Algebra 1

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1. The Language of Algebra

1.1. Variables and Expressions

Using Algebraic Expressions

1.2. Order of Operations

Order of Operations

1.7. Logical Reasoning

Conditional Statement

2. Real Numbers

2.1. Rational Numbers on the Number Line

Real Number Line - Activity B

2.2. Adding and Subtracting Rational Numbers

Adding Real Numbers

Adding and Subtracting Integers

2.4. Dividing Rational Numbers

Dividing Fractions

2.5. Statistics: Displaying and Analyzing Data

Line Plots

Box-and-Whisker Plots

2.6. Probability: Simple Probability and Odds

Probability Simulations

2.7. Square Roots and Real Numbers

Ordering and Approximating Square Roots

Square Roots

3. Solving Linear Equations

3.1. Writing Equations

Using Algebraic Equations

3.2. Solving Equations by Using Addition and Subtraction

Modeling One-Step Equations - Activity B

3.4. Solving Multi-Step Equations

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

3.5. Solving Equations with the Variable on Each Side

Solving Equations By Graphing Each Side

3.6. Ratios and Proportions

Proportions and Common Multipliers

Beam to Moon (Ratios and Proportions)

Estimating Population Size

3.7. Percent of Change

Percent of Change

3.8. Solving Equations and Formulas

Solving Formulas for any Variable

4. Graphing Relations and Functions

4.1. The Coordinate Plane

Points in the Coordinate Plane - Activity B

4.2. Transformations on the Coordinate Plane

Rotations, Reflections and Translations




4.3. Relations

Introduction to Functions

4.4. Equation as Relations

Using Tables, Rules and Graphs

4.5. Graphing Linear Equations

Linear Functions

4.6. Functions

Introduction to Functions

4.7. Arithmetic Sequences

Arithmetic Sequences

4.8. Writing Equations from Patterns

Finding Patterns

5. Analyzing Linear Equations

5.1. Slope

Slope - Activity A

5.2. Slope and Direct Variation

Direct Variation

5.3. Slope-Intercept Form

Slope-Intercept Form of a Line - Activity A

5.4. Writing Equations in Slope-Intercept Form

Slope-Intercept Form of a Line - Activity B

5.5. Writing Equations in Point-Slope Form

Point-Slope Form of a Line - Activity A

5.7. Statistics: Scatter Plots and Lines of Fit

Scatter Plots - Activity A

Lines of Best Fit Using Least Squares - Activity A

6. Solving Linear Inequalities

6.1. Solving Inequalities by Addition and Subtraction

Solving Linear Inequalities using Addition and Subtraction

6.2. Solving Inequalities by Multiplication and Division

Solving Linear Inequalities using Multiplication and Division

Solving Inequalities Using Multiplication and Division

6.4. Solving Compound Inequalities

Compound Inequalities

6.5. Solving Open Sentences Involving Absolute Value

Inequalities Involving Absolute Values

6.6. Graphing Inequalities in Two Variables

Linear Inequalities in Two Variables - Activity A

7. Solving Systems of Linear Equations and Inequalities

7.1. Graphing Systems of Equations

Solving Linear Systems by Graphing

7.3. Elimination Using Addition and Subtraction

Systems of Linear Equations - Activity A

7.4. Elimination Using Multiplication

Systems of Linear Equations - Activity A

7.5. Graphing Systems of Inequalities

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

Systems of Linear Inequalities (Standard form)

8. Polynomials

8.1. Multiplying Monomials

Multiplying Exponential Expressions

Exponents and Power Rules

8.2. Dividing Monomials

Dividing Exponential Expressions

8.5. Adding and Subtracting Polynomials

Addition of Polynomials - Activity B

9. Factoring

9.3. Factoring Trinomials: x2 + bx + c

Modeling the Factorization of x2+bx+c

9.4. Factoring Trinomials: ax2 + bx + c

Modeling the Factorization of ax2+bx+c

9.5. Factoring Differences of Squares

Factoring Special Products

9.6. Perfect Squares and Factoring

Factoring Special Products

10. Quadratic and Exponential Functions

10.1. Graphing Quadratic Functions

Quadratic Functions

Quadratics in Vertex Form - Activity A

10.2. Solving Quadratic Equations by Graphing

Roots of a Quadratic

Quadratics in Factored Form

10.4. Solving Quadratic Equations by Using the Quadratic Formula

Roots of a Quadratic

10.5. Exponential Functions

Exponential Functions - Activity A

10.6. Growth and Decay

Exponential Growth and Decay - Activity B

10.7. Geometric Sequences

Geometric Sequences

11. Radical Expressions and Triangles

11.1. Simplifying Radical Expressions

Simplifying Radicals - Activity A

11.2. Operations with Radical Expressions

Operations with Radical Expressions

11.4. The Pythagorean Theorem

Pythagorean Theorem - Activity B

11.5. The Distance Formula

Distance Formula - Activity B

11.7. Trigonometric Ratios

Sine and Cosine Ratios - Activity A

Tangent Ratio

Sine, Cosine and Tangent

12. Rational Expressions and Equations

12.1. Inverse Variation

Direct and Inverse Variation

12.5. Dividing Polynomials

Dividing Polynomials Using Synthetic Division

13. Data Analysis

13.2. Introduction to Matrices


13.3. Histograms


13.4. Measures of Variation

Box-and-Whisker Plots

Stem-and-Leaf Plots

13.5. Box-and-Whiskers Plots

Box-and-Whisker Plots

14. Probability

14.1. Counting Outcomes


14.2. Permutations and Combinations

Permutations and Combinations

14.3. Probability of Compound Events

Compound Independent Events

Compound Independent and Dependent Events

14.4. Probability Distributions

Binomial Probabilities

14.5. Probability Simulations

Theoretical and Experimental Probability

Geometric Probability - Activity A

Probability Simulations

Content correlation last revised: 11/9/2010