Elementary Algebra
Graphs and Authentic Applications
Published on 28. February 2007
Book
Hardback
672 pages
978-0-13-220164-3 (ISBN)
Description
Jay Lehmann is passionate about answering the question so many math instructors hear their students ask: But what is this good for? He discovered that a curve fitting approach could enable students to see how math is used in all walks of life with current, compelling, and authentic situations. In addition to curve fitting, Lehmann's approach includes other types of meaningful modeling, directed-discovery explorations, conceptual questions, labs, and of course, a large bank of skill problems. The curve fitting applications serve as a portal for students to see the usefulness of mathematics so that they become fully engaged in the class. Once involved, they are more receptive to all aspects of the course.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 276 mm
Width: 210 mm
ISBN-13
978-0-13-220164-3 (9780132201643)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Book
02/2014
2nd Edition
Pearson
€211.68
Shipment within 10-20 days
Content
Note: Each chapter concludes with Chapter Summary, Key Points of the Chapter, Chapter Review Exercises, and Chapter Practice Tests.
Chapter 1: Introduction to Modeling
1.1 Variables and Constants
1.2 Scattergrams
1.3 Exact Linear Relationships
1.4 Approximate Linear Relationships
Chapter 2: Operations and Expressions
2.1 Expressions
2.2 Operations with Fractions
2.3 Adding Real Numbers
2.4 Change in a Quantity and Subtracting Real Numbers
2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers
2.6 Exponents and Order of Operations
Chapter 3: Using Slope to Graph Linear Equations
3.1 Graphing Equations of the Form y = mx + b
3.2 Graphing Linear Models; Unit Analysis
3.3 Slope of a Line
3.4 Using Slope to Graph Lines
3.5 Rate of Change
Chapter 4: Simplifying Expressions and Solving Equations
4.1 Commutative, Associative, and Distributive Laws
4.2 Simplifying Expressions
4.3 Solving Linear Equations in One Variable
4.4 solving More Linear Equations in One Variable
4.5 comparing Expressions and Equations
4.6 Formulas
Chapter 5: Linear Equations in Two Variables
5.1 Graphing Linear Equations
5.2 Finding Linear Equations
5.3 Finding Equations of Linear Models
5.4 using Linear Equations to make Estimates and Predications
5.5 Solving Linear Inequalities in One Variable
Chapter 6: Systems of Linear Equations
6.1 Using Graphs and Tables to Solve Systems
6.2 Using Substitution to Solve Systems
6.3 Using Elimination to Solve Systems
6.4 Using Systems to Model Data
6.5 Perimeter, Value, Interest, and Mixture Problems
6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in 2 Variables
Chapter 7: Polynomials
7.1 Graphing Quadratic Equations
7.2 Quadratic Models
7.3 Adding and Subtracting Polynomials
7.4 Multiplying Polynomials
7.5 Powers of Polynomials; Product of Binomial Conjugates
7.6 Properties of Exponents
7.7 Negative Exponents
Chapter 8: Factoring Polynomials and Solving Polynomial Equations
8.1 Factoring Trinomials of the Form x (2) + bx + c and Differences of Two Squares
8.2 Factoring Out the GCF; Factoring by Grouping
8.3 Factoring Trinomials of the Form ax (2) + bx + c
8.4 Sums and Differences of Cubes; A Factoring Strategy
8.5 Solving Polynomial Equations
8.6 Using Factoring to Make Predications with Quadratic Models
Chapter 9: Solving Quadratic Equations
9.1 Simplifying Radical Expressions
9.2 Simplifying More Radical Expressions
9.3 Solving Quadratic Equations by the Square Root Property; Pythagorean Theorem
9.4 Solving Quadratic Equations by Completing the Square
9.5 Solving Quadratic Equations by the Quadratic Formula
9.6 More Quadratic Models
Chapter 10: Rational Expressions and Equations
10.1 Simplifying Rational Expressions
10.2 Multiplying and Dividing Rational Expressions
10.3 Adding Rational Expressions
10.4 Subtracting Rational Expressions
10.5 Solving Radical Equations
10.6 Proportions; Similar Triangles
10.7 Variation
10.8 Simplifying Complex Rational Expressions
Chapter 11: More Radical Expressions and Equations
11.1 Adding and Subtracting Radical Expressions
11.2 Multiplying Radical Expressions
11.3 Solving Square Root Equations
Appendix A: Using a TI-83 or TI-84 Graphing Calculator
A.1 Turing a Graphing Calculator On or Off
A.2 making the Screen Lighter or Darker
A.3 Entering an Equation
A.4 Graphing an Equation
A.5 Tracing A Curve with out a Scattergram
A.6 Zooming
A.7 Setting the Window Format
A.8 Plotting Points in a Scattergram
A.9 Tracing A Scattergram
A.10 Graphing Equations with a Scattergram
A.11 Tracing a Curve with a Scattergram
A.12 Turning a Plotter on or off
A.13 Creating a Table
A.14 Creating a Table for Two Equations
A.15 Using "Ask" in a Table
A.16 Plotting Points on Two Scatter Grams
A.17 Finding the Intersection Point(s) of Two Curves
A.18 Finding the Minimum or Maximum of a Curve
A.19 Finding any x-Intercepts of a Curve
A.20 Turing an Equation On or Off
A.21 Finding Coordinates of Points
A.22 Entering an Equation by Using Yn References
A.23 Responding to Error Messages
Answers to Odd-Numbered Exercises
Chapter 1: Introduction to Modeling
1.1 Variables and Constants
1.2 Scattergrams
1.3 Exact Linear Relationships
1.4 Approximate Linear Relationships
Chapter 2: Operations and Expressions
2.1 Expressions
2.2 Operations with Fractions
2.3 Adding Real Numbers
2.4 Change in a Quantity and Subtracting Real Numbers
2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers
2.6 Exponents and Order of Operations
Chapter 3: Using Slope to Graph Linear Equations
3.1 Graphing Equations of the Form y = mx + b
3.2 Graphing Linear Models; Unit Analysis
3.3 Slope of a Line
3.4 Using Slope to Graph Lines
3.5 Rate of Change
Chapter 4: Simplifying Expressions and Solving Equations
4.1 Commutative, Associative, and Distributive Laws
4.2 Simplifying Expressions
4.3 Solving Linear Equations in One Variable
4.4 solving More Linear Equations in One Variable
4.5 comparing Expressions and Equations
4.6 Formulas
Chapter 5: Linear Equations in Two Variables
5.1 Graphing Linear Equations
5.2 Finding Linear Equations
5.3 Finding Equations of Linear Models
5.4 using Linear Equations to make Estimates and Predications
5.5 Solving Linear Inequalities in One Variable
Chapter 6: Systems of Linear Equations
6.1 Using Graphs and Tables to Solve Systems
6.2 Using Substitution to Solve Systems
6.3 Using Elimination to Solve Systems
6.4 Using Systems to Model Data
6.5 Perimeter, Value, Interest, and Mixture Problems
6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in 2 Variables
Chapter 7: Polynomials
7.1 Graphing Quadratic Equations
7.2 Quadratic Models
7.3 Adding and Subtracting Polynomials
7.4 Multiplying Polynomials
7.5 Powers of Polynomials; Product of Binomial Conjugates
7.6 Properties of Exponents
7.7 Negative Exponents
Chapter 8: Factoring Polynomials and Solving Polynomial Equations
8.1 Factoring Trinomials of the Form x (2) + bx + c and Differences of Two Squares
8.2 Factoring Out the GCF; Factoring by Grouping
8.3 Factoring Trinomials of the Form ax (2) + bx + c
8.4 Sums and Differences of Cubes; A Factoring Strategy
8.5 Solving Polynomial Equations
8.6 Using Factoring to Make Predications with Quadratic Models
Chapter 9: Solving Quadratic Equations
9.1 Simplifying Radical Expressions
9.2 Simplifying More Radical Expressions
9.3 Solving Quadratic Equations by the Square Root Property; Pythagorean Theorem
9.4 Solving Quadratic Equations by Completing the Square
9.5 Solving Quadratic Equations by the Quadratic Formula
9.6 More Quadratic Models
Chapter 10: Rational Expressions and Equations
10.1 Simplifying Rational Expressions
10.2 Multiplying and Dividing Rational Expressions
10.3 Adding Rational Expressions
10.4 Subtracting Rational Expressions
10.5 Solving Radical Equations
10.6 Proportions; Similar Triangles
10.7 Variation
10.8 Simplifying Complex Rational Expressions
Chapter 11: More Radical Expressions and Equations
11.1 Adding and Subtracting Radical Expressions
11.2 Multiplying Radical Expressions
11.3 Solving Square Root Equations
Appendix A: Using a TI-83 or TI-84 Graphing Calculator
A.1 Turing a Graphing Calculator On or Off
A.2 making the Screen Lighter or Darker
A.3 Entering an Equation
A.4 Graphing an Equation
A.5 Tracing A Curve with out a Scattergram
A.6 Zooming
A.7 Setting the Window Format
A.8 Plotting Points in a Scattergram
A.9 Tracing A Scattergram
A.10 Graphing Equations with a Scattergram
A.11 Tracing a Curve with a Scattergram
A.12 Turning a Plotter on or off
A.13 Creating a Table
A.14 Creating a Table for Two Equations
A.15 Using "Ask" in a Table
A.16 Plotting Points on Two Scatter Grams
A.17 Finding the Intersection Point(s) of Two Curves
A.18 Finding the Minimum or Maximum of a Curve
A.19 Finding any x-Intercepts of a Curve
A.20 Turing an Equation On or Off
A.21 Finding Coordinates of Points
A.22 Entering an Equation by Using Yn References
A.23 Responding to Error Messages
Answers to Odd-Numbered Exercises