• If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.

  • Work with all your cloud files (Drive, Dropbox, and Slack and Gmail attachments) and documents (Google Docs, Sheets, and Notion) in one place. Try Dokkio (from the makers of PBworks) for free. Now available on the web, Mac, Windows, and as a Chrome extension!



Page history last edited by Jonathan Dietz 8 years, 5 months ago




















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





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.


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/






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  





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,




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