Most states will have to rethink their approach to teaching critical analysis of all kinds of information, as the standards require that students be able to:
Gather relevant information from multiple print and digital sources, assess the credibility and accuracy of each source, and integrate the information while avoiding plagiarism;
Draw evidence from literary or informational texts to support analysis, reflection, and research; and
Interpret mathematical results in the context of a situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.
This article from Alan November discusses "web literacy" and the kinds of skills essential for digitally literate students and where these skills are found in the Common Core State Standards. He makes a compelling argument for teaching these skills to students and provides some ideas about how it may be accomplished.