Week	Sections of the book to read in advance	HW #	Homework (Problem in bold must be  submitted on Wednesdays for grading)	Remarks
8/26	Introduction 1. Angles 2. Perpendicular lines 3. Propositions	1	31, 34, 38, 40,45, 47,51, 54, 57, 58 (note: in 58 an intersection point should be an intersection of at least two lines)	Here is a short and nice account of the subject. Here are the slides. Here is homework 0.
9/2	4. Polygons and triangles	2	52, 53, 56,59,60, 61.	9/2 Labor day - no class Homework 0 and 1 are due 9/4.
9/9	5. Isosceles triangles and symmetry. 6. Congruence tests for triangles.	3	62, 63, 64, 65, 67, 70,71, 72, 74, 77, 79, 80, 84, 85. In problem 62 to 74 you cannot use congruence of triangles (SAS, ASA etc)	Homework 2 is due 9/11.
9/16	7. Inequalities in triangles	4	86, 87, 89, 90, 92, 94 NOTE: In problem 89 where it says "greater" it should say "smaller". In problem 94 where it says "smaller" it should say "greater". Can you proof that  89 and 94, as stated in the book, are false? In a separate page, write in your own words (English words, no symbols) a summary of the postulates and theorems in Sections 1 to 7 (including 7). For each theorem write a SHORT (about one - two - three sentences) idea of the proof (e.g,it uses symmetry, and/or the postulate "there is a unique line passing through  any two distinct  points "). Number the theorems so you refer to these numbers when a statment is used in the proof of another theorem. (This summary is part of  homework 4)	Homework 3 is due 9/18. On Wed 9/18 the class will take place at the SCGP. (see here) Homework 3 will be collected there.
9/23	8. Right triangles. Review.	5	96, 97, 98, 101 Read Section 8 (Rigth triangles) before doing the homework.	Homework 4 is due 9/25.
9/30	9. Segment and angles bisectors.	6	106, 109, 110, 111, 112. Write down the proofs of these statements with appropriate justification (appropriate means providing only the relevant and necessary steps to obtain the proof). DO NOT use symbols or abreviations, with the exception of <, >, +, =, symbol for angle, symbol for congruence and other symbols that for parts of formulae. Use complete English sentences. Here are good guidelines for proof writing. After your finish writing your problems, read them out loud, to be sure that the English is correct, and that what your wrote is mathematically correct. Correct writing (in the sense just explained) will be part of the grade from now on.	Homework 5 is due 10/2. Miderm I, Monday 30/9
10/7	10 Basic contruction problems 11 Parallel lines	7	120c, 123, 126, 129, 131, 132,133, 134, 138, 140 (you should show all possible configurations for 1, 2, 3. lines, until you find a configuration that yields 5 regions. You do not need write a proof that the configurations you found are all the possible ones.), 141, 150, 151. Here are the problems we will discuss in class.	Homework 6 is due 10/9.
10/14	12. The angle sum of a polygon 13. Parallelograms and trapezoids 14. Methods of constructions and symmetries	8	153, 154, 157, 158, 168, 179, 180, 190, 191,  197, 195,	Homework 7 is due 10/16.
10/21	1. Circles and chords 2.Relative positions of a line and a circle. 3.Relative positions of two circles. 4. Inscribed and other angles.	9	Homework 9, first part. 225, 226, 234, 238,239, 240, 243,247, 250, 252, 253, 257	Homework 8 is due 10/23.
10/28	5. Construction problems Review of Chapters 1 and 2.	9	Homework 9, second part. 278, 279, 281, 283, 284, 286, 293. Any problem of this section is good for practice.	Homework 9 is due 11/6.
11/4	6. Inscribed and circumbscribed polygons 7. Four concurrency points of a triangle.	10	286, 306, 309, 310.	Midterm II, Monday 11/4. Chapters 1 and 2 (Chapter 2 with the exception of sections 6 and 7) Homework 10 is due 11/6.
11/11	Isometries of the plane. Lecture notes by Oleg Viro and Olga Plamenevskaya	11	List of problems.	Homework 11 is due 11/25.
11/18	Similarities, lecture notes by Oleg Viro and Olga Plamenevskaya	12	List of Problems (HW 12)	Homework 12 is due 12/4
11/25				11/27,28,29 Thanksgiving Break No Class, No homework this week.
12/2	Review	13		Final Exam: Wednesday, December 11,starting at 3pm, in our usual room.