This course is designed to build the basics of a complicated mathematical field. It is designed to be a complete introduction to the fundamental concepts of number theory for students in grades 7-10. The class covers topics such as primes and composites; multiples, divisors, and divisibility; prime factorization and its uses; modular arithmetic and more.

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This Course is for Grade 5-Grade 9 Students who want to advance their knowledge in Number Theory. And also for students who want to challenge themselves in middle school competitions.

This course typically takes 3-6 months to complete. This depends on the student's experience and how fast they can master the concepts and the knowledge. Our instructors move at the pace of the student, it may take extra time for some students to reinforce what they have learned.

Multiples and Divisors

Primes, Composites, and identifying prime numbers

Greatest Common Divisors and Least Common Multiples, Euclidean algorithm

Factorization of numbers, application problems

Counting the number of divisors of a number

Factorials, Divisibility, Palindromes

Solving algebraic equations that only involve integers

Number in bases other than base 10, conversion of different bases

Addition, subtraction, multiplication and division of number in different bases

Solving problems with unit digits of numbers

Terminating and repeating decimals, conversion of decimals to fractions

Congruence, addition and multiplication of remainders

Learn to quickly check if a number is divisible by 2, 3, 4, 5, 7, 9, 11, 13

Solving linear congruence equations

Familiarize with numbers to solve problems efficiently

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AGES 10 - 15

Designed for beginners, this level is designed to teach the basic fundamentals and design principles of Python, with the help of Turtle graphics and PyGame. This includes: **variables**, **conditional statements**, **loop basics**, and **functions**.

These concepts are transferable to any other programming language. Throughout the way, students will create projects in order to apply the concepts they have learned, and to solidify their knowledge.

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AGES 10 - 15

Level 2 dives **deeper** into the basics of Python for a more thorough understanding and introduces advanced topics. Students will build on knowledge from Level 1 and work with **data structures**, **advanced loops**, **algorithms**, and **object-oriented** programming, and create games based on what they learn.

Students will complete the course with a solid understanding of Python fundamentals.

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AGES 10 - 15

This **beginner-friendly** course serves as an introduction to the Java programming language. Students will learn the fundamentals of Java along with core computer science concepts. Concepts covered in this course include **Java syntax**, types and **identifiers**, **operators**, **if statements**, **loops**, **arrays** and more.

Students will apply these concepts to create fun games such as **Tic-Tac-Toe**.

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