Prealgebra and Introductory Algebra with POWER Learning
Messersmith/Perez/Feldman
Table of Contents
Chapter 1 Operations with Integers
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
Chapter 2 Variables and Solving Equations
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
Chapter 3 Operations with Signed Fractions
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
Chapter 4 Basic Geometry Concepts
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
Chapter 5 Signed Decimals
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
Chapter 6 Ratios and Proportions
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
Chapter 7 Measurement and Conversion
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
Chapter 8 Percents
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
Chapter 9 Graphs
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
Chapter 10 Real Numbers, Equations, and Inequalities
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
Chapter 11 Linear Equations in Two Variables
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
Chapter 12 Solving Systems of Linear Equations
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
Chapter 13 The Rules of Exponents and Polynomials
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
Chapter 14 Factoring Polynomials
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
Chapter 15 Rational Expressions
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
Chapter 16 Roots and Radicals
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
Chapter 17 Quadratic 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
Appendix
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