A review of the previous material was given. Energy, frequency, harmonics, sound, acoustic dynamics and cymatics was related to real-world applications.
The lesson consisted of more wave dynamics. The main topics were solving for the fundamental frequency of a wave and finding the higher harmonics or characteristic frequencies of a wave. An introduction to acoustic dynamics was given. Harmonics and resonance was then related to ratios (number/arithmetic) and the creation of form or geometries through sound.
The lesson consisted of more advanced geometrical reasoning and more axioms in geometry. An introduction to quadrilaterals and other polygons was given.
Breathwork and meditation was attempted. Sam has a hard time focusing without the use of sound to aid in meditation practices. The importance of discipline was discussed in relation to yoga as well as daily life.
The lesson consisted of an introduction to Chapter 4 material. We covered different types of triangles, triangle theorems, and angle relationships. We solved some problems with these and discussed congruent triangles.
The lesson consisted of more wave dynamics. The main topics were solving for the fundamental frequency of a wave and finding the higher harmonics or characteristic frequencies of a wave. An introduction to acoustic dynamics was given. Harmonics and resonance was then related to ratios (number/arithmetic) and the creation of form or geometries through sound.
Material from Chapter 3 was finished. A review of Chapter 3 was given with an assessment at the end. Several example problems were demonstrated for practice.
The lesson consisted of exploring more in depth into wave dynamics. I described the relationships between energy, vibration, frequency, wavelength, speed of waves, the cyclic nature of time, orbits, and the period of waves. We discussed the difference between light and sound.