Friday, December 08, 2006
Geometry (Class 34)
Overview
§5.3 Medians and Altitudes of a Triangle
Today student finish and turn in their work relating to the balance point of a triangle. They also take Quiz 5, which focuses on §5.1 to §5.3 (medians only) of the text.
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
The center of mass of an object is the location at which the object will balance.
For some triangles, the center of mass can be located by constructing the circumcenter of the triangle.
For some triangles, the center of mass can be located by constructing the incenter of the triangle.
A median of a triangle is created by connecting a vertex with the midpoint of the opposite side of the triangle.
The medians of a triangle are concurrent and the point of concurrency is called the “centroid”
The centroid of a triangle is the balance point, the center of mass, of the triangle.
Key Skills
Measuring lengths using a ruler (cm).
Drawing and constructing the medians of a triangle.
Drawing and constructing the centroid of a triangle.
Vocabulary
Assignment
Balance the Triangle Part 3 (It will be collected!)
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