While looking for some simplified explanations of the CCSS, I stumbled across the Council of the Great City Schools website.
For your convenience and mine, I have also placed links to these docs in the subject/topic specific pages I created here.
This organization has created PDF documents that can be shared with parents to help simplify the CCSS. Take a look...here are links to the 6th Grade through High School Math docs:
There are also similar documents for the English CCSS.
***The Parent Roadmaps to the Common Core State Standards may be reprinted or posted online for non-commercial purposes without the Council’s prior consent. Please include attribution to the Council of the Great City Schools.