Momentum Learning Contest Math Advanced Level 1 (Summer Camp)
Welcome to our contest math summer camp, where we delve into more challenging mathematical concepts beyond typical school curriculum. Our program is designed to cultivate a deeper understanding of mathematical principles and enhance problem-solving abilities in students.
This camp is for students who want to improve their performance on middle school and high school competitions such as AMC 8, AMC10, and MATHCOUNTS.
Contest Math Advanced Level 1
- Prerequisite: 18+ on AMC8 or Completion of CM301 or CM401
Fee: $1,049 - Homework: Throughout the camp sessions, the instructor will tackle various example questions. It’s crucial that students thoroughly review and actively engage with any unanswered questions from each session, every day of the camp.
Online
All instructional materials from the camp, including recorded sessions, will remain accessible for an additional three months following the conclusion of the camp. Zoom and Canvas platforms will be utilized for delivery and access to these resources.
Advanced Level 1
Number Theory
Instructor: Michelle Nal
Dates: August 5 – 16 (M-F)
Time: 1 – 4:30PM CT
In-Person
Advanced Level 1 – Geometry
Geometry (Week 1)
- Angles
- Parallel Lines
- Revisiting Pythagorean Theorem
- Congruence and Similarity of Triangles
- Parallelograms and Trapezoids
- Area
Geometry (Week 2)
- Arcs and Angles
- Similarity Revisited
- Special Elements in a Triangle
- Segments in Circles
- Funky Areas
Advanced Level 2 – Combinatorics
Combinatorics (Week 1)
- Revisiting Permutation and Combination
- Pascal’s Triangle
- Distinguishability
- Probability
- Counting with Cubes
- Counting Poker Hands
Combinatorics (Week 2)
- Addition and Multiplication
- Sets
- Permutation
- Combination
- Casework
Advanced Level 1 – Algebra
- Exponents and Logarithms
- Equations
- Polynomials
- Piecewise Defined Functions
- Inequalities
- Statistics
Advanced Level 1 – Number Theory
- Divisibility and Prime Numbers
- LCM and GCD
- Base Numbers
- Modular Arithmetic
- Algebraic Number Theory
- Diophantine Equations
- Sequences and Series
- Functions
FAQ
Will summer camp cover the same material as spring and fall semesters?
There could be some overlap in topic coverage. However, most of the questions addressed in the camp will differ from those in our spring/fall classes.
Mastering contest math concepts typically requires multiple reinforcement opportunities. Each subsequent encounter with the same topics not only deepens students’ understanding but also progressively enables them to apply these concepts independently. It is unrealistic to expect students to fully grasp a concept and proficiently apply it after being exposed to it only once or twice.
Will there be homework assigned daily?
During the camp sessions, the instructor will present various example questions. Initially, students will be given 2-3 minutes to attempt solving the question. Subsequently, the instructor will solve the question and discuss its implications. It’s typical for students not to fully solve the questions within the allotted time. Therefore, the homework is for students to review and actively tackle all questions they didn’t complete during each day’s camp session.
Remember: You cannot claim to know how to solve a question unless you independently work through it without assistance.
Note: $40 annual registration fee per student (Fall 2023 – Summer 2024)