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Introduction to Number TheoryFundamental principles of number theory, including primes and composites, divisors and multiples, divisibility, remainders, modular arithmetic, and number bases. |
12 weeks |
| 12 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS |
Schedule
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Friday
Sep 12 - Dec 12 |
7:30 - 9:00 PM ET
Sep 12 - Dec 12
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Sindi Sabourin |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
CLOSED
With Books $455
|
|
Sunday
Oct 26 - Feb 1 |
7:30 - 9:00 PM ET
Oct 26 - Feb 1
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Luís Finotti |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Monday
Dec 1 - Mar 2 |
7:30 - 9:00 PM ET
Dec 1 - Mar 2
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Aaron Doman |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Monday
Jan 26 - Apr 13 |
7:30 - 9:00 PM ET
Jan 26 - Apr 13
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Ashley Ahlin |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Sunday
Feb 15 - May 3 |
7:30 - 9:00 PM ET
Feb 15 - May 3
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Eli Brottman |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Thursday
Mar 19 - Jun 4 |
7:30 - 9:00 PM ET
Mar 19 - Jun 4
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Luís Finotti |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Sunday
Apr 19 - Jul 19 |
7:30 - 9:00 PM ET
Apr 19 - Jul 19
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Ray Garner |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
AoPS Holidays
There are no classes November 24 ‐ November 30, December 20 ‐ January 2, May 23 ‐ 25, July 3 ‐ 5, September 5 ‐ 7, and October 31 2026.
Who Should Take?
This course is appropriate for students in grades 6-9 who have mastered basic algebra up through solving linear equations and manipulating multi-variable expressions. Students who have completed our Introduction to Algebra A course should have sufficient background. Students who are already proficient with modular arithmetic and basic Diophantine equations do not need this course. This course is roughly the same difficulty as our Introduction to Counting and Probability class. For those preparing for contests, this course should help with MATHCOUNTS and the AMC 8/10/12 tests.Lessons
| 1 | Integers, Fractions, Decimals, and Number Bases |
| 2 | Base Number Arithmetic |
| 3 | Multiples, Divisors, and Prime Numbers |
| 4 | Common Factors, Common Multiples, Euclidean Algorithm |
| 5 | Divisor Problems, More with the Euclidean Algorithm |
| 6 | Factorials, Special Integers, Algebra with Integers |
| 7 | Units Digit, Introduction to Modular Arithmetic |
| 8 | Calculations with Modular Arithmetic |
| 9 | Divisibility Rules and Multiplicative Inverses |
| 10 | Multiplicative Inverses, Solving Linear Congruences |
| 11 | Systems of Linear Congruences and the Chinese Remainder Theorem |
| 12 | Number Sense and Applications of Number Theory |
Required Textbook
|
Introduction to Number Theory
A thorough introduction for students in grades 7-10 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more.
Related course: Introduction to Number Theory |
