Resources and materials for courses developed through the Partnership for Excellence project

Excursions in Number Theory

The handouts below are Word 6 for Windows documents.  A Word viewer may be downloaded from Microsoft by clicking here: Word Viewer. A PowerPoint viewer may be downloaded by clicking here: PowerPoint Viewer.

 

Course Outline
PowerPoint Presentation on Structure of Number Systems

Cooperative Group Activities

Unit 1: Factor of Natural Numbers
    Prerequisites and Objectives
    Activity 1: Even and Odd Numbers
    Activity 2: Primes and Composites
    Activity 3: The Sieve of Eratosthenes
    Activity 4: Factors and Products
    Activity 5: The Greatest Common Factor
    Activity 6: The Least Common Multiple
    Activity 7: The Fundamental Theorem of Arithmetic
    Activity 8: Fermat and Mersenne Primes
    File containing all unit activities

Unit 2: Sequences
    Prerequisites and Objectives
    Activity 1: Models of Arithmetic Sequences
    Activity 2: Models of Geometric Sequences
    Activity 3: A Staircase of Cubes
    Activity 4: Triangular Numbers
    Activity 5: Square Numbers
    Activity 6: Pascal's Triangle
    Activity 7: Magic Squares
    Activity 8: Exponential Patterns
    File containing all unit activities

Unit 3: Modular Arithmetic
    Prerequisites and Objectives
    Activity 1: Clock Arithmetic
    Activity 2: Practice in Modular Arithmetic
    Activity 3: Residue Classes and Divisibility
    Activity 4: An Application
    File containing all unit activities

Unit 4: Intriguing Investigations

Links to Number Theory Resources on the Internet
Math Forum Internet Resource Collection on Number Theory
Number Theory Web
Math Forum Resources by Subject
Math Archives at University of Tennessee
Luke's Marin Mersenne Page
USCS Library OSCAR

Software Links
Calculus Calculator 4 (Beta Version of X(Plore))
Various number theory programs in the Math Archives
Winzip for expanding compressed files