While geometry means measuring the earth, too often it is presented in an axiomatic way, divorced from reality and experiences. Over the course of the semester, we will have diverse and increasingly sophisticated assignments in order to satisfy the speaking designator on the class and to meet the catalog requirements of concept development and connections among mathemtaical perspectives. For this assignment, your grade will not based on the quality of your presentation. Instead it is based on your ability to reflect on what and how you presented.

In this project, we will use intuition from our previous geometry knowledge along with experiences from hands on models and searching skills. The purpose of this assignment is an introduction to the topics in the course syllabus as we explore diverse perspectives and connections and get to know each other:

- Introduce the group members.
- Briefly review related content that applies to the geometry of the plane / Euclidean geometry / flat geometry.
- Discuss why the topic is important in mathematics and the real-world.
- Summarize diverse perspectives of your sphere problem in your own words.

- Summarize the content of your portion of the presentation (if you created informal bullet points or notecards to use, these would suffice for this portion).
- In terms of the clarity of the content you presented what aspects went well? What aspects could have been improved?
- In terms of the depth of the content you presented, what aspects went well? What aspects could have been improved?
- In terms of the creativity of your presentation style, what aspects went well? What aspects could have been improved?
- In terms of the success of your presentation style, what aspects went well? What aspects could have been improved?

For part 3 of your presentation, searches like

"triangles are important"

or a search word related to your problem and then (with and without quotations) words like important, interesting, useful, or real-life applications. You might also pick some specific fields to see if there are applications:

Pythagorean theorem chemistry

For part 4 of your presentation, you do not need to prove an answer or completely resolve the issue on the sphere. You should look for various perspectives related to spherical geometry, and summarize those in your own words. Try different combinations of search terms related to your problem along with words like sphere, spherical, earth, or spherical geometry. Vary your word combinations:

Spherical Polyhedron

Polyhedra on a sphere

yield very different results, and quotations can be helpful if there are too many results:

"straight lines on a sphere"

In Wallace and West