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Math for Real: Pythagorean Picture Hanging

“when will I ever use this?”

Reuel Smith

The real-life tie-in this month involves using the Pythagorean theorem to hang pictures.

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Kristen N. Bieda and Jerilynn Lepak

Research explores how to help students build from, instead of building with, examples when justifying mathematical ideas.

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Quick Reads: Searching for Pythagorean Triples

a good idea in a small package

Natalya Vinogradova

This method emphasizes the strong connections between geometric and algebraic representations.

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Kyle T. Schultz and Stephen F. Bismarck

A geometric approach using exact square manipulatives can promote an understanding of the algorithm to dismantle radical expressions.

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Math for Real: How Much Time Will Lena Save?

“when will I ever use this?”

Dan Miltner

This problem ties in the Pythagorean theorem while two people walk around or across a park.

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Ryota Matsuura and Yu Yan Xu

This activity involves finding the distance between two points in a coordinate plane and emphasizes reasoning from repeated calculations, which is one of the mathematical practices specified by the Common Core State Standards for Mathematics.

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Cory A. Bennett

Address the needs of diverse learners with a class structure that is designed around a crime scene theme and based on student choice and perceptions of the math being studied.

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James Metz

In the 1928 movie Steamboat Bill, Jr., as Buster Keaton stands in front of a house, the front wall of the house falls toward him. Keaton is unharmed as the open attic window passes over him. See photographs 1 and 2 for two views of the scene.

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Running a Rectangle

little problems with big solutions

Annie Perkins and Christy Pettis

Students are asked to solve a problem that involves running around a rectangle.

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Quick Reads: Problem Solving with Laser Precision

a good idea in a small package

Scott A. Goldthorp

A student-centered, inquiry-driven classroom explores the Pythagorean theorem.