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Scholars Math 7.2: 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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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 |
$415
(~$35/lesson)
$470 w/books
|
$415
(~$35/lesson)
CLOSED
With Books $470
|
|
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 |
$415
(~$35/lesson)
$470 w/books
|
$415
(~$35/lesson)
With Books $470
Few Spots Left! |
|
Tuesday
May 19 - Aug 4 |
7:30 - 9:00 PM ET
May 19 - Aug 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 |
Dan Kneezel |
$415
(~$35/lesson)
$470 w/books
|
$415
(~$35/lesson)
With Books $470
|
|
Sunday
Jun 7 - Aug 30 |
7:30 - 9:00 PM ET
Jun 7 - Aug 30
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 |
Homero Gallegos |
$415
(~$35/lesson)
$470 w/books
|
$415
(~$35/lesson)
With Books $470
|
|
Wednesday
Jun 17 - Sep 2 |
7:30 - 9:00 PM ET
Jun 17 - Sep 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 |
Sarah Seales |
$415
(~$35/lesson)
$470 w/books
|
$415
(~$35/lesson)
With Books $470
|
|
Monday
Jul 13 - Oct 5 |
7:30 - 9:00 PM ET
Jul 13 - Oct 5
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 |
$415
(~$35/lesson)
$470 w/books
|
$415
(~$35/lesson)
With Books $470
|
|
Friday
Aug 28 - Nov 13 |
7:30 - 9:00 PM ET
Aug 28 - Nov 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 |
Carolina Rivera Arredondo |
$415
(~$35/lesson)
$470 w/books
|
$415
(~$35/lesson)
With Books $470
|
|
Sunday
Sep 20 - Dec 13 |
7:30 - 9:00 PM ET
Sep 20 - Dec 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 |
Lee Trent |
$415
(~$35/lesson)
$470 w/books
|
$415
(~$35/lesson)
With Books $470
|
|
Monday
Oct 19 - Jan 25 |
7:30 - 9:00 PM ET
Oct 19 - Jan 25
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 |
sarah-marie belcastro |
$415
(~$35/lesson)
$470 w/books
|
$415
(~$35/lesson)
With Books $470
|
|
Sunday
Dec 6 - Mar 14 |
7:30 - 9:00 PM ET
Dec 6 - Mar 14
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 |
Wendy Hou |
$415
(~$35/lesson)
$470 w/books
|
$415
(~$35/lesson)
With Books $470
|
AoPS Holidays
There are no classes May 23 ‐ 25, July 3 ‐ 5, September 5 ‐ 7, October 31, November 23 ‐ 29, December 21 ‐ January 3, and February 13 - 15 2027.
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 Honors Math 7: Introduction to Algebra (Part 1) 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 Scholars Math 7.1: Introduction to Counting & 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 Text
|
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: Scholars Math 7.2: Introduction to Number Theory |
