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Introduction to Fractals: Geometric Fractals
Learners explore the concept of fractals. For this fractals lesson, students discuss Sierpinski's Triangle using an applet. Learners discuss the patterns involved with fractals. Students discuss the area of Sierpinski's triangle as the...
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What are Fractals?
Middle and high schoolers identify and analyze fractals and research information using the Internet to locate information about them. They look at fractals in relation to nature and other real world situations. Pupils create several...
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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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To Infinity and Beyond
Students explore the planets in our solar system and create a brochure on each planet. They read the book, The Magic School Bus: Lost in the Solar System and write notes about solar system facts and watch a video. After the video, they...
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Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
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L'Hopital's Rule
Students solve limit problems. For this solving limit problems lesson, students use L'Hopital's Rule. Students apply L'Hopital's Rule to functions as long as the derivative of the top function and bottom function is zero. Students...
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Your Body, Your Health
Students study sickle cell anemia and other genetic disorders. In this investigative lesson students create a poster and present it to the class on a certain disorder.
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Definition of the Derivative
Students find the derivatives of functions. In this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function. Students discuss scenarios in which the derivative does...
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Learning Abstract Concepts
Students create iMovies depicting abstract concepts, such as sorrow, future, wishes, infinity, etc., in this technology-based Visual Arts/Language Arts lesson plan. Music can be used to enhance created movies.
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Graph Of The Derivative
Students engage in a lesson plan that is concerned with defining and drawing the graph of a derivative. The lesson plan includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples...
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Inside Story: Your Body, Your Health
Students research about different genetic disorders. In this biology lesson plan, students create a poster highlighting facts about the disorder. They present their findings in class.
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Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
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Converge or Diverge?
Young scholars prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and...
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The Universe
Students recognize that the stages of evolution a star goes through are determined by the size of the star. They conduct research to draw a set of diagrams illustrating the stages in the evolution of three sizes of stars.
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Technology vs. Nontechnology
Fourth graders determine the range, mean, median and mode using a computer spreadsheet. An identical set of calculations is done without using a computer. The results of each method are compared. They calculate the mode, median and range...
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The Gum Drop
Students find the area of three figure by the traditional formulaic methods. Then they count the number of grid squares to double check. They show an intuitive sense of Pick's Algorithm by counting every two boundary squares as one unit....
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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.
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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.
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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...