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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...
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Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 9th - 12th
Students 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.
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Lesson Plan
Alabama Learning Exchange

As If Numbers Weren't Complex Enough Already!

For Teachers 9th - 12th Standards
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
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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.
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Worksheet
Curated OER

Complex Analysis: Complex Variables

For Students Higher Ed
In this complex variable learning exercise, students use functional iteration to find the fixed points of a function. This two-page learning exercise explains the functional iteration, the Julia Set and the Mandelbrot set. Four...
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Lesson Plan
Curated OER

Fractals Lesson Plan

For Teachers 9th - 12th
Students create fractals. In this lesson, students use a computer program to explore different types of fractals.
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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,...
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Lesson Plan
NOAA

To Explore Strange New Worlds

For Teachers 5th - 12th
It's time to boldly go where your class has not gone before! The introductory lesson in a five-part series takes young oceanographers aboard the NOAA Ship Okeanos to begin a study of ocean exploration. The lesson includes a comparison of...
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Worksheet
Yummy Math

A Cardioid for Valentine’s Day

For Students 7th - 12th Standards
It's Valentine's Day in geometry class! Celebrate the day of love with a heart-themed activity in which young mathematicians create a cardioid on polar graph paper.
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Lesson Plan
Curated OER

Complex Numbers

For Teachers 9th - 12th Standards
Students examine complex numbers. In this Algebra II lesson, students investigate two programs that involve complex numbers: the MANDELER Program and SYNDIV program.
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Lesson Plan
Curated OER

The Fractal Coast

For Teachers 9th - 11th
Students investigate measuring as it relates to the real world. In this geometry lesson, students measure distances as they discuss fractals and how it relates to measuring. They measure both linear and non-linear distances.