The Common Core Standards address the “4 C’s”of 21st Century skills: Communication, Collaboration, Critical Thinking and Creativity. They also address Speaking Skills. I found some great Presentation Rubrics created by the Buck Institute (BIE.org), a leader in the PBL (Project Based Learning) field. Note that these rubrics address the speaking and presentation elements and not the content-specific ones, which could either be incorporated with these or done separately.
For Upper Elementary School:
For Middle School:
For High School:
for a link to download these rubrics (and read more clearly than the images included here), as well as some great additional information about 21st Century Skills, Common Core Standards and the connection to all content areas. I hope you find these useful !