Algebra 1: Equations, Graphs, Applications

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1. Connections to Algebra

1.3. Order of Operations

Order of Operations

1.6. Tables and Graphs

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

2.2. Adding Real Numbers

Adding Real Numbers

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

4.5. Direct Variation

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

9.2. Simplifying Radicals

Simplifying Radicals - Activity A

9.3. Graphing Quadratic Functions

Quadratics in Polynomial Form - Activity A

9.4. Solving Quadratic Equations by Graphing

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 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. 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

12.2. Operations with Radical Expressions

Simplifying Radicals - Activity A

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