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Math 312 Spring 2004: Argand Plane
In this Argand plane worksheet, students map problems dealing with theoretical aerodynamics to represent cross-sections of airfoils. They use Joukowsky mapping to sketch the image of a circle and compute the limits of a function. This...
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Convergence Tests for Infinite Series
For this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
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Quiz 1: Sums
In this sums worksheet, students evaluate sums. They use the limit definition of the definite integral to evaluate a function. This two-page worksheet contains four multi-step problems.
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The Integral Test
In this integral test, students determine the limits, give partial sums of infinite series, explore geometric series, and use the Integral Test to determine if a function converges. This two-page instructional activity contains six...
Third Rail Games
Factor Samurai
Master composite and prime numbers with this fast-moving game. Using your sword, slice those composite numbers and watch them break up into factors. Slice again if those factors are composite. However, watch out for prime numbers,...
Hump Software
The Writing Machine
Introduce your learners to the letters of the alphabet. They will tap to hear the name of each letter and see a word beginning with that letter appear on the screen. The highly repetitive nature of this app could be a good way to...
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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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Calculus Test
In this calculus activity, students assess their understanding and knowledge of limits, derivatives, differential equations, and other calculus topics. The one page activity contains twenty-eight multiple choice questions. Answers are...
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How Did That Get There?
High schoolers evaluate the role of government in addressing land use and other environmental issues. They analyze the powers, responsibilities, and limitations of elected and appointed officials in the national legislative, executive,...
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What Happens on Average
Fifth graders are introduced to convergence of sequences based on averaging previous terms in the sequence. The power of the "fill-down" function in spreadsheets is exploited. By using various starting numbers, and inferring the limit,...
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Devine Design
Young scholars examine the functions of the different systems in the body. They discover how different systems must work together to make the body function correctly. They identify the needs of the body to help it survive.
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Welcome Back, Carrie!
Students use the Internet and create questionnaires to determine how to help seriously ill students to function optimally at school. They find ways to accomodate the needs of those students and create a weblet to help them.
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The "Right" Ideas
Learners explain five rights guaranteed to them by the Bill of Rights. They describe their own views on the right to limit some of our guaranteed rights. They finally describe the role of a nonprofit organization and how they promote our...
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Rates Of Change
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
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Lesson- Infinite Potential Well
Student create a numerical model which integrates Schrodinger's equation in 1 dimension. They discuss the properties of the solutions which match the boundary conditions. Student discusss any limitations if there are any in there model.
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Volumes of Solids of Revolution (Shell Method)
Students find the volume of solids and disks. In this finding the volume of solids and disks lesson, students find the volume using the washer, disk, and shell method. Students integrate functions in terms of x and y. Students use...
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Light at the Bottom of the Deep, Dark Ocean?
Young scholars participate in an inquiry activity. They relate the structure of an appendage to its function. They describe how a deepwater organism to its environment without bright light.
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Elastic Recoil in Arteries and Veins
A lab in which high schoolers examine the difference between arteries and veins. Budding biologists will find out which blood vessel can stretch furthest, recording their data in a table then answering several questions evaluating their...
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AP Calculus Practice Exam
In this calculus activity, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits. The four page activity contains twenty-eight multiple choice questions. Answers are not provided.
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Iron Bugs
Learners describe how microbial metabolism affect geochemical processes. They define and explain the function of siderophores. They describe two ways bacteria utilize iron and explain why iron availability may limit biological activity.
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Understanding URLs
Ninth graders explore the different domain suffixes in the web site address, how to find the author or sponsor of a page to determine authority and accuracy. They determine how currency of a page. Students enter the lab, log onto...
Pennsylvania Department of Education
What is the Chance?
Fourth and fifth graders make predictions using data. In this analyzing data lesson plan, pupils use experimental data, frequency tables, and line plots to look for patterns in the data in order to determine chance. You will need to make...
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Testing Water for Hardness Using Soap Bubbles K-12 Experiments & Background Information
Students examine water and what causes it to become hard. In this water lesson students use the soap test and determine the mineral content and hardness of a sample of water.