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Professor Charlotte Vilkus is Educator’s SAT Mathematics course instructor and will teach you all of her tips and tricks to earn the highest score possible. Charlotte has worked with every major SAT prep book in her tutoring career and has boiled down SAT Mathematics to its most basic points. Charlotte reviews math concepts and then goes through tons of practice with problems that you will likely see on the exam. The course jumps right into action with an overview of Basic Math, Geometry, Advanced Algebra, and ends with Probability and Statistics. Along the way Charlotte introduces test-taking tips to earn the highest score possible. Professor Vilkus obtained her BA in Civil Engineering with a minor in Mathematics from Loyola Marymount University.

Table of Contents

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I. Basic Math

  SAT Properties of Integers 6:40
   Intro 0:00 
   How Properties of Integers are Tested 0:12 
   Learn by Example: Prime Factors 4:38 
  Fractions on the SAT 8:50
   Intro 0:00 
   How Fractions are Tested on the SAT 0:11 
   Learn by Example: Evaluation with Fractions 3:16 
   Learn by Example: Word Problem with Fractions 6:32 
  Percent on the SAT 22:16
   Intro 0:00 
   How the SAT Tests Percent 0:10 
   Percent Increase and Decrease 3:24 
   Percent More Than, Percent Less Than 7:53 
   Learn by Example: Percent Translation 9:29 
   Learn by Example: Percent More Than 13:38 
   Learn by Example: Dealing with Tax and Tip 16:31 
  Number Lines on the SAT 8:31
   Intro 0:00 
   How Number Lines are Tested on the SAT 0:08 
   How to Solve SAT Number Line Problems 0:54 
   Learn by Example: Number Line Coordinates 4:52 
   Learn by Example: Representing and Inequality with a Number Line 6:33 
  Exponents on the SAT 9:32
   Intro 0:00 
   How Exponents are Tested on the SAT 0:09 
    Consider Plugging in on Exponent Problems 0:21 
   Learn by Example: Exponents in Simultaneous Equations 1:03 
   Learn by Example: Exponent Analysis 6:15 
  Absolute Value on the SAT 12:36
   Intro 0:00 
   How Absolute Value is Tested on the SAT 0:11 
   Learn by Example: Absolute Value 3:07 
   Learn by Example: Absolute Value and Inequalities 7:09 

II. Proportions, Rates and Variations

  Proportions on the SAT 11:15
   Intro 0:00 
   How Proportions are Tested on the SAT 0:11 
   Learn by Example: Map Scaling 2:07 
   Learn by Example: Medium to Hard Unit Conversion 4:40 
   Learn by Example: Where the SAT Really Tries to Trip You Up on Units 8:24 
  Rates on the SAT 12:39
   Intro 0:00 
   How Rates are Tested on the SAT 0:12 
   Learn by Example: Videos Processed per Hour 2:50 
   Learn by Example: Multiple Rates 7:27 
  Variations on the SAT 7:59
   Intro 0:00 
   How Variations are Tested on the SAT 0:13 
   Learn by Example: Direct Variation 2:22 
   Learn by Example: Variations 4:12 
   Learn by Example: Inverse Variation 7:04 

III. Geometry

  Area and Perimeter on the SAT 16:59
   Intro 0:00 
   SAT Problems on Area and Perimeter 0:11 
   Learn by Example: Perimeter of a Quarter Circle 2:50 
   Learn by Example: Area of the Unshaded Region 4:26 
   Learn by Example: Perimeter of a Square Inscribed in a Circle 10:03 
   Learn by Example: Using Pythagorean to Get Side Lengths 13:23 
  Angles on the SAT 12:11
   Intro 0:00 
   How Angles are Tested on the SAT 0:11 
   What You Need to Know About Angles 1:13 
   Lean by Example: Angles (1) 2:48 
   Lean by Example: Angles (2) 5:45 
  Triangles on the SAT 15:25
   Intro 0:00 
   What Sort of Triangles Will I see on the SAT? 0:11 
   Learn by Example: Triangle Basics 5:09 
   Learn by Example: Special Triangles 10:14 
   Learn by Example: Triangles with other Shapes 12:12 
  Quadrilaterals on the SAT 13:34
   Intro 0:00 
   How Quadrilaterals are Tested on the SAT 0:12 
   Learn by Example: Squares 1:50 
   Learn by Example: Rectangle with Triangles 6:29 
   Learn by Example: Angles in a Quadrilateral Problem 11:17 
  Circles on the SAT 16:40
   Intro 0:00 
   How Circles are Tested on the SAT 0:11 
    But Don't Bother with Any of This 1:40 
    How to Deal with Sections of a Circle 1:55 
    College Board Expects Mistakes Here 4:04 
    Circumference=Perimeter 4:47 
   Learn by Example: How Circle Problems Are Presented 5:18 
    Three Tangential Circles 5:48 
   Learn by Example: Concentric Circles 8:56 
   Learn by Example: Shaded Area with Combination Circles and Squares 11:53 

IV. Graphing

  SAT Coordinate Geometry 14:38
   Intro 0:00 
   How the SAT Test Coordinate Geometry 0:17 
   Learn by Example: Midpoint and Distance 3:08 
    Distance Example: the Length of the Square 5:39 
   Example: Figures in the Coordinate Plane 9:34 
  SAT Translation 10:06
   Intro 0:00 
   How the SAT Tests Graph Translation 0:11 
   Shifting the Graph in the Y: f(x)+a 1:01 
   Shifting the Graph in the X: f(x+a) 1:50 
   Multiplying the Graph af(x) 2:59 
   Multiplying the Graph f(ax) 5:07 
   How the SAT Tests Rotations and Reflections 6:19 
   Learn by Example: Rotations and Reflections 7:52 
  Lines on the SAT 6:15
   Intro 0:00 
   How Lines are Tested on the SAT 0:09 
   Learn by Example: Finding the Intercept 1:48 
   Learn by Example: Perpendicular Lines 3:42 
  Line Slope on the SAT 10:46
   Intro 0:00 
   How Line Slope is Tested on the SAT 0:10 
    Definition of Slope 0:25 
    Slope Equation 1:12 
    Classifying Slopes: Steep, Flat, Negative 1:50 
    Determining the Slope in Problems 3:41 
   Learn by Example: Line Slope (I) 4:43 
   Learn by Example: Line Slope (2) 8:04 

V. Advanced Algebra

  SAT Quadratic Equations 6:46
   Intro 0:00 
   How the SAT Tests Quadratic Equations 0:11 
   Required Knowledge for Quadratic Equations 2:52 
   Learn by Example: Quadratic Equations 5:02 
  Expressions on the SAT 10:20
   Intro 0:00 
   How Expression are Tested on the SAT 0:10 
   Learn by Example: Expression Evaluation--Signed Numbers and Exponents 1:17 
   Learn by Example: Expression Evaluation of Arithmetic Overload 6:16 
  Systems of Equations 28:57
   Intro 0:00 
   The Basics: Systems of Equations 0:19 
    Equations with Infinite Solutions 0:44 
    Number of Equations Should Match the Number of Unknowns 2:41 
   Manipulation and Combination 4:34 
   Manipulation and Combination: Really? 7:23 
   Manipulation and Combination: Coefficients 10:41 
   Manipulation and Combination: Steps 13:50 
   Substitution 15:49 
   Which Method Should Be Used? 20:13 
   Oh No, Three Equations? 22:58 
   Three Equation Example 24:22 
  Inequalities on the SAT 13:08
   Intro 0:00 
   How Inequalities are Tested on the SAT 0:11 
   What to Know: Inequalities 3:12 
   Learn by Example: Solving an Inequality for a Variable 7:12 
   Learn by Example: Inequalities with Parameters 9:02 
  Special Functions on the SAT 8:16
   Intro 0:00 
   'Special Functions' on the SAT 0:09 
    Treating Special Functions like General Function Evaluation *Same Idea (Implies) 1:24 
   Learn by Example: Special Functions (1) 3:40 
   Learn by Example Special Functions: (2) 4:40 

V. Statistics, Combinations and Probability

  Averages on the SAT 10:20
   Intro 0:00 
   How Averages are Tested on the SAT 0:10 
    Important Quantities: Average, Sum and Number of Values 0:36 
    Rearranging the Average Equation to be of Maximum Use 1:36 
   Learn by Example: Averages (1) 3:16 
   Learn by Example: Averages (2) 7:17 
  Median and Mode on the SAT 8:31
   Intro 0:00 
   How the SAT Test Median and Mode 0:32 
   Learn by Example: Using a Table to find the Median 1:46 
   Learn by Example: Finding the Median with an Unknown 4:41 
   Learn by Example: Mode 6:35 
  Data Analysis on the SAT 18:00
   Intro 0:00 
   How Data Analysis is Tested on the SAT 0:11 
   Tables 1:16 
   Using Table Totals 2:08 
   Pie Charts 3:50 
   Pie Charts Examples 5:56 
   Creating Pie Charts 7:00 
   Bar Graphs 9:35 
   Comparing Pie Charts and Bar Graphs 11:22 
   Scatter Plot Graphs 12:45 
   Example of a Scatter Plot 13:48 
   Line Graphs 15:12 
   Line Chart Example 15:32 
  Probability on the SAT 9:37
   Introduction 0:00 
   How the SAT Tests Probability 0:10 
    Probability Definition 0:54 
    Probability of A or B occurring 1:56 
    Probability of A and B both occurring 3:16 
   Learn by Example: Probability (1) 4:12 
   Learn by Example: Probability (2) 6:07 
  Combinations and Permutations on the SAT 10:10
   Intro 0:00 
   How Combinations and Permutations are Tested on the SAT 0:14 
    Using 'Blank Space' Representors 1:32 
   Learn by Example: Combinations 2:44 
    Writing Out the Possibilities 3:53 
   Learn by Example: Permutations 5:14 
    Writing Out the Possibilities 7:04 
  Logical Reasoning on the SAT 9:18
   Intro 0:00 
   How Logical Reasoning is Tested on the SAT 0:11 
   Learn by Example: Logic Questions and Using Differences 0:54 
   Learn by Example: Logic Questions with Inequalities 5:32 

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