The computer can be a distraction and a frustration, but it can also be a teaching tool. Usually, you hear that you __should__ be using technology in your teaching, but no one gives an example of a site that works for middle school curriculum. Here are a few online resources that actually show the potential of the Internet as a teaching strategy.

**The MegaPenny Project**

This site shows arrangements of large quantities of U.S. pennies. It begins with only 16 pennies, which measure one inch when stacked and one foot when laid in a row. The visuals build to a thousand pennies and in progressive steps to a million and even a quintillion pennies! All pages have tables at the bottom listing the value of the pennies on the page, size of the pile, weight, and area (if laid flat). The site can be used to launch lessons on large numbers, volume versus area, or multiplication by a factor of 10.

**Cynthia Lanius’ Fractal Unit**

In this unit developed for middle school students, the lessons begin with a discussion of why we study fractals and then provide step-by-step explanations of how to make fractals, first by hand and then using Java applets—an excellent strategy! But the unit goes further; it actually explains the properties of fractals in terms that make sense to students and teachers alike.

**The Pythagorean Theorem**

[This site is temporarily unavailable – we are going to leave this link in place and continue to check back in case it revives – 6/26/2010]

This site invites learners to discover for themselves “an important relationship between the three sides of a right triangle.” Five interactive, visual exercises require students to delve deeper into the mystery; each exercise is a hint that motivates and entices. The tutorial ends with information on Pythagoras and problems that rely on the theorem for their solutions.

**Fraction Sorter**

A visual support to understanding the magnitude of fractions! Using this applet, the student represents two to four fractions by dividing and shading areas of squares or circles and then ordering the fractions from smallest to largest on a number line. The applet even checks if a fraction is correctly modeled and keeps score. From Project Interactivate Activities.

**Algebra Balance Scales — Negatives**

This virtual balance scale offers students an experimental way to learn about solving linear equations involving negative numbers. The applet presents an equation for the student to illustrate by balancing the scale using blue blocks for positives and red balloons for negatives. The student then solves the equation while a record of the steps taken, written in algebraic terms, is shown on the screen. The exercise reinforces the idea that what is done to one side of an equation must be done to the other side to maintain balance. From the National Library of Virtual Manipulatives.

**Geometric Solids**

This tool allows learners to investigate various geometric solids and their properties. They can manipulate and color each shape to explore the number of faces, edges, and vertices, and to answer the following question: For any polyhedron, what is the relationship between the number of faces, vertices, and edges? From Illuminations, National Council of Teachers of Mathematics Vision for School Mathematics.

**We Want Your Feedback**

We want and need your ideas, suggestions, and observations. What would you like to know more about? What questions have your students asked? We invite you to share with us and other readers by posting your comments. Please check back often for our newest posts or download the RSS feed for this blog. Let us know what you think and tell us how we can serve you better. We appreciate your feedback on all of our **Middle School Portal 2** publications. You can also email us at msp@msteacher.org. Post updated 4/05/2012.

Thanks for the great links. I was disappointed that the one on Pythagoras cannot be found.

Hi Digital Teacher – We sure appreciate the comment – that link was just working but it seems that the entire archytech site has vanished at least for now. We’ll go ahead and keep it in the post and check back later. Kim

Pythagorean Puzzles http://nlvm.usu.edu/en/nav/frames_asid_164_g_3_t_3.html?open=instructions&from=search.html?qt=Pythagorean+theorem are two good Pythagorean Theorem related activities from the National Library of Virtual Manipulatives. Also see http://www.ies.co.jp/math/java/geo/pythagoras.html from the Manipula Math with Java site. Good luck!

Judy – Thanks for the additional resources. Kim

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