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Proof-Based Competition Preparation - Part 1

Level 1

Skill Level

Fall

Semester

16

Lessons

16 Weeks

Duration

English

Language

Share This Course:

  • Buy AMC 8 Preparation Book
  • Buy AMC 8 Preparation Book

Course Description

This online course is designed to introduce the students to the methods of proofs and mathematical reasoning in the four main areas of mathematics competitions: Algebra, Geometry, Number Theory and Combinatorics. The course will help the students develop the necessary problem-solving skills and practice proof-based problems.

Go to the Spring semester of this course 

this course will help you Prepare for the following competitions:

  • Switzerland Math Olympiad
  • Puerto Rico Team Selection Test (proof-based problems)

Who is the course for?

We recommended this course for the students of grades 7-8.

Do you need this course?

Go to Sample Problems

Fall Semester Schedule

   August 17, 2023 – December 7, 2023

Lesson 1 - Statements, Predicates, Quantifiers, Types of Proofs
Lesson 2 - Algebraic Identities
Lesson 3 - Properties of Equations and Inequalities
Lesson 4 - Equivalent Transformations of Inequalities
Lesson 5 - Inequality of Arithmetic and Geometric Means - Part 1
Lesson 6- Inequality of Arithmetic and Geometric Means - Part 2
Lesson 7- Induction - Part 1
Lesson 8- Induction - Part 2
Lesson 9- Properties of Divisibility
Lesson 10- Greatest Common Divisor
Lesson 11- Euclidean Algorithm
Lesson 12- Fundamental Theorem of Arithmetic, Infinity of Primes
Lesson 13- Least Common Multiple
Lesson 14- Modulus and Remainders
Lesson 15- Properties of Congruences
Lesson 16- Diophantine Equations

Enroll Below

Standard Plan

$ 399
99
/4mo*
  • 15 Group meetings
  • Access to recorded classes
  • Access to lecture notes
  • Access to practice worksheets
*Price Per Student. Billed once per semester

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