+
Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 10th - 12th
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...
+
Lesson Plan
Curated OER

Fractals

For Teachers 10th - Higher Ed
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...
+
Lesson Plan
Curated OER

Fractals, An Inquiry

For Teachers 6th - 8th
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.
+
Lesson Plan
Curated OER

Introduction To Fractals: an Inquiry

For Teachers 6th - 8th
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...
+
Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 7th - 9th
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.
+
Lesson Plan
Curated OER

Finding Patterns in Fractals

For Teachers 7th - 8th
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.
+
Lesson Plan
Curated OER

Getting Familiar with Fractals

For Teachers 9th - 12th
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.
+
Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 9th - 12th
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.
+
Lesson Plan
Curated OER

Chaos and Fractal Applications

For Teachers 8th
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.
+
Lesson Plan
Curated OER

Why Study Fractals?

For Teachers 9th - 12th
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.
+
Lesson Plan
Curated OER

Patterns in Fractals

For Teachers 8th - 10th
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...
+
Lesson Plan
Curated OER

Irregular Fractals

For Teachers 9th - 12th
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...
+
Worksheet
Curated OER

Two-Variable Function Pump Exploration Questions

For Students 11th - 12th
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,...
+
Lesson Plan
Curated OER

Day #8 - Fractals

For Teachers 9th - 12th
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...
+
Lesson Plan
Curated OER

Spatial Characterization of Animal Movement

For Teachers 9th - 10th
Students identify biotic and abiotic factors which may alter the observed patterns in plant communities with different structural characteristics, climate, or environmental constraints.
+
Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 7th - 12th
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.
+
Lesson Plan
Curated OER

Irregular Fractals

For Teachers 6th - 8th
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.
+
Lesson Plan
Curated OER

Patterns In Fractals

For Teachers 6th - 8th
Students find number patterns in the generation of several different types of fractals.
+
Lesson Plan
Curated OER

Properties of Fractals

For Teachers All
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...
+
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: The Mandelbrot Set

For Teachers 9th - 10th
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.
+
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Fractals and the Chaos Game

For Teachers 9th - 10th
Use the "Fractals and Chaos Game" game as a follow up to previous work on geometric fractals. Included are related activities.
+
Activity
Shodor Education Foundation

Shodor Interactivate: Coloring Remainders in Pascal's Triangle

For Students 9th - 10th
In this activity the student will identify number patterns formed in Pascal's triangle when coloring remainders.
+
Graphic
Shodor Education Foundation

Shodor Interactivate: Coloring Multiples in Pascal's Triangle

For Students 9th - 10th
In this activity, the student can visually identify number patterns in Pascal's triangle by coloring multiples of a given number.
+
Activity
University of Massachusetts

Fractal Project: Exploring Fractals

For Students 9th - 10th
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...