Curated OER
Hotel Infinity
Students investigate the concept of infinity. They read a story, discuss the concept of infinity from the story, and create an illustration of the hotel described in the story.
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What is zero? What is infinity? Where they come from? (Senior, Mathematics)
Students discuss and determine what is zero, what is infinity, and where do these numbers come from?
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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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Intuitive Approach to Limits
Students identify and comprehend the concept of limit in mathematics. They also view artistic works illustrating limits by M. C. Escher and apply techniques of one-sided limits to graphs of relations. Finally, students compute limits...
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Introduction to Fractals: Infinity, Self-Similarity and Recursion.
This lesson plan introduces young scholars to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
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Infinity
Students engage in a lesson plan that is concerned with the concept of infinity as defined in a series by geometry. The lesson plan integrates the use of philosophy to help them comprehend how infinity can possibly mean while...
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Introduction to Fractals: Geometric Fractals
Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.
EngageNY
End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
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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.
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Properties of Fractals
Learners 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...
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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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L'Hopital's Rule
Students solve limit problems. In 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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3c and 5c Stamps
Students explore multiples of consecutive numbers. Given a real life situation, students devise and use problem solving strategies. Students describe what it means for a sequence to carry on to infinity. They locate patterns in...
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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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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 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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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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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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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.