I. Basic Math 

Signed Numbers 
18:58 
 
Intro 
00:00  
 
The Basics: Signed Numbers 
00:13  
 
 How to Think of Negative Numbers 
00:39  
 
 Signed Numbers on the Number Line 
02:16  
 
Signed Numbers: Addition and Subtraction 
03:07  
 
Subtracting a Negative 
08:35  
 
 The Loss of a Negative is the Addition of a Positive 
08:43  
 
 Flip the sign! 
11:16  
 
Addition and Subtraction Examples 
12:19  
 
Signed Numbers: Multiplication and Division 
13:45  
 
 Quick Rules 
15:08  
 
Multiplication and Division Examples 
17:02  
I. Basic Algebra 

Exponents and Roots 
24:44 
 
Intro 
00:00  
 
The Basics: Exponents 
00:09  
 
 Base and Exponent 
00:42  
 
 Squared Terms 
01:23  
 
 Cubed Terms 
02:26  
 
Exponent Rules 
03:40  
 
 Multiplying Terms with the Same Base 
05:51  
 
 Dividing Terms with the Same Base 
06:48  
 
 Exponent Term Raised to a Power 
08:32  
 
 Product of Different Bases to the Same Power 
10:14  
 
 Quotient of Different Bases to the Same Power 
11:57  
 
The Basics: Radicals 
17:24  
 
 Square Roots 
19:39  

Divisibility 
16:45 
 
Intro 
00:00  
 
The Basics: Divisibility 
00:12  
 
Divisibility Tricks 
03:07  
 
 The Rules 
03:44  
 
 Examples of Quickly Determing what a Number is Divisibly by 
09:44  

Prime Factorization 
10:01 
 
Intro 
00:00  
 
Prime Numbers and Prime Factorization 
00:22  
 
How to: Prime Factorization 
02:27  
 
Bigger Divisors 
05:10  
 
 Finding all Factors of 28 and 210 
05:52  

Powers of 10 
8:56 
 
Intro 
00:00  
 
The Basics: Powers of 10 
00:15  
 
Multiplying and Dividing by Powers of 10 
02:59  
 
 Dealing with Multiplication 
03:37  
 
 Dealing with Division 
05:16  
 
 Example Set 
06:05  

Fractions 
12:50 
 
Intro 
00:00  
 
The Basics: Fractions 
00:09  
 
 Fractions as Part of a Whole 
00:46  
 
 Equivalent Fractions 
01:10  
 
Fractions: Addition and Subtraction 
04:11  
 
 Finding the Common Denominator 
05:25  
 
Fractions: Multiplication and Division 
07:27  
 
 Division: Multiplying the Reciprocal (Flip It) 
08:53  
 
Fractions: Comparing Fractions 
10:36  
 
 Determining the relationship between fractions 
11:54  

Algebraic Expression 
17:39 
 
Intro 
00:00  
 
The Basics: Algebraic Expressions 
00:11  
 
Algebraic Expression Definitions 
01:54  
 
Simplifying Algebraic Expressions 
05:12  
 
 Identifying Like Terms 
05:23  
 
 Using Coefficients to Add and Subtract Like Terms 
06:14  
 
Combining Like Terms 
08:00  
 
Multiplication of Algebraic Expressions 
09:24  
 
 Multiplying Two Terms: Coefficients and Variables 
09:38  
 
 Combining Like Variables in Multiplication 
10:15  
 
 Multiplying Expressions by a Term 
12:08  
 
 Example 1: Multiplying Out and Simplifying 
13:45  
 
 Example 2: Multiplying Out and Simplifying 
15:18  

Equations 
6:07 
 
Intro 
00:00  
 
The Basics: Equations 
00:10  
 
 Valid Operations on an Equation 
00:26  
 
 Isolate the Variable 
03:24  

Function Evaluation 
10:50 
 
Intro 
00:00  
 
The Basics: Function Evaluation 
00:10  
 
 Function Definition and Notation 
02:23  
 
 Function Evaluation Examples 
04:55  
 
Function Evaluation Mistakes to Avoid 
08:47  
 
Evaluation of Multiple Functions 
09:20  
II. Geometric Concepts 

Geometric Terms and Notation 
8:36 
 
Intro 
00:00  
 
The Basics: Geometric Terms and Notation 
00:15  
 
Geometric Notation 
06:01  

Angles 
18:46 
 
Intro 
00:00  
 
The Basics: Angles 
00:09  
 
Classifying Angles 
01:40  
 
 Acute Angles 
01:55  
 
 Right Angles 
02:21  
 
 Obtuse Angles 
02:54  
 
 Straight Angles 
03:46  
 
Angle Relationships 
04:13  
 
 Complementary Angles 
04:28  
 
 Supplementary Angles 
05:25  
 
 Bisected Angles 
06:20  
 
Angles at Intersections 
07:14  
 
Parallel Lines and Angles 
09:50  
 
 Drawing Two Intersections to Determine Equal Angles 
10:31  
 
 Angle Rules 
11:20  
 
Shapes and Angles 
14:48  
 
 Angles in a Triangle 
15:23  
 
 Angles in a Quadrilateral 
15:40  
 
 Determining the Number of Angles is Larger Shapes 
16:58  

Triangles 
21:25 
 
Intro 
00:00  
 
Triangle Basics 
00:12  
 
Special Triangles: Isosceles and Equilateral 
05:29  
 
Special Triangles: Right Triangles 
11:33  
 
Special Triangles: 45, 45, 90 Triangles 
18:49  

Circles 
16:34 
 
Intro 
00:00  
 
The Basics: Parts of the Circle 
00:11  
 
 The Diameter 
01:04  
 
 The Radius 
02:08  
 
Arcs and Sectors 
03:41  
 
 Arc 
03:47  
 
 Sector 
06:41  
 
 Using Fractional Weights 
07:32  
 
Tangent and Concentric 
08:39  
 
 Lines that are Tangent to Circles 
08:47  
 
 Tangent Circles 
10:02  
 
 Concentric Circles 
11:02  
 
Angles in a Circle 
11:55  
 
 Half Circles and Quarter Circles 
12:19  
 
 Proportional Areas and Circumferences for Circle Parts 
13:29  
 
Inscribed angles 
14:37  

Volume and Surface Area 
10:53 
 
Intro 
00:00  
 
The Basics: Volume 
00:17  
 
Volume Equations 
01:52  
 
 Equation for the Volume of a Cube 
02:30  
 
 Equation for the Volume of a Cylinder 
03:26  
 
 Finding other Volumes 
04:14  
 
The Basics: Surface Area 
05:26  
 
 Surface Area of a Cube 
06:30  
 
 Surface Area of a Cylinder 
08:15  
III. Advanced Algebra 

Foil 
11:02 
 
Intro 
00:00  
 
The Basics: Foil 
00:16  
 
Foil Examples 
02:34  
 
Skip Foil: Memorize These 
06:22  

Factoring 
28:35 
 
Intro 
00:00  
 
The Basics: Factoring 
00:12  
 
Factoring: Pull out the GCF 
01:07  
 
 Example of Pulling Out the Greatest Common Factor 
03:41  
 
Factoring: Difference of Squares 
05:30  
 
 Examples with Difference of Squares Factorizations 
06:16  
 
Factoring: General Quadratic Equations 
09:35  
 
 Zooming in on C 
10:12  
 
Factoring Given Quadratic Equations 
12:30  
 
Factoring: Special Quadratic Expressions 
17:39  
 
 How to Decide if You Need a + or  
19:37  
 
Using Factoring in Rational Expressions 
21:43  
 
 Steps: Take out the GCF, Factor, and Cancel 
22:15  
 
Factoring in Rational Expressions: Examples 
23:48  

Systems of Equations 
28:57 
 
Intro 
00:00  
 
The Basics: Systems of Equations 
00:19  
 
 Equations with Infinite Solutions 
00:44  
 
 Number of Equations Should Match the Number of Unknowns 
02:41  
 
Why Manipulation and Combination is Often the Best Method 
04:34  
 
Why Addition and Subtraction of Equations is Valid 
07:23  
 
The Most Important StepThe Common Coefficient 
10:41  
 
Manipulation and Combination: Steps 
13:50  
 
Substitution 
15:49  
 
Which Method Should Be Used? 
20:13  
 
How to Solve Problems with Three Equations and Three Unkowns 
22:58  
 
Three Equation Example 
24:22  

Distance Between Two Points 
11:55 
 
Intro 
00:00  
 
The Basics: Finding the Distance 
00:13  
 
 Breaking Apart X and Y Cooridinates 
00:48  
 
 Using Pythagorean Theorom 
02:53  
 
The Distance Formula 
04:26  
 
 Example 1: Plugging into the Formula 
06:18  
 
 Example 2: Using the Given Length to Find a Missing Coordinate 
08:20  

Intercepts 
6:32 
 
Intro 
00:00  
 
The Basics: Intercepts 
00:11  
 
 The xintercept 
00:43  
 
 The yintercept 
01:44  
 
Determing the Intercepts 
03:05  
 
 The Special Case: b 
04:37  
IV. Statistics 

Average 
13:28 
 
Intro 
00:00  
 
The Basics: Averages 
00:11  
 
Finding the Average 
02:26  
 
 Rearraning the Average Equation 
02:59  
 
Average Examples 
03:48  
 
 Finding the Missing Value 
04:32  
 
The Basics: Weighted Averages 
06:25  
 
 Fractional Weight Method 
06:54  
 
 Sum and Retake Method 
07:48  
 
Weighted Average Examples 
08:30  
 
 Example Using the Sum and Retake Method 
10:50  

Median, Mode and Range 
10:08 
 
Intro 
00:00  
 
The Basics: Median 
00:23  
 
 How to Find the Median 
01:01  
 
 Quick Median Examples 
01:23  
 
The Basics: Mode 
05:10  
 
 How to Find the Mode 
05:16  
 
 Quick Mode Examples 
05:28  
 
The Basics: Range 
07:20  
 
 How to Find the Range 
08:06  
 
 Quick Range Example 
08:28  
V. The Rest 

Rates 
17:49 
 
Intro 
00:00  
 
The Basics: Rates 
00:11  
 
 Using Units in Rate Problems 
01:18  
 
 The Classic Rate Problems, d=rt 
02:13  
 
Dealing with Time in Rates 
02:47  
 
 Changing Minutes to Seconds and Vice Versa 
03:40  
 
 Changing Hours to Minutes and Vice Versa 
04:41  
 
 The Big One: Seconds to Hours 
05:19  
 
Combining Multiple Rates 
06:31  
 
 Which Questions to Ask 
07:14  
 
 Set Up Two Equations 
08:59  
 
Solving Rates 
09:32  
 
 Quick Example: Using d=rt 
10:03  
 
Solving Multiple Rates 
12:29  

Sequences 
10:00 
 
Intro 
00:00  
 
The Basics: Sequences 
00:11  
 
 When Sequences Are Just Patterns 
01:14  
 
Arithmetic Sequences 
02:24  
 
 Using the Arithmetic Sequence Equation 
03:11  
 
Geometric Sequences 
05:24  
 
 Using the Geometric Sequence Equation 
06:08  
 
 Geometric Series that Alternate Between Negative and Positive Elements 
08:02  

Sets 
10:21 
 
Intro 
00:00  
 
The Basics: Sets 
00:08  
 
 How to Represent Sets 
00:25  
 
 The Union of SetsJoining the Two Together 
01:33  
 
 The Intersection of SetsWhere the Two Meet, What they Share 
02:25  
 
Sets: Intersection and Union 
03:56  
 
Venn Diagrams 
06:21  
 
 Representing Two Sets 
06:27  
 
 Representing the Union 
07:17  
 
 Representing the Intersection 
07:55  
 
 Box in Numbers Outside of the Set 
08:16  

Probability 
8:52 
 
Intro 
00:00  
 
The Basics Probability 
00:10  
 
 The Scale of Probability 
00:34  
 
 How to Calculate Probability 
01:42  
 
How to Solve Probability Problems 
02:52  
 
A Probability Example 
04:51  

Combinations and Permutations 
7:22 
 
Intro 
00:00  
 
The Basics: Combinations 
00:11  
 
Combination Equation 
01:49  
 
The Basics: Permutations 
04:16  
 
Permutation Equation 
06:18  