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Triangles and Squares

21 Sep

As we continued work on Geometric Measure & Dimension Performance Assessment Tasks, I tried to give students some choice.

Everyone started with Some Really Obscure Geometry Problem.

1 Screen Shot 2015-09-21 at 5.52.51 AM

Guesses for region A were 32-50, with the median at 40%.

2 Screen Shot 2015-09-21 at 5.42.41 AM

Guesses for region B were 5-18, with the median at 10%.

3 Screen Shot 2015-09-21 at 5.46.20 AM

Guesses for region C were 12-23, with the median at 20%.

4 Screen Shot 2015-09-21 at 5.46.55 AM

Guesses for region D were 25-38, with the median at 30%.

5 Screen Shot 2015-09-21 at 5.47.30 AM

Students then chose whether to try the square task or a Triangles task that used to be on the Mathematics Assessment Project site but doesn’t seem to be anymore.

6 Screen Shot 2015-09-21 at 5.51.13 AM

Students specifically practiced look for and make use of structure.

Screen Shot 2015-09-20 at 5.51.58 PM

And show your work.

6.5 Screen Shot 2015-09-21 at 5.56.33 AM

7 2015-04-27 09.16.188 2015-04-27 09.17.57 9 2015-04-27 09.28.24 10 2015-04-27 12.49.36 11 Screen Shot 2015-09-21 at 5.55.18 AM 12 2015-04-27 09.14.56 13 2015-04-27 12.50.04 14 2015-04-27 12.50.08

We don’t always “finish” tasks like these. I wonder how much that matters.

Is it enough to begin to make your thinking visible to the readers of your work?

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1 Comment

Posted by on September 21, 2015 in Geometric Measure & Dimension, Geometry

 

Tags: ,

One response to “Triangles and Squares

  1. howardat58

    September 21, 2015 at 12:22 pm

    I like the obscure geometry problem.
    The coordinates attempt could be more convincing if they had taken a 9 by 9 or a 3 by 3 square!
    Sometimes you have to get onto the diagram, held vertically, and see what it does to you.

     

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