| Week | M | W | Homework | Due |
|---|---|---|---|---|
| 8/25/14 | Introduction and Administrivia | Discission of axiom systems, especially the SMSG axioms. Properties of lines. 1.3 Mathematical Propositions. |
read Introduction and sections 1.1-1.4 by next week. If you don't have the book yet, here are the the first 33 pages. |
Nothing is actually due next week. Just do the reading. |
| 9/1/14 | No Class (Labor Day) |
1.1 Angles |
Problems marked in red should be written up and handed in. 31, 33, 34, 38, 40,41,47, 49, 50, 51. Read through section 1.6 |
9/10/14 |
| 9/8/14 | 1.2 Perpendicular Lines 1.4 Polygons and Triangles |
1.5 Isoceles Triangles 1.6 Congruence tests |
Do not use triangle congruences other than SAS for problems 67-74. 67, 69, 70, 71, 72, 73, 75, 77, 79, 81, and this problem. Read through section 1.9 |
9/17/14 |
| 9/15/14 | 1.6 Congruence, continued 1.7 Triangle inequalities |
1.8 Right triangles 1.9 Segment and Angle Bisectors |
87, 88, 91, 92, 94, 95, 101, 103, 106, 107, 110, 111 Read through section 1.11. |
Originally due Wed 9/24, but now due Monday, 9/29 because of the fire. |
| 9/22/14 | 1.10 Basic construction problems | No class due to fire in math building | 115, 120, 121, 123, 125, 129, 130, 133, extra credit: 136. In construction problems, you must give the steps of the construction (in order), and then prove that your construction solves the problem. You may assume problems 1-7 in chapter 1.10 as known (ie, you can say "drop a perpendicular from D to line AB") Read the rest of chapter 1. |
10/1/14 |
| 9/29/14 | 1.11 Parallel lines | 1.12 Angle sums in polygons |
none due this week; prepare for the midterm. But look at 141, 150, 151, 152, 153, 155, 157, 164, 169. | |
| 10/6/14 | review | first midterm | ||
| 10/13/14 | go over midterm 1.13 Parallelograms and trapezoids |
1.15 Constructions and symmetries | 179, 180, 199, 201 (In 201, the two lines should not be parallel), 202, 207, 208, 213, 215, 221 Read 2.1-2.4 |
10/22/14 |
| 10/20/14 | 2.1 Circles and Chords 2.2 relative position of a line and a circle |
2.4 Inscribed and other angles | 226, 234, 235, 241, 248, 268 Read the rest of chapter 2. |
10/29/14 |
| 10/27/14 | 2.4 inscribed angles continues 2.3 Relative position of two circles |
2.5 Constructions | 250, 252, 253, 255, 256, 259, 266, 269,287,293,any of problems 278-304 are good practice. | 11/5/14 |
| 11/3/14 | 2.6 Inscribed polygons |
2.7 Triangle centers | ||
| 11/10/14 | review | second midterm | ||
| 11/17/14 | 3.1 commensurability start isometries. |
isometries by Oleg Viro, revised by Olga Plamenevska. | Here are some problems. | Due Monday, 12/1/14 |
| 11/24/14 | continue with isometries. | No Class (Thanksgiving) | ||
| 12/1/14 | similarities (Oleg Viro, revised by Olga Plamenevskaya) | 3.6 Pythagorean theorem, and review | Here are some optional problems. Read section 3.6 Do, but don't hand in: Find a proof of the Pythagorean theorem which is different from the one in 3.6 or the one discussed in class, and learn it. |
Due at the final Thursday, 12/11/14 (optional) |
| 12/8/14 | Final (cumulative) Thursday, Dec 11, 8:30pm-11pm |