Course information :
Lectures | Homework | ||||||
Dates | Sections | Topics | Problems | Due date | |||
August | |||||||
Week 1 | 19 | F | 1A, 1B | Congruent Triangles. |
1B: 1, 3, 5, 7, 8.
Solutions. |
8/29. | |
Week 2 | 22 | M | 1B | |
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24 | W | 1B | |
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26 | F | 1C | Angles and parallel lines. |
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Week 3 | 29 | M | 1D | Parallelograms. |
1D: 4, 6, 7, 8, 9, 10; challenge: 12, 13.
Solutions. |
9/7. | |
31 | W | 1D | |
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September | |||||||
2 | F | 1E | Area. |
1E: 1, 3. Solutions. |
9/16. | ||
Week 4 | 5 | M | No class. |
Labor Day. | |||
7 | W | 1E | |
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9 | F | 1F | Circles and arcs. |
1F: 1, 2, 6, 7, 10; challenge: 5, 9, 12, 14.
Solutions. |
9/16. | ||
Week 5 | 12 | M | 1G | Polygons in circles. |
1G: 2 or 3. Solutions. | 10/5. | |
14 | W | 1H | Similarity. |
1H: 3, 5, 6, 8; challenge:
1, 4, 7, 11. Solutions. |
10/5. | ||
16 | F | 1H | |
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Week 6 | 19 | M | 1H | |
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21 | W | Exam I. Review. Blank exam. Solutions. |
Covers: 1B, 1C, 1D, 1E, 1F. |
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23 | F | 1H | |
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Week 7 | 26 | M | 2A | The circumcircle. |
1, 3; challenge: 4, 5; Solutions. |
10/14. | |
28 | W | 2B | The centroid. |
1, 3; challenge: 2, 5; Solutions. |
10/14. | ||
30 | F | 2C | The Euler line, orthocenter, and nine-point circle. |
1, 3; challenge: 2, 5. Solutions. |
10/24. | ||
October | |||||||
Week 8 | 3 | M | 2C | |
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5 | W | 2C | |
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7 | F | 2C | |
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Week 9 | 10 | M | 2D | Computations. |
1, 3; challenge: 2. Solutions. |
10/24. | |
12 | W | 2D | |
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14 | F | 2E | The incircle. |
1, 3; challenge: 2, 4, 5; Solutions. |
11/4. | ||
Week 10 | 17 | M | 2E | |
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19 | W | 2E | |
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21 | F | No class. |
Fall break. | ||||
Week 11 | 24 | M | 2F | Exscribed circles. |
1; challenge: 2; Solutions. |
11/4. | |
26 | W | Exam II. Review. Blank exam. Solutions. |
Covers: 1G, 1H, 2A, 2B, 2C, 2D. | ||||
28 | F | 3B | The butterfly theorem. |
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Week 12 | 31 | M | 3B | |
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November | |||||||
2 | W | 3C | Cross ratios. |
2, 4, 8; Challenge: 1, 5, 7, 10. Solutions. |
11/18. | ||
4 | F | 3C | |
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Week 13 | 7 | M | 3C | | |||
9 | W | 4A | Ceva's Theorem. |
2, 3; Challenge: 4. Solutions. |
11/18. | ||
11 | F | 4A | |
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Week 14 | 14 | M | 4B | Interior and exterior cevians. |
1, 2. Solutions. |
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16 | W | 4C | Ceva's Theorem and angles. |
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18 | F | Exam III Review. |
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Week 15 | 21 | M | Exam III. Review. Blank exam. Solutions. |
Covers: 2E, 2F, 3B, 3C, 4A. | |||
No class. |
Thanksgiving holiday: 11/23 - 11/27. |
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Week 16 | 30 | M | 4C | |
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December | |||||||
2 | W | 4D | Menelaus' Theorem. |
1, 2, 3, 4. Solutions. |
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4 | F | 4D | |
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Finals week | 5 | M | Final Exam, 9 - 12. Review. Blank exam. Solutions. |
Cumulative. |