Problem Posing

Sample Prompt:  

• • What do you wonder about?
  • From the list of wonders, how can we use math to make a decision? How can math serve our needs?            
  • What do you notice? What do you wonder?
  • What is interesting or important about this situation?
  • Who cares about this situation?

What other information do you need?  Are there important quantities?

• How many students are in each grade?

• How many days do we have left of school?

Making Assumptions and Considering the Variables

Sample Prompt:  

Gathering Information

• • If I knew______, then I could figure out_______
  • Let’s assume__________.
  • What assumptions can we make around the problem to simplify the problem posed?

• Here is some information to help the with their math happening.

• 50 students in each grade

Solving- Doing the Mathematics/Building a model

Sample Prompt:  

• What math do you know that can help you solve the problem?
• What are some common misconceptions that could arise at this stage, and how can they be addressed?

Sample Prompt:  

• How might we use our solution to other similar problems?
• Can this solution help us with other problems?

 Is there a model/formula that I can reuse or share with other types of problems/phenomenon in our real world?

How can I use the math that I know to be more efficient with this problem?

Analyzing and revising the model

Sample Prompt:  

• How might we become even more precise with our model?
• How might our model change if we changed some of our previous assumptions?

Reporting out- Sharing & Connecting Real world Math to school math

Sample Prompt:  

• How does all the math we used in this problem relate to what we covering as math topics this year?
• Can you identify all the math and strategies we used to tackle this problem?