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Pearson Education  | ©2010
Pearson  | Access Code Card  | ISBN-13: 9780321757371
What’s Your Style?
The new Carson All in One, Developmental Mathematics: Prealgebra, Elementary Algebra, & Intermediate Algebra, offers everything needed to teach the full developmental math sequence in one flexible course solution.True to the Carson approach, it guides students to success by presenting the why behind understanding algebra, and includes the complete Carson Math Study System with a Learning Styles Inventory to address individual learning styles. The authors speak to students in everyday language and walk them through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work, to foster conceptual understanding.
Teaching and Learning Experience
This program will provide a better teaching and learning experience for you and your students. Here’s how:
- Improve Results: MyMathLab® delivers improving results in helping students succeed and provides engaging experiences with personalized learning.
- Support all learning styles and promote good study skills: the complete Carson Math Study System with Learning Styles Inventory guides students to success in the course.
- Proven pedagogy explains the why behind algebra: in everyday language the program walks students through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work.
- Provide an All in One Solution with Print Support:The course is a complete All in One MyMathLab solution with everything needed for Prealgebra, Elementary Algebra, and Intermediate Algebra. Additionally, the MyWorkBook is available for additional learning support and a printed version of the text can be ordered via Pearson Learning Solutions.
Improve Results: MyMathLab delivers improving results in helping students succeed and provides engaging experiences with personalized learning.
- Two MyMathLab® course options are available:
- Standard MyMathLab courses allow instructors to build their course their way, offering maximum flexibility and control over all aspects of assignment creation.
- Ready to Go courses provide students with all the same great MyMathLab features, but also make it easier for instructors to get started.
- Both Carson course options include one premade pre-test and post-test for every chapter, section-level homework, and a chapter review quiz linked to personalized homework. Assignments are also pre-assigned in the Ready to Go courses.
- Additional MyMathLab features include:
- The Learning Styles Inventory is an interactive version of the questionnaire in the textbook, allowing students to assess their learning styles to take full advantage of the book’s learning features.
- Section Lecture Videos are available for every section. They offer a navigation menu by objective, can be played on mobile devices, and include closed captioning.
- Chapter Test Prep Videos contain step-by-step video solutions to every exercise in the end of chapter Practice Tests. An instructor walks students through each problem, allowing students to pause and rewind as needed so they can study at their own pace. Chapter Test Prep Videos are available in MyMathLab, and on YouTube™ (search using author name and book title). Videos include closed captioning.
- MyWorkBook is an objective-based workbook (available in print and in MyMathLab) that includes the following resources for each section of the text:
- Key vocabulary terms and practice problems
- Guided Examples with stepped-out solutions and similar Practice Exercises, keyed to the text by Learning Objective
- References to textbook Examples and Section Lecture Videos for additional help
- Additional Exercises with ample space for students to show their work, keyed to the text by Learning Objective
- Student Success Module in MyMathLab: This interactive module is available in the left-hand navigation of MyMathLab and includes videos, activities, and post-tests for these three student success areas:
- Math-Reading Connections, including topics such as Using Word Clues, and Looking for Patterns.
- Study Skills, including topics such as Time Management and Preparing For and Taking Exams.
- College Success, including topics such as College Transition and Online Learning.
- Instructors can assign these videos and activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem appropriate.
- Accessibility Enhancements continue Pearson’s commitment to make products accessible to as many students as possible. This latest course release is compatible with the JAWS screen reader enabling print-disabled students to access and interact with numerous problems as noted by an icon within the assignment manager. The course also works with the ZoomText enlarger, and includes an HTML eBook that is compatible with JAWS and other Windows screen readers allowing all students to access the same text, at the same place, and at the same price. Additionally all videos include closed captioning.
Support all learning styles and promote good study skills–the complete Carson Math Study System is designed to help students develop the skills (e.g. time management, test-prep, note-taking) that students need to succeed in math, their careers, and life.
- The Carson Math Study System is presented at the start of the textbook and MyMathLab Course, and includes:
- A To the Student section that focuses on why math is important and what students need to do to succeed in their math courses.
- A Learning Styles Inventory helps students assess their particular style of learning, and use that knowledge to identify study skills that will help them. Once students determine their Learning Style, Learning Strategy boxes, at point-of-use throughout the text, offer tactile, visual, and auditory learners study strategies targeted to their style.
- The Math Study System offers students abundant suggestions for developing a class notebook to reflect their personal learning styles, taking effective notes, doing homework, and reviewing for quizzes and tests.
- Learning Strategy boxes written by successful students and recent college graduates offer advice on implementing the study system effectively based on a students’ learning style.
Proven pedagogy explains the why behind algebra: in everyday language the program walks students through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work.
- Carefully developed learning aids give landmarks and guidance at key stages in the chapter, helping students understand the material and see how it all fits together.
- The Algebra Pyramid is used as an underlying theme throughout the text to illustrate how each topic relates to the big picture of algebra.
- The chapter openers provide a brief topical overview of the chapter. In the instructor’s edition, each opener now includes teaching suggestions for the chapter.
- Connection boxes are designed to bridge the concepts presented throughout the text so students understand how they build on each other.
- Real, relevant, and interesting applications in the examples and exercises illustrate the everyday use of basic algebraic concepts by reflecting real situations in science, engineering, health, finance, the arts, and other areas.
- Your Turn practice exercises (found after most examples) give students the opportunity to work problems similar to the examples they have just seen.
- Of Interest boxes, with historical notes and fun facts, are designed to enhance the learning process by making math concepts interesting and memorable.
- Varied exercises give students the practice they need to master skills and concepts.
- Warm-up exercises (which begin each section) review previously learned material helpful to understanding the concepts in the section.
- Prep exercises help students focus on the terminology, rules, and processes corresponding to the exercises that immediately follow.
- Section exercises are grouped by objective to make it easier for students to connect examples with related exercises. They are also carefully graded to allow students to build confidence in their problem-solving skills as they work through the homework.
- Review exercises at the end of each exercise set cover previously learned concepts not only to keep the material fresh for students, but also to serve as a foundational review for the discussion in the next section.
- Puzzle Problems appear at the end of selected exercise sets to encourage creative and critical thinking. These problems often have no formulaic approach to finding a solution.
- End-of-chapter material is designed to help students review effectively, and includes:
- The Chapter Summary and Review is interactive, with Review Exercises integrated within the Summary to encourage active learning and review.
- Defined terms referenced by section and page number.
- Summary of key concepts and examples presented in an easy-to-study, two-column format.
- Review exercises covering all key concepts.
- Practice Tests with problems that correlate to the short-answer tests in the Printable Test Bank, and the Chapter Test Prep Videos.
PROVIDE AN ALL IN ONE SOLUTION WITH PRINT SUPPORT
This All-in-One Developmental Mathematics has everything for Prealgebra, Elementary Algebra, and Intermediate Algebra in one easy-to-use solution. In addition to a full eText in MyMathLab, two printed options are available to provide additional support.
- MyWorkBook is available in print and in MyMathLab, and can be packaged with a text or MyMathLab code.
- A complete eText, is included in the MyMathLab course. Instructors who want to provide a printed book for their students can order this through Pearson Learning Solutions.
Table of Contents
1. Whole Numbers
1.1 Introduction to Numbers, Notation, and Rounding
1.2 Adding and Subtracting Whole Numbers; Exponents
1.3 Multiplying Whole Numbers; Solving Equations
1.4 Dividing Whole Numbers; Solving Equations
1.5 Order of Operations; Mean, Median, and Mode
1.6 More with Formulas
2.1 Introduction to Integers
2.2 Adding Integers
2.3. Subtracting Integers and Solving Equations
2.4 Multiplying and Dividing Integers; Exponents; Square Roots; Solving Equations
2.5 Order of Operations
2.6 Additional Applications and Problem Solving
3. Expressions and Equations
3.1 Translating and Evaluating Expressions
3.2 The Distributive Property; Combining Like Terms
3.3 Equations and their Solutions
3.4 The Addition Principle of Equality
3.5 The Multiplication Principle of Equality
3.6 Translating Word Sentences of Equations
4. Multiplying and Dividing Fractions
4.1 Prime Numbers and GCF
4.2 Introduction to Fractions
4.3 Simplifying Fractions
4.4 Multiplying Fractions and Mixed Numbers
4.5 Dividing Fractions and Mixed Numbers
5. Adding and Subtracting Fractions
5.1 Least Common Multiple
5.2 Adding and Subtracting Fractions and Mixed Numbers
5.3 Order of Operations; Evaluating and Simplifying Expressions
5.4 Solving Equations
6.1 Introduction to Decimal Numbers
6.2 Adding and Subtracting Decimal Numbers
6.3 Multiplying Decimal Numbers; Exponents with Decimal Bases
6.4 Dividing Decimal Numbers; Square Roots with Decimals
6.5 Order of Operations and Applications in Geometry
6.6 Solving Equations and Problem Solving
6.7 Points, Lines, and Angles
7. Ratios, Proportions and Measurement
7.1 Ratios, Probability, and Rates
7.3 American Measurement; Time
7.4 Metric Measurement
7.5 Converting between Systems; Temperature
7.6 Applications and Problem Solving
8.1 Introduction to Percent
8.2 Solving Basic Percent Sentences
8.3 Solving Percent Problems (Proportions)
8.4 Solving Problems Involving Percent of Increase or Decrease
8.5 Solving Problems Involving Interest
9. Linear Equations and Inequalities in One Variable
9.1 Linear Equations and Formulas
9.2 Solving Problems
9.3 Solving Linear Inequalities
9.4 Compound Inequalities
9.5 Equations Involving Absolute Value
9.6 Inequalities Involving Absolute Value
10. Graphing Linear Equations and Inequalities
10.1 The Rectangular Coordinate System
10.2 Graphing Linear Equations
10.3 Graphing Using Intercepts
10.4 Slope-Intercept Form
10.5 Point-Slope Form
10.6 Graphing Linear Inequalities
10.7 Introduction to Functions and Function Notation
11. Systems of Linear Equations and Inequalities
11.1 Solving Systems of Linear Equations Graphically
11.2 Solving Systems of Linear Equations by Substitution; Application
11.3 Solving Systems of Linear Equations by Elimination; Applications
11.4 Solving Systems of Linear Equations in Three Variables; Applications
11.5 Solving Systems of Linear Equations Using Matrices
11.6 Solving Systems of Linear Inequalities
12.1 Exponents and Scientific Notations
12.2 Introduction to Polynomials
12.3 Adding and Subtracting Polynomials
12.4 Exponent Rules and Multiplying Monomials
12.5 Multiplying Polynomials; Special Products
12.6 Exponent Rules and Dividing Polynomials
13.1 Greatest Common Factor and Factoring by Grouping
13.2 Factoring Trinomials of the form x2+bx+c
13.3 Factoring Trinomials of the form ax2+bx+c, where a≠1
13.4 Factoring Special Products
13.5 Strategies for Factoring
13.6 Solving Quadratic Equations by Factoring
13.7 Graphs of Quadratic Equations and Functions
14. Rational Expressions and Equations
14.1 Simplifying Rational Expressions
14.2 Multiplying and Dividing Rational Expressions
14.3 Adding and Subtracting Rational Expressions with the Same Denominator
14.4 Adding and Subtracting Rational Expressions with Different Denominators
14.5 Complex Rational Expressions
14.6 Solving Equations Containing Rational Expressions
14.7 Applications with Rational Expressions, Including Variation
15. Rational Exponents, Radicals, and Complex Numbers
15.1 Radical Expressions and Functions
15.2 Rational Exponents
15.3 Multiplying, Dividing, and Simplifying Radicals
15.4 Adding, Subtracting, and Multiplying Radical Expressions
15.5 Rationalizing Numerators and Denominators of Radical Expressions
15.6 Radical Equations and Problem Solving
15.7 Complex Numbers
16. Quadratic Equations and Functions
16.1 The Square Root Principle and Completing the Square
16.2 Solving Quadratic Equations using the Quadratic Formula
16.3 Solving Equations the are Quadratic in Form
16.4 Graphing Quadratic Functions
16.5 Solving Nonlinear Inequalities
16.6 Function Operations
17. Exponential and Logarithmic Functions
17.1 Composite and Inverse Functions
17.2 Exponential Functions
17.3 Logarithmic Functions
17.4 Properties of Logarithms
17.5 Common and Natural Logarithms
17.6 Exponential and Logarithmic Equations with Applications
18. Conic Sections
18.1 Parabolas and Circles
18.2 Ellipses and Hyperbolas
18.3 Nonlinear Systems of Equations
18.4 Nonlinear Inequalities and Systems of Inequalities
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