Curated OER
The Mandelbrot Set
Learners explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Learners use Julia set and Mandelbrot set...
Curated OER
Fractals
Students explore the concept of fractals. In this fractal lesson, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and teacher guided...
Curated OER
Fractals, An Inquiry
Students observe and discuss several different fractal drawings and relate them to patterns they see in nature. They use an online fractal tool to create and modify a fractal image and then create their own fractal image with paint.
Curated OER
Introduction To Fractals: an Inquiry
Students evaluate a playful case study about a dog searching for fetching sticks to identify the steps in the science inquiry method. They read the case study and fill in a worksheet with the examples of questions, observations and...
Curated OER
Patterns in Pascal's Triangle
Learners examine the patterns that exist in Pascal's Triangle. They explore multiples and factors. Sudents use an applet to create and color the multiples in Pascal's Triangle.
Curated OER
Finding Patterns in Fractals
Students discover patterns and sequences. They use a website to explore patterns and fractals. Students share their discovery of fractals and their patterns with the class. They develop a list of patterns used in everyday life.
Curated OER
Getting Familiar with Fractals
High schoolers use the Internet to answer lab questions about fractals, and then construct fractals using the initial stage and iteration rule. They complete tables and generate rules for the "nth" term and create their own fractals.
Curated OER
The Mandelbrot Set
High schoolers are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
Curated OER
Chaos and Fractal Applications
Eighth graders identify the different applications of fractals. In this math lesson, 8th graders use graphing calculator to solve algorithms. They explain how changing parameters and initial conditions affect the solutions.
Curated OER
Why Study Fractals?
Students explore the concept of fractals. In this fractals lesson, students use the website to research where fractals occur in nature. Students research what fractals are and how fractals are used to solve real world problems.
Curated OER
Patterns in Fractals
Young scholars explore the concept of fractal patterns. In this fractal pattern lesson, students use an applet about the Hilbert Curve to answer questions about rectangles and other polygons. Young scholars derive the fractal pattern...
Curated OER
Irregular Fractals
High schoolers explore the concept of irregular fractals. In this irregular fractals instructional activity, students discuss how to find fractal dimensions through teacher led discussion. High schoolers calculate fractal dimensions of...
Curated OER
Two-Variable Function Pump Exploration Questions
Guiding students through two variable (complex) functions, this worksheet 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
Day #8 - Fractals
Students explore fractals and draw fractal curves. To assist in remembering the methods, they sing a song about fractals, watch a video, and create images of fractals on dot paper. Students observe and discuss a comic strip about...
Curated OER
Spatial Characterization of Animal Movement
Students identify biotic and abiotic factors which may alter the observed patterns in plant communities with different structural characteristics, climate, or environmental constraints.
Curated OER
The Mandelbrot Set
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.
Curated OER
Irregular Fractals
Students study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.
Curated OER
Patterns In Fractals
Students find number patterns in the generation of several different types of fractals.
Curated OER
Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
Shodor Education Foundation
Shodor Interactivate: Lesson: The Mandelbrot Set
In this lesson plan learners will explore Julia sets and the Mandelbrot set. In the process they will learn about fractals and explore complex numbers and function iteration.
Shodor Education Foundation
Shodor Interactivate: Lesson: Fractals and the Chaos Game
Use the "Fractals and Chaos Game" game as a follow up to previous work on geometric fractals. Included are related activities.
Shodor Education Foundation
Shodor Interactivate: Coloring Remainders in Pascal's Triangle
In this activity the student will identify number patterns formed in Pascal's triangle when coloring remainders.
Shodor Education Foundation
Shodor Interactivate: Coloring Multiples in Pascal's Triangle
In this activity, the student can visually identify number patterns in Pascal's triangle by coloring multiples of a given number.
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...