Algebra: Concepts and Applications

• Author(s): Cummins et. al.     Publisher: Glencoe/McGraw-Hill 2005
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1. The Language of Algebra

1.2. Order of Operations

Order of Operations

1.7. Displaying and Interpreting Data

Histograms

Stem-and-Leaf Plots

2. Integers

2.1. Graphing Integers on a Number Line

Comparing and Ordering Integers

Real Number Line - Activity B

2.2. The Coordinate Plane

Points in the Coordinate Plane - Activity B

3.1. Rational Numbers

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

3.2. Adding and Subtracting Rational Numbers

Fractions with Unlike Denominators

3.3. Mean, Median, Mode, and Range

Mean, Median and Mode

Describing Data Using Statistics

3.5. Solving Equations by Using Models

Modeling One-Step Equations - Activity A

3.6. Solving Addition and Subtraction Equations

Modeling One-Step Equations - Activity A

4. Multiplication and Division Equations

4.1. Multiplying Rational Numbers

Multiplying Fractions

Permutations

4.3. Dividing Rational Numbers

Multiplying Fractions

4.4. Solving Multiplication and Division Equations

Modeling and Solving Two-Step Equations

4.5. Solving Multi-Step Equations

Solving Two-Step Equations

4.6. Variables on Both Sides

Solving Equations By Graphing Each Side

5. Proportional Reasoning and Probability

5.1. Solving Proportions

Beam to Moon (Ratios and Proportions)

Estimating Population Size

5.3. The Percent Proportion

Percents and Proportions

5.4. The Percent Equation

Percents and Proportions

5.5. Percent of Change

Percent of Change

5.6. Probability and Odds

Probability Simulations

5.7. Compound Events

Compound Independent Events

Compound Independent and Dependent Events

6. Functions and Graphs

6.1. Relations

Introduction to Functions

6.2. Equations as Relations

Using Tables, Rules and Graphs

Linear Functions

6.4. Functions

Introduction to Functions

Direct Variation

6.6. Inverse Variation

Direct and Inverse Variation

7. Linear Equations

7.1. Slope

Slope - Activity A

7.2. Writing Equations in Point-Slope Form

Point-Slope Form of a Line - Activity A

7.3. Writing Equations in Slope-Intercept Form

Slope-Intercept Form of a Line - Activity A

7.4. Scatter Plots

Scatter Plots - Activity A

7.5. Graphing Linear Equations

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

8. Powers and Roots

8.2. Multiplying and Dividing Powers

Dividing Exponential Expressions

Multiplying Exponential Expressions

Square Roots

8.6. Estimating Square Roots

Ordering and Approximating Square Roots

8.7. The Pythagorean Theorem

Pythagorean Theorem - Activity B

9. Polynomials

Addition of Polynomials - Activity B

10. Factoring

10.2. Factoring Using the Distributive Property

Factoring Special Products

10.3. Factoring Trinomials: x2+bx+c

Modeling the Factorization of x2+bx+c

10.4. Factoring Trinomials ax2+bx+c

Modeling the Factorization of ax2+bx+c

Quadratics in Polynomial Form - Activity A

Parabolas - Activity A

Quadratics in Vertex Form - Activity A

Quadratics in Vertex Form - Activity A

Quadratics in Polynomial Form - Activity A

11.7. Exponential Functions

Exponential Functions - Activity A

12. Inequalities

12.2. Solving Addition and Subtraction Inequalities

Solving Linear Inequalities using Addition and Subtraction

12.3. Solving Multiplication and Division Inequalities

Solving Linear Inequalities using Multiplication and Division

12.5. Solving Compound Inequalities

Compound Inequalities

12.6. Solving Inequalities Involving Absolute Value

Inequalities Involving Absolute Values

12.7. Graphing Inequalities in Two Variables

Linear Inequalities in Two Variables - Activity A

13. Systems of Equations and Inequalities

13.1. Graphing Systems of Equations

Modeling Linear Systems - Activity B

13.2. Solution of Systems of Equations

Solving Linear Systems by Graphing

13.4. Elimination: Using Addition and Subtraction

Systems of Linear Equations - Activity B

13.5. Elimination Using Multiplication

Systems of Linear Equations - Activity B

13.7. Graphing Systems of Inequalities

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

Systems of Linear Inequalities (Standard form)

14.1. The Real Numbers

Ordering and Approximating Square Roots

14.2. The Distance Formula

Distance Formula - Activity A