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Complex Analysis: Applications of Cauchy-Goursat

For Students Higher Ed
In this Cauchy-Goursat instructional activity, students evaluate integrals, sketch the contour and explain the methods used to evaluate the problem. This two-page instructional activity contains approximately six problems.
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Powers of Trig Functions

For Teachers 10th - 11th
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
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Worksheet 4

For Students 11th - Higher Ed
In this math learning exercise, students define the details of a definite integral and how it is used. They also apply math to physics to compute how work for lift is calculated.
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Choose Your Own Adventure Story

For Teachers 4th - 12th
Students investigate the concept of writing adventure stories. They follow the model of a "choose your own adventure story". Students practice the skill of making choices to get to a desired outcome. The application is when they follow...
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A.P. Calculus BC Section II, Part A and Part B

For Students 12th - Higher Ed
In this A.P. Calculus BC worksheet. students solve six practice problems.  A graphing calculator is required on the first three questions and not allowed on the next three.  Directions are provided.
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Interview With A Legend

For Teachers 8th
Eighth graders investigate how Language Arts and Social Studies can be integrated in the curriculum. They conduct research about a famous person in history. Then students use the information to write a report for the class. Then students...
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Population: Logistically Speaking

For Teachers Higher Ed
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
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One Sniff Can Kill!

For Teachers 6th - 8th
Young scholars investigate the question: In what ways can a common household products hurt you? This lesson integrates with drug and alcohol units in science classes as well as language arts in the form of the Public Service Announcement...
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Complex Analysis: Path Independence

For Students Higher Ed
In this path independence worksheet, students evaluate contour integrals using the Cauchy-Goursat Theorem. This two-page worksheet contains approximately 5 problems.
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Factors and Zeros

For Students 10th - 12th
For this factors and zeros worksheet, students factor given problems.  They write polynomial functions with integral coefficients.  This four-page worksheet contains 20 problems.  Answers are provided on the last page.
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The Ultimate Vacation

For Teachers 9th - 12th
Students use research skills to solve a problem. They research information needed to plan a vacation. Students create a letter, a flyer, an itinerary, an activity list, cost spreadsheet, a reference page, table of contents and a title page.
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Scientific Method

For Teachers 9th - 12th
Students explore the steps in the scientific methods. Through activities, students discover the scientific is a tool for solving problems of any kind. Students will fill out a scientific method chart, and determine what information is...
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Trapezoids

For Students 10th
In this trapezoids activity, 10th graders solve 10 different types of problems related to measuring trapezoids. First, they identify the isosceles trapezoid on the sheet with the bases MA and TH. Then, students use the given information...
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Subtracting Real Numbers

For Students 8th - 10th
In this algebra worksheet, students apply properties of subtraction to solve problems. They rewrite word problems using algebraic symbols. There is one problem with an answer key.
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Leaf Patterns

For Teachers 1st
First graders explore the existence of patterns in everyday items. In this science and math integrated lesson, 1st graders match leaves with a name word card and organize them into four patterns. This lesson includes a reading of And the...
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ASPIRIN (Assess Simulated Presentation Involving Realistic Injury Now)

For Teachers 10th - 11th
Pupils integrate biology and chemistry into a medical framework. They nterpret observations and data and evaluate their hypotheses in the light of the data obtained.. They make appropriate diagnosis and recommend treatment.
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Multi Media "self" Presentation

For Teachers 9th - 12th
Young scholars create a three-five minute presentation that visually illustrates major aspects of the their lives. Using Movie Works software as a base, they integrate video, photography, artwork, graphic elements, and sound to produce...
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To Market to Market

For Teachers 4th
Fourth graders research a product and participate in an integrated simulation of a free market economy where students will create, buy and sell a good or service. In completing this activity, 4th graders understand the concepts and...
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The Mandelbrot Set

For Teachers 10th - 12th
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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Relating Graphs to Events

For Students 7th - 9th
For this algebra worksheet, students identify the graph that goes with-the equation. They solve word problems using graphs. There are 4 problems with an answer key.
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Linear Equations and Their Graphs

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students solve problems involving interpreting the slope of a linear equation as a rate of change.  The two page worksheet contains a combination of seven multiple choice and free response...
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Six Evaluating Algebraic Expressions Practice for the Math Regents Exam

For Students 8th - 10th
In this substitution activity, students evaluate six algebraic expressions.  These six problems are practice for  the math regents exam and the solutions are provided.
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Solving Equations Using More than One Operation

For Students 8th - 10th
In this algebra worksheet, students solve equations using addition, subtraction, multiplication and division. They solve word problems using equations. There are 5 questions with an answer key.
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Powers with Zero and Negative Exponents

For Students 8th - 10th
In this algebra worksheet, students identify the properties of exponents. They solve problems with a power of zero and negative integers. There are 7 questions with an answer key.