Modern Geometry
Calendar
This is a tentative schedule that may be changed based on the needs of the students, the needs of the instructor, or any apocalyptic events that may occur during the semester.
move congruency earlier, possibly before euclidean constructions
http://www.sineofthetimes.org/acoordinateplanelogicpuzzle/ (taxicab example)
1:
Monday  Labor Day  no classes 
Wednesday 
Introductions

Thursday 
Read \(\sqrt{2}\) is irrational (p. 6) LaTeX for "pretty" math
Wikibook authors complete proof for \(\sqrt{2}\) is irrational (no picture required) 
Friday 
Read appendix A.3 (p. 424427) and 10 ways to think like a mathematician Proof tips
Three point geometry (7.6)

2:
Monday 
finish proof Three point geometry (7.6)
Wikibook authors complete proofs for Three point geometry 
Wednesday 
Four point geometry (7.6)
Wikibook authors complete proof(s) for Four point geometry 
Thursday  Group quiz 
Friday 
Fano's geometry (7.6)
Wikibook authors complete proof(s) for Fano's geometry 
3:
Monday 

Wednesday 
Read Proposition 2 
Thursday  Group quiz 
Friday 
Wikibook authors write stepbystep instructions and verification for one construction 
4:
Monday 
Try Bride's chair and/or Pythagoras plugged in Pythagorean theorem

Wednesday 
Pythagorean theorem

Thursday 
(optional) bring 8 handouts of group project for peer review Pythagorean theorem

Friday  Group quiz 
5:
Monday 
Group project due Review

Wednesday 
Exam 1

Thursday 
Pythagorean activity 
Friday 
Wikibook authors finish pentagon and composition of reflections 
6:
Monday 
Wikibook authors finish procedure Extra: Read Chapter 8.1 introduction (notice that the book is using more formal notation for transformations that is optional for our proofs) 
Wednesday 
Wikibook authors finish procedure Extra: Read Chapter 8.1.1 and Lemma 8.13 (different from class because vector is given but image is not) 
Thursday  Group quiz 
Friday 
Wikibook authors finish procedure Extra: Read Chapter 8.1.2 and Theorem 8.14 
7:
Monday 
Wikibook authors finish procedure Extra: Read Chapters 8.1.3 and 8.1.4 
Wednesday 
Wikibook authors finish proof Extra: Read Chapters 8.1.6 and Theorem 8.18 
Thursday  Group quiz 
Friday 

8:
Monday 
Wikibook authors finish proof Extra: Read Theorem 3.26 and Exercise 3.31 
Wednesday 
Wikibook authors finish proof Extra: Read Theorem 3.24 and Exercise 3.29 
Thursday 
Group quiz

Friday 
Wikibook authors finish proof Extra: Read Theorem 3.28 
9:
Monday 
Wikibook authors finish proofs 
Wednesday 
Wikibook authors finish proofs Extra: Read Theorem 3.23 
Thursday 
Group quiz

Friday  Class canceled 
10:
Monday  Class canceled 
Wednesday 
create note sheet for exam Review

Thursday 
Extra: Read Theorem 3.29 and Theorem 3.30 (proofs not required for assessments) 
Friday 
Exam 2

11:
Monday 
Read fractal introduction (in Canvas) New groups Discuss Fractal project
Extra: Read Chapter 3.1, exercise 3.2, Theorem 3.1 
Wednesday 
Extra: Theorem 3.3, Definition 3.5, Exercise 3.7 
Thursday 
Extra: 
Friday 
Extra: Theorem 3.7 
12:
Monday 
(optional) Email instructor for feedback on fractal project Fractal dimension
Extra: 
Wednesday 

Thursday  Thanksgiving break  no classes 
Friday  Thanksgiving break  no classes 
13:
Monday 
Due: Fractal project
Extra: Read Chapter 7.1 
Wednesday 
Extra: 
Thursday 
Group quiz

Friday 
Extra: 
14:
Monday 
Extra: 
Wednesday 
Read chapter 6.3.1 and 6.3.3
Extra: 
Thursday 
Extra: 
Friday  Group quiz (bonus) 
15:
Monday  Review 
Wednesday 
Final exam (part 1)
Assign take home (due to Canvas by end of final exam time) 
Final exam (part 2)
 Return part 1
 Take home part due by end of exam time