AGES 10 - 15

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.

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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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