Table of Contents

1 Whole Numbers
 1.1 Introduction to Whole Numbers
 1.2 Add Whole Numbers
 1.3 Subtract Whole Numbers
 1.4 Multiply Whole Numbers
 1.5 Divide Whole Numbers

2 The Language of Algebra
 2.1 Use the Language of Algebra
 2.2 Evaluate, Simplify, and Translate Expressions
 2.3 Solving Equations Using the Subtraction and Addition Properties of Equality
 2.4 Find Multiples and Factors
 2.5 Prime Factorization and the Least Common Multiple

3 Integers
 3.1 Introduction to Integers
 3.2 Add Integers
 3.3 Subtract Integers
 3.4 Multiply and Divide Integers
 3.5 Solve Equations Using Integers; The Division Property of Equality

4 Fractions

4.1 Visualize Fractions
 Nonunit Fractions
 Unit Fractions: Halves, Thirds, and Quarters
 Making a Whole: Halves, Thirds, and Quarters
 Converting Improper Fractions to Mixed Numbers
 Converting Mixed Numbers to Improper Fractions
 Equivalent Fractions Using Models
 Equivalent Fractions Using Division
 Fractions Greater than One on a Number Line
 4.2 Multiply and Divide Fractions
 4.3 Multiply and Divide Mixed Numbers and Complex Fractions
 4.4 Add and Subtract Fractions with Common Denominators
 4.5 Add and Subtract Fractions with Different Denominators
 4.6 Add and Subtract Mixed Numbers
 4.7 Solve Equations with Fractions

4.1 Visualize Fractions

5 Decimals

5.1 Decimals
 Rounding Numbers with Three Decimal Places
 Place Value: Tenths and Hundredths
 Writing Hundredths
 Rounding Multidigit Decimals to Any Place Value
 Writing Tenths
 Rounding Numbers with Two Decimal Places
 Place Value: Tenths, Hundredths, and Thousandths
 Converting Decimals to Fractions: Tenths and Hundredths
 Decimals on Number Lines: Hundredths
 Comparing Decimals Using Place Value

5.2 Decimal Operations
 Adding Decimals with Two Decimal Places Using the Column Method
 Subtracting Decimals with Two Decimal Places Using the Column Method
 Multiplying Decimals Using the Column Method
 Properties of Multiplication in a Set of Rational Numbers
 Multiplying Decimals by 10, 100, and 1000
 Dividing Decimals by OneDigit Numbers Using Long Division
 Dividing Decimals
 5.3 Decimals and Fractions
 5.4 Solve Equations with Decimals
 5.5 Averages and Probability
 5.6 Ratios and Rate
 5.7 Simplify and Use Square Roots

5.1 Decimals

6 Percents
 6.1 Understand Percent
 6.2 Solve General Applications of Percent
 6.3 Solve Sales Tax, Commission, and Discount Applications
 6.4 Solve Simple Interest Applications
 6.5 Solve Proportions and Their Applications

7 The Properties of Real Numbers
 7.1 Rational and Irrational Numbers
 7.2 Commutative and Associative Properties
 7.3 Distributive Property
 7.4 Properties of Identity, Inverses, and Zero
 7.5 Systems of Measurement

8 Solving Linear Equations
 8.1 Solve Equations Using the Subtraction and Addition Properties of Equality
 8.2 Solve Equations Using the Division and Multiplication Properties of Equality
 8.3 Solve Equations with Variables and Constants on Both Sides
 8.4 Solve Equations with Fraction or Decimal Coefficients

9 Math Models and Geometry
 9.1 Use a Problem Solving Strategy
 9.2 Solve Money Applications
 9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem
 9.4 Use Properties of Rectangles, Triangles, and Trapezoids
 9.5 Solve Geometry Applications: Circles and Irregular Figures
 9.6 Solve Geometry Applications: Volume and Surface Area
 9.7 Solve a Formula for a Specific Variable

10 Polynomials
 10.1 Add and Subtract Polynomials
 10.2 Use Multiplication Properties of Exponents
 10.3 Multiply Polynomials
 10.4 Divide Monomials
 10.5 Integer Exponents and Scientific Notation
 10.6 Introduction to Factoring Polynomials

11 Graphs
 11.1 Use the Rectangular Coordinate System
 11.2 Graphing Linear Equations
 11.3 Graphing with Intercepts
 11.4 Understand Slope of a Line