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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.
Table of Contents
1.1 Place Value and Rounding
1.2 Introduction to Integers
1.3 Adding Integers
1.4 Subtracting Integers
1.5 Estimating a Sum or a Difference
1.6 Multiplying Integers and Estimation
1.7 Dividing Integers and Estimation PIAT
1.8 Exponents and Order of Operations
2.1 Introduction to Variables
2.2 Simplifying Expressions
2.3 Solving Equations Using the Addition Property of Equality
2.4 Solving Equations Using the Division Property of Equality
2.5 More on Solving Equations
2.6 Applications Involving One Unknown
2.7 Applications Involving Two Unknowns
3.1 Introduction to Signed Fractions
3.2 Writing Fractions in Lowest Terms
3.3 Multiplying and Dividing Signed Fractions
3.4 Adding and Subtracting Like Fractions and Finding a Least Common Denominator
3.5 Adding and Subtracting Unlike Fractions
3.6 Operations with Mixed Numbers PIAT
3.7 Order Relations and Order of Operations
3.8 Solving Equations Containing Fractions
4.1 Introduction to Geometry
4.2 Rectangles, Squares, Parallelograms, and Trapezoids
4.3 Triangles
4.4 Volume and Surface Area PIAT
4.5 Solving Geometry Applications Using Algebra
5.1 Reading and Writing Decimals
5.2 Rounding Decimals
5.3 Adding and Subtracting Signed Decimals
5.4 Multiplying Signed Decimals
5.5 Dividing Signed Decimals and Order of Operations PIAT
5.6 Writing Fractions as Decimals
5.7 Mean, Median, and Mode
5.8 Solving Equations Containing Decimals
5.9 Square Roots and the Pythagorean Theorem
5.1 Circles, Spheres, Cylinders, and Cones
6.1 Ratios
6.2 Rates
6.3 Proportions
6.4 Solve Applied Problems Involving Proportions
6.5 Angles
6.6 Solve Applied Problems Involving Congruent and Similar Triangles
7.1 Conversions Within the U.S. Measurement System
7.2 The Metric System: Length
7.3 The Metric System: Capacity and Weight (Mass)
7.4 Solving Applied Problems Involving Metric Units
7.5 Metric - U.S. Customary Conversions and Temperature
8.1 Percents, Fractions, and Decimals
8.2 Compute Basic Percents Mentally
8.3 Use an Equation to Solve Percent Problems
8.4 Solve Applications Involving Percents PIAT
8.5 More Applications with Percents
8.6 Simple and Compound Interest
9.1 Reading Tables, Pictographs, Bar Graphs, and Line Graphs
9.2 Frequency Distributions and Histograms
9.3 Using and Making Circle Graphs
Cumulative Review for Chapters 1-9
10.1 Real Numbers
10.2 More on Solving Linear Equations
10.3 Formulas and Solving for a Specific Variable
10.4 Solving Linear Inequalities in One Variable
11.1 Introduction to Linear Equations in Two Variables
11.2 Graphing by Plotting Points and Finding Intercepts
11.3 The Slope of a Line
11.4 The Slope-Intercept Form of a Line
11.5 Writing an Equation of a Line
12.1 Solving Systems by Graphing
12.2 Solving Systems by Substitution
12.3 Solving Systems by the Elimination Method PIAT
12.4 Applications of Systems of Equations
12.5 Linear Inequalities in Two Variables
13.1 The Product Rule and Power Rules
13.2 Integer Exponents
13.3 The Quotient Rule PIAT
13.4 Scientific Notation
13.5 Addition and Subtraction of Polynomials
13.6 Multiplication of Polynomials
13.7 Dividing a Polynomial by a Monomial
13.8 Dividing a Polynomial by a Polynomial
14.1 The Greatest Common Factor and Factoring by Grouping
14.2 Factoring Trinomials of the Form x^2 + bx + c
14.3 Factoring Trinomials of the Form ax^2 + bx + c (a not 1)
14.4 Factoring Special Trinomials and Binomials PIAT
14.5 Solving Quadratic Equations by Factoring
14.6 Applications of Quadratic Equations
15.1 Simplifying Rational Expressions
15.2 Multiplying and Dividing Rational Expressions
15.3 Finding the Least Common Denominator
15.4 Adding and Subtracting Rational Expressions PIAT
15.5 Simplifying Complex Fractions
15.6 Solving Rational Equations
15.7 Applications of Rational Equations and Variation
16.1 Finding Roots
16.2 Simplifying Radicals: The Product and Quotient Rules
16.3 Adding and Subtracting Radicals
16.4 Combining Operations on Radicals
16.5 Dividing Radicals
16.6 Solving Radical Equations
17.1 Solving Quadratic Equations Using the Square Root Property
17.2 Solving Quadratic Equations by Completing the Square
17.3 Solving Quadratic Equations Using the Quadratic Formula PIAT
17.4 Graphs of Quadratic Equations
17.5 Introduction to Functions
A.1 Adding Whole Numbers
A.2 Subtracting Whole Numbers
A.3 Multiplying Whole Numbers
A.4 Introduction to Division and Short Division
A.5 Long Division
B.1 Sets of Numbers
B.2 Graphing Inequalities
B.3 Deriving the Area of a Parallelogram and the Area of a Trapezoid
B.4 Inductive and Deductive Reasoning
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