Proof-Based Competition Preparation - Part 1

Level 1

Skill Level

Fall

Semester

12

Lessons

12 Weeks

Duration

English

Language

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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:

Who is the course for?

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

Do you need this course?

Fall Semester Schedule

August 2025 – December 2025

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

$ 499

99

/4mo*

12 Group meetings
Access to recorded classes
Access to lecture notes
Access to practice worksheets

This course is by invitation only Please contact us at info@42points.com

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