The piece played before class was Johann Sebastian Bach, Brandenburg Concerto No. 5 in D Major, BWV 1050 I. Allegro (c.1721):

 

Recordings of the music played in class are available here, arranged alphabetically by composer last name:

[no composer listed], dancing to a minuet

 

Johann Sebastian Bach, Brandenburg Concerto No. 2 in F Major, BWV 1047, I. Allegro (c.1721)

 

Joseph Haydn, Symphony No. 46 in B Major, III. Menuet (1772)

 

Jean-Baptiste Lully, Gavotte from Atys (1676)