Wednesday, June 03, 2009
Geometry (Class 86)
Lesson Title
Circles (5): Outside or Inside
Overview
The opener today gives students the opportunity to continue their work with the practice problems from Chapter 10- Lesson 2, Lesson 3, and Lesson 4. We then either finish up Lesson 4 or go straight into working with some other surprising angle relationships resulting from intersecting segments whose point of intersection is either outside or inside the circle.
Textbook Sections
§10.4 (Txt. p.621) Other Angle Relationships
Vocabulary
circle
circumference
diameter
radius
chord
secant
tangent
central angle
arc
arc length
arc angle
inscribed angle
inscribed arc
Key Attitudes
Math is about building up understanding one idea at a time.
Key Ideas
The measure of an exterior angle of a triangle is equal to the sum of the remote interior angles.
The measure of a inscribed angle is half of the measure of the arc it captures.
If two extended chords intersect at a point outside a circle, then the measure of the angle between these extended chords is equal to half of the difference of the arcs the extended segments capture.
The angle between a tangent and a chord drawn from teh point of tangency is half of the intercepted arc.
The angle between two tangents is half of the difference of the intercepted arcs.
The angle between two intersecting chords is equal to half the sum of the measures of the intercepted arcs.
Key Skills
I can solve problems related to segments which intersect inside, on, or outside of a circle.
Turn-In (#85)
Chapter 10- Lesson 3: Practice 1
Handouts
Chapter 10: Lesson 5- Inside or Outside-- Measuring Angles
Assignment
Chapter 10- Lesson 3: Practice 2
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
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