Maddie and the 3 by 5 Note Card

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This article describes an open-ended problem-solving task that starts with a simple 3 in. × 5 in. note card and leads to a rich discussion of geometry and coordinate graph representations.

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Contributor Notes

Andrew Samide teaches part time at Montini Catholic High School in Lombard, Illinois. Samide has been teaching for 53 years and is the co-author of three geometry textbooks. He has been a proponent of the flipped classroom before it was given a name.

Christine Kincaid Dewey,, teaches mathematics at the Macomb Mathematics Science Technology Center in Warren, Michigan. She is interested in helping students develop conceptual understanding using a variety of instructional strategies, enjoys creative hobbies and is a leader in the Detroit Area Council of Teachers of Mathematics and the Michigan Council of Teachers of Mathematics.

(Corresponding author is Dewey
Mathematics Teaching in the Middle School


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