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## Math for Real: Pythagorean Picture Hanging

### “when will I ever use this?”

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

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## Quick Reads: Searching for Pythagorean Triples

### a good idea in a small package

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

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## Informing Practice: Examples as Tools for Constructing Justifications

### research matters for teachers

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

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## Radical Thoughts on Simplifying Square Roots

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?”

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

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## Mathematical Explorations: Find the Distance: No Formula Necessary

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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## Using Tiered Explorations to Promote Reasoning

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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## The Right Place at the Right Time

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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## Quick Reads: Problem Solving with Laser Precision

### a good idea in a small package

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

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## Running a Rectangle

### little problems with big solutions

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