In this episode an Aerial Anomaly is reported over at least seven locations in Los Angeles. These observations let Charlie plot the aircraft's likely flight path by using a new way of removing noise from noisy signals ("Squish-Squash").
In this clip Charlie helps his brother to investigate the relation between the two murders in order to find out who is the perpetrator and to determine the innocence of the man arrested one year ago. The illegal scheme used by the victim to gain money which is related to the concept of Geometric Progression or Geometric sequence.
This clip takes us into the universe through a series of steps, with each step being 10x larger than the previous. It illustrates the vastness of the universe and that increasing the field of view by a power of 10 makes a dramatic change in what we see.
Opie only gives three cents to a school charity fund for underprivileged children, and Andy tries to explain why he should've donated more to the cause. Andy uses ratios in an attempt to illustrate how many children are underprivileged, but Opie gets confused when Andy uses the term, "one-and-a-half boys."