It can feel like a daunting task - finding engaging lessons that help students understand the conceptual foundations of mathematics. I'm often asked where to find ideas for lessons. One of my favorite resources is the Ohio Resource Center (ORC).
www.ohiorc.org
The ORC has more than just mathematics - it is also a great resource for language arts, social studies, and science! However, mathematics is near and dear to my heart and when I use the ORC it is typically for math ideas.
http://www.ohiorc.org/for/math/
When you visit the Mathematics page of the ORC, you can click on the first link at the center of the page. This will take you to the standards - and you will find both the "old" Ohio Academic Content Standards/NCTM's Principles and Standards as well as the "new" Common Core State Standards for Mathematics.
http://www.ohiorc.org/standards/math/
If you click on the Common Core link, it will take you to the ORC's resources that have been aligned for Common Core. There are suggestions for activities to help develop the Mathematical Practices as well as content-specific lessons. Many of the lessons come from NCTM - the National Council of Teachers of Mathematics.
A wonderful feature about the ORC is that all of the lessons that are on the site have been reviewed by mathematics educators in Ohio. With so many resources available on the internet, I find that the ORC helps narrow the resources so that I am looking at high-quality suggestions for teaching. It is also helpful to look at assessment items (from NAEP and others) that have been aligned to standards so that you get a sense of what sort of content is specific to that mathematics standard.
There is also a Mathematics Bookshelf and Problem Corner as well as some other features on the main page for mathematics. If you haven't had a chance to explore the ORC, take time to check it out!
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