Worksheet
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Multivariable Calculus: Change of Variables Theorem

For Students Higher Ed
In this change of variables instructional activity, students complete integral problems through the use of Jacobi's Theorem. They use various methods to convert from Cartesian coordinates to polar, spherical and cylindrical coordinates....
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Discussion Sheet 6: Exponential Growth

For Students Higher Ed
In this exponential growth worksheet, students integrate problems and determine exponential growth. This one-page worksheet contains twelve problems.
Activity
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Book of the Month - A Technology-Integrated Literacy Project

For Teachers 6th - 8th
Students write a paragraph predicting what the book is about after viewing the front cover. They are given a copy of the Story Parts Maps, students are explained each story part. Students are explained that they most take notes on the...
Lesson Plan
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Integrated Algebra Practice: Absolute Value Expressions

For Teachers 9th - 12th
In this absolute value expression worksheet, students solve 13 multiple choice and short answer questions. Students simplify absolute value expressions by adding, subtracting, and finding the absolute value of rational numbers.
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The "Heart" of the Problem

For Teachers 7th - 9th
Learners create an exercise and nutrition program. In this interdisciplinary instructional activity, students use calculations of exercises plus their corresponding effects on the body and nutritional values of food to derive a health...
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Integrating Mathematics: Amino Acid Combinations

For Students 8th - 10th
In this amino acid worksheet, students read about amino acid combinations that make proteins and they calculate the number of combinations that can be made to make proteins.
Lesson Plan
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Tools for Integrating Math and Engineering: Weighin' In

For Teachers 7th - 12th
Young scholars collect and analyze data on a fictional cereal company's products. In this measurement lesson, students collect data from cereal boxes (weight, volume, surface area, etc.) to determine if the boxes labels correctly inform...
Lesson Plan
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Integrals with Odd Powers of Sine and Cosine

For Teachers 11th - 12th
Young scholars review the power rule for integrals. They watch as the teacher demonstrates several problems. Students describe problems as an integral of u^n or du/u. They discuss problems that are not u^n because of the absence of a...
Lesson Plan
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Integrals with Even Powers of Sine and Cosine

For Teachers 11th - 12th
Students discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...
Lesson Plan
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Integrals by Partial Fractions (Heaviside Method)

For Teachers 11th - 12th
Students listen as the teacher describes the Heaviside Method of integrating integrals. They solve several problems using the Heaviside Method, and practice deciding when this method can and can not be used. Students work several...
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Making Choices

For Students Higher Ed
In this making choices worksheet, students find the integral of given problems. This one-page, hand-written, worksheet contains 52 problems.
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Worksheet 12: Area of Regions

For Students Higher Ed
In this area of regions worksheet, students find the area of regions bounded by graphs. They evaluate integrals for the volume of solids and integrate functions. This three-page worksheet contains approximately 25 problems. This is a...
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ESP Quiz 6

For Students Higher Ed
In this indefinite integrals worksheet, students compute the answers to five computation problems. The worksheet is intended to be used as a quiz.
Lesson Plan
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What's A Problem?

For Teachers 5th
Fifth graders utilize strategies to solve a variety of problems and create problems of their own. They write explanations of problem solutions and using a checklist, evaluate themselves.
Lesson Plan
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Problem Sets `a la IMSA

For Teachers Higher Ed
In this math worksheet, students complete a series of mathematical investigations to determine readiness for the course of study they are enrolled in. This worksheet is problem set four in a set of worksheets for calculus.
Lesson Plan
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Equation of State Problem Set

For Teachers 9th - 12th
Students demonstrate their understanding of the equation of state by computing the gas constant from air properties. They use online research tools and apply integrated math problem-solving strategies to solve problems outside the realm...
Lesson Plan
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Integrating Mathematical Concepts in the Study of the Atmosphere and the Ocean

For Teachers 10th - 12th
Pupils utilize problem solving strategies that emphasis writing in mathematics, and strategies that have students make decisions and draw conclusions. They connect math to weather and climate topics.
Lesson Plan
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Integration Unit: Riemann Sum

For Teachers 11th - 12th Standards
Students investigate Riemann Sums. In this calculus lesson plan, students solve problems involving Riemann sums and Right Riemann Sums.
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Worksheet 8: Rate, Differentials

For Students Higher Ed
In this rate instructional activity, students read story problems, determine the necessary information, and solve the rate problem. They use differentials to estimate the value of a function at a given point and integrate functions. ...
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Worksheet 9

For Students Higher Ed
In this integration worksheet, students solve 30 short answer (computation) problems. They find the area of regions enclosed by graphs of given functions for one problem. Students solve five short answer problems using derivatives. They...
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Complex Analysis: More Applications of Residues

For Students Higher Ed
In this applications of residues worksheet, students evaluate complicated trigonometric integrals and use residues to evaluate the sum of an infinite list of numbers. This two-page worksheet contains explanations and examples, as well...
Worksheet
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Complex Analysis: Cauchy Principal Value

For Students Higher Ed
For this Cauchy Principal Value worksheet, students evaluate improper integrals. This three-page worksheet contains eight problems, as well as explanations and examples.
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Bonus Quiz Cauchy Principal Value

For Students Higher Ed
In this Cauchy Principal activity, students identify the value of a function by evaluating the contour integral. This two-page activity contains one problem.
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Math 224 Multivariable Calculus Quiz

For Students 11th - Higher Ed
In this math worksheet, students practice the concept of multiple integration. They take a quiz based on applying the concept and show all their work for the two problems.