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Syllabus

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

 

 

Textbook

 

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:

 

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:

 

 

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

 

 

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