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.
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