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Learning Math Home
Geometry Session 1, Part D: Basic Objects
 
Session 1 Part A Part B Part C Part D Homework
 
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Session 1, Part D:
Basic Objects (20 minutes)

In Part C, you used dots on paper to represent points, segments drawn by a pen, and folds to represent ideal line segments and even lines. Think about these "basic objects" of geometry:

Problem D1

Solution  

What is a point? How is it different from a dot on a page?

 

Problem D2

Solution  

What is a line? A segment? A ray? How are they different from the representations you were using?

 

Problem D3

Solution  

What is a plane? How is it different from a sheet of paper?


video thumbnail
 

Video Segment
In this video segment, participants discuss some of the vocabulary of geometry. Watch this segment after you have completed Problems D1-D3 and compare your thinking with that of the onscreen participants.

What are some of the difficulties the participants ran into while trying to define a point and a line? How are your descriptions similar to or different from those of the onscreen participants?

If you are using a VCR, you can find this segment on the session video approximately 20 minutes and 48 seconds after the Annenberg Media logo.

  

 

Problem D4

Solution  

What is a circle? Why is it impossible to draw a true circle?

 

Problem D5

write Reflect  

Reflect on your learning of geometry in the past. What is geometry "all about"? What is important in becoming a successful learner of geometry?


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