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Competitive Mathematics Prep

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Open to: Grades 7-12

Prerequisites: Qualifying math score and completion of Algebra I or Geometry; prior participation in mathematics competitions recommended.

Course Format: Individually Paced

Course Length: Typically 3 months

Course Code: CPM

Course Description


This course is designed to extend skills in problem solving taught in MathCounts, to foster mathematical creativity, and to prepare students for competitions similar to the American Mathematics Competition (AMC 8, 10). Students learn to think at an advanced level as they tackle challenging problems. Students explore a variety of math topics including advanced concepts from number theory, probability, algebra, and geometry. Students learn to apply various problem-solving strategies while completing contest-style problems. The course provides notes, practice problems, and videos from Art of Problem Solving to allow students to learn and review both the material and problem-solving skills. As students progress through the course, they will complete timed practice AMC 8 and 10 exams to help them prepare for real competitions.

For a detailed list of topics, click the List of Topics tab.

Each student is assigned to a CTY instructor to help them during their course. Students can contact their instructor via email with any questions or concerns at any time. Live one-on-one online review sessions can also be scheduled to prepare for the graded assessments, which include homework, quizzes, and a cumulative final exam.

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Materials Needed

There are no required materials for this course.

List of Topics

The following topics will be covered in the course:

  1. Sets
  2. Number Theory
  3. Modular Arithmetic \& Diophantine Equations
  4. Exponents, Sequences, and Series
  5. Equations
  6. Ratios, Rates, and Proportions
  7. Probability
  8. Combinatorics
  9. Triangles and Circles
  10. Areas
  11. Coordinate Geometry
  12. 3D Geometry

Strategy Session

A weekly strategy session will be held online every Thursday evening from 8 - 9 p.m. ET. Attendance is optional and all sessions are recorded so students can watch them at a later time. Instructions and details are posted on the course website for enrolled students.

Technical Requirements

This course requires a properly maintained computer with high-speed internet access and an up-to-date web browser (such as Chrome or Firefox). The student must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details.

This course uses an online virtual classroom for discussions with the instructor. The classroom works on standard computers with the Adobe Connect Add-in or Adobe Flash plugin, and also tablets or handhelds that support the Adobe Connect Mobile appStudents who are unable to attend live sessions will need a computer with the Adobe Connect Add-in or Adobe Flash plugin installed to watch recorded meetings. The Adobe Connect Add-in, Adobe Flash plugin, and Adobe Connect Mobile app are available for free download. Students who do not have the Flash plug-in installed or enabled on their browsers will be prompted to download and install the Adobe Connect add-in when accessing the virtual classroom.