Better Bus routes

https://theconversation.com/school-bus-routes-are-expensive-and-hard-to-plan-we-calculated-a-better-way-74119

http://www.ams.org/publicoutreach/mathmoments/mm141-bus-bunching-podcast

http://setosa.io/bus/

https://www.citylab.com/transportation/2018/07/math-explains-why-your-bus-is-so-late/564200/

https://www.ibm.com/blogs/research/2017/07/predictive-analytics-bus-bunching/

 

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 stops on the bus route? What is the busiest stop with most riders? What is the most congested area/stop? What is the destination starting point and last stop?
      How many kids/adults can sit on the bus?

       

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.

    School roster

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 bus drivers and riders?

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?