The grades you have been given are just "names" and will vary depending on which school you choose but that doesn't mean one grade is lower or higher than another. For example, different
International Schools may call their grades "reception, year 1, year 2", others may have "K1, K2, Grade 1" or "Kindergarten, Grade 1, Grade 2". They may call different sections of the school "infants, juniors, seniors" or "elementary, junior, middle, high". Best to forget what the grade is called and look at what age the children are and how long they have been in school. The cut-off date for different grades varies between schools as well eg may be 1st Sept or 1st January. Most likely you are getting good advice from the admissions people on the appropriate grade, but if you can, agree some flexibility if you find grade placement is a bit off when you get here.