### TABLE OF CONTENTS FOR COREQUISITE SUPPORT MATERIAL TO ACCOMPANY STATISTICS: INFORMED DECISIONS USING DATA

**Chapter 1 Integrated Review: Getting Ready for Organizing and Summarizing Data**

**Note: **The material in this chapter should be covered in conjunction with Chapter 1 Data Collection, and prior to Chapter 2 Organizing and Summarizing Data.

1.IR1 Fundamentals of Fractions

- Identify Terms Used with Fractions
- Find Equivalent Fraction
- Write a Fraction in Lowest Terms

1.IR2 Fundamentals of Decimals

- Understand the Place Value of a Decimal Number
- Read and Write Decimals in Words
- Write Decimals as Fractions
- Round Decimals to a Given Place Value

1.IR3 The Real Number Line

- Classify Numbers
- Plot Points on a Real Number Line
- Use Inequalities to Order Real Numbers
- Compute the Absolute Value of a Real Number

1.IR4 Fundamentals of Percent Notation

- Define Percent
- Convert Percents to Decimals and Decimals to Percents
- Convert Percents to Fractions and Fractions to Percents

1.IR5 Multiplying and Dividing Fractions

- Multiply Fractions
- Divide Fractions

1.IR6 Adding and Subtracting Fractions

- Add or Subtract Fractions with Like Denominators
- Find the Least Common Denominator and Equivalent Fractions
- Add or Subtract Fractions with Unlike Denominators

1.IR7 Operations on Decimals

- Add or Subtract Decimals
- Multiply Decimals
- Divide a Decimal by a Whole Number
- Divide a Decimal by a Decimal
- Divide Decimals by Powers of 10
- Convert a Fraction to a Decimal

1.IR8 Language Used in Modeling

- Use Models That Involve Addition and Subtraction
- Use Models That Involve Multiplication
- Use Models That Involve Division

**Chapter 2 Integrated Review: Getting Ready for Numerically Summarizing Data**

**Note: **The material in this chapter should be covered in conjunction with Chapter 2 Organizing and Summarizing Data, and prior to Chapter 3 Numerically Summarizing Data.

2.IR1 Exponents and the Order of Operations

- Evaluate Exponential Expressions
- Apply the Rules for Order of Operations

2.IR2 Square Roots

- Evaluate Square Roots
- Determine Whether a Square Root Is Rational, Irrational, or Not a Real Number

2.IR3 Simplifying Algebraic Expressions; Summation Notation

- Evaluate Algebraic Expressions
- Identify Like Terms and Unlike Terms
- Use the Distributive Property
- Simplify Algebraic Expressions by Combining Like Terms
- Use Summation Notation

2.IR4 Solving Linear Equations

- Determine Whether a Number Is a Solution to an Equation
- Solve Linear Equations
- Determine Whether an Equation Is a Conditional Equation, an Identity, or a Contradiction

2.IR5 Using Linear Equations to Solve Problems

- Translate English Sentences into Mathematical Statements
- Model and Solve Direct Translation Problems
- Solve for a Variable in a Formula

**Chapter 3 Integrated Review: Getting Ready for Least-Squares Regression**

**Note: **The material in this chapter should be covered in conjunction with Chapter 3 Numerically Summarizing Data, and prior to Chapter 4 Describing the Relation between Two Variables.

3.IR1 The Rectangular Coordinate System and Equations in Two Variables

- Plot Points in the Rectangular Coordinate System
- Determine Whether an Ordered Pair Satisfies an Equation
- Create a Table of Values That Satisfy an Equation

3.IR2 Graphing Equations in Two Variables

- Graph a Line by Plotting Points
- Graph a Line Using Intercepts
- Graph Vertical and Horizontal Lines

3.IR3 Slope

- Find the Slope of a Line Given Two Points
- Find the Slope of Vertical and Horizontal Lines
- Graph a Line Using Its Slope and a Point on the Line
- Work with Applications of Slope

3.IR4 Slope-Intercept Form of a Line

- Use the Slope-Intercept Form to Identify the Slope and
*y*-Intercept of a Line - Graph a Line Whose Equation Is in Slope-Intercept Form
- Graph a Line Whose Equation Is in the Form
*Ax*+*By*=*C* - Find the Equation of a Line Given Its Slope and
*y*-Intercept - Work with Linear Models in Slope-Intercept Form

3.IR5 Point-Slope Form of a Line

- Find the Equation of a Line Given a Point and a Slope
- Find the Equation of a Line Given Two Points
- Build Linear Models from Data

**Chapter 4 Integrated Review: Getting Ready for Probability **

**Note: **The material in this chapter should be covered in conjunction with Chapter 4 Describing the Relation between Two Variables, and prior to Chapter 5 Probability.

4.IR1 Scientific Notation

- Convert Decimal Notation to Scientific Notation
- Convert Scientific Notation to Decimal Notation
- Use Scientific Notation to Multiply and Divide

4.IR2 Interval Notation; Intersection and Union of Sets

- Represent Inequalities Using the Real Number Line and Interval Notation
- Determine the Intersection or Union of Two Sets

4.IR3 Linear Inequalities

- Solve Linear Inequalities Using Properties of Inequalities
- Model Inequality Problems

**Note: **There is no integrated review material to be covered in conjunction with Chapter 5 Probability, and prior to Chapter 6 Discrete Probability Distributions.

**Chapter 6 Integrated Review: Getting Ready for the Normal Probability Distribution**

**Note: **The material in this chapter should be covered in conjunction with Chapter 6 Discrete Probability Distributions, and prior to Chapter 7 The Normal Probability Distribution.

6.IR1 Perimeter and Area of Polygons and Circles

- Find the Perimeter and Area of a Rectangle and a Square
- Find the Perimeter and Area of a Parallelogram and a Trapezoid
- Find the Perimeter and Area of a Triangle
- Find the Circumference and Area of a Circle

**Note: **There is no integrated review material to be covered in conjunction with Chapter 7 The Normal Probability Distribution, and prior to Chapter 8 Sampling Distributions.

**Chapter 8 Integrated Review: Getting Ready for Confidence Intervals**

**Note: **The material in this chapter should be covered in conjunction with Chapter 8 Sampling Distributions, and prior to Chapter 9 Estimating the Value of a Parameter.

8.IR1 Compound Inequalities

- Solve Compound Inequalities Involving “and”
- Solve Compound Inequalities Involving “or”
- Solve Problems Using Compound Inequalities

8.IR2 Absolute Value Equations and Inequalities

- Solve Absolute Value Equations
- Solve Absolute Value Inequalities Involving < or
__<__ - Solve Absolute Value Inequalities Involving > or
__>__ - Solve Applied Problems Involving Absolute Value Inequalities

**Appendix A Functions, Exponential Functions, and Logarithmic Functions**

**Note: **The material in this chapter is optional and may be covered as part of an integrated review course.

A.IR1 Relations

- Understand Relations
- Find the Domain and the Range of a Relation
- Graph a Relation Defined by an Equation

A.IR2 An Introduction to Functions

- Determine Whether a Relation Expressed as a Map or Ordered Pairs Represents a Function
- Determine Whether a Relation Expressed as an Equation Represents a Function
- Determine Whether a Relation Expressed as a Graph Represents a Function
- Find the Value of a Function
- Find the Domain of a Function
- Work with Applications of Functions

A.IR3 Functions and Their Graphs

- Graph a Function
- Obtain Information from the Graph of a Function
- Know Properties and Graphs of Basic Functions
- Interpret Graphs of Functions

A.IR4 Linear Functions and Models

- Graph Linear Functions
- Find the Zero of a Linear Function
- Build Linear Models from Verbal Descriptions

Getting Ready for Exponential and Logarithmic Functions

- Simplify Exponential Expressions Using the Product Rule
- Simplify Exponential Expressions Using the Quotient Rule
- Evaluate Exponential Expressions with a Zero or Negative Exponent
- Simplify Exponential Expressions Using the Power Rule
- Simplify Exponential Expressions Containing Products or Quotients

A.IR5 Exponential Functions

- Evaluate Exponential Expressions
- Graph Exponential Functions
- Define the Number
*e* - Solve Exponential Equations
- Use Exponential Models That Describe Our World

A.IR6 Logarithmic Functions

- Change Exponential Equations to Logarithmic Equations
- Change Logarithmic Equations to Exponential Equations
- Evaluate Logarithmic Functions
- Determine the Domain of a Logarithmic Function
- Graph Logarithmic Functions
- Work with Natural and Common Logarithms
- Solve Logarithmic Equations
- Use Logarithmic Models That Describe Our World

A.IR7 Properties of Logarithms

- Understand the Properties of Logarithms
- Write a Logarithmic Expression as a Sum or Difference of Logarithms
- Write a Logarithmic Expression as a Single Logarithm
- Evaluate a Logarithm Whose Base Is Neither 10 Nor
*e*

A.IR8 Exponential Equations

- Solve Exponential Equations
- Solve Equations Involving Exponential Models