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Table of Contents
I. Basic Math
Signed Numbers
18m 58s
 Intro0:00
 The Basics: Signed Numbers0:13
 How to Think of Negative Numbers0:39
 Signed Numbers on the Number Line2:16
 Signed Numbers: Addition and Subtraction3:07
 Subtracting a Negative8:35
 The Loss of a Negative is the Addition of a Positive8:43
 Flip the sign!11:16
 Addition and Subtraction Examples12:19
 Signed Numbers: Multiplication and Division13:45
 Quick Rules15:08
 Multiplication and Division Examples17:02
I. Basic Algebra
Exponents and Roots
24m 44s
 Intro0:00
 The Basics: Exponents0:09
 Base and Exponent0:42
 Squared Terms1:23
 Cubed Terms2:26
 Exponent Rules3:40
 Multiplying Terms with the Same Base5:51
 Dividing Terms with the Same Base6:48
 Exponent Term Raised to a Power8:32
 Product of Different Bases to the Same Power10:14
 Quotient of Different Bases to the Same Power11:57
 The Basics: Radicals17:24
 Square Roots19:39
Divisibility
16m 45s
 Intro0:00
 The Basics: Divisibility0:12
 Divisibility Tricks3:07
 The Rules3:44
 Examples of Quickly Determing what a Number is Divisibly by9:44
Prime Factorization
10m 1s
 Intro0:00
 Prime Numbers and Prime Factorization0:22
 How to: Prime Factorization2:27
 Bigger Divisors5:10
 Finding all Factors of 28 and 2105:52
Powers of 10
8m 56s
 Intro0:00
 The Basics: Powers of 100:15
 Multiplying and Dividing by Powers of 102:59
 Dealing with Multiplication3:37
 Dealing with Division5:16
 Example Set6:05
Fractions
12m 50s
 Intro0:00
 The Basics: Fractions0:09
 Fractions as Part of a Whole0:46
 Equivalent Fractions1:10
 Fractions: Addition and Subtraction4:11
 Finding the Common Denominator5:25
 Fractions: Multiplication and Division7:27
 Division: Multiplying the Reciprocal (Flip It)8:53
 Fractions: Comparing Fractions10:36
 Determining the relationship between fractions11:54
Algebraic Expression
17m 39s
 Intro0:00
 The Basics: Algebraic Expressions0:11
 Algebraic Expression Definitions1:54
 Simplifying Algebraic Expressions5:12
 Identifying Like Terms5:23
 Using Coefficients to Add and Subtract Like Terms6:14
 Combining Like Terms8:00
 Multiplication of Algebraic Expressions9:24
 Multiplying Two Terms: Coefficients and Variables9:38
 Combining Like Variables in Multiplication10:15
 Multiplying Expressions by a Term12:08
 Example 1: Multiplying Out and Simplifying13:45
 Example 2: Multiplying Out and Simplifying15:18
Equations
6m 7s
 Intro0:00
 The Basics: Equations0:10
 Valid Operations on an Equation0:26
 Isolate the Variable3:24
Function Evaluation
10m 50s
 Intro0:00
 The Basics: Function Evaluation0:10
 Function Definition and Notation2:23
 Function Evaluation Examples4:55
 Function Evaluation Mistakes to Avoid8:47
 Evaluation of Multiple Functions9:20
II. Geometric Concepts
Geometric Terms and Notation
8m 36s
 Intro0:00
 The Basics: Geometric Terms and Notation0:15
 Geometric Notation6:01
Angles
18m 46s
 Intro0:00
 The Basics: Angles0:09
 Classifying Angles1:40
 Acute Angles1:55
 Right Angles2:21
 Obtuse Angles2:54
 Straight Angles3:46
 Angle Relationships4:13
 Complementary Angles4:28
 Supplementary Angles5:25
 Bisected Angles6:20
 Angles at Intersections7:14
 Parallel Lines and Angles9:50
 Drawing Two Intersections to Determine Equal Angles10:31
 Angle Rules11:20
 Shapes and Angles14:48
 Angles in a Triangle15:23
 Angles in a Quadrilateral15:40
 Determining the Number of Angles is Larger Shapes16:58
Triangles
21m 25s
 Intro0:00
 Triangle Basics0:12
 Special Triangles: Isosceles and Equilateral5:29
 Special Triangles: Right Triangles11:33
 Special Triangles: 45, 45, 90 Triangles18:49
Circles
16m 34s
 Intro0:00
 The Basics: Parts of the Circle0:11
 The Diameter1:04
 The Radius2:08
 Arcs and Sectors3:41
 Arc3:47
 Sector6:41
 Using Fractional Weights7:32
 Tangent and Concentric8:39
 Lines that are Tangent to Circles8:47
 Tangent Circles10:02
 Concentric Circles11:02
 Angles in a Circle11:55
 Half Circles and Quarter Circles12:19
 Proportional Areas and Circumferences for Circle Parts13:29
 Inscribed angles14:37
Volume and Surface Area
10m 53s
 Intro0:00
 The Basics: Volume0:17
 Volume Equations1:52
 Equation for the Volume of a Cube2:30
 Equation for the Volume of a Cylinder3:26
 Finding other Volumes4:14
 The Basics: Surface Area5:26
 Surface Area of a Cube6:30
 Surface Area of a Cylinder8:15
III. Advanced Algebra
Foil
11m 2s
 Intro0:00
 The Basics: Foil0:16
 Foil Examples2:34
 Skip Foil: Memorize These6:22
Factoring
28m 35s
 Intro0:00
 The Basics: Factoring0:12
 Factoring: Pull out the GCF1:07
 Example of Pulling Out the Greatest Common Factor3:41
 Factoring: Difference of Squares5:30
 Examples with Difference of Squares Factorizations6:16
 Factoring: General Quadratic Equations9:35
 Zooming in on C10:12
 Factoring Given Quadratic Equations12:30
 Factoring: Special Quadratic Expressions17:39
 How to Decide if You Need a + or 19:37
 Using Factoring in Rational Expressions21:43
 Steps: Take out the GCF, Factor, and Cancel22:15
 Factoring in Rational Expressions: Examples23:48
Systems of Equations
28m 57s
 Intro0:00
 The Basics: Systems of Equations0:19
 Equations with Infinite Solutions0:44
 Number of Equations Should Match the Number of Unknowns2:41
 Why Manipulation and Combination is Often the Best Method4:34
 Why Addition and Subtraction of Equations is Valid7:23
 The Most Important StepThe Common Coefficient10:41
 Manipulation and Combination: Steps13:50
 Substitution15:49
 Which Method Should Be Used?20:13
 How to Solve Problems with Three Equations and Three Unkowns22:58
 Three Equation Example24:22
Distance Between Two Points
11m 55s
 Intro0:00
 The Basics: Finding the Distance0:13
 Breaking Apart X and Y Cooridinates0:48
 Using Pythagorean Theorom2:53
 The Distance Formula4:26
 Example 1: Plugging into the Formula6:18
 Example 2: Using the Given Length to Find a Missing Coordinate8:20
Intercepts
6m 32s
 Intro0:00
 The Basics: Intercepts0:11
 The xintercept0:43
 The yintercept1:44
 Determing the Intercepts3:05
 The Special Case: b4:37
IV. Statistics
Average
13m 28s
 Intro0:00
 The Basics: Averages0:11
 Finding the Average2:26
 Rearraning the Average Equation2:59
 Average Examples3:48
 Finding the Missing Value4:32
 The Basics: Weighted Averages6:25
 Fractional Weight Method6:54
 Sum and Retake Method7:48
 Weighted Average Examples8:30
 Example Using the Sum and Retake Method10:50
Median, Mode and Range
10m 8s
 Intro0:00
 The Basics: Median0:23
 How to Find the Median1:01
 Quick Median Examples1:23
 The Basics: Mode5:10
 How to Find the Mode5:16
 Quick Mode Examples5:28
 The Basics: Range7:20
 How to Find the Range8:06
 Quick Range Example8:28
V. The Rest
Rates
17m 49s
 Intro0:00
 The Basics: Rates0:11
 Using Units in Rate Problems1:18
 The Classic Rate Problems, d=rt2:13
 Dealing with Time in Rates2:47
 Changing Minutes to Seconds and Vice Versa3:40
 Changing Hours to Minutes and Vice Versa4:41
 The Big One: Seconds to Hours5:19
 Combining Multiple Rates6:31
 Which Questions to Ask7:14
 Set Up Two Equations8:59
 Solving Rates9:32
 Quick Example: Using d=rt10:03
 Solving Multiple Rates12:29
Sequences
10m
 Intro0:00
 The Basics: Sequences0:11
 When Sequences Are Just Patterns1:14
 Arithmetic Sequences2:24
 Using the Arithmetic Sequence Equation3:11
 Geometric Sequences5:24
 Using the Geometric Sequence Equation6:08
 Geometric Series that Alternate Between Negative and Positive Elements8:02
Sets
10m 21s
 Intro0:00
 The Basics: Sets0:08
 How to Represent Sets0:25
 The Union of SetsJoining the Two Together1:33
 The Intersection of SetsWhere the Two Meet, What they Share2:25
 Sets: Intersection and Union3:56
 Venn Diagrams6:21
 Representing Two Sets6:27
 Representing the Union7:17
 Representing the Intersection7:55
 Box in Numbers Outside of the Set8:16
Probability
8m 52s
 Intro0:00
 The Basics Probability0:10
 The Scale of Probability0:34
 How to Calculate Probability1:42
 How to Solve Probability Problems2:52
 A Probability Example4:51
Combinations and Permutations
7m 22s
 Intro0:00
 The Basics: Combinations0:11
 Combination Equation1:49
 The Basics: Permutations4:16
 Permutation Equation6:18
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