PSAT Math Prof. Charlotte Vilkus
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Level Upper Intermediate
26 Lessons (6hr : 08min)
6,814 already enrolled!
Audio: English

Most standardized exams require similar skills and test on similar types of problems, especially when it comes to the math sections. The GRE, ACT, and PSAT have more in common than you realize. Professor Charlotte Vilkus teaches Educator’s Standardized Math course specializing in the GRE/ACT/PSAT, and will show you all of her tricks and everything you need to know in order to get the highest score possible. In addition, Charlotte has worked with students across the most popular prep books for all the major exams. Using her experience, she creates an all-inclusive course which begins with a basic overview of math concepts, then covers the types of problems you should expect on test day, and finally guides you through the best ways to approach math questions on standardized tests. Professor Vilkus obtained her BA in civil engineering with a math minor from Loyola Marymount University.

Table of Contents
Course Details

Section 1: 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
Section 1: 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
Section 2: 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
Section 3: 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 Step--The 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 x-intercept	00:43
			The y-intercept	01:44
		Determing the Intercepts		03:05
			The Special Case: b	04:37
Section 4: 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
Section 5: 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 Sets--Joining the Two Together	01:33
			The Intersection of Sets--Where 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