His first name is the name he was given at birth. It's not a name that I necessarily would have picked, but 7 years old is a little late in life to go through a name change, and Max is a perfectly fine American name. So it stays.
His middle name is a name that we have chosen for him. All of our biological children have unique middle names that start with J. Alexander Jase, Annabel Jorlie and Louisa Jaynen. So his new name had to fit our pattern.
Now if you aren't familar with the Russian patronymic naming system, you wouldn't know that all children take their father's name as their middle name with the appropriate suffix - evich for boys, - evna for girls (or something really similar depending on what the father's name is). So with Jory as his new father, Joryevich is his perfectly legal Russian patronymic name. With a nod to his motherland, we think the name is clever and fitting for our son, Max "the son of Jory" Peterson.