## Pre-Algebra

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

#### 1.3. Variables and Expressions

Using Algebraic Expressions

#### 1.5. Variables and Equations

Using Algebraic Equations

#### 1.6. Ordered Pairs and Relations

Points in the Coordinate Plane - Activity A

Using Tables, Rules and Graphs

#### 1.7. Scatter Plots

Scatter Plots - Activity A

### 2. Integers

#### 2.1. Integers and Absolute Value

Comparing and Ordering Integers

Real Number Line - Activity B

#### 2.6. The Coordinate System

Points in the Coordinate Plane - Activity A

### 3. Equations

#### 3.3. Solving Equations by Adding or Subtracting

Modeling One-Step Equations - Activity A

#### 3.4. Solving Equations by Multiplying and Dividing

Modeling and Solving Two-Step Equations

#### 3.5. Solving Two-Step Equations

Modeling and Solving Two-Step Equations

#### 3.7. Using Formulas

Solving Formulas for any Variable

### 4. Factors and Fractions

#### 4.1. Factors and Monomials

Finding Factors with Area Models

#### 4.3. Prime Factorization

Finding Factors with Area Models

#### 4.5. Simplifying Algebraic Fractions

Dividing Exponential Expressions

#### 4.6. Multiplying and Dividing Monomials

Multiplying Exponential Expressions

### 5. Rational Numbers

#### 5.1. Writing Fractions as Decimals

Percents, Fractions and Decimals

#### 5.2. Rational Numbers

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

#### 5.3. Multiplying Rational Numbers

Multiplying Fractions

#### 5.4. Dividing Rational Numbers

Multiplying Fractions

#### 5.7. Adding and Subtracting Unlike Fractions

Fractions with Unlike Denominators

#### 5.8. Measures of Central Tendency

Mean, Median and Mode

#### 5.9. Solving Equations with Rational Numbers

Solving Equations with Decimals

#### 5.10. Arithmetic and Geometric Sequences

Arithmetic and Geometric Sequences

### 6. Ratio, Proportion, and Percent

#### 6.1. Ratios and Rates

Part:Part and Part:Whole Ratios

#### 6.2. Using Proportions

Beam to Moon (Ratios and Proportions)

Estimating Population Size

#### 6.4. Fractions, Decimals, and Percents

Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals

#### 6.5. Using the Percent Proportion

Percents and Proportions

#### 6.7. Using Percent Equations

Percents and Proportions

#### 6.8. Percent of Change

Percent of Change

#### 6.9. Probability and Predictions

Probability Simulations

### 7. Linear Equations, Inequalities, and Functions

#### 7.1. Solving Equations with Variables on Each Side

Solving Equations By Graphing Each Side

#### 7.4. Solving Inequalities by Adding or Subtracting

Solving Linear Inequalities using Addition and Subtraction

#### 7.5. Solving Inequalities by Multiplying or Dividing

Solving Linear Inequalities using Multiplication and Division

### 8. Functions and Graphing

#### 8.1. Functions

Introduction to Functions

Linear Functions

#### 8.4. Slope

Slope - Activity A

#### 8.6. Slope-Intercept Form

Slope-Intercept Form of a Line - Activity A

#### 8.8. Best-Fit Lines

Lines of Best Fit Using Least Squares - Activity A

#### 8.9. Solving Systems of Equations

Solving Linear Systems by Graphing

#### 8.10. Graphing Inequalities

Linear Inequalities in Two Variables - Activity A

### 9. Applying Algebra to Geometry

#### 9.1. Squares and Square Roots

Square Roots

Ordering and Approximating Square Roots

#### 9.4. Triangles

Triangle Angle Sum - Activity A

Isosceles and Equilateral Triangles

Classifying Triangles

#### 9.5. The Pythagorean Theorem

Pythagorean Theorem - Activity B

#### 9.6. The Distance and Midpoint Formulas

Distance Formula - Activity B

#### 9.8. Sine, Cosine, and Tangent Ratios

Sine and Cosine Ratios - Activity A

Tangent Ratio

### 10. Two-Dimensional Figures

#### 10.1. Line and Angle Relationships

Investigating Angle Theorems - Activity A

#### 10.2. Congruent Triangles

Congruence in Right Triangles

#### 10.3 Transformations on the Coordinate Plane

Rotations, Reflections and Translations

#### 10.5. Area: Parallelograms, Triangles, and Trapezoids

Area of Parallelograms - Activity A

#### 10.6. Polygons

Polygon Angle Sum - Activity A

#### 10.7. Circumference and Area: Circles

Circle: Perimeter, Circumference and Area

### 11.1. Three-Dimensional Figures

#### 11.2. Volume: Prisms and Cylinders

Prisms and Cylinders - Activity A

#### 11.3. Volume: Pyramids and Cones

Pyramids and Cones - Activity B

#### 11.4. Surface Area: Prisms and Cylinders

Surface and Lateral Area of Prisms and Cylinders

#### 11.5. Surface Area: Pyramids and Cones

Surface and Lateral Area of Pyramids and Cones

#### 11.7. Precision and Significant Digits

Triple Beam Balance

### 12. Extending Algebra to Statistics and Polynomials

#### 12.1. Stem-and-Leaf Plots

Stem-and-Leaf Plots

#### 12.2. Measures of Variation

Mean, Median and Mode

#### 12.3. Box-and-Whisker Plots

Box-and-Whisker Plots

Histograms

Permutations

#### 12.7. Permutations and Combinations

Permutations and Combinations

#### 12.8. Odds

Probability Simulations

#### 12.9. Probability of Compound Events

Compound Independent Events

Compound Independent and Dependent Events

### 13. Polynomials and Nonlinear Functions

Addition of Polynomials - Activity B

#### 13.3. Subtracting Polynomials

Addition of Polynomials - Activity B

Linear Functions