Lesson Plan
Curated OER

Fractal Fern

For Teachers 8th - 10th
Learners identify the location of coordinate pairs of an image. In this geometry lesson, students perform transformation and identify the image and pre-image point of location. They apply the concept of fractals to...
Lesson Plan
Curated OER

Pyramid in The Desert

For Teachers 9th - 11th
Students investigate the Sierpinski triangle and calculate the ratio and area of the triangle. For this fractals lesson, students calculate parts of a Sierpincki triangle. They use Google Earth to help them construct the different parts...
Lesson Plan
Curated OER

Why Study Fractals?

For Teachers 9th - 12th
Young scholars explore the concept of fractals. In this fractals lesson, students use the website to research where fractals occur in nature. Young scholars research what fractals are and how fractals are used to solve real world...
Lesson Plan
Curated OER

Cantor Set

For Teachers 9th - 12th Standards
Discover an interesting mathematical object that your algebra learners will enjoy investigating. Their adventure will lead them to the generation of a finite geometric series.
Lesson Plan
Curated OER

Irregular Fractals

For Teachers 9th - 12th
Students explore the concept of irregular fractals. In this irregular fractals lesson, students discuss how to find fractal dimensions through teacher led discussion. Students calculate fractal dimensions of various 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
Curated OER

Patterns in Fractals

For Teachers 8th - 10th
Students 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. Students derive the fractal pattern when dividing...
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

Patterns In Fractals

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

Lesson #10 Fractals

For Teachers All
Students listen to a lecture on fractals. A video is mentioned, but not linked to the lesson. Students discuss graphing calculators and their features.
Lesson Plan
Curated OER

The Sierpinski Triangle

For Teachers 9th - 10th
Students investigate the Sierpinski triangle. In this geometry lesson plan, students define fractal curves and its relationship to triangles. They identify repeating sequences and relate it to fractals.
Lesson Plan
Curated OER

The Art and Science of Fractals

For Teachers 7th - 10th
Students explore the world of fractal images and the mathematics behind them. They explore fractal sites on the Internet. They create their own fractal designs. They publish a calendar displaying their favorite fractal art.
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

The Mandelbrot Set

For Teachers 10th - 12th
Students 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. Students use Julia set and Mandelbrot set...
Lesson Plan
Curated OER

Geometry: Fractal Scavenger Hunt

For Teachers 7th - 12th
Learners experience an Internet fractal scavenger hunt. They write a report on fractals using the Internet and recording the sites where they are located.
Lesson Plan
Curated OER

Big Fleas Have Little Fleas!

For Teachers 7th - 8th
Students study seamounts and learn the importance of structures to species. In this ocean explorer lesson, students participate in an activity that teaches them how to modify a seamount so that they are more suitable for species. 
Lesson Plan
Curated OER

The Chaos Game

For Teachers 6th - 12th
Students measure and predict the behavior of a fractal.  In this investigative lesson students divide into groups, and participate in an activity that includes drawing triangles and coloring vertices. 
Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 7th - 9th
Pupils 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

Properties of Fractals

For Teachers 6th - 8th
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 7th - 11th
Learners explore the concept of Pascal's Triangle. In this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Learners develop patterns starting with various numbers in Pascal's...
Activity
Wake Forest University

Authentic Activities for Connecting Mathematics to the Real World

For Students 6th - 12th Standards
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...
Lesson Plan
Curated OER

CHAOS AND COMPUTERS

For Teachers 9th - 12th
Students discuss the Chaos Theory and how it came into existence.They observe order and compare it to the randomness of chaos. The lesson plan features the playing of a game to reinforce concepts.
Lesson Plan
Curated OER

Investigating the Sierpinski Triangle

For Teachers 9th - 11th
Young scholars solve and analyze the sierpinski's triangle. In this geometry lesson plan, students identify properties and theorem of triangles. They solve problems involving angles and sides of triangles.
Lesson Plan
Curated OER

Snowflake Curve

For Teachers 6th - 8th
Students develop an appreciation for complex structures in nature. They observe patterns in nature in relationship to the Real World. Students use observation skills to assist in problem solving. They show comprehension of the concepts...