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Course Contents

Summary: Review Topics

About This Book

Just in Time Review: Chapter 3 Finance

Course Contents at a Glance

Review Topics for Success

Learning Outcomes

Writing and Naming Decimals

Chapter 1: General Problem Solving

Converting Decimals to Fractions or Mixed Numbers

Why It Matters: General Problem Solving

Locating and Ordering Decimals With a Number Line

Percents and Proportional Relationships

Rounding Decimals

Solving Problems with Math

Adding and Subtracting Decimals

Putting It Together: General Problem Solving

Multiplying Decimals

Chapter 2: Growth Models

Dividing Decimals

Why it Matters: Growth Models

Using Decimals in Money Applications

Linear Growth and Exponential Growth

Converting Fractions to Decimals

Logistic Growth

Comparing Decimals and Fractions

Putting It Together: Growth Models

Simplifying Expressions With Decimals and Fractions

Chapter 3: Finance

Using the Properties of Equality to Solve Equations With Decimals

Why It Matters: Finance

Solving Equations By Clearing Decimals

Taxes

Translating Words to Equations That Contain Decimals

Simple and Compound Interest

Summary: Review

Annuities and Loans

Just in Time Review: Chapter 4 Set Theory and Logic

Which Finance Formula to Use?

Review Topics for Success

Putting It Together: Finance

Identifying Rational and Irrational Numbers

Chapter 4: Logic and Set Theory

Classifying Real Numbers

Why It Matters: Logic and Set Theory

Rewriting Expressions Using the Commutative and Associative Properties

Logical Fallacies in Common Language

Evaluating and Simplifying Expressions Using the Commutative and Associative Properties

Logic Basics

Simplifying Expressions With Different Forms of the Distributive Property

Analyzing Arguments With Logic

Simplifying and Evaluating Expressions Using the Distributive Property

Set Theory Basics

Using the Multiplication and Division Properties of Zero

Putting It Together: Logic and Set Theory

Using the Identity and Inverse Properties of Addition and Subtraction

Chapter 5: Probability

Simplifying Expressions Using the Properties of Identities, Inverses, and Zero

Why It Matters: Probability

Summary: Review Topics

5.2: Calculating the Probability of an Event

Just in Time Review: Chapter 5 Probability

Counting and Probability

Review Topics for Success

Expected Value

Writing Ratios as Fractions

Putting It Together: Probability

Adding Fractions With Common Denominators

Chapter 6: Statistics

Subtracting Fractions With Common Denominators

Why It Matters: Statistics

Finding the Least Common Multiple of Two Numbers

Data Collection Basics

Adding and Subtracting Fractions With Different Denominators

Sampling Methods and Bias

Finding the Probability of an Event

Representing Data Graphically

Summary: Review Topics

Numerical Summaries of Data

Just in Time Review: Chapter 6 Statistics-Collecting Data

Putting It Together: Statistics

Review Topics for Success

Chapter 7: Voting Theory

Writing Percents as Ratios

Why It Matters: Voting Theory

Writing Percents as Fractions and Decimals

Introduction to Voting Methods

Writing Decimals and Fractions as Percents

Voting Methods: Majority Rule, Plurality, Single Run-off

Translating and Solving Basic Percent Equations

Voting Methods: IRV, Borda Count, Pairwise

Calculating the Mean of a Set of Numbers

Introduction to Fairness Criteria

Finding the Median of a Set of Numbers

The Fairness Criteria

Identifying the Mode of a Set of Numbers

Which Method is Fair?

Summary: Review

Introduction to Approval Voting

A1: Graph Theory

Approval Voting

Why It Matters: Graph Theory

Voting in America

Introduction to Graph Theory Basics

Just in Time Review: Chapter 1 General Problem Solving

Elements of Graph Theory

Review Topics for Success

Shortest Path

Introduction to The Language of Algebra

Introduction to Euler and Hamiltonian Paths and Circuits

Real Numbers

Euler Circuits

Using Models to Represent Fractions and Mixed Numbers

Hamiltonian Circuits

Modeling and Finding Equivalent Fractions

Putting It Together: Graph Theory

Simplifying Fractions

A2: Fractals

Adding and Subtracting Fractions

Why It Matters: Fractals

Multiplying Fractions

Introduction to Fractal Basics

Dividing Fractions

Fractal Basics

Decimals

Fractal Dimension

Summary: Review Topics

Introduction to Fractals Generated by Complex Numbers

Just in Time Review: Chapter 2 Growth Models

Arithmetic With Complex Numbers

Review Topics for Success

Generating Fractals With Complex Numbers

Determining Whether a Number is a Solution to an Equation

Putting It Together: Fractals

Solving Equations Using the Subtraction and Addition Properties of Equality

A3: Measurement

Solving Equations With Integers Using Properties of Equality

Why It Matters: Measurement

Converting Fractions to Equivalent Fractions With the LCD

Introduction to US Units of Measurement

Solving Equations That Contain Fractions Using the Addition and Subtraction Properties of Equality

Units of Length

Solving Equations That Contain Fractions Using the Multiplication Property of Equality

Units of Weight

Translating Words Involving Division and Multiplication Into an Algebraic Equation and Solving

Units of Capacity

Translating Words Involving Addition and Subtraction Into an Algebraic Equation and Solving

Introduction to Systems and Scales of Measurement

Using the Subtraction and Addition Properties for Multi-Step Equations

Metric System Basics

Using the Division and Multiplication Properties of Equality for Multi-Step Equations

Applications of Metric Conversions

Solving Equations With Variables on Both Sides

Temperature Scales

Solving Equations By Clearing Fractions

Putting It Together: Measurement