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).

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

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

Student B

Student C

Student D

Student E

Student F

Student G

Student H

Student I

Student J

Student K

Student L

And so the journey continues …

## 2 responses to “

Hopewell Geometry – Right Triangle”