Math 411: Geometry 


Dr Langford
Contact me:
e-mail:
laurel.langford@uwrf.edu

My office location: 207B NH
My office phone number:
715-425-4360
Grading policies, etc
Syllabus

Useful Links:
Euclid's Elements

Most current axioms and theorems notes

Many video resources for understanding the axioms and definitions so far. 



Mon NH 16 Wed NH 16 Fri NH 16
 

Sept 5:  Van Heile levels
Video for rotations
Video for reflections
Practice transformations

More transformations:
Do a composition of 2
Describe compositions
Notes on properties (this week)

Sept 10: Remember or learn a little more about transformations by doing the Khan Academy practice problems here (and watching videos as needed) on Properties & definitions of transformations and Congruence and Similarity
Some definitions and axioms and questions
Do problem 1 and finish the worksheets from last Friday.


Sept 12: Read about Euclid's Elements in Geometry: from Euclid to Knots pgs 33-41 and 52-53.
Solve problems 2 and 3 and prove theorem 1
Updated axioms and questions sheet

Many video resources for understanding the axioms and definitions so far. 
This weekend: make sure you understand through theorem 1, and can solve problems 1, 2, 3, and 5and can prove theorem 1. (turn in solutions for problems 2, 3, and theorem 1b on Monday)
Solutions to the going places worksheet
The latest version of the axioms and problems list

Sept. 17 Review topics and sample problems 
Solutions to 7b and c.


Sept 21: Test 1
Sept 24 Discussed test. Choose and prove another theorem about isometric images such as one of these.


Work on the proofs of theorems 4-8 for Monday. 
The latest version of the axioms and problems notes is here.
There are hints and review of what we did in class for each of  theorems 4-8 in the video resources.
Oct 1: 
 Practice for the test

Notes from class: Thm. 3; Thm 4; Thm 5; Thm 6; Thm 7; Thm 8; Thm 9; Thm 10

Oct 8: Test 2
Before Wednesday's class, watch these discussions of angles and congruence.  Come to class ready to discuss theorems 11 and 12 and if they need Axiom 7 (should Axiom 7 be earlier?)
Axiom 6 and angles
Solid angles
Congruence (angles)
Thm 11
Thm 12
Background for axiom 7
(prove theorem 11)

(prove theorems 12 and 16)

Oct 15:  Prove theorems 17 and 18
Notes on theorems 17 and 18
Video about theorem 18
Video about theorem 19
Theorem list with 17a and 18a inserted.
Notes on SAS and ASA
Notes on the difference between Thm 18 and thm 18a.
21 part 1: first isosceles triangle theorem video
part 2 is now ready.
Oct 22:  
Discussion of 18 vs 18a
Test 3 (theorems 10-21)
Oct 29: Theorem list is updated
Try to prove theorems 28 and 29 by Wednesday



Nov 5: Proofs of theorems 29 and 30 (watch these if you have any questions)
 Proofs of AAS (33) and HL (36)
Prove for Friday: Theorems 34 and 37

Nov. 12 


Test 4
Nov. 19:  Happy  Thanksgiving
Nov 26. Quadrilaterals conjectures (updated)

Photo of Thm 40 proof.

Homework due Monday: Writeup proofs of theorems 38, 40, 44.

Dec 3 : 

Video proof of Thm 45
Video proof of Thm 46

Test 5
Updated theorem list
Video proof of thm 66, Thm 67, Thm 68
Pythagorean theorem proof fill in blanks
Dec 10:


 

Final Exam: