Competitive Mathematics for High School Students

CTY Online Courses
CTY Online courses
Courses Offered
Mathematics	Accelerated Grade 1 Mathematics | Accelerated Grade 2 Mathematics | Accelerated Grade 3 Mathematics | Problem Solving in Arithmetic | Problem Solving in Pre-algebra | Problem Solving in Algebra I, Part I | Problem Solving in Algebra I, Part II | Problem Solving in Geometry | Introduction to Chess | Cryptography: Math and Codes | Math Olympiad for Elementary School Students | MATHCOUNTS Prep | MATHCOUNTS | Competitive Mathematics Prep | Competitive Mathematics for High School Students | Honors Grade 4 Mathematics | Honors Grade 5 Mathematics | Honors Pre-Algebra | Honors Algebra I | Honors Geometry | Honors Algebra II | Honors Trigonometry | Honors Precalculus | AP Calculus AB | AP Calculus BC | AP Calculus C | AP Statistics | Linear Algebra | Multivariable Calculus | Differential Equations | Introduction to Abstract Mathematics | Introduction to Real Analysis | Introduction to Complex Analysis
Computer Science and Technology	Scratch Programming for Elementary Students | Scratch Programming for Middle School Students | Advanced Scratch Programming | Introduction to Web Design | Advanced Web Design | JavaScript | Introduction to Java | Advanced Java Programming | AP Computer Science A
Science	Inventions in Engineering for Young Students | Introduction to Forensics | Earth and Space Science | Life Science | Physical Science | Honors Chemistry | Honors Biology | Honors Physics | AP Biology | AP Chemistry | AP Physics 1 | AP Physics 2 |
Critical Reading	Dragon Tales | Good Dogs | Mystery Stories | Ancient Egypt Rediscovered | Quests and Challenges | Magical Life Lesssons | Greek Myths Revisited | Robot Encounters | Wild Things | In Search Of | The Right Stuff | Dangerous Games and Rebellions | Monsters, Magic, and Mayhem | A Study of Sherlock | Art Meets Science: Nonfiction | Art Meets Science: Literature
Writing	Building Blocks | Grammar FUNdamentals | From Structure to Style | The Process of Writing | Writing for an Audience | Crafting the Essay | Writing Analysis and Persuasion | Crafting Poetry | Crafting Fiction | AP English Language and Composition
English Language Learning	Vocabulary, Grammar, and Writing Using STEM Essay Writing Using STEM | Crafting the Essay for English Language Learners
Visual Fluency	Visual Literacy | Visual Communication
Music Theory	Mastering the Fundamentals of Music
World Languages	Arabic for Elementary School Students | Arabic Language | Arabic Readers' Workshop | Chinese for Elementary School Students | Chinese Language | Chinese Readers' Workshop | Chinese Essay Writing | AP Chinese Language and Culture | Spanish Language for Elementary Students | Spanish Language | Spanish Language Essay Writing | AP Spanish Language and Culture | AP Spanish Literature and Culture | Spanish Readers' Workshop | Spanish Literature Readers' Workshop
History and Social Studies	AP Macroeconomics | AP Microeconomics | AP Psychology | AP United States Governmnent and Politics | AP United States History

Competitive Mathematics for High School Students is a CTY Online course for high school students who have participated in either the AMC 10 or 12 and have completed Precalculus. Its course code is CMH, the course lasts 3 months and the times are as follows:

Wednesdays from 9 pm-10:30 pm (Eastern Standard Time)

Course Description

From the CTY Online Catalog:

This course is a very challenging problem-solving course for students who have participated in the AMC and are eager to take their skills to the next level.

In one part of the course, general problem-solving techniques are introduced, such as:

• the pigeon hole principle
• invariance principle
• extremal principle
• induction principle
• systematic checking

Some of these general problem-solving paradigms enjoy applicability outside of mathematics. In the other part of the course, these metholds are discussed in specific mathematical contexts such as:

number theory combinatorics, sequences polynomials In tackling non-routine problems whose solutions are not immediate, students are encouraged to approach problems from different angles. A further goal of this course is to improve a student's ability to write proofs. Students attend weekly virtual classroom sessions to discuss challenging problems.

Each topic covered in the course is independent of the other topics. One topic is taught a week on a continuous repeating basis. Students will not necessarily start with "Topic 1" in their first week of enrollment, but all topics will be covered in a 3-month enrollment. When all topics are covered, a student then takes the final exam.