Curated OER
Investigating the Sierpinski Triangle
Students solve and analyze the sierpinski's triangle. In this geometry lesson, students identify properties and theorem of triangles. They solve problems involving angles and sides of triangles.
Curated OER
Technology - Chaos Theory Lab
Ninth graders gain an understanding of Chaos Theory that exists in one's everyday environment.
Curated OER
Two-Variable Function Pump Exploration Questions
Guiding students through two variable (complex) functions, this activity helps them perform complex arithmetic on 6 expressions. They iterate several functions with given starting points, determining whether each is a prisoner, escapee,...
Curated OER
Pascal's Triangle
Students study Pascal's triangle. They construct their own version of Pascal's triangle, and relate some of the uses for it. While working through this process, students practice their integer multiplication and division skills.
Curated OER
From Future Flight to Past Flight
Students complete a set of CD-ROM's to introduce them to the flight program at NASA. In groups, they research a topic related to flight and put their information on a CD-ROM. To end the instructional activity, they share their material...
Curated OER
Fourths
In this fourths activity, students find the shapes that show fourths. Students color in the images to illustrate 1/4 for the 6 problems.
Curated OER
CHAOS AND COMPUTERS
Students discuss the Chaos Theory and how it came into existence.They observe order and compare it to the randomness of chaos. The activity features the playing of a game to reinforce concepts.
Curated OER
Lesson from the web
Students measure the circumference of an object to the nearest millimeter. They also measure the diameter. The relationship of the two measurements is taught and how the value of pi came into existence.
University of Massachusetts
Fractal Project: Exploring Fractals
A good beginner's site for fractals - the language is straightforward and requires only minimal experience to be able to understand the topic. (Note: When clicking on links on archived site, they may pause and appear not to be found...
Fundación Cientec
Fractales en Su Aula
Lesson plans and activities available in Spanish dealing with fractals. Some are also available in English. Activities are step by step and easy to understand. Included topics are the Koch Snowflake, Sierpinski's triangle, and Pascal's...
![University of Waterloo: Cemc: Math Circles: Patterns [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "University of Waterloo: Cemc: Math Circles: Patterns [Pdf] Unknown Type")
University of Waterloo (Canada)
University of Waterloo: Cemc: Math Circles: Patterns [Pdf]
This worksheet provides exercises in working with number patterns. Included are questions related to fractals, patterns in exponents, and perimeter and area.
Other
Fractal Explorer
The fractal explorer shows how a very simple pattern, when repeated can produce an incredible range of images. From organic tree like structures to rigid geometric forms. Fun to use and lots of mathematical concepts involved.
Boston University
Fractal Geometry of the Mandelbrot Set Ii
This web site addresses counting and adding in fractal operations, as well as the role of the Fibonacci sequence in fractal geometry.
TED Talks
Ted: Ted Ed: Fractals and the Art of Roughness
Mathematics legend Benoit Mandelbrot develops a theme he first discussed in 1984- the extreme complexity of roughness and the way that fractal math can find order within patterns that seem unknowably complicated. [17:10]
Rice University
Rice University: Cynthia Lanius: Fractals Unit
This site from the Rice University provides a Fractals Unit for Elementary and Middle School Students. Find out what a fractal is and what it looks like. You can value fractals for their visual delight or mathmatical properties. This is...
Shodor Education Foundation
Shodor Interactivate: Lesson: Finding Patterns in Fractals
Students will find patterns in fractals through this lesson plan and describe them mathematically. Students will use their prior knowledge of arithmetic with rational numbers in this lesson plan.
PBS
Pbs: Positive Exponents as Fractals
Explore the relationship between graphic patterns and their mathematical representation. This video focuses on how fractals can be a visual representation of positive exponents.
PBS
Pbs: Negative Exponents as Fractals
Determine the relationship between graphic patterns and what they represent mathematically. This video focuses on how fractals can be a visual representation of negative exponents, which are a way to express repeated division.
National Council of Teachers of Mathematics
The Math Forum: Fractals
This site contains many links to Fractal information where students go to the given links to discover interesting facts about fractals and many mathematical equations that represent a fractal.
Wolfram Research
Wolfram Math World: Fractals
This page briefly illustrates and discusses fractals, which are closely linked to the concept of iteration (repitition.) Site links to well known pictured fractals.
Boston University
Boston University: Chaos, Fractals and Arcadia
This is an interesting site for information on chaos and fractals. Includes links to interactive activities to learn more.
Boston University
Bu: Fractal Geometry of the Mandelbrot Set
This site progresses in iterations through Mandelbrot and Julia sets to explain fractals and the mathematics behind them.
Shodor Education Foundation
Shodor Interactivate: Lesson: Fractals
This site provides some links to activities and lesson plans dealing with fractals and chaos.
Incredible Art Department
The Incredible Art Department: Art Tessellations
Looks at tessellation artists, including M.C. Escher, Robert Fathauer, and Roger Penrose. This is followed by a discussion of fractals and their similarities and differences to tessellations, and links to lessons and resources on...