Friday, May 23, 2008
Geometry (Class 84)
Announcements
Test today-- Chapter 10: Circles
Lesson Title
Law of Sines 2
Overview
The warm-up for today’s class focuses on connecting the algebraic skill of completing the square with the geometry of circles. Students see how this skill can be used to find the length of the radius and the location of the center of a circle. The lesson today will be brief-- we will make further progress in developing the Law of Sines but time is limited. The class will finish with students writing the last regular test for the year.
Textbook Sections
Supplementary
Vocabulary
center
inscribed angle
central angle
radius (pl: radii)
chord
diameter
sections of intersecting chords
extended chords
inscribe
cyclic quadrilateral
Key Attitudes
Math is about thinking creatively.
Key Ideas
The Law of Sines is a consequence of relationships between arcs and angles of circles.
Th eLaw of Sines can be sued to find missing side lengths or angle measures of triangle including those which are not right triangles.
THe Law of Sines is a proportion stating that the ratio of the side length and the sine of the opposite angle is the same for all side/opposite angle pairs in any triangle.
Key Skills
I can use right triangle trigonometry to solve a problem.
I can show how the Law of Sines is a consequence of the relationships between arcs, angles, and segment lengths in a circle.
I can use the Law of Sines to solve for missing length sides and angles in a triangle.
I can recognize a situation where using the Law of Sines would be useful.
I can translate a situation into an equation involving the Law of Sines and solve that equation.
Turn-In (#83)
Txt. p. 650 Chapter 10 Review #1-23
Txt. p.653 #2-19 (Optional)
Complete Chapter 10 Outline
Handouts
Graphing Circles by Completing the Square
Benchmark Test 3 Answers
Mid-Year Test Answers
Assignment
Benchmark Test 3
Mid-Year Test
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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