## Algebra 1: Equations, Graphs, Applications

• Author(s): Larson et. al.     Publisher: McDougal Littell 2001
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### 1. Connections to Algebra

#### 1.3. Order of Operations

Order of Operations

Histograms

#### 1.7. An Introduction to Functions

Using Tables, Rules and Graphs

Linear Functions

Introduction to Functions

### 2. Properties of Real Numbers

#### 2.1. The Real Number Line

Comparing and Ordering Integers

Comparing and Ordering Decimals

Comparing and Ordering Rational Numbers

Real Number Line - Activity B

#### 2.3. Subtracting Real Numbers

Sums and Differences with Decimals

#### 2.5. Multiplying Real Numbers

Multiplying with Decimals

#### 2.7. Dividing Real Numbers

Dividing Fractions

#### 2.8. Probability and Odds

Probability Simulations

### 3. Solving Linear Equations

#### 3.1. Solving Equations Using Addition and Subtraction

Modeling One-Step Equations - Activity A

#### 3.2. Solving Equations Using Multiplication and Division

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

#### 3.3. Solving Multi-Step Equations

Solving Equations By Graphing Each Side

#### 3.4. Solving Equations with Variables on Both Sides

Solving Equations By Graphing Each Side

#### 3.7. Formulas and Functions

Solving Formulas for any Variable

#### 3.8. Rates, Ratios, and Percents

Distance-Time and Speed-Time Graphs

Distance-Time Graphs

Percents and Proportions

### 4. Graphing Linear Equations and Functions

#### 4.1. Coordinates and Scatter Plots

Points in the Coordinate Plane - Activity B

Scatter Plots - Activity A

#### 4.2. Graphing Linear Equations

Using Tables, Rules and Graphs

#### 4.3. Quick Graphs Using Intercepts

Defining a Line with Two Points

#### 4.4. The Slope of a Line

Slope - Activity B

Direct Variation

#### 4.6. Quick Graphs Using Slope-Intercept Form

Slope-Intercept Form of a Line - Activity B

#### 4.7. Solving Linear Equations Using Graphs

Solving Equations By Graphing Each Side

#### 4.8. Functions and Relations

Introduction to Functions

### 5. Writing Linear Equations

#### 5.1. Writing Linear Equations in Slope-Intercept Form

Slope-Intercept Form of a Line - Activity B

#### 5.2. Writing Linear Equations Given the Slope and a Point

Point-Slope Form of a Line - Activity A

#### 5.3. Writing Linear Equations Given Two Points

Defining a Line with Two Points

#### 5.4. Fitting a Line to Data

Correlation

Lines of Best Fit Using Least Squares - Activity A

#### 5.5. Point-Slope Form of a Linear Equation

Point-Slope Form of a Line - Activity A

#### 5.6. The Standard Form of a Linear Equation

Standard Form of a Line

#### 5.7. Predicting with Linear Models

Determining a Spring Constant

### 6. Solving and Graphing Linear Inequalities

#### 6.1. Solving One-Step Linear Inequalities

Solving Linear Inequalities using Addition and Subtraction

Solving Inequalities Using Multiplication and Division

#### 6.3. Solving Compound Inequalities

Compound Inequalities

#### 6.4. Solving Absolute Value Equations and Inequalities

Inequalities Involving Absolute Values

#### 6.5. Graphing Linear Inequalities in Two Variables

Linear Inequalities in Two Variables - Activity A

#### 6.6. Stem-and-Leaf Plots and Mean, Median, and Mode

Stem-and-Leaf Plots

Mean, Median and Mode

#### 6.7. Box-and-Whisker Plots

Box-and-Whisker Plots

Constructing Box-and-Whisker Plots

### 7. Systems of Linear Equations and Inequalities

#### 7.1. Solving Linear Systems by Graphing

Solving Linear Systems by Graphing

#### 7.3. Solving Linear Systems by Linear Combinations

Systems of Linear Equations - Activity B

#### 7.4. Applications of Linear Systems

Modeling Linear Systems - Activity B

#### 7.5. Special Types of Linear Systems

Special Types of Solutions to Linear Systems

#### 7.6. Systems of Linear Inequalities

Systems of Linear Inequalities (Slope-intercept form) - Activity A

### 8. Exponents and Exponential Functions

#### 8.1. Multiplication Properties of Exponents

Multiplying Exponential Expressions

#### 8.2. Zero and Negative Exponents

Exponents and Power Rules

#### 8.3. Division Properties of Exponents

Exponents and Power Rules

#### 8.5. Exponential Growth Functions

Exponential Growth and Decay - Activity A

#### 8.6. Exponential Decay Functions

Exponential Growth and Decay - Activity A

### 9. Quadratic Equations and Functions

Quadratics in Polynomial Form - Activity A

### 10. Polynomials and Factoring

#### 10.5. Factoring x2 + bx + c

Modeling the Factorization of x2+bx+c

#### 10.6. Factoring ax2 + bx + c

Modeling the Factorization of ax2+bx+c

#### 10.7. Factoring Special Products

Factoring Special Products

### 11. Rational Expressions and Equations

#### 11.1. Ratio and Proportions

Part:Part and Part:Whole Ratios

Beam to Moon (Ratios and Proportions)

Estimating Population Size

#### 11.2. Percents

Percents and Proportions

#### 11.3. Direct and Inverse Variation

Direct and Inverse Variation

#### 11.5. Multiplying and Dividing Rational Expressions

General Form of a Rational Function

#### 11.7. Dividing Polynomials

Dividing Polynomials Using Synthetic Division

#### 11.8. Rational Equations and Functions

Rational Functions

General Form of a Rational Function

### 12. Radicals and Connections to Geometry

#### 12.1. Functions Involving Square Roots

Functions Involving Square Roots

#### 12.5. The Pythagorean Theorem and Its Converse

Pythagorean Theorem - Activity B

Geoboard: The Pythagorean Theorem

#### 12.6. The Distance and Midpoint Formulas

Distance Formula - Activity A

#### 12.7. Trigonometric Ratios

Sine and Cosine Ratios - Activity A

Tangent Ratio

#### 12.8. Logical Reasoning: Proof

Conditional Statement

Biconditional Statement

Content correlation last revised: 6/26/2008