Math Olympiad Fall Semester
LEVEL
P
R
E
P
Math Olympiad Prep (1st grade/Advanced K)
Prerequisite: Master addition & subtraction problems within 20; understand addition & subtraction within 100
Main Topics:

Calculation: The concept of multiplication and division; Finding patterns & completing the patterns; Efficient addition & subtraction calculations

Counting: Real life probability, counting 2D & 3D shapes; The split strategy with/without regrouping

Combinatorics: Sorting & classifying shapes; Matchstick puzzles; Reflectional (mirror) symmetry; The understanding of odd & even; numeral comparison; fun dice problems; clock angle problems

Puzzles: Filling in the “plus” and “minus” signs; equation puzzles

Geometry: The learning of angles; Shape composition/decomposition; 3D shapes; Multiview—Basic threeview drawings

Word problem: Measuring lengths with different units; unit conversions; ordinal numbers; twostep multiplication and division word problems

Number theory: None
LEVEL
1
Math Olympiad Level 1 (2nd grade/1st grade)
Prerequisite: Master addition & subtraction problems within 100; understand the concepts of multiplication and division; multiplication facts fluency
Main Topics:

Calculation: Efficient addition & subtraction problem calculations; looking for patterns in number sequences; looking for shape patterns (advanced); addition & subtraction equations

Counting: Counting regular 2D & 3D shapes

Combinatorics: Odd & even number problems (basic); basic logic reasoning; matchstick puzzles; eulerian path

Puzzles: Filling signs; vertically stacked shapes puzzle; addition & subtraction puzzles with vertically stacked numbers; Sudoku puzzle

Geometry: The transformations of 2D shapes; the learning of 2D & 3D shapes; nets for 3D shapes; multiview—advanced threeview drawings

Word problem: Measurement; age problems (basic); balance scale; backwards reasoning strategy; sum, difference, & multiple (basic);

Number theory: Division with no remainder (basic)
Yumeng Chen
A graduate from the University of Massachusetts Amherst, Yumeng Chen was previously an International chess champion and also the first runnerup in the Chinese Mathematical Olympiad.
Ben Yang
A Ph.D graduate from MIT in mathematics.
LEVEL
2
Math Olympiad Level 2 (3rd grade/2nd grade)
Prerequisite: Master the 4 operations
Main Topics:

Calculation: Efficient multiplication & division problem calculations; the distributive property of multiplication; arithmetic—the 4 operations; the sum of arithmetic sequences

Counting: The split strategy; enumeration; dendrogram

Combinatorics: Pigeonhole principle, strategy games for odd & even numbers

Puzzles: Multiplication & division puzzles with vertically stacked numbers

Geometry: Calculations of lengths and angles; compose shapes

Word problem: Sum, difference, & multiple (advanced); profit & loss problems; ancient Chinese puzzle chicken & rabbit (basic); ancient Chinese puzzle chicken & rabbit (advanced)

Number theory: Division with no remainder (advanced)
LEVEL
3
Math Olympiad Level 3 (4th grade/3rd grade)
Prerequisite: Master the 4 operations, some knowledge of fractions, percentages, and decimals
Main Topics:

Calculation: Efficient multidigit problem calculations; efficient decimal problem calculations; calculations of number sequences using formulas

Counting: Addition principle; multiplication principle; formulas for permutations & combinations

Combinatorics: Analysis of odd & even; problems involving overall planning; logic reasoning; problems involving maximum; strategic games; pigeonhole problems (advanced)

Puzzles: Advanced vertically stacked calculations; vertically stacked letters; Sudoku puzzle

Geometry: Area (formula & calculation)

Word problem: Age problems (advanced); profit & loss problems (advanced); sum, difference & multiple (advanced); distance problems (basic)—motion either in opposite directions or the same direction; distance problems (advanced)— round trip questions; Problems involving arithmetic mean

Number theory: Prime & composite numbers; common divisor & common multiple
LEVEL
4
Math Olympiad Level 4 (5th grade/4th grade)
Prerequisite: Master the operations involving fractions, percentages, and decimals; some knowledge of geometry and number theory
Main Topics:

Calculation: Whole number splitting; fractions & repeating decimals; fraction splitting; equation system solving

Counting: InclusionExclusion Principle; counting in geometry, number puzzles, and number theory

Combinatorics: Logical reasoning

Puzzles: Place value

Geometry: Area problem solving; area of a circle and a sector (basic); solid geometry

Word problem: Word problems involving equations; problems involving boats & streams; distance problems (advanced)ratios; mixture word problems; indefinite equation; the concepts of direct & inverse proportion, with application

Number theory: Rounding; carrying; remainder