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

## 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?

## 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?