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What resources are available for any grade level K- 12 that are aligned with the Common Core Mathematics Standards and Mathematical Practices that have sets of problems or problem banks that can be used by teachers for instruction or homework?

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So you're looking for problem banks with official endorsements? – Alexander Gruber Mar 25 '14 at 22:08
Yes, official endorsements would be wonderful or endorsements from educators that have actually used them. Free resources would be best but excellent sources of any kind appreciated. – Sue Thuma Mar 25 '14 at 22:59

The CME Project! It's a full four-year high school curriculum.

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+1. I love CME. For curricular resources focused on developing mathematical habits of mind (though they mostly predated the publication of the Common Core), also see: CPM - and Connected Math - and IMP - and Math in the City's Contexts for Learning - – benblumsmith Apr 20 '14 at 2:06

David Wees already mentioned in but I'd like to highlight Illustrative Mathematics - it's designed precisely for this purpose. (It's the brainchild of Bill McCallum, one of the lead authors of the Common Core math standards.)

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The Khan Academy has been developing a common core map. They have been working with Smarter Balanced and Illustrative Mathematics on the project.

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