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## Mathematical Explorations: Finding Pi with Archimedes's Exhaustion Method

An analysis of Archimedes' contributions to the field of mathematics and the meaning behind C = pd are explored. Activity sheets are included.

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## Math for Real: Wheeling in the Water

### “when will I ever use this?”

The topic of irrigating crops provides the real-life tie-in to this computation activity involving area.

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## Estimating Earth's Circumference with an App

Students use proportional reasoning and popular GPS technology in the form of apps, readily available on smartphones, to estimate the polar circumference of Earth. Connections are made with middle school social studies as students investigate, differentiate, and use the properties of longitude and latitude.

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## Cartoon Corner: Clockwise, but Not So Wise

A cartoon that explores 360 degrees and the directions of clockwise and counterclockwise is coupled with a full-page activity sheet.

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## Pumpkin Pi

A humorous cartoon and related problems (and answers) about pi are coupled with a full-page activity sheet.

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## Using Scaffolding to Scale-up Justifications

Encouraging students to justify earlier as they attempt to solve an open-ended task can lead to greater understanding and engagement.

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## Quick Reads: Sure, We Can Make Smaller Pieces

### a good idea in a small package

The topic of limit is explored by examining a circle's successively smaller sectors.

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## Solve It! Student Thinking: Penny Drop

### big solutions to little problems

Students' thinking is discussed, and the procedures used with problem solving are explored.

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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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## Cartoon Corner: Easy as Pi? Infinitely Not!

A cartoon involving pi (or 3.14….) is coupled with a full-page activity sheet.