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Lunar Crater Frequency Distributions
In this lunar crater frequency worksheet, learners use the power-law function to solve 3 problems related to the number of craters in a given area. They integrate the power-law function to determine their answers.
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Domain and Range 2
How do you identify the domain and range of the function? As learners find out it's as easy as creating a graph. They'll identify the domain and range of a relation from its graph, write symbolic expressions describing the relationship...
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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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Sum of an Infinite Series
In this word problem worksheet, students solve one sum of an infinite/rate problem. The rate problem is solvable in two ways. The easiest approach is provided.
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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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Introduction to Infinite Sequences
In this infinite sequences worksheet, students discover the convergence and divergent behavior of infinite sequences. This worksheet references L'Hopital's rule.
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Geometry, Lines and Angles
In this lines and angles worksheet, students answer 10 multiple choice questions about lines and angles.
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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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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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Twelve Facts About e
In this e worksheet, students are presented with several facts about e and Euler. Students are also given a technique to help them remember the numerical approximation for e.
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Review Problems
In this algebra worksheet, students identify functions using the domain and range. They use correct function notation to solve composition functions. There are 13 questions.
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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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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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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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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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Permutations
In this permutations worksheet, 6th graders solve and complete 5 different types of problems. First, they write a simple conceptual art plan with no more than 3 instructions. Then, students use graph paper and a pencil to draw a plan....
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Basic Ohmmeter Use
In this ohmmeter instructional activity, students are given ten questions about circuits and and the resistance in those circuits. They explain how an ohmmeter is used and answer questions about different wire systems and their resistance.