Geometry is meant to lead students to an understanding that reasoning and proof are fundamental aspects of mathematics and something that sets it apart from the other sciences. Within this course, students will have the opportunity to make conjectures about geometric situations and prove in a variety of ways, both formal and informal, that their conclusion follows logically from their hypothesis. This course is meant to employ an integrated approach to the study of geometric relationships. A major emphasis of this course is to allow students to investigate geometric situations. It is intended that students will use the traditional tools of compass and straightedge as well as dynamic geometry software that models these tools more efficiently and accurately, to assist in these investigations.
Students will explore the following topics:
- Integrating synthetic, transformational, and coordinate approaches to geometry
- justify geometric relationships and properties of geometric figures
- congruence and similarity of triangles will be established using appropriate theorems
- transformations including rotations, reflections, translations, and glide reflections and coordinate geometry
- properties of triangles, quadrilaterals, and circles will be explored
Students will explore the above topics further in Geometry Advanced.