McDougal Littell Algebra 1 2007

1.1: Evaluate Expressions

• Simplifying Algebraic Expressions

1.2: Apply Order of Operations

• Simplifying Expressions with the Order of Operations

1.3: Write Expressions

• Writing Algebraic Expressions

1.4: Write Equations and Inequalities

• Writing, Graphing, and Identifying Solutions of Inequalities

1.5: Use a Problem Solving Plan

1.6: Represent Functions as Rules and Tables

• Finding Domain and Range

1.7: Represent Functions as Graphs

2.1: Use Integers and Rational Numbers

• Identifying and Using the Properties of Real Numbers
  
• Writing Sets and Identifying Subsets
• Finding Unions and Intersections of Sets

2.2: Add Real Numbers

• Finding Sums and Differences of Real Numbers

2.3: Subtract Real Numbers

• Finding Sums and Differences of Real Numbers

2.4: Multiply Real Numbers

• Finding Products and Quotients of Real Numbers

2.5: Apply the Distributive Property

• Using the Distributive Property

2.6: Divide Real Numbers

• Finding Products and Quotients of Real Numbers

2.7: Find Square Roots and Compare Real Numbers

• Comparing and Ordering Real Numbers
  
• Finding and Estimating Square Roots

3.1: Solve One-Step Equations

• Solving One Step Equations with One Variable

3.2: Solve Two-Step Equations

• Solving Two Step Equations

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: Write Ratios and Proportions

• Finding Ratios and Rates

3.6: Solve Proportions Using Cross Products

• Solving and Applying Proportions

3.7: Solve Percent Problems

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

3.8: Rewrite Equations and Formulas

• Rewriting Formulas

4.1: Plot Points in a Coordinate Plane

4.2: Graphing Linear Equations

• Finding Slopes from Tables

4.3: Graph Using Intercepts

• Graphing Linear Equations Using Intercepts
• Writing Linear Equations in Standard Form

4.4: Find Slope and Rate of Change

• Finding Slopes from Tables
• Finding Slope

4.5: Graph Using Slope-Intercept Form

• Writing Linear Equations in Slope-Intercept Form

4.6: Model Direct Variation

• Writing and Graphing an Equation of Direct Variation

4.7: Graph Linear Functions

• Writing Linear Equations in Slope-Intercept Form

5.1: Write Linear Equations in Slope-Intercept Form

• Writing Linear Equations in Slope-Intercept Form

5.2: Use Linear Equations in Slope-Intercept Form

• Writing Linear Equations in Slope-Intercept Form

5.3: Write Linear Equatoins in Point-Slope Form

• Using Point-Slope Form

5.4: Write Linear Equations in Standard Form

• Writing Linear Equations in Standard Form

5.5: Write Equations of Parallel and Perpendicular Lines

• Determining Whether Lines are Parallel, Perpendicular, or Neither
• Writing Equations of Parallel and Perpendicular Lines

5.6: Fit a Line to Data

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

5.7: Predict with Linear Models

• Using a Trend Line and a Line of Best Fit

6.1: Solve Inequalities Using Addition and Subtraction

• Using Addition and Subtraction to Solve Inequalities

6.2: Solve Inequalities Using Multiplication and Division

• Using Multiplication and Division to Solve Inequalities

6.3: Solve Multi-Step Inequalities

• Solving Multi-Step Inequalities

6.4: Solve Compound Inequalities

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

6.5: Solve Absolute Value Equations

• Solving Equations Involving Absolute Value

6.6: Solve Absolute Value Inequalities

• Solving Inequalities Involving Absolute Value

6.7: Graph Linear Inequalities in Two Variables

• Graphing Linear Inequalities

7.1: Solve Linear Systems by Graphing

• Solving Systems of Equations by Graphing

7.2: Solve Linear Systems by Substitution

• Solving Systems of Equations Using Substitution

7.3: Solve Linear Systems by Adding or Subtracting

• Solving Systems by Eliminating a Variable

7.4: Solve Linear Systems by Multiplying First

• Solving Systems by Eliminating a Variable

7.5: Solve Special Types of Linear Systems

• Analyzing Special Systems

7.6: Solve Systems of Linear Inequalities

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

8.1: Apply Exponent Properties Involving Products

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

8.2: Apply Exponent Properties Involving Quotients

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

8.3: Define and Use Zero and Negative Exponents

• Simplifying Expressions Involving Zero and Negative Exponents

8.4: Use Scientific Notation

8.5: Write and Graph Exponential Growth Functions

• Modeling Exponential Growth and Decay

8.6: Write and Graph Exponential Decay Functions

• Modeling Exponential Growth and Decay

9.1: Add and Subtract Polynomials

• Adding and Subtracting Polynomials

9.2: Multiply Polynomials

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

9.3: Find Special Products of Polynomials

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

9.4: Solve Polynomial Equations in Factored Form

9.5: Factor x2 + bx + c

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

9.6: Factor ax2 + bx + c

• Factoring Trinomials of the Form ax²+bx+c

9.7: Factor Special Products

• Factoring Perfect Square Polynomials and Differences of Two Squares

9.8: Factor Polynomials Completely

• Factoring Higher-Degree Polynomials by Grouping

10.1: Graph y = ax^2 + c

• Graphing a Quadratic Function of the Form ax² and ax²+c

10.2: Graph y = ax2 + bx + c

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

10.3: Solve Quadratic Equations by Graphing

• Solving Quadratic Equations by Graphing

10.4: Use Square Roots to Solve Quadratic Equations

• Solving Quadratic Equations Using Square Roots

10.5: Solve Quadratic Equations by Completing the Square

• Solving Quadratic Equations by Completing the Square

10.6: Solve Quadratic Equations by the Quadratic Formula

• Solving Quadratic Equations using the Quadratic Formula

10.7: Interpret the Discriminant

• Finding the Number of Solutions of a Quadratic Equation

10.8: Compare Linear, Exponential, and Quadratic Models

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

11.1: Graph Square Root Functions

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

11.2: Simplify Radical Expressions

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

11.3: Solve Radical Equations

• Solving Equations Containing Radicals
• Identifying Extraneous Solutions

11.4: Apply the Pythagorean Theorem and Its Converse

• Solving Problems with the Pythagorean Theorem
• Identifying Right Triangles

11.5: Apply the Distance and Midpoint Formulas

12.1: Model Inverse Variation

• Writing Equations for Inverse Variations

12.2: Graph Rational Functions

• Graphing Rational Functions

12.3: Divide Polynomials

• Dividing Polynomials

12.4: Simplify Rational Expressions

• Simplifying Rational Expressions

12.5: Multiply and Divide Rational Expressions

• Multiplying and Dividing Rational Expressions

12.6: Add and Subtract Rational Expressions

• Adding and Subtracting Rational Expressions

12.7: Solve Rational Equations

• Solving Rational Equations and Proportions

13.1: Find Probabilities and Odds

• Finding Theoretical and Experimental Probabilities

13.2: Find Probabilities Using Permutations

• Finding Permutations and Combinations

13.3: Find Probabilities Using Combinations

• Finding Permutations and Combinations

13.4: Find Probabilities of Compound Events

• Finding Probabilities of Mutually Exclusive Events
• Finding Probabilities of Independent and Dependent Events

13.5: Analyze Surveys and Samples

• Classifying Data and Analyzing Samples and Surveys

13.6: use Measures of Central Tendency and Dispersion

• Finding Mean, Median, Mode, and Range

13.7: Interpret Stem-and-Leaf Plots and Histograms

• Making and Interpreting Frequency Tables and Histograms

13.8: Interpret Box and Whisker Plots

• Making and Interpreting Box-and-Whisker Plots