“In-the-Money” vs “Out-of-the-Money” Call Options
First, welcome to Money.SE.  The selected page is awful. I don't know the value in listing different expirations at the same strike. Usually, all the strikes are grouped by month, so I'd be looking at Jan '15 across all strikes.  "In the money" means the price of a stock is trading above the strike price, if a call, or below it, if a put.  On 10/20 of some year, Intel was trading at $23.34. The January $25 call strike was just $0.70, and April's was $1.82. These were out of the money. The $25 puts were "in the money" by $1.66 so you could have paid $1.90 for the Jan $25 put, with $.24 of time premium.  By November, the price rose and the put fell, to $.85, all time premium.  As with stocks, the key thing is to only buy calls of stock that are going to go up. If a stock will fall, buy puts. Curious, what was the class discussion just before the teacher gave you this image?