Prerequisites: Qualifying math score and completion of grade 4 math
Course Format: Individually Paced
Course Length: Typically 3 months
Course Code: OL1
This Math Olympiad course is designed to teach the major strategies of problem solving, to foster mathematical creativity, and to stimulate enthusiasm and love for the types of problems that students encounter in competitive mathematics.
This course includes notes, practice problems, assessments, and videos for each topic covered to allow students to learn and review both the material and problem-solving skills. Videos are provided by Art of Problem Solving. As students progress through the course, they will complete free response questions and timed practice exams to help them build experience using strategies that will be useful for real competitions.
Each student is assigned to a CTY instructor to support them and give feedback during their course. Students can contact their instructor via email with any questions or concerns at any time. Live one-on-one online sessions can also be scheduled to prepare for the graded assessments, which include homework, quizzes, and a cumulative final exam. In addition, there are weekly group strategy sessions run by an instructor, where students will learn together.
The weekly strategy session will be held online every Monday evening from 7 - 8 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.
For a detailed list of topics, click the List of Topics tab.
There are no required materials for this course.
This course is designed to teach the major strategies of problem solving, to foster mathematical creativity, and to stimulate enthusiasm and love for the types of problems that students encounter in competitive mathematics. Students explore math topics and strategies in depth, and practice non-routine contest problems. The web-based virtual classroom provides interactive experiences for students. Students and instructors meet in the virtual classroom for problem solving, clarification of concepts, and group sessions.
Both theoretical and applied problems will be used to show how a sketch helps to make sense of and model a problem.
Students will apply principles of logic to solve classic riddles, such as those involving colored hats and identity of the truth-teller, in addition to non-routine math problems.
Prime numbers, factorization, greatest common factor, and least common multiple will be introduced and explored in ways that build stronger number sense.
Students will learn techniques for decreasing the number and complexity of calculations for simplifying problems involving whole number operations, complex fractions, factorials, and exponents.
Students will investigate patterns involving time, additive number sequences, and repeated multiplication.
This topic expands on strategies for making lists for counting and arrangements, along with divisibility and remainders, laying a solid foundation for later work with more formal concepts in modular arithmetic, number theory and combinatorics.
Students use tables to compare unknown quantities in an organized way to test possible solutions, which serves as a basis for more algebraic methods in subsequent coursework.
Students will broaden their understanding of number operations and factors as they apply methods to solve for unknown digits and complete magic squares.
This topic exposes students to various situations for which beginning at a given result and working backwards is the best strategy.
Students develop their ability to change visual perspective as they consider various approaches to non-routine area and perimeter problems.
Strong estimation skills are often required in making sense of problems and checking reasonableness of solutions. In this topic, students apply their number sense to make estimates as they narrow the number of possible solutions to problems involving exponents, divisibility, and remainders.
All CTY Online Programs courses require a properly-maintained computer with Internet access and a recent-version web browser (such as Firefox, Safari, or Internet Explorer). Students are expected to be familiar with standard computer operations (e.g. login, cut & paste, email attachments, etc).
This course uses an online classroom for individual or group discussions with the instructor. The classroom works on standard computers with the Adobe Flash plugin, and also tablets or handhelds that support the Adobe Connect Mobile app.