Lesson Water and Dams in Today's World

Quick Look

Grade Level: 5 (4-6)

Time Required: 45 minutes

Lesson Dependency: None

Four drawings of which three are solid objects of varying shapes; the fourth has a thinner base and three angled perpendicular supports on one side.
Different types of dams (left to right): arch dam, embankment dam, gravity dam, and a buttress dam.
copyright
Copyright © PBS, WGBH, http://www.pbs.org/wgbh/buildingbig/dam/challenge/index.html

Summary

Students learn about the importance of dams by watching a video that presents historical and current information on dams, as well as descriptions of global water resources and the hydrologic cycle. Students also learn about different types of dams, all designed to resist the forces on dams. (If the free, 15-minute "Water and Dams in Today's World" video cannot be obtained in time, the lesson can still be taught. See the Additional Multimedia Support section for how to obtain the DVD or VHS videotape, or a PowerPoint presentation with similar content [also attached].)

Engineering Connection

When engineers design dams and other large structures, they calculate the forces expected to act on the structure as well as its potential for reacting to these forces. Different geometries and materials respond differently to the forces created by a dam. As part of the design process, engineers take into consideration information about the intended use of a dam to help them determine the most suitable size and type.

Learning Objectives

After this lesson, students should be able to:

  • Identify various types of dams.
  • Understand the different forces acting on a dam.
  • Understand the considerations engineers must make when desinging a dam.

Worksheets and Attachments

Visit [www.teachengineering.org/curriculum/print/cub_dams_lesson02] to print or download.

Introduction/Motivation

(Note: In advance of this lesson, obtain a free copy of the 15-minute "Water and Dams in Today's World" video as described in the Additional Multimedia Support section. As an alternative, use the PowerPoint slide show available at the same website [also attached]. Also make copies of the Get the Facts Worksheets (PDF) for students fill out during or after the video/slide presentation.)

Dams are one way that communities make sure they have enough water for everyone in their area. Dams help with irrigation, business needs, farming, and in producing hydroelectricity. How can water be stored so that you have enough in the middle of summer? How do hydroelectric plants have controls over the amount of water entering a turbine? Can you think of any negative impacts of dams? What happens when you block a river? Where do the fish go? What happens to the river and terrain on the side below the dam? What happens to the natural environment above the dam? What about salmon that migrate upstream to lay eggs? These are important questions relating to the creation of dams.

The video, "Water and Dams in Today's World," that you are about to watch provides great footage of many dams and their uses. While you watch this film, keep these questions in mind (write them on the board): Are all dams the same? How do they differ? What are the four main types of dams? How do dams differ in size, construction material, design and capacity?

What do engineers consider when they design a new dam? What do engineers worry about? Engineers mainly concern themselves with the forces expected to be exerted on the dam. A dam must withstand the forces acting on it or else it will fail. If failure does occur, it can be catastrophic including the loss of lives and property.

What is a force? What exerts a large force on a dam? A force is an outside influence that can cause a motion or pressure. When you lean on a wall, you exert a force on it. A large amount of force is exerted on a dam by the water in the reservoir. Imagine that you had to hold up a dam wall by leaning on it. Can you imagine how much all the water behind the dam would push on you? Could you do it? Would it help if you leaned over to support it instead of standing straight up?

(If you're planning to do the associated activity Dam Forces, say the following.) Let's return to our ongoing story about Thirsty County. Now that you (the engineers at Splash Engineering) understand why Thirsty County needs a dam for water supply and hydropower (as described in lesson 1's activity), you may begin designing that dam!

Let's find out about the different types of dams and learn about the forces acting on each type of dam. This is what civil engineers do as part of creating a good design for their clients (such as Thirsty County).

(If you're planning to do the associated activity, say the following.) Once we've done that — at the end of the activity — Splash Engineering will choose which type of dams to use in its design for Thirsty County.

(Hand out the worksheets and run the video or slide show.)

Lesson Background and Concepts for Teachers

Besides Egyptian pyramids or the Great Wall of China, dams are the largest structures built by humans. Throughout history, large dams have prevented flooding, enabled farmland irrigation, and generated great amounts of electricity. Our modern life would not be the same without dams. Since the first large-scale dam was built in Egypt more than 5,000 years ago, engineers have devised various types of dams to withstand river forces.

Aerial photo shows a concrete structure blocking a river flow and holding back a supply of water. From above, the structure shape looks like a series of scallops across the river width.
Built in the 1930s, the Bartlett Dam in Arizona is an example of a reinforced concrete, multiple arch and buttress dam; it consists of 10 arches, nine buttresses and two gravity wing dams.
copyright
Copyright © Andy Pernick, US Bureau of Reclamation, US Department of the Interior http://www.usbr.gov/lc/region/g5000/photolab/gallery_detail.cfm?PICIDTYPE=2030

The four main types of dams are: arch, embankment, gravity and buttress (as well as combinations of these types). A description of each is provided in the Vocabulary/Definitions section. Dam types differ in their design, size and material. A dam's design may be influenced by local topography. For instance, a deep narrow canyon provides an ideal place to construct a tall arch dam (like the Hoover Dam).

Aerial photo shows a wide and straight concrete structure blocking a river flow and holding back a supply of water. From above, the structure shape looks like a wall across the river width, tipped towards the resulting reservoir.
Completed in 1942, the Friant Dam on the San Joaquin River in California is an example of a concrete gravity structure.
copyright
Copyright © Bart Good, US Bureau of Reclamation, US Department of the Interior http://www.usbr.gov/lc/region/g5000/photolab/gallery_detail.cfm?PICIDTYPE=8213

Much force is exerted on a dam by the water held in its reservoir. If this force is large enough, it can cause the dam to fail at any weak points. Engineers take these critical forces into account and design dams that can withstand large forces plus a safety factor. "Building in a safety factor" means designing something to withstand more force that is usually needed, so it will not fail in case unforeseen events of unusual magnitude happen, such as floods and earthquakes.

The Teton Dam failure in 1976 is the largest, recent dam failure in the US. The Teton Dam was authorized in 1964, and finished in November 1975. Filling began on October 3, 1975, and continued until the dam failed on June 5, 1976. At that time, the reservoir was 302-feet (92-meters) deep, ~3-feet (1-meter) below the spillway. Leaks below the dam were first noticed on June 3, 1976, but were not considered cause for alarm. However, starting at 7am on June 5, dam personnel noted leaks both in the abutment rock at the north bank of the river at the base of the dam and about 100 feet from the top of the dam. These leaks worsened and by mid-morning warnings were sent out that the dam might fail. Failure occurred at 11:50am. Property damage was estimated at up to $1 billion, and 14 people died in the flood. No one can agree on why it collapsed, and the dam was never re-built.

Lesson Closure

How important are dams to our society? Are all dams the same? Let's discuss the different types of dams and how forces affect them. What are some common dam types that engineers consider when designing a dam for a particular river location? (Answers: Arch, embankment, gravity, buttress.) What makes each one of these different from the others? Do you know of any dams in our community? Have you ever visited a dam in another town, state or country? Thinking of those dams, what types (or combination of types) were they?

Let's also review forces. Does anyone have any examples of forces? Remember that a force is anything that can cause motion. In what direction does the force of a student sitting in a chair act? Kicking a soccer ball? Why do we talk about forces when we talk about designing dams or any other big structure? (Possible answers: Because forces affect the design and materials chosen for a dam, and if we do not design a structure to handle the expected forces then it might fail and become dangerous.) What are the different forces acting on a dam? (Answer: The main force is the water in the reservoir pushing on the dam; other forces include the weight of the dam itself, any traffic across the dam, and in some cases wave pressure, snow load or earthquake forces.)

Vocabulary/Definitions

arch dam: A curved dam whose shape directs the force of the water into the canyon walls adjacent to the dam. This type of dam requires less material than any other type of dam and is ideally suited to narrow, rocky locations.

buttress dam: A dam braced by a series of supports, or buttresses, on the downstream side. Most buttress dams are made of reinforced concrete.

dam: A barrier to obstruct the flow of water, especially one made of earth, rock, masonry and/or concrete, built across a stream or river.

embankment dam: A dam made of earth and/or rock, relying upon its heavy weight to resist the force of water. Embankment dams include a waterproof core that prevents water from seeping through it. Embankment dams are the most commonly-built type of dam in the US.

engineer: A person who applies her/his understanding of science and mathematics to creating things for the benefit of humanity and our world.

force: An outside influence that can cause a motion or pressure. For example, to open a door, you exert a force on the door in the direction that you want to open it.

gravity dam: Massive dams that resist the thrust of water entirely by their own weight. Most gravity dams are expensive to build because they require so much concrete.

hydrologic cycle: The natural, continuous cycle of water in various forms, including ocean water, clouds and precipitation, around the Earth. Also called the water cycle.

spillway: The route, channel or passageway through which surplus water escapes from a reservoir, so as to not damage the dam. A common spillway type is an overflow — a rounded crest that is somewhat lower than the top of the dam. The overflow allows water to be spilled from the dam before the dam is overflowed.

Assessment

Pre-Lesson Assessment

Discussion Questions: Ask discussion questions to get students to think about the upcoming lesson. After soliciting answers, explain that these questions will be answered during the lesson.

  • How strong must a dam be to hold back the water of a river?
  • How would an engineer at Splash Engineering know how strong to make a dam?
  • How strong must the Thirsty County dam be to counteract the force of the water acting on it?

Post-Introduction Assessment

Concept Juggle: Have students stand in a circle and toss a ball to each other. Each time they toss the ball, have them give an example of a force and estimate how strong it is (such as, very strong, weak, etc.), and then pass the ball along to someone else. Go around the circle until everyone has had a chance to catch the ball. (Example forces: Pushing a wheelbarrow, pulling a rope, kicking a soccer ball, throwing a ball.)

Lesson Summary Assessment

Splash Engineering Conference/Discussion: As a class, discuss the answers to the Get the Facts Worksheet. Arrange student desks in a circle to mimic engineers holding a discussion around an office conference table.

Lesson Extension Activities

Independent Research: To help reinforce their understanding of the four types of dams, ask students (alone or in small teams) to choose one type of dam and find a real-world example. Ask them to describe their chosen dam to the class. For instance, the Roosevelt Dam is a famous arch dam located in Phoenix, AZ. It is 357 feet high and has a hydroelectric generating capacity of 36,000 kW.

Additional Multimedia Support

Obtain a free copy of the 15-minute video, "Water and Dams in Today's World," contact the United States Society on Dams at 1616 17th Street, Suite 483, Denver, CO 80202 (303-628-5430) or email Larry Stephens at stephens@ussdams.org. Request DVD or VHS video format. Also see: http://ussdams.com/ussdeducation/resources.html#top

As an alternative to the video (with similar content), use the 65-slide PowerPoint presentation, "Water and Dams in Today's World," available at the United States Society on Dams website (also attached): http://ussdams.com/ussdeducation/resources.html#top

Show students an animation of the hydrologic cycle at the United States Society on Dams website: http://www.pbs.org/wgbh/buildingbig/dam/basics.html

See a slide show of dams in the Pacific Northwest region at the US Bureau of Reclamation's website: http://www.usbr.gov/pn/gallery/slideshow.html

See information, slides and video of the Teton Dam Failure (1 minute, 12 seconds) at University of California's Department of Geological Sciences website: http://www.geol.ucsb.edu/faculty/sylvester/Teton_Dam/welcome_dam.html or on YouTube: http://www.youtube.com/watch?v=KEdM6Ys6spA

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References

Building Big: Dam Basics. WGBH Educational Foundation. Accessed July 8, 2009. (Good description and photos of four dam types) http://www.pbs.org/wgbh/buildingbig/dam/basics.html

Kagen, S. Cooperative Learning. San Juan Capistrano, CA: Kagan Cooperative Learning, 1994. (Source for Concept Juggle assessment activity.)

Link, Paul Karl and Phoenix, Chilton E. The Teton Dam Disaster. June 5, 1976. 1996. Rocks, Rails & Trails, Second Edition, pg. 73. The Digital Atlas of Idaho Project. Accessed July 8, 2009. http://imnh.isu.edu/digitalatlas/geog/rrt/RRTfr.htm

Link, Paul Karl and Phoenix, Chilton E. The Teton Dam Disaster. June 5, 1976. 1996. Rocks, Rails & Trails, Second Edition, pg. 73. The Digital Atlas of Idaho Project. Accessed July 8, 2009. http://imnh.isu.edu/digitalatlas/geog/rrt/part3/chp8/73.htm

Theodore Roosevelt Dam. Wikipedia, The Free Encyclopedia. Updated June 12, 2009. Accessed July 8, 2009. http://en.wikipedia.org/wiki/Roosevelt_Dam

United States Society on Dams, Denver, CO. Accessed July 25, 2009. http://ussdams.com/ussdeducation/index.html

Copyright

© 2008 by Regents of the University of Colorado.

Contributors

Sara Born; Kristin Field; Denali Lander; Lauren Cooper; Denise W. Carlson

Supporting Program

Integrated Teaching and Learning Program, College of Engineering, University of Colorado Boulder

Acknowledgements

The contents of this digital library curriculum were developed under a grant from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education and National Science Foundation GK-12 grant no. 0338326. However, these contents do not necessarily represent the policies of the Department of Education or National Science Foundation, and you should not assume endorsement by the federal government.

Last modified: July 2, 2019

Hands-on Activity Dam Forces

Quick Look

Grade Level: 5 (4-6)

Time Required: 30 minutes

Expendable Cost/Group: US $5.00

Group Size: 4

Activity Dependency: None

Photo shows a triangular wedge of red clay.
Clay model of a gravity dam.

Summary

Students learn how the force of water helps determine the size and shape of dams. They use clay to build models of four types of dams, and observe the force of the water against each type. They conclude by deciding which type of dam they, as Splash Engineering engineers, will design for Thirsty County.

Engineering Connection

Every dam is a unique structure, and provides engineers with the opportunity for much creativity. In designing a dam, engineers consider the specific existing environmental conditions, the forces expected to act upon the dam, and the suitability of different dam design types. Their completed designs must fulfill each community's particular requirements.

Learning Objectives

After this activity, students should be able to:

  • Understand the concept of a force.
  • Understand that water acts as a force on a dam and that the dam must respond with an equal force to hold back the water.
  • Name four different types of dams.
  • List some advantages and disadvantages of the different types of dams.

Materials List

Each group needs:

  • water, 2 gallons (7.6 liters)
  • 1 large waterproof bin, to catch any spilled water
  • 4 small disposable plastic containers (available at grocery stores, or cut bottoms off milk jugs/ juice cartons, or use very thin Tupperware containers from a thrift store)
  • scissors and/or hacksaw, for cutting plastic containers
  • Four Types of Dams Worksheet, one per person

Embankment dam materials for each group:

  • course sand, 1 cup (play sand works, but tube sand or sand for concrete works best)
  • plastic wrap, 1 x 12 in (2.5 x 30 cm) strip, for waterproofing; foil or paper also work
  • 1 tsp (5 ml) modeling clay, for the spillway

Gravity dam materials for each group:

  • 10-15 small dominoes, wood or metal blocks (blocks should be close to domino size)
  • 1 tsp (5 ml) modeling clay, for the spillway, to secure blocks, and as grout between blocks; can substitute tape and plastic wrap for clay

Arch dam materials for each group:

  • modeling clay, one large handful

Buttress dam materials for each group:

  • modeling clay, half a handful
  • 5 small (1-3 in, or 2.5-7.6 cm) dowel pieces (or straws or popsicle sticks), for dam support

Worksheets and Attachments

Visit [www.teachengineering.org/curriculum/print/cub_dams_lesson02] to print or download.

Introduction/Motivation

How do engineers decide how large or strong to build a dam? Is the weight of the water pushing against the side of the dam important? Did you know that one cubic foot (0.29 cubic meters) of water weighs 64 pounds (29 kg)? The weight of the water actually determines how strong the dam must be. Water pushes against the side of a dam with a certain amount of force or pressure. The dam wall must push the water back with an equal amount of force, and the dam must redirect the force of the water into the ground and canyon walls without collapsing or moving downstream from the force of the water. How does a dam exert force on water? The dam must be strong and sturdy and have strong connections to the ground, in the form of foundations, to help it stand.

By researching the size and direction of all the forces acting on a dam, engineers design a structure that is able to resist all these forces. The principle force acting on a dam is the weight of the water behind the dam. Other forces include the weight of the dam itself and in some cases wave pressure and earthquake forces.

When we make engineering drawings of a dam, we indicate the direction of a force by drawing an arrow (draw an example on the board). Today, you will fill out a worksheet to show forces on the different types of dams — just like engineers do.

Let's talk about four of the most common dam types:

  • The most commonly-built type of dam in the U.S. is an embankment dam made of earth (also known as an earthen dam) and/or rock, which are readily-available and inexpensive materials. Its heavy weight and large size create the force to push back against the force of the water.
    Photo shows water spilling over the top of a wide, straight concrete dam.
    Folsom Dam, a gravity dam in Sacramento County, CA.
    copyright
    Copyright © US Bureau of Reclamation http://upload.wikimedia.org/wikipedia/en/2/27/Folsom_dam_usbr.jpg
  • Gravity dams are similar to embankment dams because they also use heavy weight and large size to exert enough force on the water, but gravity dams are made of concrete and considered more secure than embankment dams since concrete holds together well. Because so much concrete is needed to exert the force, gravity dams can be expensive. Gravity dams are often used in situations when extremely large dams are required and when the additional cost (compared to a less-expensive embankment dam) is deemed necessary due to people and property below the dam.
  • An arch dam has a curved shape and is ideal for narrow, rocky locations. The shape of the curve takes advantage of the canyon walls. The curved dam redirects the force of the water into the canyon walls, reducing the need for heavy materials to hold back the water (as is done in gravity dams). This can make arch dams less expensive to build, but more expensive to design.
    Aerial photo shows an arched-shaped dam blocking a river flow.
    Monticello Dam, a concrete arch dam in Napa County, CA.
    copyright
    Copyright © US Bureau of Reclamation http://en.wikipedia.org/wiki/File:Monticello_Dam_from_usbr_gov.gif
  • A buttress dam supports the force of a reservoir through its bracing supports, called buttresses. The supports are designed like beams and, because they are directly in line with the force of water, redirect the force of the water into the stream bed where they are anchored. Buttress dams use less material than gravity dams, making them less expensive to build.
    Four drawings of which three are solid objects of varying shapes; the fourth has a thinner base and three angled perpendicular supports on one side.
    Different types of dams (left to right): arch dam, embankment dam, gravity dam, and a buttress dam.
    copyright
    Copyright © PBS, WGBH, http://www.pbs.org/wgbh/buildingbig/dam/challenge/index.html

If we want to test various types of dams to see how they work when water is present, how would we do that? What engineers do is create and test models. What would a model of a dam look like? (Take suggestions from students.) A model of a dam would be a small scale version of it. By making and testing many small-size versions of dams, you learn from them without the time and expense of making full-size dams. That's what we're going to do today — just like engineers do. Let's get started!

Procedure

Before the Activity

  • Gather materials and make copies of the Four Types of Dams Worksheet.
  • Make four "landscape" tubs by cutting one side off each of the four tubs per team.

With the Students

  1. Hand out the worksheet. Review with the students some details about each type of dam (see the Introduction/Motivation and Vocabulary/Definition sections).
  2. Divide the class into four groups (about 3-4 students per group), and assign each team a type of dam. For larger classes, if needed, assign more than one group the same dam type.
  3. Have each group create a design. This should include: 1) a list of the materials they will receive, 2) a drawing of the tub and their idea for their dam, and 3) dimensions of key features (such as the tub, dam length, dam thicknesses) and 4) all group members must sign the bottom of the design write-up. The teacher should initial when all four steps are complete.
  4. Have each team of students use the materials provided to build their type of dam. Remember the key concepts from each dam!
    Photo shows a wedge of red clay that has replaced one side of a small plastic container, with the container filled with water to show that it holds water.
    Example model gravity dam. It works!
    copyright
    Copyright © Megan Podlogar, ITL Program, University of Colorado at Boulder
  5. For testing, direct students to place their entire model (plastic container and clay) into a waterproof bin so as to catch any leakage.
  6. Have students fill their small containers with water to test its force on their clay dam (see Figure 1). Wait one minute and record your observations. How is it working? Any leaks? Is the dam able to withstand the force of the water?
  7. Have students walk around the room to examine the dams created by other teams.
  8. Have students complete the worksheet.
  9. Conclude by conducting a class discussion, comparing team experiences, and how forces are kept back by the different dam types.

Vocabulary/Definitions

arch dam: A curved dam whose shape directs the force of the water into the canyon walls adjacent to the dam. This type of dam requires less material than any other type of dam and is ideally suited to narrow, rocky locations.

buttress dam: A dam braced by a series of supports, or buttresses, on the downstream side. Most buttress dams are made of reinforced concrete.

dam: A barrier to obstruct the flow of water, especially one made of earth, rock, masonry and/or concrete, built across a stream or river.

embankment dam: A dam made of earth and/or rock, relying upon its heavy weight to resist the force of water. Embankment dams include a waterproof core that prevents water from seeping through it. Embankment dams are the most commonly-built type of dam in the US.

engineer: A person who applies her/his understanding of science and mathematics to creating things for the benefit of humanity and our world.

force: An outside influence that can cause a motion or pressure. For example, to open a door, you exert a force on the door in the direction that you want to open it.

gravity dam: Massive dams that resist the thrust of water entirely by their own weight. Most gravity dams are expensive to build because they require so much concrete.

model: (verb) To simulate, make or construct something to help visualize or learn about something else (a structure, an ecosystem, a process, etc.) that would be difficult or expensive to directly create or experiment on. (noun) A simplified representation of something, sometimes on a smaller scale.

spillway: The route, channel or passageway through which surplus water escapes from a reservoir, so as to not damage the dam. A common spillway type is an overflow — a rounded crest that is somewhat lower than the top of the dam. The overflow allows water to be spilled from the reservoir before the dam overflows.

Assessment

Pre-Activity Assessment

Discussion/Brainstorming: As a class, have students engage in open discussion. Remind them that in brainstorming, no idea or suggestion is "silly." All ideas should be respectfully heard. Take an uncritical position, encourage wild ideas and discourage criticism of ideas. Have students raise their hands to respond. Record their ideas on the board. Ask the students:

  • When engineers design a dam, what determines its size?
  • Say you know how much water the reservoir needs to hold; now how do you determine the size of the dam?

Activity Embedded Assessment

Worksheet: Have students complete the Four Types of Dams Worksheet; review their answers to gauge their mastery of the subject.

Post-Activity Assessment

Voting: Make sure each student has individually chosen which type of dam they want to use for Thirsty County on their worksheets. Take a class vote by having students raise their hands to vote for their type of dam. Declare the majority vote as the winner — the dam type that Splash Engineering will design for Thirsty County. Review with the students the features and advantages of that type of dam. (Note: In a real engineering analysis, environmental conditions and community requirements/limitations would also be considered in the decision on what type of dam to design and construct. Example considerations include the river's geology and terrain, availability/type of dam building materials, and budget.)

Safety Issues

  • Make sure students clean up any spilled water so no one slips.
  • Cutting plastic may be difficult, so be careful when using the scissors. A hacksaw works well for cutting plastic tubs.

Troubleshooting Tips

Before testing with water, have students make sure the plastic walls of the small containers have tight seals into the clay.

Activity Extensions

Have students research a local dam and determine its type. Have them report the physical attributes (height, capacity, type of dam, type of spillway, year constructed, etc.) of the dam, as well as a photograph and/or drawing.

Activity Scaling

  • For lower grades, provide guidance to students drawing force arrows on the worksheets.
  • For upper grades, have each team make a short presentation about their type of dam, including a demonstration using their clay model.
  • For upper grades, have teams include a spillway as part of their clay model.

Additional Multimedia Support

To find more examples of certain dam types, look at the "type" column in Wikipedia's list of Reservoirs and Dams in California at: http://en.wikipedia.org/wiki/List_of_reservoirs_and_dams_in_California

See an extensive description of types of dams and spillways at the Wikipedia "Dam," website at: http://en.wikipedia.org/wiki/Dam

A spillway allows water to bypass a dam when it reaches capacity by draining water from the reservoir. See photos and description of the "glory hole" spillway at Monticello Dam in California at the Fish Chris website; it is the largest funnel-type dam outlet in the world: trophybassonly

Subscribe

Get the inside scoop on all things TeachEngineering such as new site features, curriculum updates, video releases, and more by signing up for our newsletter!
PS: We do not share personal information or emails with anyone.

References

Building Big: Dam Basics. WGBH Educational Foundation. Accessed December 4, 2007. (Good description and photos of four dam types) http://www.pbs.org/wgbh/buildingbig/dam/basics.html

Copyright

© 2008 by Regents of the University of Colorado.

Contributors

Megan Podlogar; Sara Born; Kristin Field; Denali Lander; Lauren Cooper; Timothy M. Dittrich; Denise W. Carlson

Supporting Program

Integrated Teaching and Learning Program and Laboratory, University of Colorado Boulder

Acknowledgements

The contents of this digital library curriculum were developed under a grant from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education and National Science Foundation GK-12 grant no. 0338326. However, these contents do not necessarily represent the policies of the Department of Education or National Science Foundation, and you should not assume endorsement by the federal government.

Last modified: February 25, 2020