ISBN13: 978-0395851852

ISBN10: 0395851858

Cover type:

Edition/Copyright: 2ND 98

Publisher: Houghton Mifflin Harcourt

Published: 1998

International: No

ISBN10: 0395851858

Cover type:

Edition/Copyright: 2ND 98

Publisher: Houghton Mifflin Harcourt

Published: 1998

International: No

The Second Edition of this best-selling text retains the core strengths of its first edition, namely: clear writing, abundant exercises, extensive pedagogy, and a complete support package but features a renewed emphasis on algebra. Graphing technology is now introduced only as part of a discovery learning approach. This important revision targets the progressive mainstream, a growing majority that now uses graphing technology to complement an otherwise traditional approach.

- The Second Edition includes more pedagogy for instructors who want to teach within a traditional framework. The pedagogy emphasizes discovery learning, modeling, real data, the rule of three (with more tables for increased numeric emphasis), and optional group work, and includes material on probability, statistics, and data analysis.
- In keeping with AMATYC philosophy, the graphing calculator is covered as an instructional tool, not a topic. Used in explorations, examples, and exercises in the Second Edition, technology helps students develop a concrete, visual understanding of mathematical concepts.
- With an emphasis on thinking, writing, and application, the Second Edition helps students see themselves as users of mathematics in their chosen fields.
- Clear explanations of concepts and procedures are provided in every feature: boxes highlighting procedures, definitions, and properties; numerous step-by-step worked examples with annotations; learning tips; notes providing special explanatory remarks; and Quick Reference sections summarizing major definitions, rules, properties, and procedures by subsection.
- The text emphasizes writing and critical thinking through Class Discussion questions and Think About It exercises. Speaking the Language features foster vocabulary development. And, writing exercises (indicated by pencil icon) offer opportunities to write about mathematical concepts.

Note: Each chapter contains review exercises,

**1. The Real Number System**

1.1 The Real Numbers

1.2 Addition

1.3 Subtraction

1.4 Multiplication

Links to Other Math Sites: Venn Diagrams

1.5 Division

1.6 Exponents, Square Roots, Order of Operations

1.7 Properties of Real Numbers

Chapter Project: Air Pressure and Altitude

**2. Expressions and Functions**

2.1 Algebraic Expressions and Formulas

2.2 Simplifying Expressions

2.3 The Coordinate Plane

Links to Other Math Sites: Permutations

2.4 Evaluating Expressions Graphically

2.5 Relations and Functions

2.6 Functions: Notation and Evaluation

2.7 Analysis of Functions

Chapter Project: Bicycle Helmet Sales

1-2 Cumulative Test

**3. Linear Equations and Inequalities**

3.1 Introduction to Linear Equations

3.2 Solving Linear Equations

3.3 Formulas

3.4 Modeling and Problem Solving

Links to Other Math Sites: Combinations

3.5 Applications

3.6 Linear Inequalities

3.7 Compound Inequalities

3.8 Absolute Value: Equations and Inequalities

Chapter Project: Juvenile Crime

**4. Properties of Lines**

4.1 Linear Equations in Two Variables

4.2 Slope of a Line

Links to Other Math Sites: Probability

4.3 Applications of Slope

4.4 Equations of Lines

4.5 Graphs of Linear Inequalities

Chapter Project: Bald Eagle Populations

**5. Systems of Linear Equations**

5.1 The Graphing and Substitution Methods

5.2 The Addition Method

5.3 Systems of Equations in Three Variables

Links to Other Math Sites: Combined Probability

5.4 Matrices

5.5 Applications

5.6 Systems of Linear Inequalities

Chapter Project: Office Communications

3-5 Cumulative Test

**6. Exponents and Polynomials**

6.1 Properties of Exponents

6.2 Zero and Negative Exponents

6.3 Scientific Notation

Links to Other Math Sites: Organization of Data

6.4 Polynomials

6.5 Multiplication and Special Products

Chapter Project: NASA Facts

**7. Factoring**

7.1 Common Factors and Grouping

7.2 Special Factoring

7.3 Factoring Trinomials of the form *ax2* + *bx* +* c*

Links to Other Math Sites: Central Tendency

7.4 Solving Equations by Factoring

7.5 Division

7.6 The Remainder and Factor Theorems

Chapter Project: Foreign Currency Exchange

**8. Rational Expressions**

8.1 Introduction to Rational Expressions

8.2 Multiplication and Division

8.3 Addition and Subtraction

Links to Other Math Sites: Quartiles

8.4 Complex Fractions

8.5 Equations with Rational Expressions

8.6 Applications

Chapter Project: Major League Salaries

6-8 Cumulative Test

**9. Radical Expressions**

9.1 Radicals

9.2 Rational Exponents

9.3 Properties of Rational Exponents

9.4 The Product Rule for Radicals

Links to Other Math Sites: Dispersion

9.5 The Quotient Rule for Radicals

9.6 Operations with Radicals

9.7 Equations with Radicals and Exponents

9.8 Complex Numbers

Chapter Project: Visitors to National Parks and Monuments

**10. Quadratic Equations**

10.1 Special Methods

10.2 Completing the Square

10.3 The Quadratic Formula

10.4 Equations in Quadratic Form

10.5 Applications

10.6 Quadratic Inequalities

10.7 Higher Degree and Rational Inequalities

Links to Other Math Sites: Correlation

10.8 Quadratic Functions

Chapter Project: Heart Attack Risks

**11. Exponential and Logarithmic Functions**

11.1 Algebra of Functions

11.2 Inverse Functions

11.3 Exponential Functions

Links to Other Math Sites: Bell Curve

11.4 Logarithmic Functions

11.5 Properties of Logarithms

11.6 Logarithmic and Exponential Equations

Chapter Project: Telecommuting

9-11 Cumulative Test

ISBN10: 0395851858

Cover type:

Edition/Copyright: 2ND 98

Publisher: Houghton Mifflin Harcourt

Published: 1998

International: No

The Second Edition of this best-selling text retains the core strengths of its first edition, namely: clear writing, abundant exercises, extensive pedagogy, and a complete support package but features a renewed emphasis on algebra. Graphing technology is now introduced only as part of a discovery learning approach. This important revision targets the progressive mainstream, a growing majority that now uses graphing technology to complement an otherwise traditional approach.

- The Second Edition includes more pedagogy for instructors who want to teach within a traditional framework. The pedagogy emphasizes discovery learning, modeling, real data, the rule of three (with more tables for increased numeric emphasis), and optional group work, and includes material on probability, statistics, and data analysis.
- In keeping with AMATYC philosophy, the graphing calculator is covered as an instructional tool, not a topic. Used in explorations, examples, and exercises in the Second Edition, technology helps students develop a concrete, visual understanding of mathematical concepts.
- With an emphasis on thinking, writing, and application, the Second Edition helps students see themselves as users of mathematics in their chosen fields.
- Clear explanations of concepts and procedures are provided in every feature: boxes highlighting procedures, definitions, and properties; numerous step-by-step worked examples with annotations; learning tips; notes providing special explanatory remarks; and Quick Reference sections summarizing major definitions, rules, properties, and procedures by subsection.
- The text emphasizes writing and critical thinking through Class Discussion questions and Think About It exercises. Speaking the Language features foster vocabulary development. And, writing exercises (indicated by pencil icon) offer opportunities to write about mathematical concepts.

Table of Contents

Note: Each chapter contains review exercises,

**1. The Real Number System**

1.1 The Real Numbers

1.2 Addition

1.3 Subtraction

1.4 Multiplication

Links to Other Math Sites: Venn Diagrams

1.5 Division

1.6 Exponents, Square Roots, Order of Operations

1.7 Properties of Real Numbers

Chapter Project: Air Pressure and Altitude

**2. Expressions and Functions**

2.1 Algebraic Expressions and Formulas

2.2 Simplifying Expressions

2.3 The Coordinate Plane

Links to Other Math Sites: Permutations

2.4 Evaluating Expressions Graphically

2.5 Relations and Functions

2.6 Functions: Notation and Evaluation

2.7 Analysis of Functions

Chapter Project: Bicycle Helmet Sales

1-2 Cumulative Test

**3. Linear Equations and Inequalities**

3.1 Introduction to Linear Equations

3.2 Solving Linear Equations

3.3 Formulas

3.4 Modeling and Problem Solving

Links to Other Math Sites: Combinations

3.5 Applications

3.6 Linear Inequalities

3.7 Compound Inequalities

3.8 Absolute Value: Equations and Inequalities

Chapter Project: Juvenile Crime

**4. Properties of Lines**

4.1 Linear Equations in Two Variables

4.2 Slope of a Line

Links to Other Math Sites: Probability

4.3 Applications of Slope

4.4 Equations of Lines

4.5 Graphs of Linear Inequalities

Chapter Project: Bald Eagle Populations

**5. Systems of Linear Equations**

5.1 The Graphing and Substitution Methods

5.2 The Addition Method

5.3 Systems of Equations in Three Variables

Links to Other Math Sites: Combined Probability

5.4 Matrices

5.5 Applications

5.6 Systems of Linear Inequalities

Chapter Project: Office Communications

3-5 Cumulative Test

**6. Exponents and Polynomials**

6.1 Properties of Exponents

6.2 Zero and Negative Exponents

6.3 Scientific Notation

Links to Other Math Sites: Organization of Data

6.4 Polynomials

6.5 Multiplication and Special Products

Chapter Project: NASA Facts

**7. Factoring**

7.1 Common Factors and Grouping

7.2 Special Factoring

7.3 Factoring Trinomials of the form *ax2* + *bx* +* c*

Links to Other Math Sites: Central Tendency

7.4 Solving Equations by Factoring

7.5 Division

7.6 The Remainder and Factor Theorems

Chapter Project: Foreign Currency Exchange

**8. Rational Expressions**

8.1 Introduction to Rational Expressions

8.2 Multiplication and Division

8.3 Addition and Subtraction

Links to Other Math Sites: Quartiles

8.4 Complex Fractions

8.5 Equations with Rational Expressions

8.6 Applications

Chapter Project: Major League Salaries

6-8 Cumulative Test

**9. Radical Expressions**

9.1 Radicals

9.2 Rational Exponents

9.3 Properties of Rational Exponents

9.4 The Product Rule for Radicals

Links to Other Math Sites: Dispersion

9.5 The Quotient Rule for Radicals

9.6 Operations with Radicals

9.7 Equations with Radicals and Exponents

9.8 Complex Numbers

Chapter Project: Visitors to National Parks and Monuments

**10. Quadratic Equations**

10.1 Special Methods

10.2 Completing the Square

10.3 The Quadratic Formula

10.4 Equations in Quadratic Form

10.5 Applications

10.6 Quadratic Inequalities

10.7 Higher Degree and Rational Inequalities

Links to Other Math Sites: Correlation

10.8 Quadratic Functions

Chapter Project: Heart Attack Risks

**11. Exponential and Logarithmic Functions**

11.1 Algebra of Functions

11.2 Inverse Functions

11.3 Exponential Functions

Links to Other Math Sites: Bell Curve

11.4 Logarithmic Functions

11.5 Properties of Logarithms

11.6 Logarithmic and Exponential Equations

Chapter Project: Telecommuting

9-11 Cumulative Test

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