# Internet Links and Resources

(Linked to NCTM Standards)

## Number Sense

- http://www.sears-tower.com

This is a well-designed website with many interesting Sears Tower building facts and much, much more. - http://www.the-skydeck.com

This page can be found through a link on the Sears Tower Home Page and contains many building facts and other visitor information. - http://www.census.gov/popest/estimates.html

U.S. Census Bureau Population Statistics - http://www.isbe.state.il.us/research/Default.htm

This site contains Illinois School Facts about report cards, schools and districts, publications and other statistics. - http://www.nps.gov/jeff/generalinfo.htm

General information about the Jefferson National Expansion Memorial - http://www.mste.illinois.edu/m2t2/number/m-ms.xls

An excel spreadsheet that can be used to form bar graphs and pie graphs of different numbers of different colors of M&Ms - http://www.m-ms.com/us/

Learn all about M&M candies and the M&M store such as how the colors are mixed in every bag. - http://www.mste.illinois.edu/m2t2/number/gizabase.gsp

Use this Sketchpad file to help yourself visualize the pyramid bases. - http://www.mste.illinois.edu/malcz/IxpFit/INTRO.html

With this site, you can explore Exponential Fit with an example of world record times for the running of the mile over a 70 year period. - http://www.sdcoe.k12.ca.us/score/pyram/pyramtg.html

A site with many links to various websites about pyramids and Egyptian mathematics. - http://www.pbs.org/wgbh/nova/pyramid/explore/khufuenter.html

A NOVA Website in which you can webcrawl through the pyramids all the way to the King's burial chamber - http://www.newton.cam.ac.uk/egypt/

A listing of Egyptology Resources - http://www.egyptvoyager.com

All the information you need about Egypt from the pyramids to travel information - http://www.ti.com/calc

A site for anyone involved in education with discussion groups, education technology information, and many more teaching resources. - http://mathforum.org/workshops/sum98/participants/sanders/

Learn about the geometry of drawing in three dimensions, how to make a 3D picture, and careers available with this talent. - http://scrtec.org/track/tracks/f07124.html

A site by Karen Hemmerling exploring the circle with many practice problems following each lesson. - http://www.math.rice.edu/~lanius/

Informative math website by Cynthia Lanius. One of these is the dueling pinwheels lesson for Geometer's Sketchpad. The Hand Squeeze is a data collection and analysis activity. - http://www.studyweb.com/

Listings of research sites in varying subjects that are appropriate for students - http://www.parentech.org

Technology information initiative for families of middle school students, created by NCREL and funded by Ameritech - http://www.mste.illinois.edu/m2t2/

Look at the quadrilaterals lesson in the geometry located near the upper left corner. Check out the numerous other interesting lessons and links on the site. - http://www2.edc.org/mathproblems/

Problems "with a Point" help students in grades 6-12 learn new mathematical ideas by building on old ones. Each problem or sequence focuses on one mathematical idea and also connects that idea with others.

## Measurement

- http://standards.nctm.org/document/eexamples/chap6/6.3/part2.htm

With the NCTM Standards Website, learn about length, perimeter, area, and volume of similar objects by using interactive figures. - http://www.mste.illinois.edu/users/carvell/rectperim/RectPerim2.html

Experiment with a rectangle's length and width to see the effects on area and perimeter. - http://www.mste.illinois.edu/users/carvell/3dbox/

Study the volume of a rectangular prism and how to maximize it.

## Algebra

- http://www.mste.illinois.edu/java/

A set of java activities in mathematics - http://www.mste.illinois.edu/users/mmckelve/applets/mlmtoothpick2/

Examine geometry first hand by using this web activity to draw boxes using toothpicks. - http://www.mste.illinois.edu/activity/boxperim/

A great web tool for building knowledge with perimeter - http://www.mste.illinois.edu/m2t2/algebra/tableForPolygons.xls

An Excel spreadsheet with a blank table for polygon interior angle values that can be used to find patterns - http://www.mste.illinois.edu/m2t2/algebra/Nonagon.gsp

A Geometer's Sketchpad file of a regular nonagon which can be rotated, moved, and resized - http://www.mste.illinois.edu/m2t2/algebra/Nonascpt.gss

This is a script for automatically constructing the nonagon - http://www.mste.illinois.edu/m2t2/algebra/Fastnona.gsp

A Geometer's Sketchpad file that explains how to draw a regular nonagon more quickly using the central angle - http://www.mste.illinois.edu/m2t2/algebra/table2Polygons.xls

A spreadsheet with the values of interior angles of regular polygons plotted - http://www.mste.illinois.edu/m2t2/algebra/20gon.gsp

A Geometer's Sketchpad file of a regular 20-gon which can be rotated, moved, and resized - http://www.mste.illinois.edu/java/java/angleobject/

This applet will show the interior angle sum of a polygon in a circle. - http://www.mste.illinois.edu/m2t2/algebra/nonregs2.gsp

A Geometer's Sketchpad file of irregular polygons which can be moved and resized - http://www.enc.org

Marilyn Burns talks about what a reform-based classroom looks like. - http://www.keypress.com

Geometer's Sketchpad, a dynamic geometry software, is available at this site. - http://www.mste.illinois.edu/java/

A set of java activities in mathematics - http://www.mste.illinois.edu/m2t2/

The main M2T2 page

## Geometry

- http://www.mste.illinois.edu/m2t2/geometry/quads.html

"Java Sketchpad" file exploring quadrilaterals - http://www.mste.illinois.edu/m2t2/geometry/QUADS1.GSP

The original Geometer's Sketchpad file of the previous "Java Sketchpad" file is available at this site, but not necessary. - http://www.mste.illinois.edu/m2t2/geometry/quadsdiag.html

Explore the diagonal properties of quadrilaterals - http://www.mste.illinois.edu/m2t2/geometry/quadsdiag.gsp

The original Geometer's Sketchpad file of the previous Java applet is available at this site. - http://www.mste.illinois.edu/m2t2/geometry/diags.html

Use this "Java Sketchpad" file to try to draw different quadrilaterals on given diagonals. - http://www.mste.illinois.edu/m2t2/geometry/diags.gsp

The original Geometer's Sketchpad file of the previous Java applet is available at this site. - http://www.mste.illinois.edu/m2t2/geometry/quadsInQuads.html

Find the relationships that exist when you create a figure from the midpoints of the sides of a quadrilateral. - http://www.mste.illinois.edu/m2t2/geometry/QUADS2.gsp

The original Geometer's Sketchpad file of the previous Java applet is available at this site. - http://www.mste.illinois.edu/m2t2/geometry/Rhmrect.htm

Quick proof that the quadrilateral formed by joining the midpoints of a rhombus is a rectangle. - http://www.nctm.org/publications/smn/

A general view of the Euler Relationship can be found here, the NCTM Student Math Notes site under the "Let's Be Discrete" link - http://www.nctm.org/publications/smn/2000-11smn.pdf

This is the address that the link, "Let's Be Discrete", in the above link will bring you to. (Requires Adobe Acrobat Reader) - http://nctm.org

National Council of Teachers of Mathematics. See Principles and standards for school mathematics, as well as the Navigations and the on-line Illuminations. - http://www.mste.illinois.edu/m2t2/geometry/perspective

Links to all the electronic files associated with drawing in perspective - http://www.mste.illinois.edu/dildine/sketches

James P. Dildine's Java Geometry: Additional Java sketches that any student or teacher can access from the Web - http://www.webmath.com

Webmath: Web-based interactive mathematics resources (Dictionary, Formulas, etc...) - http://www.keypress.com

Key Curriculum Press: Textbook and Software Publisher specializing in the Geometer's Sketchpad and references for GSP.

## Statistics

- http://www.mste.illinois.edu/reese/cereal/

An interactive version of the Cereal Box Problem - http://www.mste.illinois.edu/reese/cereal/cereal.php

A Java simulation for the Cereal Box Problem - http://www.mste.illinois.edu/activity/rocket

A java applet designed to teach an application of probability using a simulation of a rocket launch - http://www.census.gov

U.S. Census Bureau Website - http://www.mste.illinois.edu/users/hill/ev/hermitprob.html

An interactive simulation of the Hermit's Epidemic problem showing expected value