Unit Overview:
This unit lays the foundation for vocabulary, geometric tools, and geometric methods used throughout the course. It is intended to be a hands-on introduction to geometry. The unit begins with the essential elements of Geometry followed by the constructions of these basic elements to help students understand the foundations of Geometry. During this unit students will learn how to utilize deductive and inductive reasoning to justify their statements. This must be taught at the beginning of the school year in order for students to understand the origins of Geometry and its many facets.
Enduring Understanding:
This unit lays the foundation for vocabulary, geometric tools, and geometric methods used throughout the course. It is intended to be a hands-on introduction to geometry. The unit begins with the essential elements of Geometry followed by the constructions of these basic elements to help students understand the foundations of Geometry. During this unit students will learn how to utilize deductive and inductive reasoning to justify their statements. This must be taught at the beginning of the school year in order for students to understand the origins of Geometry and its many facets.
Enduring Understanding:
- Any points, lines, planes, angles, and circles can be represented in an infinite number of ways throughout geometry.
- Formal geometric constructions can be created with a variety of tools and methods.
- Conclusions can be drawn using deductive and inductive reasoning.
- How can you create intersections of various geometric objects?
- How do you construct a congruent segment/angle, the bisector of a(n) segment/angle, perpendicular lines/parallel lines through a given point, and perpendicular bisector?
- How can you construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle applying basic methods of constructions?
- What are the key elements of a geometric proof and how do you know if your reasoning is valid?
- How can you use deductive reasoning to verify that a proof is mathematically sound?
- How can you differentiate between deductive and inductive reasoning?
