• 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.

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Explore this site to learn more about the Common Core Standards for Mathematical Practice (SMP) and how they can be connected to the content standards. Use our Illustrations, centered on student dialogues, to see the Standards for Mathematical Practice in action. 

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Mathematical Practice 1: Make sense of problems and persevere in solving them. 

Choosing Samples

In this Illustration students are investigating what samples of 5 rectangles will give them the best estimate of the average area of a set of 100 rectangles. They generate and test two ideas for how to take samples—having their peers choose 5 random numbers and using those numbers to select samples and having their peers choose 5 rectangles by looking at the rectangles—and then they begin to discuss the difference in the two estimates their two methods generate. 

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