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


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: 10/12/2011