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Hopewell Geometry – Right Triangle

18 Jun

A while back we gave our students the Mathematics Assessment Project assessment task called Hopewell Geometry.

I have just finished reading Smith and Stein’s book 5 Practices for Orchestrating Productive Mathematics Discussions, and so I have been thinking a lot about sequencing.

Students are given a set of Hopewell Triangles (along with a historical explanation, which you can see at the link above).

Screen Shot 2013-06-18 at 9.14.46 AM

And they are given a diagram with the layout of some Hopewell earthworks.

Screen Shot 2013-06-18 at 9.14.56 AM

The second question is for students to explain whether or not the shaded triangle is a right triangle.

With which student explanation would you start in a class discussion?

How would you sequence the student explanations? Are there any you would be sure to include? Some you would leave out?

Student A

Screen Shot 2013-06-18 at 10.21.28 AM

Student B

Screen Shot 2013-06-18 at 10.21.44 AMScreen Shot 2013-06-18 at 10.22.00 AM

Student C

Screen Shot 2013-06-18 at 10.22.10 AM

Screen Shot 2013-06-18 at 10.22.17 AM

 

Student D

Screen Shot 2013-06-18 at 10.22.43 AMScreen Shot 2013-06-18 at 10.22.47 AM

 

Student E

Screen Shot 2013-06-18 at 10.23.24 AM

 

Student F

Screen Shot 2013-06-18 at 10.24.01 AMScreen Shot 2013-06-18 at 10.24.12 AM

 

Student G

Screen Shot 2013-06-18 at 10.24.32 AM

 

Student H

Screen Shot 2013-06-18 at 10.24.39 AM

 

Student I

Screen Shot 2013-06-18 at 10.24.50 AM

 

Student J

Screen Shot 2013-06-18 at 10.25.07 AM

 

Student K

Screen Shot 2013-06-18 at 10.25.19 AM

 

Student L

Screen Shot 2013-06-18 at 10.25.28 AM

And so the journey continues …

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2 Comments

Posted by on June 18, 2013 in Geometry, Right Triangles

 

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2 responses to “Hopewell Geometry – Right Triangle

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