SMR 3.1 Objectives

Prove and use basic properties of natural numbers (e.g., properties of divisibility)
Use the Principle of Mathematical Induction to prove results in number theory
Know and apply the Euclidean Algorithm
Apply the Fundamental Theorem of Arithmetic (e.g., find the greatest common factor and the least common multiple, show that every fraction is equivalent to a unique fraction where the numerator and denominator are relatively prime, prove that the square root of any number, not a perfect square number, is irrational)