National Research Center for Career and Technical Education
Business Management and Administration: Compound Interest - A Millionaire's Best Friend
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
Curated OER
Fractals Forever or Obvious and Hidden Order
Students discuss ways computers use properties of similar figures to generate scale models and create scenes. they describe patterns they have seen on a fern, pineapple, or pinecone. Students research Benoit mandebrot, H. von Koch and...
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Geometry Everywhere; Fractal, Math & Form
Students explore fractal geometry. They do online explorations of fractals to discover applications of fractal geometry for a report.
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Introduction to Fractals: Infinity, Self-Similarity and Recursion
Young scholars think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is...
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The Fractal Coast
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.
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Fractal Fern
Students identify the location of coordinate pairs of an image. In this geometry instructional activity, students perform transformation and identify the image and pre-image point of location. They apply the concept of fractals to...
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Pyramid in The Desert
Students investigate the Sierpinski triangle and calculate the ratio and area of the triangle. In this fractals lesson, students calculate parts of a Sierpincki triangle. They use Google Earth to help them construct the different parts...
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Why Study Fractals?
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...
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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...
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Fractal Fraction Fun
Students discover the interesting patterns and shapes referred to as "fractals." In this geometry lesson, students utilize pieces of colored construction paper to create the branches of a fractal tree. Students discuss the rules and...
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Cantor Set
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.
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Irregular Fractals
High schoolers explore the concept of irregular fractals. In this irregular fractals activity, students discuss how to find fractal dimensions through teacher led discussion. High schoolers calculate fractal dimensions of various fractals.
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Patterns in Fractals
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...
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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...
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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.
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Patterns In Fractals
Students find number patterns in the generation of several different types of fractals.
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Lesson #10 Fractals
Students listen to a lecture on fractals. A video is mentioned, but not linked to the lesson plan. Students discuss graphing calculators and their features.
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Cutting Up in Class, Fractal Style
Students create three-dimension models demonstrating exponents, multiplying and dividing of fractions, and the use of repeating patterns in tessellations, mirror images, and tiling.
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The Sierpinski Triangle
Learners investigate the Sierpinski triangle. In this geometry lesson, students define fractal curves and its relationship to triangles. They identify repeating sequences and relate it to fractals.
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The Art and Science of Fractals
Learners 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.
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Geometry: Fractal Scavenger Hunt
Students experience an Internet fractal scavenger hunt. They write a report on fractals using the Internet and recording the sites where they are located.
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The Mandelbrot Set
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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Pascal's Triangle
Students explore the concept of Pascal's Triangle. For this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Students develop patterns starting with various numbers in Pascal's...
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The Mandelbrot Set
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.