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GRE Math Scope & Sequence
CHAPTER 1: OPERATIONS ON WHOLE NUMBERS 
Unit 1: Operations on Whole Numbers 001: Addition
    002: Subtraction
    003: Multiplication
    004: Exponents
    005: Division
Unit 2: Order of Operations and Variables 006: Order of Operations
    007: Grouping Symbols
    008: Variables
Unit 3: Properties of Addition and Multiplication 009: Addition Properties
    010: Multiplication Properties
CHAPTER 2: INTEGERS AND EVALUATING EXPRESSIONS 
Unit 1: Introduction to Integers 011: Graphing and Writing Integers
    012: Comparing Integers
Unit 2: Operations with Integers 013: Addition and Subtraction
    014: Multiplication and Division
Unit 3: Order of Operations/Evaluation 015: Order of Operations
    016: Evaluation
    017: Integers
CHAPTER 3: UNDERSTANDING FRACTIONS 
Unit 1: Factors and Multiples 018: Divisibility Rules
    019: Factors and Primes
    020: Prime Factorization
    021: Multiples and Least Common Multiples
    022: Greatest Common Factor
Unit 2: Fractions and Mixed Numbers 023: Introduction to Fractions
    024: Equivalent Fractions (Part I)
    025: Lowest Terms
    026: Equivalent Fractions (Part II)
    027: Improper Fractions and Mixed Numbers
Unit 3: Comparing Fractions 028: Comparing Proper Fractions
    029: Comparing Mixed Numbers and Improper Fractions
Unit 4: Adding and Subtracting Fractions 030: Adding and Subtracting Like Fractions
    031: Adding and Subtracting Unlike Fractions
Unit 5: Multiplying and Dividing Fractions 032: Multiplying Fractions
    033: Dividing Fractions
Unit 6: Operations with Rational Numbers 034: Addition and Subtraction
    035: Multiplication and Division
    036: Order of Operations
    037: Evaluation
CHAPTER 4: DECIMALS 
Unit 1: Decimal Concepts 038: Understanding Decimals
    039: Converting Decimals to Fractions
    040: Converting Fractions to Decimals
Unit 2: Comparing and Rounding Decimals 041: Comparing Decimals
    042: Rounding Decimals
Unit 3: Addition and Subtraction 043: Estimating Sums and Differences
    044: Adding Decimals
    045: Subtracting Decimals
Unit 4: Multiplication and Division 046: Multiplying Decimals by Whole Numbers
    047: Multiplying Decimals by Decimals
    048: Dividing Decimals by Whole Numbers
    049: Dividing Decimals by Decimals
Unit 5: Scientific Notation 050: Powers of Ten
    051: Converting from Scientific to Standard Notation
    052: Converting from Standard to Scientific Notation
Unit 6: Decimals and Rational Numbers 053: Terminating and Repeating Decimals
    054: Determining if a Number is Rational or Irrational
CHAPTER 5: SIMPLIFYING EXPRESSIONS & SOLVING EQUATIONS 
Unit 1: Simplifying Algebraic Expressions 055: Recognizing Patterns
    056: Combining Like Terms
    057: Distributive Property
    058: Distributive / Like Terms
Unit 2: Solving One- and Two-Step Equations 059: One-Step Equations
    060: Two-Step Equations
    061: Equations with Fractions
Unit 3: Solving Multi-Step Equations 062: Equations Involving Distributive
    063: Variable on Both Sides
    064: Variable on Both Sides / Fractions
    065: Variable on Both Sides / Distributive
Unit 4: Equations with Fractions and Decimals 066: Integer Solutions
    067: Decimal Solutions
    068: Fractional Solutions
Unit 5: Literal Equations and Formulas 069: Beginning Formulas
    070: Advanced Formulas
CHAPTER 6: RATIO, PROPORTION, & PERCENT 
Unit 1: Ratios and Rates 071: Introduction to Ratios
    072: Equal Ratios
    073: Unit Rate
    074: Unit Price
Unit 2: Proportions 075: Introduction to Proportion
    076: Solving Proportions
    077: Word Problems
Unit 3: Percent, Decimals, and Fractions 078: Understanding Percents
    079: Fractions and Percents
    080: Decimals and Percents
Unit 4: Percent Problems 081: Percent Problems
    082: Percent Increase or Decrease
Unit 5: Applications of Percent 083: Discount
    084: Sales Tax
    085: Interest
CHAPTER 7: WORD PROBLEMS 
Unit 1: Beginning Word Problems 086: Number Problems
    087: Consecutive Integer Problems
    088: Geometry Problems
Unit 2: Age/Value/Interest Problems 089: Age Problems
    090: Value Problems
    091: Interest Problems
Unit 3: Mixture/Motion Problems 092: Mixture Problems
    093: Introductory Motion Problems
    094: Advanced Motion Problems
CHAPTER 8: INEQUALITIES AND ABSOLUTE VALUE 
Unit 1: Linear Inequalities in One Variable 095: Solving and Graphing Inequalities
    096: Combined Inequalities
    097: Advanced Inequality Problems
Unit 2: Absolute Value Equations & Inequalities 098: Absolute Value Equations
    099: Absolute Value Inequalities
CHAPTER 9: GRAPHING AND TRANSFORAMTIONS 
Unit 1: The Rectangular Coordinate System 100: The Coordinate Grid
Unit 2: Transformations 101: Transformations
    102: Reflections
    103: Translations
    104: Rotations
    105: Dilations
CHAPTER 10: FUNCTIONS AND GRAPHING 
Unit 1: Introduction to Functions 106: Domain and Range
    107: Definition of a Function
    108: Function and Arrow Notation
Unit 2: Graphing Functions 109: Graphing within a Given Domain
    110: Graphing Lines
    111: The Intercept Method
Unit 3: Linear Inequalities in Two Variables 112: Graphing Inequalities in Two Variables
CHAPTER 11: LINEAR EQUATIONS AND FUNCTIONS 
Unit 1: Patterns and Table Building 113: Patterns and Table Building
    114: Word Problems and Table Building
Unit 2: Slope and Rate of Change 115: Slope as a Rate of Change
    116: Using the Graph of a Line to Find Slope
    117: Using Slope to Graph a Line
    118: Using Coordinates to Find Slope
Unit 3: Slope Intercept Form and Graphs 119: Using Slope-Intercept Form to Graph a Line
    120: Converting to Slope-Intercept Form and Graphing
    121: Linear Parent Graph and Transformations
Unit 4: Writing Equations in Slope-Intercept Form 122: Using Graphs and Slope-Intercept Form
    123: Using Tables and Slope-Intercept Form
Unit 5: Direct Variation and Applications of Linear Equatio 124: Direct Variation
    125: Applications of Direct Variation and Linear Functions
Unit 6: Equations of Lines in Standard Form 126: Standard Form
    127: The Point-Slope Formula
    128: Given Two Points
    129: Parallel and Perpendicular
CHAPTER 12: SYSTEMS OF LINEAR EQUATIONS 
Unit 1: Solving Systems of Equations 130: By Graphing
    131: By Addition
    132: By Substitution
    133: Advanced Systems
Unit 2: Systems of Equations and Word Problems 134: Number and Value Problems
    135: Wind and Current Problems
CHAPTER 13: EXPONENTS AND POLYNOMIALS 
Unit 1: Exponent Rules 136: The Product Rule
    137: The Power Rule
    138: The Quotient Rule
Unit 2: Advanced Exponent Problems 139: Numerical Bases and Exponents of Zero
    140: Combining Exponent Rules
Unit 3: Multiplying Polynomials 141: The Distributive Property
    142: F.O.I.L.
    143: Advanced Problems
CHAPTER 14: FACTORING 
Unit 1: Greatest Common Factor 144: Rules for Finding the G.C.F.
    145: Factoring Out the G.C.F.
Unit 2: Factoring Special Polynomials 146: Special Trinomials with Positive Constant
    147: Special Trinomials with Negative Constant
    148: Difference of Two Squares
Unit 3: Factoring Trinomials 149: Coefficient on x2 Term, Positive Constant
    150: Coefficient on x2 Term, Negative Constant
Unit 4: Advanced Factoring 151: Factoring Out G.C.F. as First Step
    152: Basic Technique
    153: Factoring Difference of Two Squares as Last Step
Unit 5: Solving Polynomial Equations 154: Beginning Equations
    155: Intermediate Equations
    156: Advanced Equations
CHAPTER 15: RATIONAL EXPRESSIONS AND EQUATIONS 
Unit 1: Simplifying Rational Expressions 157: Simplifying Rational Expressions
    158: Multiplying and Dividing Rational Expressions
Unit 2: Advanced Rational Expressions 159: Adding Rational Expressions
    160: Subtracting Rational Expressions
    161: Complex Fractions
Unit 3: Rational Equations & Inverse Variation 162: Beginning Rational Equations
    163: Advanced Rational Equations
    164: Inverse Variation
CHAPTER 16: RADICAL EXPRESIONS AND EQUATIONS 
Unit 1: Simplifying Radical Expressions 165: Square Roots
    166: Simplifying Radicals
Unit 2: Multiplying and Dividing Radical Expressions 167: Multiplying Radicals
    168: Dividing Radicals
Unit 3: Advanced Radical Expressions 169: Addition and FOILing
    170: Advanced Division
Unit 4: Radical Equations 171: Beginning Equations
    172: Advanced Equations
CHAPTER 17: QUADRATIC EQUATIONS  
Unit 1: Quadratic Graphs and Transformations 173: Graphs of Quadratic Functions and Beginning Transformations
    174: Graphs of Quadratic Functions and Advanced Transformations
Unit 2: Completing the Square 175: Square Rooting Both Sides
    176: Beginning Completing The Square
    177: Advanced Completing The Square
Unit 3: The Quadratic Formula 178: Beginning Quadratic Formula
    179: Advanced Quadratic Formula
CHAPTER 18: IMAGINARY AND COMPLEX NUMBERS 
Unit 1: Imaginary Numbers 180: Beginning Imaginary Numbers
    181: Advanced Imaginary Numbers
Unit 2: Complex Numbers 182: Beginning Complex Numbers
    183: Advanced Complex Numbers
CHAPTER 19: QUADRATIC FUNCTIONS AND GRAPHING 
Unit 1: Vertex Form 184: Understanding y - k = a(x - h)2 Form
    185: Graphing Quadratic Equations in y - k = a(x - h)2 Form
    186: Writing Quadratic Equations in y - k = a(x - h)2 Form
Unit 2: Quadratic Functions 187: Graphing Quadratic Functions
    188: The Sum and Product of Roots Formula
    189: Writing Quadratic Functions
CHAPTER 20: INTRODUCTION TO GEOMETRY 
Unit 1: Segments and Length 190: Points, Lines, Planes, and Space
    191: Segments, Rays, and Length
    192: Segment Addition Postulate and Midpoint
Unit 2: Angles 193: Angles and Measure
    194: Angle Addition Postulate and Angle Bisector
Unit 3: Reasoning 195: Inductive vs. Deductive Reasoning
    196: Conditional Statements
Unit 4: Beginning Proofs 197: Properties
    198: Algebra Proofs with Properties
    199: Geometry Proofs with Midpoints and Angle Bisectors
CHAPTER 21: ANGLE PAIRS AND PERPENDICULAR LINES 
Unit 1: Angle Pairs 200: Complementary and Supplementary Angles (Part 1)
    201: Complementary and Supplementary Angles (Part 2)
    202: Vertical Angles
Unit 2: Perpendicular Lines 203: Problems Involving Perpendicular Lines
    204: Theorems Involving Perpendicular Lines
CHAPTER 22: PARALLEL LINES AND POLYGONS 
Unit 1: Parallel Lines 205: Vocabulary
    206: Given Lines are Parallel
    207: Proving Lines are Parallel
Unit 2: Angles of a Triangle 208: Vocabulary and Triangle Sum Theorem
    209: Algebra Problems
    210: Word Problems and Exterior Angle Theorem
Unit 3: Polygons 211: Vocabulary
    212: Sum of Interior and Exterior Angles
    213: Regular Polygons
CHAPTER 23: TRIANGLES AND CONGRUENCE 
Unit 1: Beginning Concepts 214: Congruent Figures
    215: Proving Triangles are Congruent by SSS, SAS, and ASA
Unit 2: Advanced Concepts 216: Isosceles Triangle Theorems
    217: Proving Triangles are Congruent by AAS and HL
    218: Medians, Altitudes, and Perpendicular Bisectors
CHAPTER 24: QUADRILATERALS 
Unit 1: Parallelograms 219: Properties of Parallelograms
    220: Proving a Quadrilateral is a Parallelogram
    221: More Parallel Line Theorems
Unit 2: Other Quadrilaterals 222: Rectangles, Rhombuses, and Squares
    223: Trapezoids
CHAPTER 25: SIMILARITY 
Unit 1: Ratio and Proportion 224: Ratio
    225: Proportion
Unit 2: Similar Polygons 226: Properties of Similar Polygons
    227: Angle-Angle Similarity Postulate
    228: Word Problems
Unit 3: Similarity Theorems 229: SSS and SAS Similarity Theorems
    230: Triangle Proportionality and Triangle Angle-Bisector Theorems
CHAPTER 26: RIGHT TRIANGLES 
Unit 1: Pythagorean Theorem 231: The Pythagorean Theorem
    232: Word Problems
    233: Converse of the Pythagorean Theorem
Unit 2: Special Right Triangles 234: 30-60-90 and 45-45-90 degree Triangles (Part I)
    235: 30-60-90 and 45-45-90 degree Triangles (Part II)
Unit 3: Right Triangle Trigonometry 236: Sine, Cosine, and Tangent (Part I)
    237: Sine, Cosine, and Tangent (Part II)
    238: Word Problems
CHAPTER 27: CIRCLES 
Unit 1: Vocabulary and Tangents 239: Vocabulary
    240: Tangents
Unit 2: Arcs, Central Angles, and Chords 241: Arcs and Central Angles
    242: Beginning Arcs and Chords
    243: Advanced Arcs and Chords
Unit 3: Angles and Segments 244: Inscribed Angles
    245: Angles Formed by Chords, Secants, and Tangents
Unit 4: Segment Lengths 246: Theorems and Beginning Problems
    247: Advanced Problems
CHAPTER 28: MEASUREMENT AND AREA 
Unit 1: Units of Measurement 248: Customary Unit Conversions
    249: Metric Unit Conversions
    250: Units of Measurement
Unit 2: Area of Rectangles, Squares, and Parallelograms 251: Area of Rectangles and Squares (Part I)
    252: Area of Rectangles and Squares (Part II)
    253: Area of Parallelograms
Unit 3: Area of Triangles, Rhombuses, and Trapezoids 254: Area of Triangles
    255: Area of Rhombuses
    256: Area of Trapezoids
Unit 4: Area of Polygons and Circles 257: Area of Regular Polygons
    258: Area and Circumference of Circles
CHAPTER 29: VOLUME & SURFACE AREA 
Unit 1: Prisms 259: Vocabulary, Formulas, and Right Rectangular Prisms
    260: Advanced Right Prisms
Unit 2: Pyramids 261: Vocabulary, Formulas, and Regular Square Pyramids
    262: Advanced Regular Pyramids
Unit 3: Cylinders, Cones, and Spheres 263: Cylinders and Cones
    264: Spheres
CHAPTER 30: DATA AND STATISTICS  
Unit 1: Common Graphs and Charts 265: Pictographs and Line Plots
    266: Bar Graphs
    267: Line Graphs
    268: Circle Graphs
Unit 2: Representing Data 269: Stem-and-Leaf Plots and Frequency Tables
    270: Histograms
    271: Scatterplots and Trends
Unit 3: Central Tendency 272: Range, Median, and Mode
    273: Box-and-Whisker Plots
    274: Mean
    275: Word Problems
Unit 4: Probability 276: Simple Probability
    277: Experimental Probability
    278: Probability of Independent Events
    279: Probability of Dependent Events
Unit 5: Counting Methods 280: Tree Diagrams and the Counting Principle
    281: Permutations
    282: Combinations

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