Download Using NCTM Illuminations: Cutting Conics

ALCCRS: Geometry 27
Name:_________________________________________ Date:___________________
Using NCTM Illuminations: Pi Filling, Archimedes Style!
http://illuminations.nctm.org/LessonDetail.aspx?ID=U179
Student Instructions: By calculating the areas of regular polygons inscribed and
circumscribed about a unit circle, you can create an algorithm that generates the neverending digits of π. Also discover an improvement to Archimedes' method that generates
the infinite digits of π more efficiently and accurately. Download and complete lesson
one and two at the NCTM Web site.
ALCCRS: Geometry 29
Name:_________________________________________ Date:__________________
Halfway There!
Student Instructions: Solve the puzzle at http://zenoferox.blogspot.com/2008/02/circlepuzzle.html. Then explain how you solved the problem.
ALCCRS: Geometry 30
Name:_________________________________________ Date:__________________
Using NCTM Illuminations: Cutting Conics
Student Instructions: Using the Conic Section Explorer Tool or manipulatives, such as
clay or dough, you will explore and discover conic sections by cutting a cone with a
plane. Circles, ellipses, parabolas, and hyperbolas are examined using the Conic Section
Explorer tool. Download and complete the Cutting Conics Activity Sheet found at the
NCTM Web site. (http://illuminations.nctm.org/LessonDetail.aspx?id=L792)