​Introduction​ ​to​ ​Number Theory

Course Description


One-semester course (Summer). How do we use integers? Are there limits to how they can be used? This course will be a challenging introduction to number theory, a look at how integers work, how they can work together, and what patterns we can create. We will cover primes and composites, base numbers, modular arithmetic, linear congruences, special numbers such as palindromes, and much more.

Prerequisites: Students should be comfortable with completing division, dealing with positive and negative exponents, solving linear and quadratic equations, and factoring. The class is appropriate for students who have completed Algebra I or II and may be considered a math elective.

Example Syllabus (Download the PDF)

Required Text:

  • Crawford, Matthew. Introduction to Number Theory, 2nd Edition. Alpine, CA: Art of Problem Solving Incorporated, 2011. ISBN 9781934124123

Class meets twice per week for 50-55 minutes.

Class cap: 15 students.

Designed for grades 8-12.

Students in grades 9-12 may be awarded .5 Mathematics or Elective credit upon completion of this course.