Additional Resources for Teachers

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Patty paper can be ordered online from Key Curriculum Press.

Activity 1B: Programming Animations I

Programming Calculators and Transformations

Fendel, D., Resek, D., Alper, L., & Fraser, S. (2000). Interactive Mathematics Program, Year 4. Key Curriculum Press.
The unit titled “As the Cube Turns” provides extensive information on programming calculators for animation. The book is supplemented with a Teacher’s Guide and Calculator Guide for the TI-82 and TI-83. The Calculator Guide offers several animated programs and includes instructions for writing programming code.

Geometric Transformations, a five-day unit plan for grade 8, provides additional examples of translations and reflections.


Driscoll, M., Egan, M., Mark, J., Kelemanik, G., & Nikula, J. (2008). Fostering Geometric Thinking. Heinemann.

Montana Council of Teachers of Mathematics. (2006). SIMMS Integrated Mathematics 2. Kendall/Hunt Publishing.

Serra, M. (2008). Discovering Geometry: An Investigative Approach, Fourth Edition. Key Curriculum Press.

Short lessons on transformation geometry that include the use of matrices.

Various Java applets on geometric transformations.,10.13.1,ALL,ALL/

Illuminations, a Web site of math tools developed by the National Council of Teachers of Mathematics, includes various activities on geometric transformations.

For specific transformation applets at this site, see the following activities:
• Reflections and bilateral symmetry, which includes Java applet:
• Rotations and their properties:
• Translations and their properties, including interactive diagrams:
• Compositions of transformation, in particular, work with glide reflections:

NCTM interactive figures on transformations.

Geometer’s Sketchpad activities with transformations.


Source for obtaining flipbook kits.

Timeline of Animation History
The Film Education online resource has a timeline depicting the historical development of animation.

Basic Techniques Used in Animation—Tasks for Student Exploration
The Film Education online resource gives descriptions of four different animation techniques.

A short explanation of computer animation.

“How We Make a Movie: The Pixar Animation Process” is a slideshow from Pixar Animation Studios that lays out each stage of the process.

“Putting It Together—How Animation Gets Made” by Vicky Arkoff describes every stage in animation production.