Akihisa Yoshii attends Fumizuki Academy, a school where the staff rigidly divides the students based on the results of their academic scores. At the start of the school, students are academically sorted by entrance exam test grades. The higher the grades, the higher the class, and the better the benefits.
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In this case, Class A is filled with the highest-scoring students; therefore, their classroom was filled with many prestigious items (air conditioners, fancy seats, laptops, a free snack bar, etc.), while the state of Class F is the complete opposite of that, representing the "bottom of the barrel" amenities, such as mats and wooden tables.

The Academy have students where they can summon Summoned Beings. These Beings are used for battles between classes with the goal of capturing (or retaining) the best classroom facilities. Since Class A is filled with prodigies, they all have strong Summoned Beings, while Class F has drastically weak ones in comparison.

"This Anime rocks because I can relate to this. High school is not a good thing to do, but when I watch this, I wish high school was like this."

en.wikipedia.org/wiki/Baka_to_Test
Baka to Test
