Section 1.5 The Order of Operations Agreement
Focus on Problem Solving: Questions to Ask
Projects and Group Activities: Surveys/Applications of Surveys in Mathematics/Salary Calculator/Subtraction Squares
2. Integers
Section 2.1 Introduction to Integers
Section 2.2 Addition and Subtraction of Integers
Section 2.3 Multiplication and Division of Integers
Section 2.4 Solving Equations with Integers
Section 2.5 The Order of Operations Agreement
Focus on Problem Solving: Drawing Diagrams
Projects and Group Activities: Time Zones/Multiplication of Integers/Closure/Morse Code/Binary Code
3. Fractions
Section 3.1 Least Common Multiple and Greatest Common Factor
Section 3.2 Introduction to Fractions
Section 3.3 Addition and Subtraction of Fractions
Section 3.4 Multiplication and Division of Fractions
Section 3.5 Solving Equations with Fractions
Section 3.6 Exponents, Complex Fractions, and The Order of Operations
Agreement
Focus on Problem Solving: Common Knowledge
Projects and Group Activities: Music/Construction/Fractions of Diagrams/Puzzle from the Middle Ages/Using Patterns in Experimentation
4. Decimals and Real Numbers
Section 4.1 Introduction to Decimals
Section 4.2 Operations on Decimals
Section 4.3 Solving Equations with Decimals
Section 4.4 Radical Expressions
Section 4.5 Real Numbers
Focus on Problem Solving: From Concrete to Abstract
Projects and Group Activities: Averages/Sequences/Customer Billing
5. Variable Expressions
Section 5.1 Properties of Real Numbers
Section 5.2 Variable Expressions in Simplest Form
Section 5.3 Addition and Subtraction of Polynomials
Section 5.4 Multiplication of Monomials
Section 5.5 Multiplication of Polynomials
Section 5.6 Division of Monomials
Section 5.7 Verbal Expressions and Variable Expressions
Focus on Problem Solving: Look for a Pattern
Projects and Group Activities: Multiplication of Polynomials
6. First-Degree Equations
Section 6.1 Equations of the Form x + a = b and ax = b
Section 6.2 Equations of the Form ax + b = c
Section 6.3 General First-Degree Equations
Section 6.4 Translating Sentences into Equations
Section 6.5 The Rectangular Coordinate System
Section 6.6 Graphs of Straight Lines
Focus on Problem Solving: Making a Table
Projects in Mathematics: Modular Arithmetic
7. Measurement and Proportion
Section 7.1 The Metric System of Measurement
Section 7.2 Ratios and Rates
Section 7.3 The U.S. Customary System of Measurement
Section 7.4 Proportion
Section 7.5 Direct and Inverse Variation
Focus on Problem Solving: Relevant Information
Projects in Mathematics: Earned Run Average/Joint Variation
8. Percent
Section 8.1 Percent
Section 8.2 The Basic Percent Equation
Section 8.3 Percent Increase and Percent Decrease
Section 8.4 Markup and Discount
Section 8.5 Simple Interest
Focus on Problem Solving: Using a Calculator as a Problem-Solving Tool
Projects in Mathematics: Buying a Car. Demography. Health and Nutrition
9. Geometry
Section 9.1 Introduction to Geometry
Section 9.2 Plane Geometric Figures
Section 9.3 Triangles
Section 9.4 Solids
Section 9.5 Composite Figures
Focus on Problem Solving: Trial and Error
Projects in Mathematics: Lines of Symmetry. Preparing a Circle Graph
10. Statistics and Probability
Section 10.1 Organizing Data
Section 10.2 Statistical Measures
Section 10.3 Introduction to Probability
Focus on Problem Solving: Applying Solutions to Other Problems
Projects in Mathematics: Random Samples. Working Backwards
Final Examination
Appendix
Solutions to Student Examples
Answers to Odd-Numbered Exercises
Index