Educational standards are the learning goals for what students should know and be able to do at each grade level. Education standards, like Common Core are not a curriculum. Local communities and educators choose their own curriculum, which is a detailed plan for day to day teaching. In other words, the Common Core is what students need to know and be able to do, and curriculum is how students will learn it.
The Common Core State Standards are educational standards for English language arts (ELA)/literacy and mathematics in grades K-12. Please click here to read the ELA Common Core State Standards and click here to read the mathematics standards.