2020 Contest Math Summer Camp Selection Criteria and Camp Descriptions

Note: The students should take the same level sessions if they want to take more than one session.

Math Camp Selection Criteria
(All enrollments require instructor approval)

Level Topics Covered Pre-Requisite
Introduction to Contest Math Selected topics on MATHCOUNTS and AMC8 For students who have completed Pre-Algebra
Level 1 Selected topics on AMC8 and MATHCOUNTS For students who completed Algebra I and familiar with basic Geometry topics. Students need to score 15+ on AMC8 / 75+ on AMC10 or current CM401 students or get instructor approval
Level 2 Selected topics on MATHCOUNTS National, AMC 10, and AMC 12 For students who completed Algebra I and Geometry and can score 100+ on AMC 10 or current CM501 students or Instructor Approval
Level 3 Advanced topics on AIME, HMMT, and PUMaC 6+ on AIME or current CM601/CM701 students or Instructor Approval
Level 4a How to write mathematical proofs 7+ on AIME or Instructor Approval
Level 4 Selected Olympiad topics USA(J)MO USA(J)MO Qualifier or 9+ on AIME or current CM701 students or Instructor approval

Introduction to Contest Math: Selected topics on MATHCOUNTS and AMC8
Who should take this: Students who have completed Pre-Algebra

Time: 9am – 4pm
Tuition: $1,100

Session 1: June 15- 26 (M-F)
Session 3: July 27 – August 7 (M-F)
Session 1 & 3 will cover the same content

Topics

  • Algebraic Expressions
  • Exponents
  • Fractions and Decimals
  • Order of Operations
  • Solving Equations
  • Word Problems
  • Radicals
  • Pythagorean Theorem
  • Special Right Triangles

Session 2: July 13 – 24 (M-F)

Topics

  • Divisibility and Prime Factorization
  • LCM and GCF
  • Algebraic Identities and Manipulations
  • Sequence and Series
  • Triangles and Quadrilaterals (Length and Area)

Level 1: This class is for students who want to improve their performance on middle school competitions such as AMC 8 and MATHCOUNTS.

Who should take this: Students who completed Algebra I and familiar with basic Geometry topics. Students need to score 15+ on AMC8 / 75+ on AMC10 or get instructor approval.

Time: 9am – 4pm
Tuition: $1,400

Session 1: June 15 – 26 (M-F)
9am – 12pm: Mrs. Nal
1pm – 4pm: Emrah

Session 3: July 27 – August 7 (M-F)
9am – 12pm: Mrs. Nal (week 1) / TBD (week 2)
1pm – 4pm: TBD

Session 1 & 3 will cover the same content

9am – 12pm:

  • Diophantine Equations
  • Base Numbers
  • Sequences and Series
  • Functions

1pm – 4pm:

  • Coordinate Geometry
  • Area in Triangles and Special Quadrilaterals
  • Circles (Angles, Length and Area)

Session 2: July 13 – 24 (M-F)

9am – 12pm: Mrs. Nal

  • Divisibility and Factors
  • LCM and GCF
  • Modular Arithmetic
  • Algebraic Number Theory
  • Counting with Restrictions

1pm – 4pm (TBD)

  • Combinations
  • Pascal’s Triangle and Binomial Theorem
  • Probability
  • Special Right Triangles

Level 2: This class is for students who want to improve their performance on higher level competitions such as AMC 10-12 / National Level MATHCOUNTS.

Who should take this class: Students who completed Algebra I and Geometry and can score 100+ on AMC 10

Time: 9am – 4pm
Tuition: $1,500

Session 1: June 15 – 26 (M-F)

9am – 12pm (Emrah)

  • Advanced System of Equations
  • Algebraic Number Theory (Identities, Manipulations)
  • Polynomials and Complex Numbers
  • Functions

1pm – 4pm (Mrs. Nal)

  • Lengths of a Triangle
  • Special Quadrilaterals
  • 3-D Geometry

Session 2: July 13 – 24 (M-F)

9am – 12pm (TBD)

  • Modular Arithmetic
  • Diophantine Equations
  • Base Numbers
  • Binomial Theorem and Identities

1pm – 4pm (Mrs. Nal)

  • Principle of Inclusion and Exclusion
  • Recursive Sequences
  • Length and Area in Triangles

Level 3: This class is for students who want to improve their performance on competitions such as AIME, HMMT, PUMaC

Pre-requisite: 6+ on AIME

Dates: July 13 – 24 (M-F)
Time: 9am – 4pm
Tuition: $1,600

9am – 12pm (Dr. Nal)

Combo

  • Events with states
  • Recursions
  • Expected value and linearity of expectation
  • Conditional probability
  • Graphs and cycles

NT

  • Solving Diophantine equations
  • Fermat’s Little, Euler and Wilson theorems
  • Modular arithmetic, Chinese remainder theorem
  • Euclidean algorithm, Bezout theorem

1pm – 4pm (TBD)

Level 4a (Introduction to Mathematical Proofs): This class is for students who are new to Math Olympiad proof problems.

Description: This class is intended for students who have been active in math competitions for a few years but are relatively new to Olympiad Math (proofs). Students will learn how to write proofs and learn more in depths topics and techniques to transition from AIME problems to USA(J)MO problems.

Pre-Requisite: 7+ on AIME

Dates: July 13 – 24 (M-F)
Time: 9am – 4pm
Tuition: $1,900

9am – 12pm (TBD)
1pm -4pm (Dr. Nal)

Algebra

  • Cauchy-Schwarz, Jensen inequalities; smoothing techniques
  • Functional equations: fixed points, injectivity and surjectivity, involutions
  • Cauchy-type functional equations
  • Point-wise trap in FE

Number Theory

  • Modular Arithmetic; Chinese Remainder Theorem
  • Order of an element; Fermat’s Little Theorem; Euler’s theorem
  • Arithmetic functions (Euler Totient function; d(n); etc.)
  • Diophantine Equations

Combinatorics

  • Algorithms and invariants
  • Processes and induction
  • Games and coloring techniques

Geometry

  • Collinearity, concurrency (Ceva and Menelaus Theorems)
  • Radical Axes and the Radical Center
  • Homothety and the Nine Point Circle
  • Incenter Excenter Lemma
  • Symmedians, Simson Line
  • Isogonal Conjugates

Level 4: Selected Olympiad topics USA(J)MO (ONLINE ONLY)
Who should take this: USA(J)MO qualifier or students who scored 9+ on AIME or Instructor approval. This camp will focus on Olympiad Math (proofs). Students will learn how to write proofs and learn more in depths topics and techniques to transition from AIME problems to USA(J)MO problems. This camp will help students improve their USA(J)MO scores.

Dates: July 27 – August 7 (M-F) ONLINE ONLY (9am – 12pm Central Time)

Week 1: 9am – 12pm (Dr. Nal)
Week 2: 9am – 12pm (TBD)

Tuition: $950

Algebra

  • Algebraic Inequalities: Cauchy-Schwarz, Rearrangement, Jensen inequalities Smoothing, Isolated fudging, n-1 EV, Tangent Line trick, and other methods
  • Schur inequality and Muirhead; SOS and CDN techniques
  • Functional equations: fixed points, injectivity and surjectivity, involutions
  • Cauchy-type functional equations; Point-wise trap

Number Theory

  • Modular Arithmetic; Chinese Remainder Theorem
  • Order of an element; Fermat’s Little Theorem; Euler’s theorem
  • Arithmetic functions (Euler Totient function; d(n); etc.)
  • Lifting the exponent trick
  • Diophantine Equations; Pell Equations

Combinatorics

  • Algorithms; invariants and monovariants; Processes and induction
  • Games and coloring techniques
  • Counting in Two Ways
  • Graph Theory and applications; Extremal Combinatorics

Geometry

  • Radical Axes and the Radical Center; Homothety and the Nine Point Circle
  • Incenter Excenter Lemma; Symmedians, Simson Line; Isogonal Conjugates
  • Projective geometry and Brocard theorem
  • Miquel point theorem and spiral similarity

What to do

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Note: If you sign up online classes, an invite email with instructions will be sent out from Instructure Canvas (not from Momentum) to the student’s email address (not the parent’s) 1-2 days prior to the class (after we receive the payment).

Note

  • $40 annual registration fee (2019 Fall – 2020 Summer)

Discount

  • 10% discount if paid by March 10, 2020
  • 5% discount if paid by April 11, 2020

Refund Policy

  • $100 fee if canceling at least 4 weeks before camp starts
  • 50% credit if canceling within 4 weeks before camp starts.
  • No refund/credit after camp starts.

Hotel recommendation for out-of-town students/parents:

Hilton Garden Inn Sugar Land
722 Bonaventure Way, Sugar Land, Texas, 77479
(281) 491-7777

Hyatt Place Sugar Land
16730 Creekbend Dr, Sugar Land, TX 77478
(281) 491-0300

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