Texas Instruments: Numb3 Rs: An Irrational Approach to Music

Based off of the hit television show NUMB3RS, this lesson introduces students to the concept of approximating irrational numbers using a continued fraction. For most exercises in the lesson, the values which are to be substituted into the continued fraction are given, and students are to explore how the approximation gets closer to the actual value of the irrational number. Then, students use their knowledge of continued fractions to explore the placement of holes in a certain type of flute.