*NOTE: As a component of OpenLab #6, each person should bring to class a conjecture or question about theÂ Bridges and Walking Tours game.*

**Group Activity (30 min).** Â Get intoÂ your groups, arrange your chairs in a circle, and take 30Â minutes to:

1. Each person should share theirÂ conjecture with the group. Â For each conjecture, the group should decide if they think it is true or false (or don’t know). Â The group should record their conclusion for each conjecture.

2. Choose one conjectureÂ (or create a new one) to focus on as a group. Â Your goal for the next few weeks will be to try to prove or disprove this conjecture. Â Come up with several ideas about how you might prove it.

**Group work due after 30 minutes:** Â Each group will hand in a sheet of paper with the names of the group members, the date, and theÂ following:

– Each member’s conjecture, along with a brief description of what the group thinks – is it true or false?

– Be sure to clearly indicate which of the conjectures the group has chosen to work on – or, if you have created a new conjecture to work on as a group, include that as well.

– Two different ideas about how you might try to prove the chosen conjecture.

**Reflection:** Â To be completed individually after group work is complete, and submitted on paper with your names and the date. Â Take 5 minutes to write on the following prompt:

Briefly reflect on the process of working in a group by responding to each of these points:

1. Â Describe somethingÂ you learned.

2. Â Describe something you contributed to the group.

3. Â How did todayâ€™s workÂ change your understanding of your assigned game?