Discussing waveforms at a party is a great way to get others out of the room you’re in, but they are vitally necessary when understanding light, radio, and sound. In fact, most practical engineering uses either the attributes of the electromagnetic spectrum (light, radio, x-rays, gamma rays, etc.) or the vibrations of molecules (sound) in some way, shape, or form.
Someone by the name of ThePudding took the time to create an interactive instructional model to help the non-geeks on the internet understand how sound waves work, and by virtue of it also enable them to understand portions of how the EM spectrum works as well.
It will take about ten or twenty minutes of your time, but it is well-worth the read.