Algebra 1

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1. Connections to Algebra

1.3. Order of Operations

Order of Operations

1.5. A Problem Solving Plan Using Models

Using Algebraic Equations

Using Algebraic Expressions

1.7. An Introduction to Functions

Introduction to Functions

2. Properties of Real Numbers

2.1. The Real Number Line

Comparing and Ordering Integers

2.2. Addition of Real Numbers

Adding Real Numbers

2.3. Subtraction of Real Numbers

Adding and Subtracting Integers

2.7. Division of 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 B

3.3. Solving Multi-Step Equations

Modeling One-Step Equations - Activity B

Solving Two-Step Equations

3.4. Solving Equations with Variables on Both Sides

Solving Equations By Graphing Each Side

3.7. Formulas and Functions

Direct Variation

3.8. Rates, Ratios, and Percents

Percents and Proportions

4. Graphing Linear Equations and Functions

4.1. Coordinates and Scatter Plots

Scatter Plots - Activity A

4.2. Graphing Linear Equations

Linear Functions

4.4. The Slope of a Line

Slope - Activity A

4.5. Direct Variation

Direct Variation

4.6. Quick Graphs Using Slope-Intercept Form

Slope-Intercept Form of a Line - Activity A

4.7. Solving Linear Equations Using Graphs

Solving Equations By Graphing Each Side

4.8. Functions and Relations

Solving Equations By Graphing Each Side

5. Writing Linear Equations

5.1. Writing Linear Equations in Slope-Intercept Form

Slope-Intercept Form of a Line - Activity A

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

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

6. Solving and Graphing Linear Inequalities

6.1. Solving One-Step Linear Inequalities

Solving Linear Inequalities using Addition and Subtraction

6.2. Solving Multi-Step Linear Inequalities

Solving Linear 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

7. Systems of Linear Equations and Inequalities

7.1. Solving Linear Systems by Graphing

Solving Linear Systems by Graphing

Modeling Linear Systems - Activity B

7.3. Soling Linear Systems by Linear Combinations

Systems of Linear Equations - Activity A

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. Solving Systems of Linear Inequalities

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

Systems of Linear Inequalities (Standard form)

8. Exponents and Exponential Functions

8.1. Multiplication Properties of Exponents

Multiplying Exponential Expressions

8.3. Division Properties of Exponents

Dividing Exponential Expressions

8.5. Exponential Growth Functions

Simple and Compound Interest

Exponential Growth and Decay - Activity B

8.6. Exponential Decay Functions

Exponential Growth and Decay - Activity B

9. Quadratic Equations and Functions

9.3. Graphing Quadratic Functions

Quadratic Functions

Quadratics in Vertex Form - Activity A

9.4. Solving Quadratic Equations by Graphing

Quadratics in Factored Form

9.5. Solving Quadratic Equations by the Quadratic Formula

Roots of a Quadratic

9.6. Applications of the Discriminant

Roots of a Quadratic

9.7. Graphing Quadratic Inequalities

Quadratic Inequalities - Activity A

10. Polynomials and Factoring

10.1. Adding and Subtracting Polynomials

Addition of Polynomials - Activity B

10.4. Solving Polynomial Equations in Factored Form

Quadratics in Factored Form

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 Equations and Functions

11.1. Ratio and Proportion

Estimating Population Size

Beam to Moon (Ratios and Proportions)

11.2. Percents

Percents and Proportions

11.3. Direct and Inverse Variation

Direct Variation

11.4. Simplifying Rational Expressions

General Form of a Rational Function

11.7. Dividing Polynomials

Dividing Polynomials Using Synthetic Division

12. Radicals and Connections to Geometry

12.1. Functions Involving Square Roots

Functions Involving Square Roots

12.2. Operations with Radical Expressions

Operations with Radical Expressions

12.5. The Pythagorean Theorem and Its Converse

Pythagorean Theorem - Activity B

12.6. The Distance and Midpoint Formulas

Distance Formula - Activity A

12.7. Trigonometric Ratios

Sine and Cosine Ratios - Activity A

Tangent Ratio

Sine, Cosine and Tangent

12.8. Logical Reasoning: Proof

Conditional Statement

Content correlation last revised: 6/26/2008