KIDS MATH Energy 20Math 20Challenge
Transcript of KIDS MATH Energy 20Math 20Challenge
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Energy Math ChallengeUse this activity to enhance math skills while learning about energy.
Grade Level:
n Elementary
n Intermediate
n Secondary
Subject Areas:
n Science
n Social Studies
n Math
n Language Arts
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Teacher Advisory BoardShelly Baumann, Rockford, MI
Constance Beatty, Kankakee, IL
Sara Brownell, Canyon Country, CA
Amy Constant, Raleigh, NC
Joanne Coons, Clifton Park, NY
Regina Donour, Whitesburg, KY
Darren Fisher, Houston, TX
Deborah Fitton, Cape Light Compact, MA
Linda Fonner, New Martinsville, WV
Melanie Harper, Odessa, TX
Viola Henry, Thaxton, VA
Linda Hutton, Kitty Hawk, NC
Doug Keaton, Russell, KY
Barbara Lazar, Albuquerque, NM
Robert Lazar, Albuquerque, NM
Hallie Mills, Bonney Lake, WA
Mollie Mukhamedov, Port St. Lucie, FL
Don Pruett, Sumner, WA
Larry Richards, Eaton, IN
Barry Scott, Stockton, CA
Joanne Spaziano, Cranston, RI
Gina Spencer, Virginia Beach, VA
Tom Spencer, Chesapeake, VA
Nancy Stanley, Pensacola, FL
Scott Sutherland, Providence, RI
Robin Thacker, Henderson, KYDoris Tomas, Rosenberg, TX
Patricia Underwood, Anchorage, AK
Jim Wilkie, Long Beach, CA
Carolyn Wuest, Pensacola, FL
Debby Yerkes, Ohio Energy Project, OH
Wayne Yonkelowitz, Fayetteville, WV
NEED Mission StatementThe mission of the NEED Project is to promote an energy conscious and educated society by
creating effective networks of students, educators, business, government and community leaders
to design and deliver objective, multi-sided energy education programs.
Teacher Advisory Board Vision StatementIn support of NEED, the national Teacher Advisory Board (TAB) is dedicated to developing
and promoting standards-based energy curriculum and training.
Permission to CopyNEED materials may be reproduced for non-commercial educational purposes.
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Teacher Guide .................................................................. 4
Answer Key ...................................................................... 6
Elementary Math Challenge.............................................. 7
Intermediate Math Challenge ......................................... 11
Secondary Math Challenge ............................................ 15
Evaluation Form ............................................................. 19
TABLE OF CONTENTS
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TO STRENGTHEN STUDENTS MATH SKILLS WHILE REINFORCING THEIR KNOWLEDGE
OF ENERGY.
BACKGROUND
The Energy Math Challenge encourages students to recognize the interrelationship between math, science,language arts, and social studies.
ELEMENTARY: There are four elementary questions for students to answer in groups of three.
INTERMEDIATE & SECONDARY: The questions are organized in rounds. In the first round, students workingtogether in small groups solve four different math problems. The same types of problems are repeated in roundstwo and three. In the fourth round, groups of students solve a Mega-Question that incorporates the four skillstargeted in the first three rounds.
TIME
ELEMENTARY: Each question takes approximately 15 minutes to complete.
INTERMEDIATE & SECONDARY: The first three rounds take eight to ten minutes, and the fourth round takesapproximately 15 to 20 minutes.
MATERIALS
ELEMENTARY:One copy of each question for each group of three students.
INTERMEDIATE & SECONDARY:One set of Round One and Round Two math problems for each group.
One set of Round Three math problems for each student.
One Mega-Question for each group.
PROCEDURE
Step OnePreparation
n There are problems at three grade levels: Elementary (3-5), Intermediate (6-8), and Secondary (9-12).
These levels are identified on the top of the problem sheets. The Elementary problems are numbered Onethrough Four. The Intermediate and Secondary problems are numbered Rounds One through Three andthe MegaQuestions.
ELEMENTARY:
n Divide the class into groups of three students. Each group should have one strong math student.
n Duplicate a set of the four questions for each group.
n Decide what measuring tool you want the students to use in Question Four. Cuisenaire rods are recommendedif available.
Teacher Guide
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INTERMEDIATE & SECONDARY:
n Divide students into small groups.
n Duplicate a set of questions for each group for Rounds One and Two, as well as the Mega-Question.
n Duplicate a set of questions for each student for Round Three.
n For Rounds One and Two, cut each sheet into quarters. Clip together each set of four math problems foRounds One and Two. Provide scrap paper for each group. Decide if you want the students to write theianswers on the math problems or on scrap paper. Decide if you will allow students to use calculators.
Step TwoConduct the Activity
ELEMENTARY:n Place students in groups of three and give them one question at a time, or one question a day for four days
For Question Four, explain the method of measurement before the students begin. Discuss each questionwith the students after completion.
INTERMEDIATE & SECONDARY:n Once students are in their groups, give each group a set of the Round One problems. Begin the activity by
giving the groups the following instructions:
n I have given each group four Energy Math Challenge problems for Round One. Each of the four problemswill require your group to use a different problem solving skill. I will review the math problems with youafter each of the four rounds. Your group will receive 10 points for each problem solved correctly during
Round One. In Round Two, each problem will be worth 15 points, and in Round Three, each problem will beworth 20 points. Groups can receive 100 points in the final round.
n Round One will last 10 minutes. Round Two will last eight minutes, and Round Three will last 10 minutes.
Before we start the third round, I will give your group 10 minutes to review the problems from the first tworounds. During this study session, make sure everyone knows how to do all four types of problems correctly
n In the third round, every student must solve the four problems independently, with no help from his or her
group members. Therefore, it is important that your group works together during Rounds One and Two andduring the study session. The groups average score in the third round will be added to the points earned inthe previous two rounds.
n In the fourth round, you will work as a group to solve a Mega-Question using the math skills you concentrated
on in the first three rounds. Your group will have 15 to 20 minutes to solve the Mega-Question.
n Lets review some energy unit terms before we begin.
Btu One British thermal unit is the heat energy needed to raise the temperature of one pound of water onedegree Fahrenheit. A single Btu is quite small. A wooden kitchen match, if allowed to burn completelywould give off one Btu of energy. Every day, the average American uses 88,900 Btus.
MBtu An MBtu is equal to one million (1,000,000) Btus. The average American family consumes 98 MBtus ofenergy a year.
Quad Quads are used to measure very large quantities of energy. A quad is equal to one quadrillion(1,000,000,000,000,000) Btus. The United States uses about one quad of energy every 3.8 days.
kWh A kilowatt-hour is the amount of electricity used in one hour at a rate of 1,000 watts. Just as we buygasoline in gallons and wood in cords, we buy electricity in kilowatt-hours. Utility companies charge theircustomers for the kilowatt-hours they use during a month.
bkWh A bkWh is one billion (1,000,000,000) kilowatt-hours. The U.S. consumes approximately 3,500 billionkilowatt-hours (bkWh) of electricity a year.
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Elementary Answers
Problem 1: 1. Petroleum 2. 7% 3. 93% 4. 85% 5. 9394%
Problem 2: 1. Feb08 2. Apr08 3. Aug07 4. 200 kWh 5. 5,400 kWh
Problem 3: 1. Compact 2. L- SUV 3. 80 mi 4. 75 mi 5. 4 galBONUS: 200 miles
Problem 4: 1. 3 gal 2. 3 gal 3. 3 gal 4. No, it needs 8 gal 5. 4 gal
BONUS: 6.5 gal
Intermediate AnswersRound One: 1. 56.4 MBtu 2. 1/15
3. 13.87 MBD 4. 19.9%
Round Two: 1. 14.5 quads 2. 1/40
3. 810 liters 4. 2.9%
Round Three: 1. 449.5 barrels 2. 1/20
3. 1.17 or 1 Quad 4. 65%
Mega-Question: The totals for the Today list: Renewable6.8 quads, Nonrenewable93.1 quads, and Total
99.9 quads. The total for the 2030 list is 129.9 quads. There are no right or wrong answers for the 2030 pie chartas long as the numbers add up to 129.9 quads.
Secondary Answers
Round One: 1. 19.9% 2. 83.4 million units
3. 840 units 4. 684 bkWh
Round Two: 1. 44.7 or 45% 2. 6.5 quads
3. 411.8 million 4. 2.9 quads
Round Three: 1. 36% 2. 44.1 MBtu
3. 0.66 bkWh 4. 2.13 or 2 quads
Mega-Question: The total for the 2030 list of sources is 129.9 quads. There are no right or wrong answers for the
2030 pie chart as long as the numbers add up to 100%.
Answer Key
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ELEMENTARY MATH CHALLENGE
PROBLEM ONE
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ELEMENTARY MATH CHALLENGE
PROBLEM TWO
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ELEMENTARY MATH CHALLENGE
PROBLEM THREE
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ELEMENTARY MATH CHALLENGE
PROBLEM FOUR
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1. The average American housing unit uses 45
percent of the total energy it consumes for
heating and cooling rooms. Each month, 4.7
MBtus of energy are used for maintaining
comfortable temperatures in our homes. How
many MBtus of energy does the average housing
unit consume each year for heating and cooling
rooms?
Answer:______________________MBtu
2. Natural gas is often used for heating buildings
and homes. In fact, natural gas heats more than
half of the nations housing units. Reduced to thelowest common denominator, what fraction of the
housing units is heated by propane?
Answer:___________________________
4. What percentage of the nations electricity is
generated by uranium?
Answer:______________________percent
3. The United States consumes more petroleum
than it can produce. Today, the U.S. consumes
20.8 Million Barrels a Day (MBD) of petroleum
only one-third of the petroleum was supplied by
domestic production. To the nearest tenth of an
MBD, how many MBDs are imported from other
nations to supply Americas demand for
petroleum?
Answer:________________________MBD
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2. Renewables provide the nation with about
seven percent of the energy the U.S. consumes.
The use of renewable energy sources to generate
electricity accounts for 70 % of their use. Reduced
to the lowest common denominator, what fraction
of the nations renewables is used for
transportation?
Answer:________________________
1. Hydropower is a renewable source of energy.
Hydropower provided 2.9 % of the 99.87 quads
of energy we consumed in 2006. Energy
experts predict hydropower production will
remain relatively constant during the next five
years. How many total quads of energy will
hydropower provide the nation during the next
five years?
Answer:_____________________quads
4. From the graph, what percentage of total energy
consumption is provided by hydropower?
Answer:_________________________
3. Propane is 270 times more compact in its
liquid state than it is as a gas. This makes
propane a very portable source of heat energy.
How many liters of propane gas would a three
liter pressurized tank hold for your next
camping trip?
Answer:_____________________liters
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2. Coal generates half the nations electricity.
Uranium, hydropower, and natural gas produce
significant amounts, too. Reduced to the lowest
common denominator, what fraction of electricity
is provided by the other energy sources?
Answer:________________________
1. The United States imports two-thirds of its
petroleum from other countries. The average
daily import is 14.5 million barrels. How many
barrels of petroleum would the nation import
during the month of March?
Answer:______________________barrels
4. From the graph, what percentage of the nations
consumption of biomass energy is provided by
wood and wood waste?
Answer:_____________________percent
3. About 6/7 of the energy given off by the
splitting of uranium atoms is due to the motion
of the splitting atoms. The other 1/7 of the
heat energy is a result of the radiation released.
Uranium provides the nation with 8.2 quads of
energy a year. To the nearest quad, how many
quads of energy are the result of the radiation
released by the splitting uranium atoms?
Answer:_______________________quads
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Almost all the energy we use in the United States comes from nonrenewable energy sources. Using the
circle graph below, figure out how many total quads of energy we use today, and how many quads are renewable
and nonrenewable. Write your answers in the spaces below.
By 2030, experts predict that the United States will use 30 percent more energy than we do today. Calculate
how many total quads of energy the United States will use and write it in the space below.
Will we use the same sources to provide that energy or will we use different sources? As a team, discuss
how the energy picture will change by 2030. Fill in the blank circle graph using your teams predictions. The
blank circle graph is 30 percent larger to show you what this increase looks like. How many quads of
renewable energy do you think we will use? How many quads of nonrenewable energy? Add up the figures on
your graph and fill in the total amounts.
MATHchallenge MEGA-QUESTIONINTERMEDIATE
2030 CONSUMPTION
Today
Renewable: quads
Nonrenewable: quads
Total energy use: quads
2030
Renewable: quads
Nonrenewable: quads
Total energy use: quads
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1. The United States consumes about 4,000
billion kilowatt-hours (bkWh) of electricity a
year. Uranium fuels about 796 bkWh of this
electrical power generation. To the nearest
tenth of a percent, calculate the percentage of
the nations electricity that is generated by
uranium in nuclear power plants.
Answer:____________________percent
3. Todays power plants convert about one-third
of the energy stored in fuels into electricity.
During these conversions, most of the energy
is transformed into heat rather than electricity.
A certain electric power plant consumes 360
units of energy every day. How many units of
electricity would the plant actually generate in
a week?
Answer:___________________units
4. The U.S. consumes about 4000 billion kilowatt-
hours (bkWh) of electricity a year. How many billion
kilowatt-hours of electricity does natural gas
provide?
Answer:______________bkWh
2. Approximately 72 % of the nations 115.8 million
housing units are heated by natural gas. To the
nearest million, how many housing units in thenation are heated by natural gas?
Answer:____________________units
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1. The United States consumes about 20.8
million barrels of petroleum a day. Gasoline, the
number one product produced by the refining of
petroleum, consumes 9.3 million barrels of the
petroleum. To the nearest full percent, calculate
the percentage of petroleum that is refined into
gasoline.
Answer:______________________percent
3. A 42 gallon barrel of petroleum is refined
into kerosene, jet fuel, heating oil, and gasoline
(the number one product). About 18.9 of the
42 gallons of petroleum are refined into
gasoline. A tanker containing 920 million
barrels of petroleum has unloaded its cargo at
the refinery. To the nearest million, how many
barrels of petroleum from the tanker will be
refined into gasoline?
Answer:________________________million
4. The U.S. consumes about 99.9 quads of energy
a year. How many quads of energy does hydropower
provide the United States?
Answer: _______________________quads
2. Hydropower, biomass, wind, and solar energy are
all a result of the suns rays striking the earth.
Geothermal energy, which provides approximately
five percent of the nations renewable energy, is
the only renewable source resulting from energy
found below the earths surface. All five renewable
sources of energy provide the nation with about
6.8 quads of energy. To the nearest tenth of a quad,
how many quads of energy are a result of the suns
rays striking the earths surface?
Answer:_______________________quads
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1. To generate electricity, a fossil fuel power
plant consumes 72 units of chemical energy
stored in the fossil fuel. Only 26 units of
electrical energy are actually produced and sent
out over the transmission lines. This loss
occurs because a large amount of the energy
stored in a fossil fuel is changed into thermal
(heat) energy during the generation of electrical
power. To the nearest whole percent, calculate
the efficiency of this power plant at converting
chemical energy into electrical energy.
Answer:_______________________percent
3. When uranium atoms are split, they give off
heat. This heat produces high pressure steam
that turns a turbine in a nuclear power plant.
Each year, the nations 100 nuclear power plants
generate about 796 bkWh of electricity20
percent of total U.S. electricity production. To
the nearest hundredth of a bkWh, how many
bkWh of electricity does the average U.S.
nuclear power plant generate a month?
Answer:________________________ bkWh
4. Biomass provides the nation with 3.28 quads
of energy. How many quads of biomass energy are
provided by wood and wood waste?
Answer:__________________________quads
2. The average American family consumes
approximately 98 Million Btus (MBtus) of energy
a year. Heating and cooling rooms accounts for 45
percent of total household energy use, operating
appliances and lights accounts for 42 percent, and
heating water accounts for 13 percent. To the
nearest MBtu, how many MBtus of energy are
consumed by the average household for heating
and cooling rooms?
Answer:_________________________MBtu
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Energy experts predict the nations total annual energy use will increase by 30 percent by the year 2030.
Which energy sources will provide that additional energy? Will all of them change at the same rate as
consumption, or will some sources increase more, while others remain unchanged? Some sources may evendecline in consumption.
Below is a circle graph showing the contribution each of the energy sources provides the nation today. As a
team, discuss what role each of the sources will play in 2030. After your discussion, complete the blank
2030 circle graph. To show you what 30 percent more looks like, the 2030 blank circle graph is 30 percent
larger than todays circle. Make sure you include your reasons for selecting the number of quads each source
will provide in 2030.
MATHchallenge MEGA-QUESTIONSECONDARY
1. Petroleum 38.76 quads
2. Coal 22.57 quads
3. Natural Gas 21.58 quads
4. Uranium 8.21 quads
5. Biomass 3.28 quads
6. Hydropower 2.89 quads
7. Propane 1.90 quads
8. Other 0.68 quadsTOTAL 99.87 quads
1. Petroleum quads
2. Natural Gas quads
3. Coal quads
4. Uranium quads
5. Biomass quads
6. Hydropower quads
7. Propane quads
8. Other quads
TOTAL quads
2030 CONSUMPTION
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ENERGY MATH CHALLENGE
Evaluation Form
State: ___________ Grade Level: ___________ Number of Students: __________
1. Did you conduct the entire activity? Yes No
2. Were the instructions clear and easy to follow? Yes No
3. Did the activity meet your academic objectives? Yes No
4. Was the activity age appropriate? Yes No
5. Were the allotted times sufficient to conduct the activity? Yes No
6. Was the activity easy to use? Yes No
7. Was the preparation required acceptable for the activity? Yes No
8. Were the students interested and motivated? Yes No
9. Was the energy knowledge content age appropriate? Yes No
10. Would you use the activity again? Yes No
How would you rate the activity overall (excellent, good, fair, poor)?
How would your students rate the activity overall (excellent, good, fair, poor)?
What would make the activity more useful to you?
Other Comments:
Please fax or mail to:
NEED Project
PO Box 10101
Manassas, VA 20108
FAX: 1-800-847-1820
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American Association of Blacks in Energy
American Electric Power
American Electric Power Foundation
American Petroleum Institute
American Solar Energy Society
American Wind Energy Association
Aramco Services Company
Armstrong Energy Corporation
Association of Desk & Derrick Clubs
All Wild About Kentuckys Environment
Robert L. Bayless, Producer, LLC
BP Foundation
BP
BP Alaska
BP Solar
Bureau of Land ManagementU.S. Department of the Interior
C&E Operators
Cape and Islands Self Reliance
Cape Cod Cooperative Extension
Cape Light CompactMassachusetts
L.J. and Wilma Carr
Center for the Advancement of ProcessTechnologyCollege of the MainlandTX
Chesapeake Public SchoolsVA
Chesterfield County Public SchoolsVA
Chevron
Chevron Energy Solutions
City of MelroseMA
Colorado Energy Science Center
ComEdConEd Solutions
ConocoPhillips
CPS Energy
Cypress-Fairbanks Independent SchoolDistrictTX
Dart Foundation
Desk and Derrick of Roswell, NM
Devon Energy
Dominion
Dominion Foundation
Duke Energy Kentucky
Duke Energy IndianaDuke Energy North Carolina
Duke Energy South Carolina
East Kentucky Power
EnCana
Energy Information AdministrationU.S. Department of Energy
Energy Training Solutions
Energy and Mineral Law Foundation
Energy Training Solutions
Equitable Resources
NEED National Sponsors and PartnersFPL Energy EncounterFL
First Roswell Company
Florida Department of EnvironmentalProtection
Foundation for Environmental Education
Robert Gorham
Guam Energy Office
Halliburton Foundation
Gerald Harrington, Geologist
Houston Museum of Natural Science
Hydropower Research Foundation
Illinois Clean Energy Community Foundation
Illinois Department of Commerce andEconomic Opportunity
Independent Petroleum Association ofAmerica
Independent Petroleum Association of NewMexico
Indiana Office of Energy and DefenseDevelopment
Interstate Renewable Energy Council
Iowa Energy Center
Kentucky Clean Fuels Coalition
Kentucky Office of Energy Policy
Kentucky Oil and Gas Association
Kentucky Propane Education and ResearchCouncil
Kentucky River Properties LLC
Keyspan
KidWind
Llano Land and Exploration
Long Island Power AuthorityNY
Maine Energy Education Project
Maine Public Service Company
Marianas Islands Energy Office
Maryland Energy Administration
Massachusetts Division of EnergyResources
Michigan Energy Office
Michigan Oil and Gas Producers EducationFoundation
Minerals Management ServiceU.S. Department of the Interior
Mississippi Development AuthorityEnergy
DivisionMontana Energy Education Council
Narragansett ElectricA National Grid Company
NASA Educator Resource CenterWV
National Alternative Fuels Training CenterWest Virginia University
National Association of State EnergyOfficials
National Association of State Universitiesand Land Grant Colleges
National Hydropower Association
National Renewable Energy Laborato
New Jersey Department of EnvironmeProtection
New York Power Authority
North Carolina Department ofAdministrationState Energy Office
Nebraska Public Power District
New Mexico Oil CorporationNew Mexico Landmans Association
New York State Energy Research anDevelopment Authority
Offshore Energy Center/Ocean StarOEC Society
Offshore Technology Conference
Ohio Energy Project
Pacific Gas and Electric Company
Petroleum Equipment SuppliersAssociation
Poudre School DistrictCO
Puerto Rico Energy Affairs Administrat
Puget Sound Energy
Roswell Desk and Derrick Club
Roswell Geological Society
Rhode Island State Energy Office
Sacramento Municipal Utility Distric
Saudi Aramco
Schlumberger
Sentech, Inc.
Shell Exploration and Production
Snohomish County Public Utility DistriWA
Society of Petroleum Engineers
David Sorenson
Southwest Gas
Spring Branch Independent SchoolDistrictTX
Tennessee Department of Economic aCommunity DevelopmentEnergy Divis
Toyota
TransOptions, Inc.
TXU Energy
University of NevadaLas Vegas, NV
United Illuminating Company
U.S. Environmental Protection Agenc
U.S. Department of Energy
U.S. Department of EnergyHydrogeFuel Cells and Infrastructure Technolog
Virgin Islands Energy Office
Virginia Department of Mines, Mineraand Energy
Virginia Department of Education
Virginia General Assembly
Wake County Public SchoolsNC
Western Kentucky Science Alliance
W. Plack Carr Company