 # Introduction to Number Theory

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. ##### Who is this course for
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.
##### Curriculum
###### Chapter 1: Integers: The Basics Multiples and Divisors
###### Chapter 2: Primes and Composites Primes, Composites, and identifying prime numbers
###### Chapter 3: Multiples and Divisors Greatest Common Divisors and Least Common Multiples, Euclidean algorithm
###### Chapter 4: Prime Factorization Factorization of numbers, application problems
###### Chapter 5: Divisor Problems Counting the number of divisors of a number
###### Chapter 6: Special Numbers Factorials, Divisibility, Palindromes
###### Chapter 7: Algebra with Integers Solving algebraic equations that only involve integers
###### Chapter 8: Base Number Number in bases other than base 10, conversion of different bases
###### Chapter 9: Base Number Arithmetic Addition, subtraction, multiplication and division of number in different bases
###### Chapter 10: Unit Digits Solving problems with unit digits of numbers
###### Chapter 11: Decimals and Fractions Terminating and repeating decimals, conversion of decimals to fractions
###### Chapter 12: Introduction to modular arithmetic Congruence, addition and multiplication of remainders
###### Chapter 13: Divisibility Rules Learn to quickly check if a number is divisible by 2, 3, 4, 5, 7, 9, 11, 13
###### Chapter 14: Linear Congruences Solving linear congruence equations
###### Chapter 15: Number Sense Familiarize with numbers to solve problems efficiently

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