An easy way to do common core aligned quick checks for specific standards is using apps or sites such as Common Core Quest from Open Ed (app for iPad and Android). CC Quest could be used in isolation or along with the main Open Ed website. Open Ed is a classroom resource library of lessons, activities, videos, etc all aligned to the CCSS. The app can be used as a stand alone. Students would need to log in with their school google account, they can choose their grade level and either Math or ELA. From there, each standard has a quick 3 to 5 problem quiz that assess their mastery of the standard. If they do not do well, the app will suggest sites or videos to visit to continue practicing that skill. This would be a great way for students to check mastery, as well as many questions have multiple parts, similar to the Smarter Balanced Assessment.
Open Ed. From there you are able to enter in students and establish usernames and passwords for them, especially for young students or students in districts were email use is not allowed. Adding students into a class in the website will also allow for the teacher to monitor which standards students have taken and how they have done. More features on the website include lessons and resources aligned to the standards that teachers can assign to the class. Most resources are open source (free access) though there are also lesson and activities from some paid subscription sites.
It's worth the time to explore!