## Table of Contents

**1. Performing Operations and Evaluating Expressions**

1.1 Variables, Constants, Plotting Points, and Inequalities

1.2 Expressions

1.3 Operations with Fractions and Proportions; Converting Units

1.4 Absolute Value and Adding Real Numbers

1.5 Change in a Quantity and Subtracting Real Numbers

1.6 Ratios, Percents, and Multiplying and Dividing Real Numbers

1.7 Exponents, Square Roots, Order of Operations, and Scientific Notation

Hands-On Projects: Stocks Project

**2. Designing Observational Studies and Experiments**

2.1 Simple Random Sampling

2.2 Systematic, Stratified, and Cluster Sampling

2.3 Observational Studies and Experiments

Hands-On Projects: Survey about Proportions Project; Online Report Project

**3. Graphical and Tabular Displays of Data **

3.1 Frequency Tables, Relative Frequency Tables, and Bar Graphs

3.2 Pie Charts and Two-Way Tables

3.3 Dotplots, Stemplots, and Time-Series Plots

3.4 Histograms

3.5 Misleading Graphical Displays of Data

Hands-On Projects: Student Loan Default Project

**4. Summarizing Data Numerically**

4.1 Measures of Center

4.2 Measures of Spread

4.3 Boxplots

Hands-On Projects: Comparison Shopping of Cars Project

**5. Computing Probabilities**

5.1 Meaning of Probability

5.2 Complement and Addition Rules

5.3 Conditional Probability and the Multiplication Rule for Independent Events

5.4 Finding Probabilities for a Normal Distribution

5.5 Finding Values of Variables for Normal Distributions

Hands-On Projects: Heights of Adults Project

**6. Describing Associations of Two Variables Graphically**

6.1 Scatterplots

6.2 Determining the Four Characteristics of an Association

6.3 Modeling Linear Associations

Hands-On Projects: Climate Change Project; Volume Project

Linear Graphing Project: Topic of Your Choice 421

**7. Graphing Equations of Lines and Linear Models; Rate of Change**

7.1 Graphing Equations of Lines and Linear Models

7.2 Rate of Change and Slope of a Line

7.3 Using Slope to Graph Equations of Lines and Linear Models

7.4 Functions

Hands-On Projects: Climate Change Project; Workout Project; Balloon Project

**8. Solving Linear Equations and Inequalities to Make Predictions **

8.1 Simplifying Expressions

8.2 Solving Linear Equations in One Variable

8.3 Solving Linear Equations to Make Predictions

8.4 Solving Formulas

8.5 Solving Linear Inequalities to Make Predictions

**9. Finding Equations of Linear Models **

9.1 Using Two Points to Find an Equation of a Line

9.2 Using Two Points to Find an Equation of a Linear Model

9.3 Linear Regression Model

Hands-On Projects: Climate Change Project; Golf Ball Project;

Rope Project; Shadow Project; Linear Project: Topic of Your Choice

**10. Using Exponential Models to Make Predictions **

10.1 Integer Exponents

10.2 R ational Exponents

10.3 G raphing Exponential Models

10.4 Using Two Points to Find an Equation of an Exponential Model

10.5 E xponential Regression Model

Hands-On Projects: Stringed Instrument Project; Cooling Water Project

Exponential Project: Topic of Your Choice

**Appendices**

**A. Using A TI-84 Graphing Calculator A-1**

A.1 Turning a Graphing Calculator On or Off

A.2 Making the Screen Lighter or Darker

A.3 Selecting Numbers Randomly

A.4 Entering Data for a Single Variable

A.5 Constructing a Frequency Histogram

A.6 Computing Median, Mean, Standard Deviation, and other Measures

A.7 Constructing a Boxplot

A.8 Computing Probabilities for a Normal Distribution

A.9 Finding a Value of a Variable for a Normal Distribution

A.10 Constructing a Time-Series Plot or Scatterplot

A.11 Constructing Two Scatterplots That Share the Same Axes

A.12 Computing Correlation Coefficients and Coefficients of Determination

A.13 Turning a Plotter On or Off

A.14 Entering an Equation

A.15 Graphing an Equation

A.16 Tracing a Curve without a Scatterplot

A.17 Zooming

A.18 Setting the Window Format

A.19 Graphing Equations with a Scatterplot

A.20 T racing a Curve with a Scatterplot

A.21 Constructing a Table

A.22 Constructing a Table for Two Equations

A.23 Using “Ask” in a Table

A.24 Finding the Intersection Point(s) of Two Curves

A.25 Turning an Equation On or Off

A.26 Finding a Regression Equation

A.27 Constructing a Residual Plot

A.28 Responding to Error Messages

**B. Using Statcrunch**

B.1 Selecting Numbers Randomly

B.2 Entering Data

B.3 Constructing Frequency and Relative Frequency Tables

B.4 Constructing Bar Graphs or Multiple Bar Graphs

B.5 Constructing Pie Charts

B.6 Constructing Two-Way Tables

B.7 Constructing Dotplots

B.8 Constructing Stemplots and Split Stems

B.9 Constructing Time-Series Plots

B.10 Constructing Histograms

B.11 Computing Medians, Means, Standard Deviations, and Other Measures

B.12 Constructing Boxplots

B.13 Computing Probabilities for a Normal Distribution

B.14 Finding Values of a Variable for a Normal Distribution

B.15 Constructing Scatterplots

B.16 Computing Linear Correlation Coefficients and Coefficients of Determination

B.17 Finding Linear Regression Equations

B.18 Constructing Residual Plots for Linear Regression Models

**C. Standard Normal Distribution**

Table C-1