# Course Calendars

## Course Syllabus

### Quantitative Reasoning I

Pre-GMAT Math Refresher (optional) Pre-GMAT Math Topics
• Order of Operations
• Arithmetic Review
• Fractions / Decimals / Percents
• Divisibility Rules
• Math Terminology
• Properties of 0 and 1
• Exponent & Root Theory
• Lines & Angles
• Geometry Formulae
Intro to GMAT Introduction to GMAT
• Current GMAT Exam Structure
• Next Generation GMAT Exam
• GMAT Scores (Absolute vs. Relative)
• Question Types vs. Topic Types
Introduction to CAT
• What is the GMAT CAT?
• How does the CAT work?
• Accuracy vs. Speed
• Time Management & Pacing
• Guessing Strategies
Problem Solving
(Algebra & Arithmetic)
Introduction to GMAT Math
• Ballparking
Introduction to Algebra & Arithmetic
• Algebra vs. Arithmetic
• Plugging In Standard Process
• Choosing Good Number Rules
• Applied Plugging In
• Plugging In the Answers (PITA)
• Applied Plugging In the Answers
Data Sufficiency Introduction to Data Sufficiency
• DS Standard Format
• DS Standard Process
• VALUE Data Sufficiency
Introduction to Value DS
• Value DS Standard Process
• DS Simultaneous Equations
• Equation Variable Inequality (EVI)
• Value DS Tricks & Traps
• Practice Value DS Questions
• YES/NO Data Sufficiency
Introduction to Yes/No DS
• Yes/No DS Standard Process
• Integers vs. Fractions
• Even vs. Odd
• Positive vs. Negative
• Equations vs. Inequalities
• Prime vs. Composite
• Consecutive vs. Non-Consecutive
• Factors vs. Multiples
• Practice Yes/No DS Questions
BONUS Math Class
• New GMAT Math Topics
• GMAT Exam Day Experience
• GMAT Math Q&A

### Quantitative Reasoning II

Word Problems
Percentage Change
• % Increase vs. Decrease
Profit & Discount
• Profit (%↑) vs. Discount (%↓)
Ratios & Mixtures
• 2-Item vs. 3-Item
• Single vs. Double
• Mixture Qs
Interest
• Simple vs. Compound vs. Hybrid
Rates & Work
• Individual vs. Combined vs. Hybrid
• Change in Units
• Rates vs. Work
• Average Rates
• Geometric Rates
• Population Qs
Functions
• Function Theory
• Mathematical f(x)
• Terms vs. Formulas vs. Symbols
• Algebraic Functions
Sequences
• Sequence Theory
• Single vs. Multi-Variable
‘Must Be’ Questions
• ‘Must Be’ Standard Process
• Regular ‘Must Be’ Qs
• CANNOT Qs
• Roman Numeral Qs
• Could Be Qs
Exponents & Roots Exponents & Roots
• Exponent & Root Rules
• Algebraic Exponents
• Common & Difficult Roots
• Factoring vs. FOIL Rule
• Difference of Squares
• Digits Terminology
• Scientific Notation
Inequalities & Absolute Value
• Flip-Sign Rule
• Absolute Value
Statistics Probability
• Individual vs. Multiple
• Dependent vs. Independent
• Success vs. Failure
Permutations & Combinations
• Difference Source
• Same Source – Order Matters
• Same Source – Order Doesn’t Matter
• Circular (Non-Linear) P&Cs
• Hybrid Permutations & Combinations
Factorials
• Factorials (!)
• Prime Factorization
Averages
• MMM & Range
• Simple vs. Weighted
Standard Deviation
• Standard Deviation Theory
• SD Standard Process
• Calculating vs. Applying SD
Set Notation
• Grouping Theory & Process
• Venn Diagrams
• Group Grids
• Group Equation
• 2-Group Qs
• 3-Group Qs

Geometry Lines & Angles
• Intersecting & Parallel Line Theorem
• Interior Angles (in Polygons)
Geometric Formulas & Shapes
• Perimeter, Area, Volume, Surface Area
• Squares, Rectangles, Circles, Triangles
• Overlapping Figures
Triangles
• Isosceles, Equilateral, Right Triangles
• Pythagorean Theorem & Triplets
• Impossible Triangle Rule
Circles
• Central Angle & Inscribed Angle Rule
Coordinate Geometry
• Slope, Intercepts, & Line Equations
3-Dimensional Geometry
• Cylinders & Cones

### Verbal Reasoning I

Pre-GMAT Verbal Refresher (optional) Parts of Speech
• Nouns
• Pronouns
• Verbs
• Prepositions
• Conjunctions
• Interjections
Parts of a Sentence
• Subject vs. Predicate
• Direct vs. Indirect Object
• Inverted Sentences
Intro to Verbal Introduction to Verbal
• Math vs. Verbal
• Verbal Standard Process
• Introduction to Sentence Correction
• SC Directions & Format
• SC Standard Process
• Grammar vs. Style
Sentence Correction Main Sentence Correction Errors
• Misplaced Modifier
• Pronouns
• Idioms
• Redundancy
• Parallel Construction
• Subject/Verb Agreement
• Past Tense
• Infinitive Tense
• Passive vs. Active Voice
• Subjunctive (Tense vs. Mood)
• Wordiness vs. Awkwardness
• ∆ in Meaning
Detailed Idiom Review
• As vs. Like
• Between vs. Among
• If vs. Whether
• Ability vs. Capability
• Quantity Words
Critical Reasoning Introduction to Argument Theory
• Argument Components (CPA)
• Common Argument Patterns
Introduction to Critical Reasoning
• CR Standard Format & Process
• CR Standard POE Reasons
Critical Reasoning Question Types
• Strengthen vs. Weaken
• Assumption
• Conclusion
• Flaw
• Evaluate vs. Completion
• Structure
• Inference
• EXCEPT Qs
• RC Standard Format
• RC Standard Process
Main RC Question Types
• Main Idea vs. Specific Qs
• Strengthen vs. Weaken
• Assumption
• Structure
• Inference
• Tone
• Extension
Integrated Reasoning / AWA NEW Integrated Reasoning Section
• Introduction to IR
• Multi-Source Reasoning
• Table Analysis
• Graphics Interpretation
• Two-Part Analysis
Introduction to Analytical Writing (AWA)
• AWA Standard Format
• AWA Standard Process
• Analysis of an Argument
• Argument Essay Template

## Course Syllabus

### GMAT Math Fundamentals – Montreal

Intro to GMAT Introduction to GMAT
• Current GMAT Exam Structure
• Next Generation GMAT Exam
• GMAT Scores (Absolute vs. Relative)
• Question Types vs. Topic Types
Introduction to CAT
• What is the GMAT CAT?
• How does the CAT work?
• Accuracy vs. Speed
• Time Management & Pacing
• Guessing Strategies
Algebra & Arithmetic Introduction to GMAT Math
• Ballparking
Algebra & Arithmetic
• Plugging In Standard Process
• Choosing Good Number Rules
• Plugging In the Answers (PITA)
• Remainder Theory
Geometry Lines & Angles
• Intersecting & Parallel Line Theorem
• Interior Angles (in Polygons)
Geometric Formulas & Shapes
• Perimeter, Area, Volume, Surface Area
• Squares, Rectangles, Circles, Triangles
• Overlapping Figures
Triangles
• Isosceles, Equilateral, Right Triangles
• Pythagorean Theorem & Triplets
• Impossible Triangle Rule
Circles
• Central Angle & Inscribed Angle Rule
Coordinate Geometry
• Slope, Intercepts, & Line Equations
3-Dimensional Geometry
• Cylinders & Cones
Data Sufficiency Introduction to Data Sufficiency
• DS Standard Format
• DS Standard Process
• DS Practice Questions

### GMAT Verbal Fundamentals – Montreal

Intro to Verbal Introduction to Verbal
• Math vs. Verbal
• Verbal Standard Process
Introduction to Sentence Correction
• SC Directions & Format
• SC Standard Process
• Grammar vs. Style
Sentence Correction Introduction to Sentence Correction
• SC Directions & Format
• SC Standard Process
• Grammar vs. Style
• Misplaced Modifier
• Pronouns
• Idioms
• Redundancy
• Subject/Verb Agreement
• Past Tense
• Parallel Construction
• Passive Voice
• Subjunctive
• Infinitive (& more)
Critical Reasoning Introduction to Critical Reasoning
• CR Standard Format & Process
• Main CR Question Types
• Strengthen vs. Weaken
• Assumption vs. Conclusion
• Flaw Qs
• Evaluate vs Completion Qs
• Structure Qs
• Inference Qs
• EXCEPT Qs
• RC Standard Format
• RC Standard Process
• RC Question Types

### Intermediate / Advanced Math – Montreal

AWA & Integrated Reasoning Fundamentals – MTL Introduction to Integrated Reasoning
• IR Section Format
• IR Question Types
• 1. Multi-Source Reasoning
• 2. Table Analysis
• 3. Graphics Interpretation
• 4. Two-Part Analysis
Introduction to Analytical Writing (AWA)
• AWA Standard Format
• AWA Standard Process
• Analysis of an Argument
• Argument Essay Template
Exponents & Roots – MTL Exponents & Roots
• Exponent & Root Rules
• Algebraic Exponents
• Common & Difficult Roots
• Factoring vs. FOIL Rule
• Difference of Squares
• Digits Terminology
• Scientific Notation
Statistics – MTL Probability
• Individual vs. Multiple
• Dependent vs. Independent
• Success vs. Failure
Factorials
• Factorials (!)
• Prime Factorization
Averages
• MMM & Range
• Simple vs. Weighted
Standard Deviation
• Standard Deviation Theory
• SD Standard Process
• Calculating vs. Applying SD
Set Notation
• Grouping Theory & Process
• Venn Diagrams
• Group Grids
• Group Equation
• 2-Group Qs
• 3-Group Qs
Word Problems – MTL Percentage Change
• Percent Increase
• Precent Decrease
• Multiple Percent Change
Ratios & Mixtures
• 2-Item vs. 3-Item
• Single vs. Double Ratios
• Mixture Qs
Interest
• Simple Interest
• Compound Interest
• Hybrid Interest
Rates & Work
• Individual vs. Combined
• Hybrid Rate Qs
• Work Qs
• Average Rates
• Geometric Rates
• Population Qs