I work at the Thai-Chinese International School in Bangkok. TCIS provides an American curriculum based on the Common Core State Standards. Here are the links to these fundamental documents which identify what all students should know and be able to do at each grade level in mathematics and English Language Arts. Notice the English Language Arts standards also cover literacy in History/Social Studies, Science, and technical subjects.
English Language Arts: http://www.corestandards.org/wp-content/uploads/ELA_Standards1.pdf
Mathematics: http://www.corestandards.org/wp-content/uploads/Math_Standards1.pdf