The Standards for Math Practice (SMPs)
The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students.
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. This video from Making the Case introduces Common Core Standard #3 for Mathematical Practice: Construct viable arguments and critique the reasoning of others, and provides context about implementing the standard in your classroom practice. Reflections from teachers and from math education experts are also included.

ResourcesInside Mathematics (K12) has correlated the mathematical practice standards to excerpts of mathematics lessons with multiple examples of successful strategies to launch and sustain these practices.
The SMPs can be chunked into four groups: 