1. Entry Task
What are the first 3 steps for constructing a line through point P that is parallel to the line.
Reflection Question: What are the main concepts or ideas that you learned in our class this week.

2. Spherical Geometry

3. Euclidean v. Non-Euclidean Geometry
We mostly focus on Euclidean Geometry in this class.
Things existing in the xy-plane (2 dimensions)
Things on the xyz-coordinate system (3 dimensions)
Today we will be exploring a type of Non-Euclidean Geometry called Spherical Geometry.
Things existing on a sphere.
There are other types of Non-Euclidean Geometry, such as hyperbolic and kinematic.

4. What is a sphere?
A sphere is the set of all points in space that are the same distance from a given point, called the center.
A great circle on a sphere is the largest circle around the sphere.

5. Lines and Line Segments
What are our definitions of line and line segment?
What would be a line on a sphere?
What would be a line segment on a sphere?
Explore Questions 5-15 on the handout. Use stickers for the points and rubber bands or string to represent the lines.

6. Triangles on a Sphere