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ISBN: 9780321758699 | 0321758692

Edition: 1stFormat: Nonspecific Binding

Publisher: Pearson

Pub. Date: 5/15/2011

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John Squires and Karen Wyrick have used their successes in the classroom and the lab to design the MyMathLab for Developmental MathematicseCourse. This new MyMathLab eCourse offers students a guided learning path through content that has been organized into smaller, more manageable portions. This course structure includes pre-made tutorials and assessments for every topic in the course, giving instructors an eCourse that can be easily set up and customized for a variety of learning environments.

**John Squires** has been teaching math for over 20 years. He was the architect of the nationally acclaimed “Do the Math” program at Cleveland State Community College and is now head of the math department at Chattanooga State Community College, where he is implementing course redesign throughout the department. John is the 2010 Cross Scholar for the League for Innovation and the author of the 13th Cross Paper which focuses on course redesign. As a redesign scholar for The National Center for Academic Transformation (NCAT), John speaks frequently on course redesign and has worked with both colleges and high schools on using technology to improve student learning.

**Karen Wyrick** is the current chair of the math department at Cleveland State Community College and has been teaching math there for over 18 years. She is an outstanding instructor, as students have selected her as the college’s best instructor more than once! Karen played an integral role in Cleveland State’s Bellwether Award-winning “Do the Math” redesign project, and she speaks frequently on course redesign at colleges throughout the nation and also serves as a redesign scholar for The National Center for Academic Transformation (NCAT).

**Mini-Mod 1 Whole Numbers **Topic 1.1 Whole Numbers

Topic 1.2 Rounding

Topic 1.3 Adding Whole Numbers; Estimation

Topic 1.4 Subtracting Whole Numbers

Topic 1.5 Basic Problem Solving

Topic 1.6 Multiplying Whole Numbers

Topic 1.7 Dividing Whole Numbers

Topic 1.8 More with Multiplying and Dividing

Topic 1.9 Exponents

Topic 1.10 Order of Operations and Whole Numbers

Topic 1.11 More Problem Solving

**Mini-Mod 2 Factors and Fractions **Topic 2.1 Factors

Topic 2.2 Prime Factorization

Topic 2.3 Understanding Fractions

Topic 2.4 Simplifying Fractions - GCF and Factors Method

Topic 2.5 Simplifying Fractions - Prime Factors Method

Topic 2.6 Multiplying Fractions

Topic 2.7 Dividing Fractions

**Mini-Mod 3 LCM and Fractions **Topic 3.1 Finding the LCM - List Method

Topic 3.2 Finding the LCM - GCF Method

Topic 3.3 Finding the LCM - Prime Factor Method

Topic 3.4 Writing Fractions with an LCD

Topic 3.5 Adding and Subtracting Like Fractions

Topic 3.6 Adding and Subtracting Unlike Fractions

Topic 3.7 Order of Operations and Fractions

**Mini-Mod 4 Mixed Numbers **Topic 4.1 Changing a Mixed Number to an Improper Fraction

Topic 4.2 Changing an Improper Fraction to a Mixed Number

Topic 4.3 Multiplying Mixed Numbers

Topic 4.4 Dividing Mixed Numbers

Topic 4.5 Adding Mixed Numbers

Topic 4.6 Subtracting Mixed Numbers

Topic 4.7 Adding and Subtracting Mixed Numbers - Improper Fractions

**Mini-Mod 5 Operations with Decimals **Topic 5.1 Decimal Notation

Topic 5.2 Comparing Decimals

Topic 5.3 Rounding Decimals

Topic 5.4 Adding and Subtracting Decimals

Topic 5.5 Multiplying Decimals

Topic 5.6 Dividing Decimals

Topic 5.7 Order of Operations and Decimals

Topic 5.8 Converting Fractions to Decimals

Topic 5.9 Converting Decimals to Fractions

**Mini-Mod 6 Ratios, Rates, and Percents **Topic 6.1 Ratios

Topic 6.2 Rates

Topic 6.3 Proportions

Topic 6.4 Percent Notation

Topic 6.5 Percent and Decimal Conversions

Topic 6.6 Percent and Fraction Conversions

Topic 6.7 The Percent Equation

Topic 6.8 The Percent Proportion

Topic 6.9 Percent Applications

**Mini-Mod 7 U.S. and Metric Measurement **Topic 7.1 U.S. Length

Topic 7.2 U.S. Weight and Capacity

Topic 7.3 Metric Length

Topic 7.4 Metric Mass and Capacity

Topic 7.5 Converting between U.S. and Metric Units

Topic 7.6 Time and Temperature

**Mini-Mod 8 Introduction to Geometry **Topic 8.1 Lines and Angles

Topic 8.2 Figures

Topic 8.3 Perimeter - Definitions and Units

Topic 8.4 Finding Perimeter

Topic 8.5 Area - Definitions and Units

Topic 8.6 Finding Area

Topic 8.7 Understanding Circles

Topic 8.8 Finding Circumference

Topic 8.9 Finding Area - Circles

**Mini-Mod 9 More Geometry **Topic 9.1 Volume - Definitions and Units

Topic 9.2 Finding Volume

Topic 9.3 Square Roots

Topic 9.4 The Pythagorean Theorem

Topic 9.5 Similar Figures

Topic 9.6 Finding Missing Lengths

**Mini-Mod 10 Statistics **Topic 10.1 Bar Graphs

Topic 10.2 Line Graphs

Topic 10.3 Circle Graphs

Topic 10.4 Mean

Topic 10.5 Median

Topic 10.6 Mode

**Mini-Mod 11 Real Numbers and Variables** ** **Topic 11.1 Introduction to Real Numbers

Topic 11.2 Graphing Rational Numbers Using a Number Line

Topic 11.3 Translating Phrases into Algebraic Inequalities

Topic 11.4 Finding the Absolute Value of a Real Number

**Mini -Mod **

Topic 12.2 Adding Real Numbers with Different Signs

Topic 12.3 Finding the Opposite of a Real Number

Topic 12.4 Subtracting Real Numbers

Topic 12.5 Addition Properties of Real Numbers

**Mini-Mod 13 Multiplying and Dividing with Real Numbers **Topic 13.1 Multiplying Real Numbers

Topic 13.2 Finding the Reciprocal of a Real Number

Topic 13.3 Dividing Real Numbers

Topic 13.4 Exponents and the Order of Operations

Topic 13.5 The Distributive Property

Topic 13.6 Multiplication Properties of Real Numbers

**Mini-Mod 14 Variables and Expressions **Topic 14.1 Introduction to Expressions

Topic 14.2 Evaluating Algebraic Expressions

Topic 14.3 Simplifying Expressions

Topic 14.4 Simplifying Expressions with Parentheses

Topic 14.5 Translating Words into Symbols

**Mini-Mod 15 Introduction to Solving Linear Equations **Topic 15.1 Translating Words into Equations

Topic 15.2 Linear Equations and Solutions

Topic 15.3 Using the Addition Property of Equality

Topic 15.4 Using the Multiplication Property of Equality

Topic 15.5 Using the Addition and Multiplication Properties Together

**Mini-Mod 16 Solving More Linear Equations and Inequalities **Topic 16.1 Solving Equations with Variables on Both Sides

Topic 16.2 Solving Equations with Parentheses

Topic 16.3 Solving Equations with Fractions

Topic 16.4 Solving a Variety of Equations

Topic 16.5 Solving Equations and Formulas for a Variable

Topic 16.6 Solving and Graphing Linear Inequalities

**Mini-** **Mod 17 Introduction to Graphing Linear Equations **Topic 17.1 The Rectangular Coordinate System

Topic 17.2 Graphing Linear Equations by Plotting Points

Topic 17.3 Graphing Linear Equations Using Intercepts

Topic 17.4 Graphing Linear Equations of the Form x=a, y=b, and y=mx

**Mini - **

Topic 18.2 Slope-Intercept Form

Topic 18.3 Graphing Lines Using the Slope and y-Intercept

Topic 18.4 Writing Equations of Lines Using a Point and Slope

Topic 18.5 Writing Equations of Lines Using Two Points

**Mini-Mod 19 Introduction to Functions **Topic 19.1 Relations and Functions

Topic 19.2 The Vertical Line Test

Topic 19.3 Function Notation

Topic 19.4 Evaluating Functions

Topic 19.5 Piecewise Functions

**Mini-Mod 20 Solving Systems of Linear Equations **Topic 20.1 Introduction to Systems of Linear Equations

Topic 20.2 Solving by the Graphing Method

Topic 20.3 Solving by the Substitution Method

Topic 20.4 Solving by the Elimination Method

**Mini-Mod 21 Introduction to Polynomials and Exponent Rules **Topic 21.1 Introduction to Polynomials

Topic 21.2 Addition of Polynomials

Topic 21.3 Subtraction of Polynomials

Topic 21.4 Product Rule for Exponents

Topic 21.5 Power Rule for Exponents

**Mini - **

Topic 22.2 Multiplying Binomials

Topic 22.3 Multiplying Polynomials

Topic 22.4 Multiplying the Sum and Difference of Two Terms

Topic 22.5 Squaring Binomials

**Mini-Mod 23 Dividing Polynomials and More Exponent Rules **Topic 23.1 The Quotient Rule

Topic 23.2 Integer Exponents

Topic 23.3 Scientific Notation

Topic 23.4 Dividing a Polynomial by a Monomial

Topic 23.5 Dividing a Polynomial by a Binomial

**Mini-Mod 24 Factoring Polynomials **Topic 24.1 Greatest Common Factor

Topic 24.2 Factoring by Grouping

Topic 24.3 Factoring Trinomials of the Form

Topic 24.4 Factoring Trinomials of the Form

Topic 24.5 More Factoring of Trinomials

**Mini-Mod 25 More Factoring and Quadratic Equations **Topic 25.1 Special Cases of Factoring

Topic 25.2 Factoring Polynomials

Topic 25.3 Solving Quadratic Equations by Factoring

Topic 25.4 Applications

**Mini-Mod 26 Introduction to Rational Expressions **Topic 26.1 Undefined Rational Expressions

Topic 26.2 Simplifying Rational Expressions

Topic 26.3 Multiplying Rational Expressions

Topic 26.4 Dividing Rational Expressions

**Mini-Mod 27 Adding and Subtracting Rational Expressions **Topic 27.1 Adding Like Rational Expressions

Topic 27.2 Subtracting Like Rational Expressions

Topic 27.3 Finding the Least Common Denominator for Rational Expressions

Topic 27.4 Adding and Subtracting Unlike Rational Expressions

**Mini-Mod 28 Complex Rational Expressions and Rational Equations **Topic 28.1 Simplifying Complex Rational Expressions by Adding and Subtracting

Topic 28.2 Simplifying Complex Rational Expressions by Multiplying by the LCD

Topic 28.3 Solving Rational Equations

Topic 28.4 Direct Variation

Topic 28.5 Inverse Variation

Topic 28.6 Applications

**Mini-Mod 29 Roots and Radicals **Topic 29.1 Square Roots

Topic 29.2 Higher-Order Roots

Topic 29.3 Simplifying Radical Expressions

Topic 29.4 Rational Exponents

Topic 29.5 The Pythagorean Theorem

Topic 29.6 The Distance Formula

**Mini-Mod 30 Operations of Radical Expressions **Topic 30.1 Adding and Subtracting Radical Expressions

Topic 30.2 Multiplying Radical Expressions

Topic 30.3 Dividing Radical Expressions

Topic 30.4 Rationalizing the Denominator

Topic 30.5 Solving Radical Equations

**Mini-Mod 31 Solving Quadratic Equations **Topic 31.1 Introduction to Solving Quadratic Equations

Topic 31.2 Solving Quadratic Equations by Factoring

Topic 31.3 Solving Quadratic Equations using the Square Root Property

Topic 31.4 Solving Quadratic Equations by Completing the Square

Topic 31.5 Solving Quadratic Equations using the Quadratic Formula

**Mini-Mod 32 Graphing Quadratic Equations **Topic 32.1 Introduction to Graphing Quadratic Equations

Topic 32.2 Finding the Vertex of a Quadratic Equation

Topic 32.3 Finding the Intercepts of a Quadratic Equation

Topic 32.4 Graphing Quadratic Equations Summary

**Mini-Mod 33 Compound and Quadratic Inequalities **Topic 33.1 Sets

Topic 33.2 Interval Notation

Topic 33.3 Graphing Compound Inequalities

Topic 33.4 Solving Compound Inequalities

Topic 33.5 Solving Quadratic Inequalities

**Mini-Mod 34 Absolute Value Equations and Inequalities **Topic 34.1 Introduction to Absolute Value Equations

Topic 34.2 Solving Basic Absolute Value Equations

Topic 34.3 Solving Multiple Absolute Value Equations

Topic 34.4 Solving Absolute Value Inequalities

**Appendix A Conic Sections **Topic A.1 The Circle

Topic A.2 The Parabola

Topic A.3 The Ellipse

Topic A.4 The Hyperbola

**Appendix B Logarithmic and Exponential ** **Functions**

Topic B.1 Evaluating Exponential and Logarithmic Expressions

Topic B.2 Graphing Exponential Functions

Topic B.3 Solving Simple Exponential Equations and Applications

Topic B.4 Converting Between Exponential and Logarithmic Forms

Topic B.5 Solving Simple Logarithmic Equations

Topic B.6 Graphing Logarithmic Functions

**Appendix C Solving Logarithmic and Exponential Equations **Topic C.1 Properties of Logarithms

Topic C.2 Common and Natural Logarithms

Topic C.3 Change of Base of Logarithms

Topic C.4 Solving Exponential Equations and Applications

Topic C.5 Solving Logarithmic Equations and Applications

**Appendix D Additional Topics **Topic D.1 The Midpoint Formula

Topic D.2 Writing Equations of Parallel and Perpendicular Lines

Topic D.3 Graphing Linear Inequalities in Two Variables

Topic D.4 Systems of Linear Inequalities

Topic D.5 Synthetic Division

Topic D.6 Complex Numbers

Topic D.7 Matrices and Determinants

Topic D.8 Cramer’s Rule

Topic D.9 Solving Systems of Linear Equations Using Matrices

Topic D.10 Basic Probability and Statistics

Topic D.11 Applications of Systems of Linear Equations