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# Prealgebra and Introductory Algebra with P.O.W.E.R. Learning

## bySherri Messersmith, Lawrence Perez, Robert S Feldman

### Paperback | March 26, 2013

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$180.95

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### about

The P.O.W.E.R. Framework

**What makes P.O.W.E.R. a unique tool for the classroom?** A major challenge in developmental courses is that students at this level struggle with basic study skills and habits. Maybe this is one of their first college courses or perhaps they are adults returning to school after a long absence. Either way, many of the individuals taking this course don’t know how to be good students. Instructors often don’t have the time, the resources or the expertise to teach success skills AND the math concepts. The new team of Messersmith, Perez and Feldman offer a scientifically based approach to meet this challenge. The P.O.W.E.R. Learning Framework was developed by successful author, psychologist, student success instructor and researcher, Bob Feldman. It is a method of accomplishing any task using five simple and consistent steps. Prepare. Organize. Work. Evaluate. Rethink. This framework is integrated at every level of the text to help students successfully learn math concepts while at the same time developing habits that will serve them well throughout their college careers and in their daily lives.

The Math

**Making Connections** – Sherri Messersmith is recognized for preparing her students for success by refreshing their knowledge of arithmetic. By helping students see the connection between arithmetic and algebra, Sherri found that her students were more confident in their abilities as they progressed through the course. This classroom tested practice was integrated into the texts so that both instructors and students could benefit. Messersmith accomplishes this by including arithmetic examples for most sections before the use of algebraic examples. Also, the author has developed through classroom use a series of Basic Skills Worksheets that can easily be integrated into the classroom.

**Presenting Concepts in “Bite Size” Pieces** – By breaking down the sections into manageable pieces, the author has identified the core places where students traditionally struggle and then assists them in understanding that material to be successful moving forward. For details on how the author has done this, check out the TOCs for Intro Algebra, PreAlgebra, Intermediate Algebra and the combo book PreAlgebra and Introductory Algebra.

**Mastering Concepts**--With the textbook and Connect Math hosted by ALEKS, students can practice and master their understanding of algebraic concepts.Messersmith is rigorous enough to prepare students for the next level yet easy to read and understand. The exposition is written as if a professor is teaching in a lecture to be more accessible to students. The language is mathematically sound yet easy enough for students to understand.

### Details & Specs

The following ISBNs are associated with this title:

ISBN - 10:0073513008

ISBN - 13:9780073513003

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### Extra Content

Table of Contents

# Prealgebra and Introductory Algebra with POWER Learning

## Messersmith/Perez/Feldman

Table of Contents

### Chapter 1Operations with Integers

1.1Place Value and Rounding

1.2Introduction to Integers

1.3Adding Integers

1.4Subtracting Integers

1.5Estimating a Sum or a Difference

1.6Multiplying Integers and Estimation

1.7Dividing Integers and Estimation PIAT

1.8Exponents and Order of Operations

### Chapter 2Variables and Solving Equations

2.1Introduction to Variables

2.2Simplifying Expressions

2.3Solving Equations Using the Addition Property of Equality

2.4Solving Equations Using the Division Property of Equality

2.5More on Solving Equations

2.6Applications Involving One Unknown

2.7Applications Involving Two Unknowns

### Chapter 3Operations with Signed Fractions

3.1Introduction to Signed Fractions

3.2Writing Fractions in Lowest Terms

3.3Multiplying and Dividing Signed Fractions

3.4Adding and Subtracting Like Fractions and Finding a Least Common Denominator

3.5Adding and Subtracting Unlike Fractions

3.6Operations with Mixed Numbers PIAT

3.7Order Relations and Order of Operations

3.8Solving Equations Containing Fractions

### Chapter 4Basic Geometry Concepts

4.1Introduction to Geometry

4.2Rectangles, Squares, Parallelograms, and Trapezoids

4.3Triangles

4.4Volume and Surface AreaPIAT

4.5Solving Geometry Applications Using Algebra

### Chapter 5Signed Decimals

5.1Reading and Writing Decimals

5.2Rounding Decimals

5.3Adding and Subtracting Signed Decimals

5.4Multiplying Signed Decimals

5.5Dividing Signed Decimals and Order of Operations PIAT

5.6Writing Fractions as Decimals

5.7Mean, Median, and Mode

5.8Solving Equations Containing Decimals

5.9Square Roots and the Pythagorean Theorem

5.1Circles, Spheres, Cylinders, and Cones

### Chapter 6Ratios and Proportions

6.1Ratios

6.2Rates

6.3Proportions

6.4Solve Applied Problems Involving Proportions

6.5Angles

6.6Solve Applied Problems Involving Congruent and Similar Triangles

### Chapter 7Measurement and Conversion

7.1Conversions Within the U.S. Measurement System

7.2The Metric System: Length

7.3The Metric System: Capacity and Weight (Mass)

7.4Solving Applied Problems Involving Metric Units

7.5Metric - U.S. Customary Conversions and Temperature

### Chapter 8Percents

8.1Percents, Fractions, and Decimals

8.2Compute Basic Percents Mentally

8.3Use an Equation to Solve Percent Problems

8.4Solve Applications Involving PercentsPIAT

8.5More Applications with Percents

8.6Simple and Compound Interest

### Chapter 9Graphs

9.1Reading Tables, Pictographs, Bar Graphs, and Line Graphs

9.2Frequency Distributions and Histograms

9.3Using and Making Circle Graphs

Cumulative Review for Chapters 1-9

### Chapter 10Real Numbers, Equations, and Inequalities

10.1Real Numbers

10.2More on Solving Linear Equations

10.3Formulas and Solving for a Specific Variable

10.4Solving Linear Inequalities in One Variable

### Chapter 11Linear Equations in Two Variables

11.1Introduction to Linear Equations in Two Variables

11.2Graphing by Plotting Points and Finding Intercepts

11.3The Slope of a Line

11.4The Slope-Intercept Form of a Line

11.5Writing an Equation of a Line

### Chapter 12Solving Systems of Linear Equations

12.1Solving Systems by Graphing

12.2Solving Systems by Substitution

12.3Solving Systems by the Elimination MethodPIAT

12.4Applications of Systems of Equations

12.5Linear Inequalities in Two Variables

### Chapter 13The Rules of Exponents and Polynomials

13.1The Product Rule and Power Rules

13.2Integer Exponents

13.3The Quotient RulePIAT

13.4Scientific Notation

13.5Addition and Subtraction of Polynomials

13.6Multiplication of Polynomials

13.7Dividing a Polynomial by a Monomial

13.8Dividing a Polynomial by a Polynomial

### Chapter 14Factoring Polynomials

14.1The Greatest Common Factor and Factoring by Grouping

14.2Factoring Trinomials of the Form x^2 + bx + c

14.3Factoring Trinomials of the Form ax^2 + bx + c (a not 1)

14.4Factoring Special Trinomials and BinomialsPIAT

14.5Solving Quadratic Equations by Factoring

14.6Applications of Quadratic Equations

### Chapter 15Rational Expressions

15.1Simplifying Rational Expressions

15.2Multiplying and Dividing Rational Expressions

15.3Finding the Least Common Denominator

15.4Adding and Subtracting Rational ExpressionsPIAT

15.5Simplifying Complex Fractions

15.6Solving Rational Equations

15.7Applications of Rational Equations and Variation

### Chapter 16Roots and Radicals

16.1Finding Roots

16.2Simplifying Radicals: The Product and Quotient Rules

16.3Adding and Subtracting Radicals

16.4Combining Operations on Radicals

16.5Dividing Radicals

16.6Solving Radical Equations

### Chapter 17Quadratic Equations

17.1Solving Quadratic Equations Using the Square Root Property

17.2Solving Quadratic Equations by Completing the Square

17.3Solving Quadratic Equations Using the Quadratic FormulaPIAT

17.4Graphs of Quadratic Equations

17.5Introduction to Functions

### Appendix

A.1Adding Whole Numbers

A.2Subtracting Whole Numbers

A.3Multiplying Whole Numbers

A.4Introduction to Division and Short Division

A.5Long Division

B.1Sets of Numbers

B.2Graphing Inequalities

B.3Deriving the Area of a Parallelogram and the Area of a Trapezoid

B.4Inductive and Deductive Reasoning