McDougal Littell Algebra 1 2004

1.1: Variables in Algebra

• Writing Algebraic Expressions

1.2: Exponents and Powers

• Simplifying Expressions with the Order of Operations

1.3: Order of Operations

• Simplifying Expressions with the Order of Operations

1.4: Equations and Inequalities

• Solving One Step Equations with One Variable
• Writing, Graphing, and Identifying Solutions of Inequalities

1.5: A Problem Solving Plan Using Models

1.6: Tables and Graphs

• Representing Relationships Using Graphs

1.7: An Introduction to Functions

• Determining Whether a Relation is a Function
• Finding Domain and Range

2.1: The Real Number Line

• Comparing and Ordering Real Numbers

2.2: Addition of Real Numbers

• Finding Sums and Differences of Real Numbers

2.3: Subtraction of Real Numbers

• Finding Sums and Differences of Real Numbers

2.4: Adding and Subtracting Matrices

• Adding and Substracting Matrices

2.5: Multiplication of Real Numbers

• Finding Products and Quotients of Real Numbers

2.6: The Distributive Property

• Using the Distributive Property

2.7: Division of Real Numbers

• Finding Products and Quotients of Real Numbers

2.8: Probability and Odds

• Finding Theoretical and Experimental Probabilities

3.1: Solving Equations Using Addition and Subtraction

• Solving One Step Equations with One Variable

3.2: Solving Equations Using Multiplication and Division

• Solving One Step Equations with One Variable

3.3: Solving Multi-Step Equations

• Solving Multi-Step Equations

3.4: Solving Equations with Variables on Both Sides

• Solving Equations with Variables on Both Sides of the Equation
• Identifying Equations that have no Solution

3.5: Linear Equations and Problem Solving

3.6: Solving Decimal Equations

3.7: Formulas and Functions

• Rewriting Formulas

3.8: Rates, Ratios, and Percents

• Finding Ratios and Rates
• Converting Units
• Solving and Applying Proportions

4.1: Coordinates and Scatter Plots

• Writing an Equation of a Trend Line and Line of Best Fit

4.2: Graphing Linear Equations

• Finding Slopes from Tables
• Writing Linear Equations in Slope-Intercept Form

4.3: Quick Graphs Using Intercepts

• Graphing Linear Equations Using Intercepts

4.4: The Slope of a Line

• Finding Slopes from Tables
• Finding Slope

4.5: Direct Variation

• Writing and Graphing an Equation of Direct Variation

4.6: Quick Graphs Using Slope-Intercept Form

• Writing Linear Equations in Slope-Intercept Form

4.7: Solving Linear Equations Using Graphs

4.8: Functions and Relations

•  Identifying and Representing Patterns that Describe Linear Functions

5.1: Writing Linear Equations in Slope-Intercept Form

• Writing Linear Equations in Slope-Intercept Form

5.2: Writing Linear Equations Given the Slope and a Point

• Using Point-Slope Form

5.3: Writing Linear Equations Given Two Points

• Finding Slope
• Using Point-Slope Form

5.4: Fitting a Line to Data

• Writing an Equation of a Trend Line and Line of Best Fit
• Using a Trend Line and a Line of Best Fit

5.5: Point-Slope Form of a Linear Equation

• Using Point-Slope Form

5.6: The Standard Form of a Linear Equation

• Writing Linear Equations in Standard Form

5.7: Predicting with Linear Models

• Using a Trend Line and a Line of Best Fit

6.1: Solving One-Step Linear Inequalities

• Using Addition and Subtraction to Solve Inequalities
• Using Multiplication and Division to Solve Inequalities

6.2: Solving Multi-Step Linear Inequalities

• Solving Multi-Step Inequalities

6.3: Solving Compound Inequalities

• Solving and Graphing “And” Compound Inequalities
• Solving and Graphing “Or” Compound Inequalities

6.4: Solving Absolute-Value Equations and Inequalities

6.5: Graphing Linear Inequalities in Two Variables

• Solving Inequalities Involving Absolute Value

6.6: Stem-and-Leaf Plots and Mean, Median, and Mode

• Finding Mean, Median, Mode, and Range

6.7: Box-and-Whisker Plots

• Making and Interpreting Box-and-Whisker Plots

7.1: Solving Linear Systems by Graphing

• Solving Systems of Equations by Graphing

7.2: Solving Linear Systems by Substitution

• Solving Systems of Equations Using Substitution

7.3: Solving Linear Systems by Linear Combinations

• Solving Systems by Eliminating a Variable

7.4: Applications of Linear Systems

• Choosing the Best Method for Solving a System of Linear Equations

7.5: Special Types of Linear Systems

• Analyzing Special Systems

7.6: Solving Systems of Linear Inequalities

• Graphing Linear Inequalities
• Modeling Real-World Situations Using Systems of Linear Inequalities

8.1: Multiplication Properties of Exponents

• Multiplying Powers With the Same Base
• Raising a Power to a Power
• Raising a Product to a Power

8.2: Zero and Negative Exponents

• Simplifying Expressions Involving Zero and Negative Exponents

8.3: Division Properties of Exponents

• Dividing Powers with the Same Base
• Raising a Quotient to a Power

8.4: Scientific Notation

8.5: Exponential Growth Functions

• Graphing Exponential Functions
• Modeling Exponential Growth and Decay

8.6: Exponential Decay Functions

• Graphing Exponential Functions
• Modeling Exponential Growth and Decay

9.1: Solving Quadratic Equations by Finding Square Roots

• Solving Quadratic Equations Using Square Roots

9.2: Simplifying Radicals

• Simplifying Radicals Involving Products and Quotients

9.3: Graphing quadratic functions

• Graphing Quadratic Functions of the Form ax²+bx+c

9.4: Solving Quadratic Equations by Graphing

• Solving Quadratic Equations by Graphing

9.5: Solving Quadratic Equations by the Quadratic Formula

• Solving Quadratic Equations using the Quadratic Formula

9.6: Applications of the Discriminant

• Finding the Number of Solutions of a Quadratic Equation

9.7: Graphing Quadratic Inequalities

9.8: Comparing Linear, Exponential, and Quadratic Models

• Choosing a Linear, Quadratic, or Exponential Model for Data

10.1: Adding and Subtracting Polynomials

• Adding and Subtracting Polynomials

10.2: Multiplying Polynomials

• Multiplying a Monomial by a Polynomial
• Multiplying Two Binomials or a Binomial by a Trinomial

10.3: Special Products of Polynomials

• Finding the Square of a Binomial and Finding the Product of a Sum and Difference

10.4: Solving Polynomial Equations in Factored Form

10.5: Factoring x2 + bx + c

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

10.6: Factoring ax2 + bx + c

• Factoring Trinomials of the Form ax²+bx+c

10.7: Factoring Special Products

• Factoring Perfect Square Polynomials and Differences of Two Squares

10.8: Factoring Using the Distributive Property

• Factoring a Monomial from a Polynomial

11.1: Ratio and Proportion

• Finding Ratios and Rates
• Solving and Applying Proportions

11.2: Percents

• Solving Percent Problems Using Proportions
• Solving Percent Problems Using Percent Equation

11.3: Direct and Inverse Variation

• Writing and Graphing an Equation of Direct Variation
• Writing Equations for Inverse Variations

11.4: Simplifying Rational Expressions

• Simplifying Rational Expressions

11.5: Multiplying and Dividing Rational Expressions

• Multiplying and Dividing Rational Expressions

11.6: Adding and Subtracting Rational Expressions

• Adding and Subtracting Rational Expressions

11.7: Dividing Polynomials

• Dividing Polynomials

11.8: Rational Equations and Functions

• Graphing Rational Functions

12.1: Square-Root Functions

• Graphing Square Root Functions
• Translating Graphs of Square Root Functions

12.2: Operations with Radical Expressions

• Simplifying Sums and Differences of Radical Expressions
• Simplifying Products and Quotients of Radical Expressions

12.3: Solving Radical Equations

• Solving Equations Containing Radicals
• Identifying Extraneous Solutions

12.4: Completing the Square

• Solving Quadratic Equations by Completing the Square

12.5: The Pythagorean Theorem and Its Converse

• Solving Problems with the Pythagorean Theorem
• Identifying Right Triangles

12.6: The Distance and Midpoint Formulas

12.7: Trigonometric Ratios

• Finding and Using Trigonometric Ratios

12.8: Logical Reasoning: Proof