**Special Note:**These videos are not meant to replace the textbook but rather to supplement it. In some instances the videos may not cover all necessary topics, and in other instances the videos may cover more topics than necessary. Use with discretion for your own benefit.

Also, different instructors cover different topics for this class. It is unlikely this whole list will apply to your class, so simply pick and choose the necessary topics.

## Chapter 1: Problem Solving and Critical Thinking

## 1.1 Inductive and Deductive Reasoning

## Chapter 2: Set Theory

## 2.1 Basic Set Concepts

## 2.3 Venn Diagrams and Set Operations

## Chapter 4: Number Representation and Calculation

## 4.1 Our Hindu-Arabic System and Early Positional Systems

## Chapter 5: Number Theory and the Real Number System

## 5.1 Number Theory, Prime and Composite Numbers

## 5.2 Integers, Order of Operations

## 5.3 and 5.4 Rational Numbers, Irrational Numbers

## 5.5 Real Numbers and Their Properties

## 5.6 Exponents and Scientific Notation

## 5.7 Arithmetic and Geometric Sequences

## Chapter 6: Algebra Equations and Inequalities

## 6.1 Algebraic Expressions and Formulas

## 6.2 Linear Equations in One Variable and Proportions

## 6.3 Applications of Linear Equations

## 6.4 Linear Inequalities in One Variable

## 6.5 Quadratic Equations

## Chapter 7: Graphs, Functions, and Linear Systems

## 7.1 Graphing and Functions

## 7.2 Linear Functions and Their Graphs

## 7.3 Systems of Linear Equations in Two Variables

## 7.4 Linear Inequalities in Two Variables

## 7.5 Linear Programming

## 7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions

## Chapter 8: Consumer Math and Finance

## 8.1 Percent, Sales Tax, and Income Tax

## 8.2 Simple Interest

## 8.3 Compound Interest

## 8.4 Annuities, Stocks, and Bonds

## 8.5 Installment Loans, Amortization, and Credit Cards

## Chapter 9: Measurement

## 9.1 Measuring Length; The Metric System

## 9.2 Measuring Area and Volume and 9.3 Measuring Weight and Temperature

Area

Intro to Distance, Weight/Mass, & Volume: Metric Units

Intro to Distance, Weight, and Fluid Volume: U.S. Units

Fahrenheit and Celsius Conversion

Intro to Distance, Weight/Mass, & Volume: Metric Units

Intro to Distance, Weight, and Fluid Volume: U.S. Units

Fahrenheit and Celsius Conversion

## Chapter 10: Geometry

## 10.1 Points, Lines, Planes, and Angles

## 10.2 Triangles and 10.3 Polygons, Perimeter, and Tessellations

## 10.4 Area and Circumference

## 10.5 Volume

## 10.6 Right Triangle Trigonometry

## Chapter 11: Counting Methods and Probability Theory

## 11.1 The Fundamental Counting Principle

## 11.2 Permutations

## 11.3 Combinations

## 11.4 Fundamentals of Probability

## 11.8 Expected Value

## Chapter 12: Statistics

## 12.1 Sampling, Frequency Distributions, and Graphs

## 12.2 Measures of Central Tendency

## 12.3 Measures of Dispersion

## 12.4 The Normal Distribution

## 12.6 Scatter Plots, Correlation, and Regression Lines

**Prepared by Jeffrey Swigart**