Toronto
Course Syllabus
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
- 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
(Algebra & Arithmetic) Introduction to GMAT Math
- Trap Answers
- Ballparking
- Algebra vs. Arithmetic
- Plugging In Standard Process
- Choosing Good Number Rules
- Applied Plugging In
- Advanced Plugging In
- Plugging In the Answers (PITA)
- Applied Plugging In the Answers
- Advanced Plugging In the Answers
Data Sufficiency
Introduction to Data Sufficiency
- DS Standard Format
- DS Standard Process
- AD/BCE Process Flowchart
- VALUE Data Sufficiency
- Value DS Standard Process
- DS Simultaneous Equations
- Equation Variable Inequality (EVI)
- Value DS Tricks & Traps
- Practice Value DS Questions
- YES/NO Data Sufficiency
- 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
Word Problems
Percentage Change
- % Increase vs. Decrease
- Profit (%↑) vs. Discount (%↓)
- 2-Item vs. 3-Item
- Single vs. Double
- Mixture Qs
- Simple vs. Compound vs. Hybrid
- Individual vs. Combined vs. Hybrid
- Change in Units
- Rates vs. Work
- Average Rates
- Geometric Rates
- Population Qs
- Function Theory
- Mathematical f(x)
- Terms vs. Formulas vs. Symbols
- Algebraic Functions
- Sequence Theory
- Single vs. Multi-Variable
- ‘Must Be’ Standard Process
- Regular ‘Must Be’ Qs
- CANNOT Qs
- Roman Numeral Qs
- Could Be Qs
Exponents & Roots
Exponents & Roots
- Exponent & Root Rules
- Additive Exponents
- Algebraic Exponents
- Common & Difficult Roots
- Factoring vs. FOIL Rule
- Common Quadratics
- Difference of Squares
- Digits Terminology
- Scientific Notation
- Flip-Sign Rule
- Absolute Value
Statistics
Probability
- Individual vs. Multiple
- Dependent vs. Independent
- Success vs. Failure
- Additive vs. Non-Additive
- Difference Source
- Same Source – Order Matters
- Same Source – Order Doesn’t Matter
- Circular (Non-Linear) P&Cs
- Hybrid Permutations & Combinations
- Factorials (!)
- Prime Factorization
- MMM & Range
- Simple vs. Weighted
- Standard Deviation Theory
- SD Standard Process
- Calculating vs. Applying SD
- 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)
- Perimeter, Area, Volume, Surface Area
- Squares, Rectangles, Circles, Triangles
- Overlapping Figures
- Isosceles, Equilateral, Right Triangles
- Pythagorean Theorem & Triplets
- Impossible Triangle Rule
- Central Angle & Inscribed Angle Rule
- Slope, Intercepts, & Line Equations
- Cylinders & Cones
Pre-GMAT Verbal Refresher (optional)
Parts of Speech
- Nouns
- Pronouns
- Verbs
- Adjectives
- Adverbs
- Prepositions
- Conjunctions
- Interjections
- 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
- As vs. Like
- Between vs. Among
- If vs. Whether
- Ability vs. Capability
- Quantity Words
- Adjectives vs. Adverbs
Critical Reasoning
Introduction to Argument Theory
- Argument Components (CPA)
- Common Argument Patterns
- CR Standard Format & Process
- CR Standard POE Reasons
- Strengthen vs. Weaken
- Assumption
- Conclusion
- Flaw
- Evaluate vs. Completion
- Paradox
- Structure
- Inference
- EXCEPT Qs
Reading Comprehension
Introduction to Reading Comprehension
- RC Standard Format
- RC Standard Process
- 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
- AWA Standard Format
- AWA Standard Process
- Analysis of an Argument
- Argument Essay Template
Montreal
Course Syllabus
Intro to GMAT
Introduction to GMAT
- Current GMAT Exam Structure
- Next Generation GMAT Exam
- GMAT Scores (Absolute vs. Relative)
- Question Types vs. Topic Types
- What is the GMAT CAT?
- How does the CAT work?
- Accuracy vs. Speed
- Time Management & Pacing
- Guessing Strategies
Algebra & Arithmetic
Introduction to GMAT Math
- Trap Answers
- Ballparking
- 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)
- Perimeter, Area, Volume, Surface Area
- Squares, Rectangles, Circles, Triangles
- Overlapping Figures
- Isosceles, Equilateral, Right Triangles
- Pythagorean Theorem & Triplets
- Impossible Triangle Rule
- Central Angle & Inscribed Angle Rule
- Slope, Intercepts, & Line Equations
- Cylinders & Cones
Data Sufficiency
Introduction to Data Sufficiency
- DS Standard Format
- DS Standard Process
- DS Practice Questions
Intro to Verbal
Introduction to Verbal
- Math vs. Verbal
- Verbal Standard Process
- 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
- Paradox Qs
- Inference Qs
- EXCEPT Qs
Reading Comprehension
Introduction to Reading Comprehension
- RC Standard Format
- RC Standard Process
- RC Question Types
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
- AWA Standard Format
- AWA Standard Process
- Analysis of an Argument
- Argument Essay Template
Exponents & Roots – MTL
Exponents & Roots
- Exponent & Root Rules
- Additive Exponents
- Algebraic Exponents
- Common & Difficult Roots
- Factoring vs. FOIL Rule
- Common Quadratics
- Difference of Squares
- Digits Terminology
- Scientific Notation
Statistics – MTL
Probability
- Individual vs. Multiple
- Dependent vs. Independent
- Success vs. Failure
- Additive vs. Non-Additive
- Factorials (!)
- Prime Factorization
- MMM & Range
- Simple vs. Weighted
- Standard Deviation Theory
- SD Standard Process
- Calculating vs. Applying SD
- 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
- 2-Item vs. 3-Item
- Single vs. Double Ratios
- Mixture Qs
- Simple Interest
- Compound Interest
- Hybrid Interest
- Individual vs. Combined
- Hybrid Rate Qs
- Work Qs
- Average Rates
- Geometric Rates
- Population Qs