Beginning algebra : building a foundation
著者
書誌事項
Beginning algebra : building a foundation
Pearson/Addison-Wesley, c2008
Preliminary ed
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内容説明・目次
内容説明
McKenna/Kirk's Beginning Algebra, Preliminary Edition, strives to teach math with language that students can understand, while focusing on problem solving, vocabulary, and how topics relate within algebra and the world around them.
Building a Foundation: the authors focus on building a strong foundation in algebra through the use of a friendly, conversational writing style, while helping students improve their problem-solving skills, mathematical vocabulary, and mastery of mathematical concepts.
Expanding on the Foundation - To help students relate to the material, the authors use real-world applications that are tied to the chapter theme. This theme gives students a common thread to relate the material to as they progress through each chapter. McKenna/Kirk carefully guides readers through an intuitive problem-solving approach called the 4 P's-Prepare, Plan, Process, and Ponder-that teaches students to solve application problems, including the chapter theme applications, in a logical, step-by-step manner. The authors address students' lack of mathematic vocabulary by introducing terminology gradually and using it consistently throughout the text. Chapter features such as Recall and Looking Ahead help students connect important concepts by highlighting previously learned material and previewing topics to come.
目次
1. Patterns and Review of Real Numbers
1.1 Problem Solving and Finding Patterns
1.2 Sets, Symbols, and Real Numbers
1.3 Review of Fractions
1.4 Addition and Subtraction of Real Numbers
1.5 Multiplication, Division and Properties of Real Numbers
1.6 Exponents, Order of Operations and Algebraic Expressions
1.7 Reading and Interpreting Graphs and the Coordinate Plane
Chapter 1 Summary
Chapter 1 Review Problem Set
Chapter 1 Test
2. Equations and Inequalities in One Variable and Applications
2.1 Properties of Equality and Linear Equations
2.2 Linear Equations Involving Grouping Symbols and Fractions
2.3 Literal Equations and Applications
2.4 Linear Inequalities
2.5 Compound and Double Inequalities
2.6 Additional Applications
Chapter 2 Summary
Chapter 2 Review Problem Set
Chapter 2 Test
3. Linear Equations, Slope, Inequalities, and Introduction to Functions
3.1 Linear Equations in Two Variables
3.2 The Intercept Method
3.3 The Slope and y-Intercept Method
3.4 Determining the Equation of a Line, Parallel Lines, and Perpendicular Lines
3.5 Graphing Linear Inequalities in Two Variables
3.6 Introduction to Functions
Chapter 3 Summary
Chapter 3 Review Problem Set
Chapter 3 Test
Cumulative Review Chapters 1 - 3
4. Exponents, Polynomials, and Applications
4.1 Integer Exponents
4.2 Scientific Notation and Applications
4.3 Introduction to Polynomials and Polynomial Functions
4.4 Multiplying Polynomials
4.5 Special Products
4.6 Dividing Polynomials
Chapter 4 Summary
Chapter 4 Review Problem Set
Chapter 4 Test
5. Factoring Polynomials
5.1 Introduction to Factoring
5.2 Factoring Special Forms of Binomials
5.3 Factoring Trinomials of the Form
5.4 Factoring Trinomials of the Form , with A = 1 and Perfect-Square Trinomials
5.5 The General Factoring Strategy
5.6 Applications Using the Zero Factor Property
Chapter 5 Summary
Chapter 5 Review Problem Set
Chapter 5 Test
6. Rational Expressions
6.1 Simplifying Rational Expressions
6.2 Multiplication and Division of Rational Expressions
6.3 Addition and Subtraction of Rational Expressions
6.4 Complex Fractions
6.5 Rational Functions and Solving Equations Containing Rational Expressions
6.6 Applications
Chapter 6 Summary
Chapter 6 Review Problem Set
Chapter 6 Test
Cumulative Review Chapters 4 - 6
7. Systems of Equations
7.1 The Graphing Method
7.2 The Substitution Method
7.3 The Elimination Method
7.4 Applications
7.5 Systems of Linear Inequalities
Chapter 7 Summary
Chapter 7 Review Problem Set
Chapter 7 Test
8. Roots and Radicals
8.1 Simplifying, Adding, and Subtracting Square Roots
8.2 Multiplying and Dividing Square Roots
8.3 Solving Equations Containing Square Roots
8.4 Applications
8.5 Higher Roots and Rational Exponents
Chapter 8 Summary
Chapter 8 Review Problem Set
Chapter 8 Test
9. Quadratic Equations
9.1 The Square Root Property
9.2 Completing the Square
9.3 The Quadratic Formula
9.4 Complex Numbers
9.5 Graphing Quadratic Functions
Chapter 9 Summary
Chapter 9 Review Problem Set
Chapter 9 Test
Cumulative Review Chapters 7 - 9
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