Algebra 1: Concepts and Skills

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1. Connections to Algebra

1.3. Order of Operations

Order of Operations

1.5. Translating Words into Mathematical Symbols

Using Algebraic Expressions

Using Algebraic Equations

1.7. Tables and Graphs

Histograms

1.8. 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

2.2. Absolute Value

Comparing and Ordering Integers

2.3. Adding Real Numbers

Adding Real Numbers

2.4. Subtracting Real Numbers

Sums and Differences with Decimals

2.5. Multiplying Real Numbers

Multiplying with Decimals

2.8. Dividing Real Numbers

Dividing Fractions

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

Solving Formulas for any Variable

3.8. Ratios and Rates

Distance-Time and Speed-Time Graphs

Distance-Time Graphs

3.9. Percents

Percents and Proportions

4. Graphing Linear Equations and Functions

4.1. The Coordinate Plane

Points in the Coordinate Plane - Activity B

4.2. Graphing Linear Equations

Using Tables, Rules and Graphs

4.4. Graphing Lines Using Intercepts

Defining a Line with Two Points

4.5. The Slope of a Line

Slope - Activity B

4.6. Direct Variation

Direct Variation

4.7. Graphing Lines Using Slope-Intercept Form

Slope-Intercept Form of a Line - Activity B

4.8. Functions and Relations

Introduction to Functions

5. Writing Linear Equations

5.1. Slope-Intercept Form

Slope-Intercept Form of a Line - Activity B

5.2. Point-Slope Form

Point-Slope Form of a Line - Activity A

5.3. Writing Linear Equations Given Two Points

Defining a Line with Two Points

5.4. Standard Form

Standard Form of a Line

6. Solving and Graphing Linear Inequalities

6.1. Solving Inequalities Using Addition or Subtraction

Solving Linear Inequalities using Addition and Subtraction

6.2. Solving Inequalities Using Multiplication or Division

Solving Inequalities Using Multiplication and Division

6.4. Solving Compound Inequalities Involving AND

Compound Inequalities

6.5. Solving Compound Inequalities Involving OR

Compound Inequalities

6.6. Solving Absolute-Value Equations

Absolute Value with Linear Functions - Activity A

6.7. Solving Absolute-Value Inequalities

Inequalities Involving Absolute Values

6.8. Graphing Linear Inequalities in Two Variables

Linear Inequalities in Two Variables - Activity A

7. Systems of Linear Equations and Inequalities

7.1. Graphing Linear Systems

Solving Linear Systems by Graphing

7.3. Solving Linear Systems by Linear Combinations

Systems of Linear Equations - Activity B

7.4. Linear Systems and Problem Solving

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. Graphs of Exponential Functions

Exponential Functions - Activity A

8.4. Division Properties of Exponents

Exponents and Power Rules

8.6. Exponential Growth Functions

Exponential Growth and Decay - Activity A

8.7. Exponential Decay Functions

Exponential Growth and Decay - Activity A

9. Quadratic Equations and Functions

9.1. Square Roots

Square Roots

9.3. Simplifying Radicals

Simplifying Radicals - Activity A

9.4. Graphing Quadratic Functions

Quadratics in Polynomial Form - Activity A

9.5. Solving Quadratic Equations by Graphing

Roots of a Quadratic

9.7. Using the Discriminant

Roots of a Quadratic

9.8. Graphing Quadratic Inequalities

Quadratic Inequalities - Activity A

10. Polynomials and Factoring

10.1. Adding and Subtracting Polynomials

Addition and Subtraction of Polynomials

10.4. Solving Quadratic 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 Expressions and Equations

11.1. Proportions

Part:Part and Part:Whole Ratios

Beam to Moon (Ratios and Proportions)

Estimating Population Size

11.2. Direct and Inverse Variation

Direct and Inverse Variation

11.4. Multiplying and Dividing Rational Expressions

General Form of a Rational Function

12. Radicals and More Connections to Geometry

12.1. Functions Involving Square Roots

Functions Involving Square Roots

12.2. Operations with Radical Expressions

Simplifying Radicals - Activity A

12.6. The Pythagorean Theorem and Its Converse

Pythagorean Theorem - Activity B

Geoboard: The Pythagorean Theorem

12.7. The Distance Formula

Distance Formula - Activity A

Content correlation last revised: 6/24/2008