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Circles and Squares

21 Sep

We started our performance assessment task day for Geometric Measure & Dimension with Circles and Squares, a Mathematics Assessment Project task.

00 Screen Shot 2015-09-20 at 5.49.03 PM

01 Screen Shot 2015-09-20 at 5.43.53 PM 02 Screen Shot 2015-09-20 at 5.44.04 PM 03 Screen Shot 2015-09-20 at 5.44.18 PM 04 Screen Shot 2015-09-20 at 5.44.32 PM

Several students wondered about the ratios of the areas of the figures.

Without doing any calculations, what is the ratio of the area of the smaller square to the larger square?

05 Screen Shot 2015-09-20 at 5.44.51 PM 06 Screen Shot 2015-09-20 at 5.44.58 PM

Now practice look for and make use of structure.

Screen Shot 2015-09-20 at 5.51.58 PM

We did the usual and purposeful individual work then team work before sharing with the whole class.

I loved watching students look for and make use of structure to make sense of the relationships in the diagram.

7 2015-04-23 09.21.14 8 2015-04-23 09.22.16 9 2015-04-23 09.23.32 10 2015-04-23 09.24.00 11 2015-04-23 09.24.37 12 2015-04-23 09.25.17 13 2015-04-23 09.26.00 15 2015-04-23 09.32.55 14 2015-04-23 09.27.40 16 2015-04-23 09.33.57 17 2015-04-23 09.35.04 18 2015-04-23 09.38.45

And then successfully determining the ratio … even though there is always room for more attention to precision.

19 Screen Shot 2015-09-20 at 5.45.08 PM

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