you and I will learn our lesson

when talking about yourself in addition to another person, there are two rules to follow:

1. put the other person ( or Peale) before yourself

ex. peter and I went to the store

NOT "I and Peter went to the store"

2. say "I" or "me" etc. the same as you would without the addition of the other person or people

ex: "peter and I went to the store"

NOT "peter and me went to the store"

because if Peter hadn't gone with you, you would say "I went to the store" NOT "me went to the store"