El Noi de la Mare is a Catalan folk song, both a lullaby and a Christmas song.
“Satin Doll” is a song written by Duke Ellington and Billy Strayhorn in 1953.
“Summertime” is a tune written by George Gershwin in 1934 for the opera “Porgy and Bess”, published in 1935.
A great exercise, in my opinion, is to start improvising on a well known melody or chord sequence, record the session and after transcribe the result on the score.
“12th Street Rag” is a ragtime composed by Euday L. Bowman in 1914 for piano solo.