Word Cloud, Book II of Euclid's Elements
Class Meetings: D1,D2,D2 Room 142- Independent Study
D4,D5 Room 142 - With Teacher
Instructors: Jonathan Dietz, dietzj@mail.weston.org (Weston)
Office: MS 142
Office Hours: After School 2:45- 3:30 PM or by appointment- email dietzj@mail.weston.org
Sam Elder, samath117@gmail.com (AOPS/MIT)
Goals of the Course
- To learn the principles of Euclidean Geometry
- To explore geometric concepts and their application to architecture, technology, and art
- In the process of doing this, they will become familiar with digital fabrication technologies.
- This will include
- CAD software - Google SketchUp, Axon2, Inkscape, and others
- Rapman 3-D printing, and laser cutting,
- Arduino embedded computing
- Sea Perch ROV
Textbook
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Introduction to Geometry
by Richard Rusczyk
A full course in challenging geometry for students in grades 7-10, including topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more.
Order:
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Support Material:
Khan Academy- Geometry http://www.khanacademy.org/#geometry
Vi Hart, Mathemusician- http://www.youtube.com/user/Vihart/videos
Terry Jones, The Story of One (Video) http://youtu.be/KoSWtEWTvWE
Numberphile- Videos About Numbers- http://www.youtube.com/user/numberphile?feature=fvstc
Regents Exam Prep Center- Geometry - http://www.regentsprep.org/Regents/math/geometry/math-GEOMETRY.htm
Museum of Mathematics- Math Mondays- http://momath.org/mathmonday/
Further Readings: http://westongeometry.pbworks.com/w/page/56321246/References%20and%20Further%20Readings
Discrete Math- Javed Aslam, Northeastern University : http://westongeometry.pbworks.com/w/page/67162420/Discrete%20Math
Between the Folds(Origami)- Video
-Website- http://www.pbs.org/independentlens/between-the-folds/
Optional/Enrichment:
- Google SketchUp for Site Design, by Daniel Tal
- Ruler and Compass: Practical Geometric Constructions (Wooden Books) by Andrew Sutton (Oct 27, 2009)
- The Hidden Geometry of Life, by Karen L. French
Learning Supplies:
- 1" Binder with Dividers (for home)
- Bow Compass
- Straightedge
- Protractor
Required Course Components:
- Completion of weekly Art of Problem Solving Homeworks
- Completion of weekly Art of Problem Solving Alcumus review problems
- Participation in online class session
- Participation in group work and Discussion
- Completion of assigned projects (see Projects)
Problem Sets and Notebook
Much of our class time will be spent working in teams and individually on problem sets. These problem
sets form the core of the course. They will encourage you to sharpen your conversation skills
Examinations 
There will be no fomal exams; however, we will be reviewing problems from the High school honors geometry course and other sources.
Preparation, Attendance, and Pacing
This class meets five days per week. Three periods per week are student-led and two are instructor-led.
A significant amount of the work for class will be occurring between classes. In between classes you should ...
- Participate in Monday evening Art of Problem-Solving Online Classes
- Complete Assigned homework
- Watch relevant videos on Khan Academy
- Keep a handwritten notebook of videos and classwork
- Work on software tutorials and technology designs
Course Grade
This course is graded on a Pass/Fail basis.
MIT Architecture Students erecting structure made of computer-cut 2x2 posts outside Bldg 33,
http://architecture.mit.edu/architectural-design/project/framework-0