The Geometry of a Circle - By: Dennis Kapatos

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$By: Melissa Hanel Math B/Grade 11 5 Day Unit Plan Technologies ...$

9. Teacher will tell students to enter the 3 new theorems into their notes as they go, they’ll prove 12.4 for homework. 10. After experimenting with GSP, teacher will work with student to solve original question (they will have to identify a right triangle and use some right angle trigonometry. 11. Teach will have student’s summarize what they’ve learned (the three theorems) and how they used the theorems to get an exact answer. Homework: Read proof of Theorem 12.2 on page 594, prove Theorem 12.4, and on page 596 of the textbook questions 1-8, 14-16, and 22
Satellites There are thousands of satellites circling the Earth right now tens of thousands of miles from the surface. They are used for any from relaying cell phone calls and televisions programming, to tracking weather systems and locating ships using GPS (global positioning systems). They can only see a portion of the earth’s surface at a time but the higher a satellite’s altitude, the more it can see. How far can the satellite see around the Earth (in degrees) from an altitude of 22,236 miles? (Note: The radius of the Earth is 3960 miles.) The above altitude puts the satellite at a geosynchronous orbit, how much could it see if it had a higher orbit? Satellite Earth Altitude = 2.72 cm Visible Area = 5.17 cm Can a satellite see half-way around the earth, that’s 180 degrees, if it has a high enough orbit? Why?
Page 1 and 2: The Geometry of a Circle Geometry (
Page 3 and 4: G.CN.7 Recognize and apply mathemat
Page 5 and 6: Lesson 1: Introduction to Circles D
Page 7 and 8: Notice that some areas of Bob’s f
Page 9 and 10: 15) Fill in the blank: The equation
Page 11: Lesson 2: Tangents Discovering and
Page 15 and 16: Lesson 3: Properties of Chords and
Page 17 and 18: Locating the Center of the Satellit
Page 19 and 20: 8. Class will discus why they think
Page 21 and 22: 8. For rest of period, students wil
Page 23 and 24: 80 70 60 50 m CE on AB = 60.00 ° m
Page 25: Corollary 3 The opposite angels of

The Geometry of a Circle - By: Dennis Kapatos

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