Simple Continued Fractions an Approach for High School Students

Abstract

This paper introduces high school students to the mathematical concept of continued fractions, encompassing both finite and infinite forms. It delves into fundamental properties, the computation of quadratic numbers, and the concept of conjugate quadratic numbers. A substantial focus is placed on approximating real numbers and understanding convergence properties. By fostering an engaging and interactive learning environment, the paper aims to enhance students' mathematical proficiency and problem-solving skills. Through exploring the intricate relationships within number systems, students will gain a comprehensive understanding of continued fractions, providing a solid foundation for advanced mathematical studies.