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What do Maps Show?

For Teachers 7th
Seventh graders practice reading maps.  In this geography lesson, 7th graders compare a topographical map to a picture of the actual place. 
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Building a Topographic Model

For Teachers 9th - 12th
Students explore the features of a topographic map. They make paper models that portray, in three-dimensions, features represented by contour lines on a topographic map. Students demonstrate different elevations shown on a...
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Cross Section and Slope

For Teachers 6th - 8th
Students draw cross sections of given contour maps. In this math lesson, students interpret the different symbols used in the map. They determine slope and steepness through direct measurement.
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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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Proto-Cubism: Thinking Like Picasso

For Teachers 8th
Eighth graders create blind contour drawn portraits. They work in small groups and pose for each other, creating portraits that express multiple points of view. Students also view a PowerPoint presentation on Cubism and complete a...
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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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Making Topographic Maps and Mountain Profiles

For Teachers 7th - 11th
Students study how to mark inclines and construct a mountain profile.  In this topographic map lesson students mark contour intervals and draw mountain profiles. 
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A Different View

For Teachers 7th - 8th
Students create art using digital cameras and computers. In this visual art lesson, students look at examples of Andy Warhol's artwork and Pop Art. They create a contour line drawing of their self portrait and manipulate it using Whole...
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Complex Analysis: Improper Integral

For Students Higher Ed
For this improper integral worksheet, students evaluate improper integrals and its limits. They evaluate improper integrals using contour integration and define the Cauchy Principal Value. This two-page worksheet contains explanations...
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Multivariable Optimization

For Students Higher Ed
In this multivariable optimization activity, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions. This four page...
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Andy Warhol Animals

For Teachers 1st - 5th
Learners view and identify the colors on the color wheel. After viewing a PowerPoint, they discuss the reasons why animals become endangered. They examine the life and works of Andy Warhol and review contour drawing. To end the...
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Viewing Earth and Sky

For Students 7th - 12th
In this earth and sky instructional activity, students review terms associated with map reading. Students also review topographic maps and how contour lines represent elevation. This instructional activity has 5 matching, 5 true or...
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Facial Tattoos or Face Painting

For Teachers 7th - 8th
Students use a grid-like method to create a life-size self-portrait from a 3X5 black and white photo. They explore the different customs and rituals surrounding face painting from ancient through modern civilizations. Students create a...
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Mapping Potato Island

For Teachers 5th - 9th
Learners create their own topographical map using a potato. In this hands on lesson students construct a topographical map and explain what contour lines are using a potato.
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Singing And Making Rhythm

For Teachers 1st
First graders engage in a lesson that emphasizes the use of music to form a rhythmic beat that incorporates singing. They create a song in freestyle and some of them create a song. Students are assessed at using hand movement to track...
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Planning a Railroad Online Lesson

For Teachers 7th - 8th
Students design a train route using a topographical map. In this historical and spatial thinking lesson plan, students must plan a route through the Sierra Nevada mountains that a train could physically travel. Links to printable student...
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Demonstrating Erosion in Action

For Teachers 3rd - 12th
Young scholars easure and record volume of water, then measure and record mass of soil. They explain the effects of the following in controlling erosion: Contouring, cover crop, strip cropping, reforestation, inter-seeding.
Worksheet
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Math 312 Spring 98 - Cauchy's Residue Theorem

For Students Higher Ed
In this Cauchy's Residue Theorem, students use the theorem to solve given functions. They evaluate integrals. This two-page worksheet contains two problems.
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Building A Topographic Model

For Teachers 7th - 8th
Students visualize, in three dimensions, features represented by contour lines on a topographic map. They see that the different elevations shown on a two dimensional topographic map can be used to build a 3-D model.
Worksheet
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Complex Analysis: Independence of Path

For Students Higher Ed
In this independence of path worksheet, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page worksheet contains four problems.
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Math 312 Spring 2004: Complex Integration

For Students Higher Ed
In this complex integration learning exercise, students compute the value of the integral, sketch the contour and identify the parameterizations used. This two-page learning exercise contains approximately five problems.
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Reading A Weather Map

For Teachers 9th
Ninth graders construct a weather map. In this meteorology lesson, 9th graders construct a weather map using contour lines and temperature.
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Vocabulary for Dimensions of the Earth

For Students 7th - 12th
In this Earth dimensions activity, students define 24 terms associated with contour maps, latitude, longitude, and time zones.
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Plotting the Petroleum Plume

For Teachers 8th
Eighth graders examine the difference between confining layers and aquifers in a basic water table aquifer scenario. They contour groundwater elevation and petroleum product thickness data.

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