Mathematics for Secondary Teachers:
Geometry
(MATH 424/5524, Department page)
Offered Fall only
Fall 2008
Time and Place: TR 3:15-4:30 pm, Room 311 Royall Hall
Professor: Richard Delaware
Office Hours: See Current Semester Office Hours
Office: Room 306 A, Manheim Hall
Mailbox: Room 206, Haag Hall, Dept. of Mathematics & Statistics
Phone: 816.235.2850
Email: delawarer@umkc.edu
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Dated Announcements (Most recent at the top)
- R 4 September 2008
- Homework 2: DUE R 11 Sept. (8 exercises)
7.2.2, p.312: 6, 10, 12.
7.2.3, p.320: 8, 10.
7.2.4, p.323: 4, 6.
7.2.5, p.328: 4.
- R 21 August 2008
- Homework 1: DUE R 28 Aug. (9 exercises)
7.1.1, p.282: 4, 6.
7.1.2, p.289: 5, 6.
7.1.3, p.294: 7, 11.
7.1.4, p.302: 4, 6(a)(Recall the proof of Th. 7.1).
7.2.1, p.305: 5(a)(b).
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Web Sites with Graphers and Other Math Applets
Visit the web sites below. I think you’ll like what you see. Let me know if you discover any others.
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Syllabus, Texts, Grading
PREREQUISITES:
TEXTs:
- Mathematics for High School Teachers: An Advanced Perspective, by Usiskin, et al., Prentice Hall, 2003.
- We will cover Chapters 7-10, and part of 11.
- Cliffs Quick Review, Geometry, 1994 (Recommended by the first 424 class)
EXAMS:
- There will be three 75 min. Exams (100 points each) during the semester, each given a letter grade for your convenience.
- The FINAL EXAM (150 points) will be held in our usual classroom, 3:30 - 5:30 pm, on THURSDAY Dec. 11, 2008.
HOMEWORK & PROJECTS:
- A list of suggested homework problems will be posted here. Selected problems will be collected and graded.
- Four (4) short projects/papers will be required, some chosen from approved projects appearing at the end of Chapters 7-11 in the text.
- For assignments use only one side of standard 8˝ x 11 paper. When due, put it on my desk at the start of class.
- Late assignments of any kind are NOT accepted, except by prior arrangement.
GRADES:
- 20% -- Homework
- 30% -- Projects (7.5% each)
- 30% -- 3 Exams (75 min.; 100 pts each; 10% each)
- 20% -- Final Exam (150 pts)
- I use grading software to provide grade reports. At the end of the semester before the Final Exam is recorded, I will drop your "most damaging" score. However, the Final Exam cannot be dropped.
NOTES:
- Reading Chapter 1 is essential to understand the philosophy of the text.
- Graphing or computer algebra technology can be helpful. We may also discuss "Geometer's Sketchpad".
- You will not be able to do every suggested problem. But to succeed, you must try a good number.
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Suggested Homework Problems [Subject to change]
Note: GSP abbreviates "Geometer's Sketchpad", but stands here for any dynamic geometry program.
Chapter 1
Chapter 7
- 7.1.1, p.282: 1, 2, 3, 4, 5, 6, 7.
- 7.1.2, p.289: 1, 3, 4, 5, 6, 7.
- 7.1.3, p.294: 2, 3, 4, 6, 7, 8, 9, 11, 14, 16.
- 7.1.4, p.302: 1, 2, 3, 4, 6, 7.
- 7.2.1, p.305: 1, 2, 3, 4.
- 7.2.2, p.312: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
- 7.2.3, p.320: 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12.
- 7.2.4, p.323: 1, 2, 3, 4, 5, 6.
- 7.2.5, p.328: 1, 2, 3, 4, 6, 9.
- 7.2.6, p.332: 1, 2, 3, 4, 5, 9, 11, 13, 15, 16, 17.
- 7.3.1, p.338: 1, 3, 4, 5, 6, 7, 8, 9, 13.
- 7.3.2, p.343: 1, 2, 3, 4, 5, 7, 9, 13.
- 7.4.1, p.350: 1, 2, 3, 4, 5, 7, 8, 9.
- 7.4.2, p.353: 1, 3, 4, 5(GSP), 7, 11, 12.
- 7.4.3, p.356: 3, 5.
- Projects, p.357: 1, 2, 3, 4, 5.
Chapter 8
- 8.1.1, p.367: 3, 4, 5, 7, 8, 9, 10, 12.
- 8.1.2, p.374: 1, 2, 4, 5, 7(GSP), 10, 14(GSP), 16.
- 8.1.3, p.378: 2, 3, 4, 5, 8.
- 8.1.4, p.382: 1, 2, 4, 11ab, 12.
- 8.2.1, p.390: 2, 5, 6, 8, 9, 11, 13, 14.
- 8.2.2, p.395: 1, 3, 4, 6, 8, 10.
- 8.2.3, p.399: 2, 4, 5, 7, 8, 9, 10, 12.
- 8.2.4, p.403: 1, 3, 5, 6, 7.
- 8.2.5, p.407: 3, 4, 5.
- 8.2.6, p.414: 2, 3, 5, 6, 9, 12, 13.
- 8.3.1, p.418: 7, 8, 9, 10, 12.
- 8.3.2, p.426: 1, 2.
- Projects, p.428: 1, 3, 4, 5(GSP), 6(GSP), 7(GSP), 8(GSP), 9.
Chapter 9
- 9.1.1, p.434: 3, 4, 5.
- 9.1.2, p.439: 1, 2, 3, 6, 7, 8.
- 9.1.3, p.443: SKIP
- 9.2.1, p.449: 2, 3, 4, 5, 6.
- 9.2.2, p.455: 3, 4, 8.
- 9.2.3, p.458: 1, 2, 3, 4.
- 9.3.1, p.462: 2, 3, 6, 7.
- 9.3.2, p.468: 1, 4, 6.
- 9.3.3, p.474: 1, 2, 3, 4.
- Projects, p.474: 1, 2, 3, 4.
Chapter 10
- 10.1.1, p.485: 3, 4, 5, 8, 10, 11, 12, 15, 16, 17.
- 10.1.2, p.491: 3, 5, 7(GSP), 9, 10, 11, 12, 13, 14.
- 10.1.3, p.498: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12abc.
- 10.1.4, p.504: 1, 2, 3, 4, 7.
- 10.1.5, p.508: 2, 3, 5.
- 10.1.6, p.510: 4, 6.
- 10.2.1, p.514: 5, 7.
- 10.2.2, p.522: 1, 2, 3, 6.
- 10.2.3, p.527: 2, 3, 4, 8, 9, 10.
- 10.3.1, p.532: 1, 2, 4, 5, 6.
- 10.3.2, p.536: 1, 2, 3, 6, 7.
- 10.3.3, p.540: 3, 4, 5, 6.
- 10.3.4, p.544: 1, 2.
- Projects, p.544: 1, 2, 3, 4(GSP), 5, 6, 7, 8, 9.
Chapter 11
- 11.1.1, p.551: 3, 4, 5, 9(Young's), 10.
- 11.1.2, p.556: 1, 3, 4, 5, 7, 8.
- 11.1.3, p.563: 1, 2, 3, 5, 6, 8, 11.
- 11.1.4, p.568: 1, 2, 3, 4, 5.
- 11.1.5, p.571: 1, 2, 3, 4, 5b(Young's).
- 11.2.1, p.575: 1, 2, 3, 5, 6, 9(Young's).
- 11.2.2, p.580: 1, 2, 4, 5.
- Projects, p.580: 1, 2, 3, 4, 5, 7, 8.
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Exam Outlines [Posted here as needed]
Exam 1 (Ch. 7, 7.1-7.4)
- Possibilities [Subject to change]
Exam 1 Outline
Exam 2 (Ch. 8, part of Ch. 9)
- Possibilities [Subject to change]
Exam 2 Outline
Exam 3 (rest of Ch. 9, and Ch. 10)
- Possibilities [Subject to change]
Exam 3 Outline
Final Exam (Chapters 7-10) - Possibilities [Subject to change]
Final Exam Outline
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