Early Education

959 West Dundee Road
Wheeling, Illinois 60090

847-537-8270

Find a School
|

## 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?