Wednesday, December 20, 2006
Geometry (Class 38)
Overview
Today we conclude our work which focused on the question “How can you determine if it is possible to construct a triangle when you are given three segments?” We also begin working towards answering the question “How can we define ‘parallelogram’?”
Key Attitudes
Mathematics can be a tool for investigating and uncovering facts.
Investigating requires creativity and persistence.
If you don’t first succeed, try, try again.
Key Ideas
It is not always possible to construct a triangle from three segments.
In order for a triangle to be constructed from three segments, the sum of the lengths of any two sides must be greater than the length of the third side.
In a triangle, the smallest side is always opposite the smallest angle, and the largest sides is always opposite the largest angle.
A parallelogram can be defined in many ways.
Key Skills
Summarizing
Investigating
Working with a group to develop consensus
Drawing and measuring
Vocabulary
polygon
convex
concave
quadrilateral
parallelogram
Handouts
Properties of Parallelograms
Geometry Semester 1 Final Exam Review
Assignment
Final Exam Review (Due day of Final)
Mid-Segments of a Triangle