Friday, June 05, 2009
Geometry (Class 87)
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 will work to finish our lesson from last class concerning the relationships between the angles of intersecting segments and the arcs which they capture.
Also, as posted previously, students may earn extra credit by studying for the final exam in the following manner:
1) Print a copy of an old test (see links below).
2) Work the problems correctly.
3) Turn in the test on the day of the final-- al of the ones you do.
For each test completed as described above, students will receive 10 points of extra credit (Learning Skills).
Geometry Test 1A
Geometry Test 2A
Geometry Test 3A
Geometry Test 4A
Geometry Test 5A
Geometry Test 6A
Geometry Test 7A
Geometry Test 8A
Geometry Test 9A
Geometry Test 10A
Geometry Test 11A
Geometry Test 12A
Geometry Test 13A
Textbook Sections
ยง10.4 (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 (#86)
Chapter 10- Lesson 3: Practice 2
Handouts
Chapter 10: Lesson 5- Inside or Outside-- Measuring Angles
Assignment
Chapter 10- Lesson 5: Practice 1 (At the end of the Chapter 10- Lesson 5).
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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