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Phone: 847-537-8270

Superintendent: Dr. Michael Connolly

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CCSD21 is a school district comprised of 13 schools across 6 different communities in the northwest suburbs of Chicago.



School District 21 prides itself on its Professional Learning Community and its rich tradition of professional collaboration, high levels of professional development, and family-like atmosphere. If you see the opportunity to work with colleagues in making a difference in the lives of students and families in a truly diverse setting, School District 21 seeks your application.

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Sixth Grade

Mathematical Practice Standards

Essential Understanding

Successful mathematical thinkers engage in specific practices that facilitate their problem solving.


1. Make sense of problems and persevere in solving them.

  • What information do we need to begin this problem?
  • What will we need to do first?
  • How do you know if your answer is reasonable?
  • What would be another way to do this?
  • What connections can you make?


2. Reason abstractly and quantitatively.

  • Can you create a picture to show that?
  • Can you write that using symbols?
  • Explain your picture/symbols. What do they mean in context?


3. Construct viable arguments and critique the reasoning of others.

  • Why does this work?
  • How do you know?
  • Can you explain what he/she did?
  • These approaches are different; why did they both work?


4. Model with mathematics.

  • How does this picture/graph/table help us solve the problem?
  • Is there a different model that we could have used?


5. Use appropriate tools strategically.

  • What tool might be helpful in this problem?
  • What would be the most efficient tool to use?
  • Is your estimate too high or too low?
  • Whose estimate do you think is closest to the actual answer? Why?


6. Attend to precision.

  • Can you state that in a different way?
  • Who can summarize what he/she said?
  • How do you know your answer is accurate?
  • Does the problem require an exact answer?


7. Look for and make use of structure.

  • What patterns do you see? How are these helpful in this problem?
  • What predictions can we make based on this pattern?
  • What would come next?


8. Look for and express regularity in repeated reasoning.

  • What rule can I use that will always work in this type of problem?
  • Is there a more efficient way to do this?
  • What algorithm did you develop?
  • What algorithm did you use?
  • How can patterns help you solve problems and explain rules?
  • How can mathematical rules and shortcuts help you become a stronger mathematical thinker?