This unit will be all about measuring things! What better way to begin a study of geometry? I bet you're excited!
In this unit we will learn about the rules of logic, and how logic can be used to build up a system of geometry, enabling us to prove facts like the angle sum of a triangle.
In this unit we will explore the basic tools of geometry: pencil, straightedge and compass. We'll define some rules around these tools and then try to use them to build up to a proof of the angle sum of a triangle.
In this unit we'll look at the important role that the parallel postulate plays in our system of Euclidean geometry, and in the assumptions we made in Unit 1.
In this unit we'll explore geometric tilings including tessellations and platonic solids.
In this unit we'll explore what happens when space itself is curved.
In this unit we'll explore how the coordinate plane enables us to combine the tools of algebra with the concepts of geometry resulting in the powerful discipline of analytic geometry.
I'm planning to add another measurement unit that would, among other things, cover volume including Cavalieri's principle.