Property Brothers Help Grandma Replace her Flooring

Grandma has old berber carpet that needs to be replaced in her house. The lumber liquidator quoted her 2,298.58 USD for two rooms. But the property brother (my two boys) and my husband will come to the rescue.

Help them figure out what they need to replace her flooring!

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?

      What kind of flooring will they buy?

      How big are the two rooms?

      Will they put an underlayment or shoe molding around the perimeter?

Making Assumptions

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 property boys with their math happening.

Doing the Mathematics

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?
 

Building a model

Sample Prompt:  

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

Once I figure it out for these rooms, could I build a model that can help me know how many boxes I need for other rooms in grandma’s house?

Evaluating 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?

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?

How much money did we save grandma by hiring the Property Boys? Even if grandma tipped them $200 each for the boys….

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