Thank you for your interest in NCTM’s Illuminations. Beginning in mid-April, all Illuminations content will be moving to nctm.org/illuminations. Interactives will remain openly available and NCTM members will have access to all Illuminations lessons with new filtering and search options. We hope you will continue to utilize and enjoy these resources on nctm.org.

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IsoscelesTriangleArea ICON
Geometry

Isosceles Triangle Area

6-8
Explore when an isosceles triangle obtains its maximum area.
SoccerProblem ICON
Geometry

Soccer Problem

9-12
Where should a soccer player be placed so that she has the best chance of making a goal?
Circumcircle ICON
Geometry

Circumcircle

9-12

Construct and explore of a circumcircle.

PowerOfAPoint ICON
Geometry

Power of a Point

9-12

Use this tool to investigate what happens when point P is moved to various points within, on, and outside the circle. What, if any, relationships can you identify among the segments and radius?

PythagoreanReview ICON
Geometry

Pythagorean Review

6-8

Review and explore the Pythagorean Theorem.

 

EulersLine ICON
Geometry

Euler's Line

9-12
Discover and explore Euler's Line.

Investigating Functions with a Ferris Wheel: Distance vs. Height

Investigating Functions with a Ferris Wheel: Distance vs. Height A Web Sketchpad activity helps students make sense of relationships between quantities, in this case the way that the distance a car travels around a Ferris wheel covaries with its height. <iframe src="/tools/ferriswheel/FerrisWheel_

Investigating Functions with a Ferris Wheel: Distance vs. Width

Investigating Functions with a Ferris Wheel: Distance vs. Width A Web Sketchpad activity helps students make sense of relationships between quantities, in this case the way that the distance a car travels around a Ferris wheel covaries with its "width" or horizontal distance from the center of the Ferris wheel