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Real-World<br />

Transparencies and<br />

Masters


Glencoe/McGraw-Hill<br />

Copyright © by the McGraw-Hill Companies, Inc. All rights reserved.<br />

Printed in the United States of America. Permission is granted to reproduce the<br />

blackline masters contained herein on the condition that such material be<br />

reproduced only for classroom use; be provided to students, teacher, and<br />

families without charge; and be used solely in conjunction with Glencoe Algebra 1.<br />

Any other reproduction, for use or sale, is prohibited without prior written<br />

permission of the publisher<br />

Send all inquiries to:<br />

Glencoe/McGraw-Hill<br />

8787 Orion Place<br />

Columbus, OH 43240<br />

Transparency Credit<br />

Photo Credits<br />

1 ©Malcom Fife/PhotoDisc<br />

2 ©Kim Steele/PhotoDisc<br />

3 ©Jeremy Woodhouse/PhotoDisc<br />

4 ©Don Farrall/PhotoDisc<br />

5 ©Ryan McVay/PhotoDisc<br />

6 ©S. Meltzer/PhotoLink/PhotoDisc<br />

7 ©U.S. Savings Bonds, Department of the Treasury<br />

8 ©StockTrek/PhotoDisc<br />

9 ©CORBIS<br />

10 ©Tim Hall/PhotoDisc<br />

11 ©Corbis Images<br />

12 ©ComStock IMAGES<br />

13 ©Digital Vision/PictureQuest<br />

14 ©CORBIS<br />

ISBN: 0-07-827756-6 Algebra 1 Real-World Transparencies<br />

12345678910 080 11100908070605040302


CONTENTS<br />

Guide to Using the Real-World Transparencies and Masters. . . . . . . . iv<br />

Transparency/Title Use with Lesson<br />

1 About the World’s Major Producers and<br />

Consumers of Primary Energy. . . . . . . . . . . . . . . . . . . . . 1-8<br />

2 About Stock Trade. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-3<br />

3 About Population Growth of U.S. Metropolitan Areas. . . . 3-7<br />

4 About Interest on the U.S. Public Debt . . . . . . . . . . . . . . . . 4-6<br />

5 About Comparison Shopping and Phone Rates . . . . . . . . . 5-3<br />

6 About United States Postal Rates . . . . . . . . . . . . . . . . . . . . 6-4<br />

7 About Savings Bonds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-1<br />

8 About Those Massive Planets . . . . . . . . . . . . . . . . . . . . . . . 8-3<br />

9 About Frames and Art . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-6<br />

10 About Per Capita Personal Income . . . . . . . . . . . . . . . . . . 10-6<br />

11 About American Softball . . . . . . . . . . . . . . . . . . . . . . . . . . 11-4<br />

12 About Consumer Price Index . . . . . . . . . . . . . . . . . . . . . . 12-2<br />

13 About Gestation and Longevity of Animals . . . . . . . . . . . 13-4<br />

14 About Games and Probability . . . . . . . . . . . . . . . . . . . . . . 14-5<br />

iii


Guide to Using the<br />

Real-World Transparencies and Masters<br />

The Real-World Transparencies and Masters activities<br />

involve two parts—Student Recording Sheet and Real-<br />

World Transparency. Each Student Recording Sheet has a<br />

reading passage followed by a series of questions that can be<br />

answered from information in the passage and/or on the<br />

accompanying full-color transparency located at the back of<br />

this book. The final questions on each master relate what<br />

the mathematics students are learning to the topic of the<br />

transparency.<br />

Display the transparency on the overhead projector. Give<br />

students a few minutes to comment on what they see or any<br />

patterns they observe from the data presented. Then give<br />

them copies of the Student Recording Sheet to read and<br />

complete.<br />

Sample answers for each master are printed on the back of<br />

the master so that you can keep the master and answer key<br />

together if the master is removed from this book.<br />

When to Use Each of these transparencies has been<br />

correlated to a lesson in Glencoe Algebra 1. You can use<br />

the activity with that lesson or any lesson that follows<br />

the recommended lesson. The activity can be used as an<br />

introduction to the mathematical concept being presented<br />

or as a follow-up activity when time permits.<br />

iv


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 1<br />

Use with Lesson 1-8.<br />

About the World’s Major Producers and Consumers of Primary Energy<br />

Many everyday activities of Americans are extremely energy dependent. For example, think<br />

about a mathematics classroom in an energy sense. Having the lights on consumes electricity.<br />

The air temperature is regulated by heating and cooling systems that directly or indirectly<br />

consume fossil fuels. Pens, pencils, and calculators are manufactured by machines that require<br />

energy to operate. There are many other ways that energy is used directly or indirectly.<br />

The amount of energy a person consumes and the amount of energy that needs to be produced<br />

on an individual’s behalf may be reduced through improved energy efficiency. New, more<br />

efficient light bulbs, appliances, and household products are becoming increasingly available<br />

to consumers. Until technology catches up with energy consumption, however, turning off<br />

unnecessary lights and being more energy conscious are steps in the right direction.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Which countries shown in the graphs consume more energy than they produce?<br />

2. Which countries produce more energy than they consume?<br />

3. In 1999, the United States and Russia combined to produce 30% of the <strong>world</strong>’s energy. How much<br />

energy was produced in the <strong>world</strong> in 1999?<br />

4. In that same year, the United States, China, and Russia consumed 41% of the <strong>world</strong>’s energy. How<br />

much energy was consumed in the <strong>world</strong> in 1999?<br />

Making the Connection<br />

5. Working together with your family members, estimate how much money your family spends each year<br />

on energy.<br />

© Glencoe/McGraw-Hill 1 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 1<br />

Use with Lesson 1-8.<br />

About the World’s Major Producers and Consumers of Primary Energy<br />

Many everyday activities of Americans are extremely energy dependent. For example, think<br />

about a mathematics classroom in an energy sense. Having the lights on consumes electricity.<br />

The air temperature is regulated by heating and cooling systems that directly or indirectly<br />

consume fossil fuels. Pens, pencils, and calculators are manufactured by machines that require<br />

energy to operate. There are many other ways that energy is used directly or indirectly.<br />

The amount of energy a person consumes and the amount of energy that needs to be produced<br />

on an individual’s behalf may be reduced through improved energy efficiency. New, more<br />

efficient light bulbs, appliances, and household products are becoming increasingly available<br />

to consumers. Until technology catches up with energy consumption, however, turning off<br />

unnecessary lights and being more energy conscious are steps in the right direction.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Which countries shown in the graphs consume more energy than they produce? United States,<br />

China, Japan, Germany, India, France, and Brazil consume more energy than they<br />

produce.<br />

2. Which countries produce more energy than they consume? Russia, Saudi Arabia, Canada,<br />

United Kingdom, Iran, Mexico, and Australia produce more energy than they<br />

consume.<br />

3. In 1999, the United States and Russia combined to produce 30% of the <strong>world</strong>’s energy. How much<br />

energy was produced in the <strong>world</strong> in 1999? In 1999, 379.4 quadrillion Btu of energy were<br />

produced.<br />

4. In that same year, the United States, China, and Russia consumed 41% of the <strong>world</strong>’s energy. How<br />

much energy was consumed in the <strong>world</strong> in 1999? In 1999, 377.9 quadrillion Btu were<br />

consumed.<br />

Making the Connection<br />

5. Working together with your family members, estimate how much money your family spends each year<br />

on energy. See students’ work.<br />

© Glencoe/McGraw-Hill T1 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 2<br />

Use with Lesson 2-3.<br />

About Stock Trade<br />

Stock exchanges, organizations that assist investors with the buying and selling of stocks and<br />

bonds, can be found in many cities around the <strong>world</strong>. The New York Stock Exchange is the<br />

largest of the twelve stock exchanges in the United States. Trades may be made on the “floor” of<br />

a stock exchange only by a stockbroker, a member of the stock exchange. Individual investors<br />

must place orders to buy and sell through a brokerage firm that is affiliated with a member.<br />

Technology is changing how investors buy and sell stocks and bonds. In 1999, computers<br />

opened the door for trading to occur 24 hours a day. The volumes of shares traded using<br />

computers and telecommunication technology are exceeding the share volumes of stock<br />

exchanges, such as the New York Stock Exchange.<br />

The financial section of a newspaper lists the price of a share of stock and its price change from<br />

the previous trading day. In 2001, the stock market changed the method of reporting; prior to<br />

2001, stocks were reported using fractions. Transparency 2 shows the top stocks, by number of<br />

shares, traded on the New York Stock Exchange, for September 4, 2001.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. What was the closing value of the shares of General Electric Co. that were traded?<br />

2. Which stock showed the greatest price increase? Explain why.<br />

3. What was the previous day’s closing price per share for EMC Corp.?<br />

4. If an investor had purchased 100 shares of General Electric Co. at $45.00 a share and sold those<br />

shares at the September 4 2001 closing price, how much would the investor have gained or lost in<br />

this investment?<br />

Making the Connection<br />

5. Consult a newspaper to find the current price per share of one or more of the stocks shown in<br />

Transparency 2. Describe the change since September 4, 2001.<br />

6. Besides stock, what other investment products are monitored in the business sections of newspapers?<br />

© Glencoe/McGraw-Hill 2 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 2<br />

Use with Lesson 2-3.<br />

About Stock Trade<br />

Stock exchanges, organizations that assist investors with the buying and selling of stocks and<br />

bonds, can be found in many cities around the <strong>world</strong>. The New York Stock Exchange is the<br />

largest of the twelve stock exchanges in the United States. Trades may be made on the “floor” of<br />

a stock exchange only by a stockbroker, a member of the stock exchange. Individual investors<br />

must place orders to buy and sell through a brokerage firm that is affiliated with a member.<br />

Technology is changing how investors buy and sell stocks and bonds. In 1999, computers<br />

opened the door for trading to occur 24 hours a day. The volumes of shares traded using<br />

computers and telecommunication technology are exceeding the share volumes of stock<br />

exchanges, such as the New York Stock Exchange.<br />

The financial section of a newspaper lists the price of a share of stock and its price change from<br />

the previous trading day. In 2001, the stock market changed the method of reporting; prior to<br />

2001, stocks were reported using fractions. Transparency 2 shows the top stocks, by number of<br />

shares, traded on the New York Stock Exchange, for September 4, 2001.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. What was the closing value of the shares of General Electric Co. that were traded?<br />

2. Which stock showed the greatest price increase? Explain why.<br />

Johnson & Johnson stock increased by $3.44.<br />

3. What was the previous day’s closing price per share for EMC Corp.?<br />

$40.83<br />

Johnson & Johnson; the<br />

$15.46<br />

4. If an investor had purchased 100 shares of General Electric Co. at $45.00 a share and sold those<br />

shares at the September 4 2001 closing price, how much would the investor have gained or lost in<br />

this investment? The investor would have lost $417.<br />

Making the Connection<br />

5. Consult a newspaper to find the current price per share of one or more of the stocks shown in<br />

Transparency 2. Describe the change since September 4, 2001. See students’ work.<br />

6. Besides stock, what other investment products are monitored in the business sections of newspapers?<br />

See students’ work.<br />

© Glencoe/McGraw-Hill T2 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 3<br />

Use with Lesson 3-7.<br />

About Population Growth of U.S. Metropolitan Areas<br />

Census 2000 showed that the population in the United States increased by 13.2% from the<br />

1990 figures. This is the largest census-to-census increase in American history. Every state<br />

showed an increase in population, with Nevada showing the highest percent increase, 66.3%. In<br />

2000, metropolitan areas were home to about 80% of Americans, an increase of 14% from the<br />

last census.<br />

The graph shows both the population figures and the percent increase in population for the six<br />

largest metropolitan areas in the United States. Notice that some metropolitan areas extend<br />

across state lines while others fall within state boundaries.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. In 1990, the population of the Los Angeles metropolitan area was almost 14.5 million people.<br />

What was the increase in population in the Los Angeles metropolitan area between 1990 and 2000?<br />

2. If the same rate of growth that occurred between 1990 and 2000 continues, what will be the<br />

population of the Washington-Baltimore area in 2010?<br />

3. How is it possible that the San Francisco and Philadelphia areas have about the same population, but<br />

have a different percent increase in population?<br />

4. The Dallas-Fort Worth area had an increase in population from 4.0 million to 5.2 million between<br />

the 1990 and the 2000 census. What percent increase in population did the area have?<br />

Making the Connection<br />

5. Look up the results of the 2000 census for the state and county where you live. Write a summary of<br />

the changes that occurred between the 1990 and 2000 census. What are some things that may be<br />

affected by the change in census figures for your state and county?<br />

© Glencoe/McGraw-Hill 3 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 3<br />

Use with Lesson 3-7.<br />

About Population Growth of U.S. Metropolitan Areas<br />

Census 2000 showed that the population in the United States increased by 13.2% from the<br />

1990 figures. This is the largest census-to-census increase in American history. Every state<br />

showed an increase in population, with Nevada showing the highest percent increase, 66.3%. In<br />

2000, metropolitan areas were home to about 80% of Americans, an increase of 14% from the<br />

last census.<br />

The graph shows both the population figures and the percent increase in population for the six<br />

largest metropolitan areas in the United States. Notice that some metropolitan areas extend<br />

across state lines while others fall within state boundaries.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. In 1990, the population of the Los Angeles metropolitan area was almost 14.5 million people.<br />

What was the increase in population in the Los Angeles metropolitan area between 1990 and 2000?<br />

1.9 million people<br />

2. If the same rate of growth that occurred between 1990 and 2000 continues, what will be the<br />

population of the Washington-Baltimore area in 2010? 8,595,600 people<br />

3. How is it possible that the San Francisco and Philadelphia areas have about the same population, but<br />

have a different percent increase in population? The percent increase is the ratio of the<br />

increase in population to the original population figure. The ratios for San Francisco<br />

and Philadelphia may be different even though the new population figures are similar.<br />

4. The Dallas-Fort Worth area had an increase in population from 4.0 million to 5.2 million between<br />

the 1990 and the 2000 census. What percent increase in population did the area have?<br />

30% increase in population<br />

Making the Connection<br />

5. Look up the results of the 2000 census for the state and county where you live. Write a summary of<br />

the changes that occurred between the 1990 and 2000 census. What are some things that may be<br />

affected by the change in census figures for your state and county? See students’ work.<br />

© Glencoe/McGraw-Hill T3 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 4<br />

Use with Lesson 4-6.<br />

About Interest on the U.S. Public Debt<br />

The government of the United States gets the money to pay its bills by collecting taxes. But<br />

when the country spends more money than it collects in taxes, the government must borrow the<br />

difference to pay its bills. Public debt is like an IOU. This debt scenario is often referred to as<br />

“being in the red” or “red ink.”<br />

As with other kinds of debt, the public debt of the United States accrues interest over the course<br />

of time. The government, and ultimately the taxpayer, is responsible for paying this interest. As<br />

the amount the government borrows increases, the amount of interest increases. Conversely,<br />

when the debt decreases, so does the amount of interest.<br />

The economy is an intricate system affected by many variables, all of them interconnected. Debt<br />

and interest are only two of these variables. The government regulates these and other factors to<br />

maintain a stable economy.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. On a separate sheet of paper, graph the data using a line graph displaying x- and y-axes.<br />

2. Determine the domain, range, and inverse of the graphed relation.<br />

3. Is the graph of these data a linear relation? Why or why not?<br />

4. Is the graph of these data a function? Explain.<br />

Making the Connection<br />

5. If interest on the 2000 public debt of the United States were divided equally among the<br />

281,000,000 people in the United States, what portion would belong to you? Round your answer to<br />

the nearest 100 dollars.<br />

© Glencoe/McGraw-Hill 4 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 4<br />

Use with Lesson 4-6.<br />

About Interest on the U.S. Public Debt<br />

The government of the United States gets the money to pay its bills by collecting taxes. But<br />

when the country spends more money than it collects in taxes, the government must borrow the<br />

difference to pay its bills. Public debt is like an IOU. This debt scenario is often referred to as<br />

“being in the red” or “red ink.”<br />

As with other kinds of debt, the public debt of the United States accrues interest over the course<br />

of time. The government, and ultimately the taxpayer, is responsible for paying this interest. As<br />

the amount the government borrows increases, the amount of interest increases. Conversely,<br />

when the debt decreases, so does the amount of interest.<br />

The economy is an intricate system affected by many variables, all of them interconnected. Debt<br />

and interest are only two of these variables. The government regulates these and other factors to<br />

maintain a stable economy.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. On a separate sheet of paper, graph the data using a line graph displaying x- and y-axes.<br />

See students’ work.<br />

2. Determine the domain, range, and inverse of the graphed relation. The fiscal years comprise<br />

the domain; the interest payments comprise the range. The fiscal years comprise<br />

the range of the inverse; the interest payments comprise the domain of the inverse.<br />

3. Is the graph of these data a linear relation? Why or why not?<br />

on one line.<br />

No; the graphed data do not lie<br />

4. Is the graph of these data a function? Explain. Yes, for each element of the domain, there is<br />

exactly one corresponding element in the range.<br />

Making the Connection<br />

5. If interest on the 2000 public debt of the United States were divided equally among the<br />

281,000,000 people in the United States, what portion would belong to you? Round your answer to<br />

the nearest 100 dollars. $1300<br />

© Glencoe/McGraw-Hill T4 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 5<br />

Use with Lesson 5-3.<br />

About Comparison Shopping and Phone Rates<br />

At one time, phone companies were monopolies. Only one phone company could be in any one<br />

geographic area, and that company controlled all telephone business within its area. A phone<br />

company could design its own services and determine its own fees. The government has since<br />

dissolved these monopolies. New phone companies have emerged, offering different services and<br />

different fees for these services. In addition, advanced technology has made cellular and digital<br />

phone service possible. Many phone companies provide these cellular, digital, and traditional<br />

phone services.<br />

As competition increased among the phone companies, phone rates became a major selling<br />

point. Instead of a set monthly fee for calls, some phone companies began charging a small fee,<br />

or toll, per local call. The options available to consumers are now quite varied, and telephone<br />

customers must consider which phone company, type of service, and billing rate are best for their<br />

needs.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Estimate the y-intercept of the line on the graph representing phone calls from a home.<br />

2. Compute the slope of the line representing phone calls from a home.<br />

3. If the horizontal segment on the graph of the cost of business calls were ignored, what would be the<br />

y-intercept of the line?<br />

4. If the horizontal segment of the graph of the cost of business calls were ignored, what would be the<br />

slope of the line?<br />

5. About how long does a business call have to be for the cost to be about the same as a call made from<br />

a home?<br />

Making the Connection<br />

6. How do these phone rates compare to local service in your community?<br />

7. When considering two competing phone services, what criteria would you use in selecting one<br />

company over another.<br />

© Glencoe/McGraw-Hill 5 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 5<br />

Use with Lesson 5-3.<br />

About Comparison Shopping and Phone Rates<br />

At one time, phone companies were monopolies. Only one phone company could be in any one<br />

geographic area, and that company controlled all telephone business within its area. A phone<br />

company could design its own services and determine its own fees. The government has since<br />

dissolved these monopolies. New phone companies have emerged, offering different services and<br />

different fees for these services. In addition, advanced technology has made cellular and digital<br />

phone service possible. Many phone companies provide these cellular, digital, and traditional<br />

phone services.<br />

As competition increased among the phone companies, phone rates became a major selling<br />

point. Instead of a set monthly fee for calls, some phone companies began charging a small fee,<br />

or toll, per local call. The options available to consumers are now quite varied, and telephone<br />

customers must consider which phone company, type of service, and billing rate are best for their<br />

needs.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Estimate the y-intercept of the line on the graph representing phone calls from a home.<br />

2. Compute the slope of the line representing phone calls from a home.<br />

3. If the horizontal segment on the graph of the cost of business calls were ignored, what would be the<br />

y-intercept of the line? The y -intercept would be 2.5.<br />

4. If the horizontal segment of the graph of the cost of business calls were ignored, what would be the<br />

slope of the line? The slope would be 3<br />

2 .<br />

5. About how long does a business call have to be for the cost to be about the same as a call made from<br />

a home? The costs are the same for calls lasting about 1.75 minutes.<br />

Making the Connection<br />

6. How do these phone rates compare to local service in your community?<br />

7. When considering two competing phone services, what criteria would you use in selecting one<br />

company over another. Answers will vary.<br />

© Glencoe/McGraw-Hill T5 Glencoe Algebra 1<br />

0<br />

5.2<br />

Answers will vary.


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 6<br />

Use with Lesson 6-4.<br />

About United States Postal Rates<br />

“Neither snow, nor rain, nor heat, nor gloom of night stays these couriers from the swift<br />

completion of their appointed rounds.” This phrase, inscribed on the New York City Post<br />

Office, is adapted from the writing of the Greek historian Herodotus. He was describing<br />

the messenger service used by the king of Persia in about 430 B.C.<br />

Today, to assure that mail service is secure and regular, the U.S. Postal Service has a monopoly<br />

on delivery of first-class mail. Private enterprises may compete for delivery of other classes of<br />

mail.<br />

Postal rates are recommended by a five-member postal rate commission appointed by the<br />

president of the United States. These rates must be approved by the 11-member board of<br />

governors that oversees the U.S. Postal Service.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. How much will it cost to mail three letters, each weighing less than an ounce, and a fourth letter<br />

weighing 2 ounces?<br />

2. Write a compound inequality showing the possible weights for a Priority Mail package that costs<br />

$6.45 in postage.<br />

3. Suppose you want to mail a first-class letter weighing 3 ounces and a book weighing 3.5 pounds. You<br />

have $3. Do you have enough money? Explain.<br />

4. Suppose you want to mail a collection of your poems that weighs 2.75 ounces. Can you mail your<br />

collection to 52 of your friends and relatives if you have budgeted $40 for postage? Tell why or<br />

why not.<br />

Making the Connection<br />

5. How does the cost of mailing a first-class letter in the United States compare with the cost of mailing<br />

the same letter in other countries? Prepare a chart of facts comparing the postal service in the United<br />

States to the service in other countries.<br />

© Glencoe/McGraw-Hill 6 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 6<br />

Use with Lesson 6-4.<br />

About United States Postal Rates<br />

“Neither snow, nor rain, nor heat, nor gloom of night stays these couriers from the swift<br />

completion of their appointed rounds.” This phrase, inscribed on the New York City Post<br />

Office, is adapted from the writing of the Greek historian Herodotus. He was describing<br />

the messenger service used by the king of Persia in about 430 B.C.<br />

Today, to assure that mail service is secure and regular, the U.S. Postal Service has a monopoly<br />

on delivery of first-class mail. Private enterprises may compete for delivery of other classes of<br />

mail.<br />

Postal rates are recommended by a five-member postal rate commission appointed by the<br />

president of the United States. These rates must be approved by the 11-member board of<br />

governors that oversees the U.S. Postal Service.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. How much will it cost to mail three letters, each weighing less than an ounce, and a fourth letter<br />

weighing 2 ounces? $1.59<br />

2. Write a compound inequality showing the possible weights for a Priority Mail package that costs<br />

$6.45 in postage. 3 pounds x 4 pounds<br />

3. Suppose you want to mail a first-class letter weighing 3 ounces and a book weighing 3.5 pounds. You<br />

have $3. Do you have enough money? Explain. No; the cost will be ($0.34 (2 $0.23) <br />

$1.33 (3 $0.45)) or $3.48.<br />

4. Suppose you want to mail a collection of your poems that weighs 2.75 ounces. Can you mail your<br />

collection to 52 of your friends and relatives if you have budgeted $40 for postage? Tell why or<br />

why not. You can mail at most 50 collections of poems for $40 because each one<br />

will cost $0.80.<br />

Making the Connection<br />

5. How does the cost of mailing a first-class letter in the United States compare with the cost of mailing<br />

the same letter in other countries? Prepare a chart of facts comparing the postal service in the United<br />

States to the service in other countries. See students’ work.<br />

© Glencoe/McGraw-Hill T6 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 7<br />

Use with Lesson 7-1.<br />

About Savings Bonds<br />

Often people <strong>real</strong>ize that they should save money, but do not have a plan in place to accomplish<br />

their savings goal. One way that the government can help with a personal savings plan is by<br />

offering savings bonds to its citizens. The newest type of savings bond offered to citizens is the<br />

Series I Bond.<br />

When a savings bond is purchased, the government has an obligation to redeem the bond for its<br />

face value plus the interest that accrues over time. This new bond is designed to be held for up<br />

to 30 years, although it can be redeemed at any time. The interest rate paid by the government<br />

on the Series I Bonds is a composite of a fixed rate and an adjustment for inflation.<br />

Because the bonds come in denominations ranging from $50 to $10,000, they suit many budgets.<br />

The bonds feature images of eight famous Americans, a different one for each denomination.<br />

The federal tax on the interest earned by bonds is not paid until the bonds are redeemed. As<br />

an added bonus, this interest could be tax-free if used for college tuition.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. What information is shown in the table?<br />

2. The difference between the composite rate and the fixed rate for a bond is the adjustment for<br />

inflation. Which time period had the smallest amount added for inflation?<br />

3. Using the formula I PRT, estimate the interest earned on a $100 bond purchased in November,<br />

2000, and held for 20 years.<br />

4. Use the equation y 50 (0.0623)(x)50 to estimate the total value of a $50 bond bought in<br />

January 1999. Use the equation y 50 (0.0633)(x 1)50 to estimate the total value of a $50<br />

bond bought in January 2000. Will the value of the bond bought in 2000 be greater than the value<br />

of the bond bought in 1999 if both bonds are held until January 2004?<br />

Making the Connection<br />

5. Research the history of the United States savings bonds program. What has the government used the<br />

money for during different times in the 20th century?<br />

© Glencoe/McGraw-Hill 7 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 7<br />

Use with Lesson 7-1.<br />

About Savings Bonds<br />

Often people <strong>real</strong>ize that they should save money, but do not have a plan in place to accomplish<br />

their savings goal. One way that the government can help with a personal savings plan is by<br />

offering savings bonds to its citizens. The newest type of savings bond offered to citizens is the<br />

Series I Bond.<br />

When a savings bond is purchased, the government has an obligation to redeem the bond for its<br />

face value plus the interest that accrues over time. This new bond is designed to be held for up<br />

to 30 years, although it can be redeemed at any time. The interest rate paid by the government<br />

on the Series I Bonds is a composite of a fixed rate and an adjustment for inflation.<br />

Because the bonds come in denominations ranging from $50 to $10,000, they suit many budgets.<br />

The bonds feature images of eight famous Americans, a different one for each denomination.<br />

The federal tax on the interest earned by bonds is not paid until the bonds are redeemed. As<br />

an added bonus, this interest could be tax-free if used for college tuition.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. What information is shown in the table? The table contains information about the fixed<br />

rate and the composite rate for the bonds sold in six different interest periods.<br />

2. The difference between the composite rate and the fixed rate for a bond is the adjustment for<br />

inflation. Which time period had the smallest amount added for inflation? The smallest<br />

adjustment was for May 2001 – October 2001, 2.92%.<br />

3. Using the formula I PRT, estimate the interest earned on a $100 bond purchased in November,<br />

2000, and held for 20 years. The interest earned would be about $127.<br />

4. Use the equation y 50 (0.0623)(x)50 to estimate the total value of a $50 bond bought in<br />

January 1999. Use the equation y 50 (0.0633)(x 1)50 to estimate the total value of a $50<br />

bond bought in January 2000. Will the value of the bond bought in 2000 be greater than the value<br />

of the bond bought in 1999 if both bonds are held until January 2004? No<br />

Making the Connection<br />

5. Research the history of the United States savings bonds program. What has the government used the<br />

money for during different times in the 20th century? See students’ work.<br />

© Glencoe/McGraw-Hill T7 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 8<br />

Use with Lesson 8-3.<br />

About Those Massive Planets<br />

Our Sun and the nine planets in our solar system may have been formed about 5 billion years<br />

ago. The first four planets from the Sun—Mercury, Venus, Earth, and Mars—are called the<br />

terrestrial planets. These planets all have magnetic fields, solid surfaces, and are comparatively<br />

dense. The five outer planets—Jupiter, Saturn, Uranus, Neptune, and Pluto—are spheres of<br />

hydrogen and other gases. Four of these planets—Jupiter, Saturn, Uranus, and Neptune—called<br />

the gas giants, are much larger than the terrestrial planets. Pluto, the most distant planet, is a<br />

ball of frozen gases. Pluto is also the smallest planet; it is about the size of our Moon.<br />

People began studying the planets thousands of years ago. Until Galileo built his own telescope<br />

in 1609, characteristics such as the rings of Saturn or Jupiter’s moons were unknown. Improved<br />

technology has made study of the planets much easier. However, many questions about planets<br />

and their environments remain unanswered.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. What is the relationship between the mass of Mars and the mass of Earth?<br />

2. Select two planets whose masses are written using the same exponent. Compute the difference in the<br />

masses of the two planets.<br />

3. Which planet has the greatest mass? What is the mass of that planet relative to that of Earth?<br />

4. The mass of the Sun is 1,828,800,000,000,000,000,000,000,000,000 kilograms. How many times<br />

greater than the mass of Earth is the mass of the Sun?<br />

Making the Connection<br />

5. Compare the mass of Jupiter to the total of the masses of the other planets.<br />

6. What does its density tell about a planet? What types of units are used to express density? Use a<br />

reference to find the densities of the planets. How do the densities of the terrestrial planets compare<br />

to the densities of the gas giants?<br />

© Glencoe/McGraw-Hill 8 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 8<br />

Use with Lesson 8-3.<br />

About Those Massive Planets<br />

Our Sun and the nine planets in our solar system may have been formed about 5 billion years<br />

ago. The first four planets from the Sun—Mercury, Venus, Earth, and Mars—are called the<br />

terrestrial planets. These planets all have magnetic fields, solid surfaces, and are comparatively<br />

dense. The five outer planets—Jupiter, Saturn, Uranus, Neptune, and Pluto—are spheres of<br />

hydrogen and other gases. Four of these planets—Jupiter, Saturn, Uranus, and Neptune—called<br />

the gas giants, are much larger than the terrestrial planets. Pluto, the most distant planet, is a<br />

ball of frozen gases. Pluto is also the smallest planet; it is about the size of our Moon.<br />

People began studying the planets thousands of years ago. Until Galileo built his own telescope<br />

in 1609, characteristics such as the rings of Saturn or Jupiter’s moons were unknown. Improved<br />

technology has made study of the planets much easier. However, many questions about planets<br />

and their environments remain unanswered.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. What is the relationship between the mass of Mars and the mass of Earth?<br />

about 0.1 of the mass of Earth.<br />

The mass of Mars is<br />

2. Select two planets whose masses are written using the same exponent. Compute the difference in the<br />

masses of the two planets. Sample answer: The difference between the masses of Earth<br />

and Venus is 1.11 1024 kilograms.<br />

3. Which planet has the greatest mass? What is the mass of that planet relative to that of Earth?<br />

Jupiter; the mass of Jupiter is about 300 times the mass of Earth.<br />

4. The mass of the Sun is 1,828,800,000,000,000,000,000,000,000,000 kilograms. How many times<br />

greater than the mass of Earth is the mass of the Sun? The mass of the Sun is about 3 106 times greater than the mass of the Earth.<br />

Making the Connection<br />

5. Compare the mass of Jupiter to the total of the masses of the other planets.<br />

about 2.5 times the sum of the masses of the other planets.<br />

Jupiter’s mass is<br />

6. What does its density tell about a planet? What types of units are used to express density? Use a<br />

reference to find the densities of the planets. How do the densities of the terrestrial planets compare<br />

to the densities of the gas giants? A planet’s density is its mass per unit volume.<br />

Densities in ounces per cubic inch are: Mercury, 3.13; Venus, 3.03; Earth 3.19;<br />

Mars, 2.27; Jupiter, 0.759; Saturn, 0.40; Uranus, 0.7; Neptune, 1.0; Pluto, 0.2.<br />

Terrestrial planets have greater densities.<br />

© Glencoe/McGraw-Hill T8 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 9<br />

Use with Lesson 9-6.<br />

About Frames and Art<br />

The best way to preserve a work of art is to frame it properly. As the artist Edgar Degas said,<br />

“The frame is the reward for the artist.” The style of the frame for a picture or portrait not only<br />

preserves the work of art, but also accentuates its beauty and value. The large portraits done in<br />

oil during the 18th and 19th centuries typically had ornate, gilded frames. The same style of<br />

frame was also used during the Impressionist period in the late 1800s.<br />

Oil and acrylic paintings are simply framed without any glass or matting so that the canvas they<br />

are painted on can breath. Other artwork including drawings, sketches, and photographs are<br />

often framed with mats and glass. The size of the frame is the dimensions of the frame on the art<br />

and matting, not the length or width of the frame itself. Frames and mats are produced in a variety<br />

of sizes, styles, and colors and are combined to enhance the beauty of the piece of art they<br />

“frame.”<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. If you have selected a frame from the list so that you may display a photograph with an area of 320<br />

square inches, what are the dimensions of the frame?<br />

2. If a mat with dimensions 9 by 12 is used with a picture that is 6 by 9, what is the total area taken<br />

up by the mat? Explain your answer.<br />

3. Degas’ The Dance Class measures 65 by 81 centimeters. If you frame it with a mat of width m<br />

centimeters all around it, write an expression for the total area of the framed space.<br />

4. A common framing practice is to make a mat with 2 inches between the artwork and the frame on<br />

each side. If the total area of a square frame is 225 square inches, what is the display area of the<br />

artwork?<br />

Making the Connection<br />

5. Conduct research to find the sizes of various works by a famous artist. Find the perimeter and area of<br />

the works you researched.<br />

© Glencoe/McGraw-Hill 9 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 9<br />

Use with Lesson 9-6.<br />

About Frames and Art<br />

The best way to preserve a work of art is to frame it properly. As the artist Edgar Degas said,<br />

“The frame is the reward for the artist.” The style of the frame for a picture or portrait not only<br />

preserves the work of art, but also accentuates its beauty and value. The large portraits done in<br />

oil during the 18th and 19th centuries typically had ornate, gilded frames. The same style of<br />

frame was also used during the Impressionist period in the late 1800s.<br />

Oil and acrylic paintings are simply framed without any glass or matting so that the canvas they<br />

are painted on can breath. Other artwork including drawings, sketches, and photographs are<br />

often framed with mats and glass. The size of the frame is the dimensions of the frame on the art<br />

and matting, not the length or width of the frame itself. Frames and mats are produced in a variety<br />

of sizes, styles, and colors and are combined to enhance the beauty of the piece of art they<br />

“frame.”<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. If you have selected a frame from the list so that you may display a photograph with an area of 320<br />

square inches, what are the dimensions of the frame? 16 inches by 20 inches<br />

2. If a mat with dimensions 9 by 12 is used with a picture that is 6 by 9, what is the total area taken<br />

up by the mat? Explain your answer. Subtract the area of the picture from the total area;<br />

108 in2 54 in2 54 in2 .<br />

3. Degas’ The Dance Class measures 65 by 81 centimeters. If you frame it with a mat of width m<br />

centimeters all around it, write an expression for the total area of the framed space.<br />

(65 2m)(81 2m) or 5265 292m 4m 2 cm2 4. A common framing practice is to make a mat with 2 inches between the artwork and the frame on<br />

each side. If the total area of a square frame is 225 square inches, what is the display area of the<br />

artwork? The display area is 121 square inches.<br />

Making the Connection<br />

5. Conduct research to find the sizes of various works by a famous artist. Find the perimeter and area of<br />

the works you researched. See students’ work.<br />

© Glencoe/McGraw-Hill T9 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 10<br />

Use with Lesson 10-6.<br />

About Per Capita Personal Income<br />

Many statistics are generated about the income of workers in the United States. One important<br />

statistic is the per capita personal income. Per capita is an expression that means “for each<br />

individual.”<br />

The per capita personal income of workers is spent in a variety of ways. The income that remains<br />

after taxes is known as disposable income, money that may be spent or saved. In 2000, workers<br />

spent 12% of their disposable income on durable goods, 29% on non-durable goods, and 56%<br />

on services.<br />

Durable goods are manufactured items that are expected to last a long time such as automobiles<br />

and kitchen appliances. Nondurable goods are short lived and include items such as paper<br />

products, groceries, and petroleum products. Services include such things as haircuts, dry<br />

cleaning, and medical care.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. In dollars, the per capita income of which state increased the most? The least?<br />

2. In percent, what was the increase in per capita income in your home state? What was the national<br />

percent increase?<br />

3. Estimate the per capita income of your state for the year 2010. Explain how your estimate was<br />

generated.<br />

4. For a 10-year period, would you expect an increase or a decrease in per capita income? Explain your<br />

answer.<br />

Making the Connection<br />

5. Research what percent of the disposable per capita personal income earned by U.S. workers is saved.<br />

Speculate on the amount of money you may need to save for certain events in your future. Write a<br />

short paper explaining why it is important to put aside a set amount of earnings in a savings plan.<br />

© Glencoe/McGraw-Hill 10 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 10<br />

Use with Lesson 10-6.<br />

About Per Capita Personal Income<br />

Many statistics are generated about the income of workers in the United States. One important<br />

statistic is the per capita personal income. Per capita is an expression that means “for each<br />

individual.”<br />

The per capita personal income of workers is spent in a variety of ways. The income that remains<br />

after taxes is known as disposable income, money that may be spent or saved. In 2000, workers<br />

spent 12% of their disposable income on durable goods, 29% on non-durable goods, and 56%<br />

on services.<br />

Durable goods are manufactured items that are expected to last a long time such as automobiles<br />

and kitchen appliances. Nondurable goods are short lived and include items such as paper<br />

products, groceries, and petroleum products. Services include such things as haircuts, dry<br />

cleaning, and medical care.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. In dollars, the per capita income of which state increased the most? The least?<br />

Massachusetts; Hawaii<br />

2. In percent, what was the increase in per capita income in your home state? What was the national<br />

percent increase? See students’ work; 51.4%<br />

3. Estimate the per capita income of your state for the year 2010. Explain how your estimate was<br />

generated. See students’ work.<br />

4. For a 10-year period, would you expect an increase or a decrease in per capita income? Explain your<br />

answer. See students’ work.<br />

Making the Connection<br />

5. Research what percent of the disposable per capita personal income earned by U.S. workers is saved.<br />

Speculate on the amount of money you may need to save for certain events in your future. Write a<br />

short paper explaining why it is important to put aside a set amount of earnings in a savings plan.<br />

See students’ work.<br />

© Glencoe/McGraw-Hill T10 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 11<br />

Use with Lesson 11-4.<br />

About American Softball<br />

Although the rules of the game vary slightly from one country to another, softball is played in<br />

many different countries throughout the <strong>world</strong>. The game of softball was invented in the United<br />

States and first played during the late 1800s. At that time, the game was played indoors. Today,<br />

softball is played outdoors on a field typically measuring 60 feet between bases and a maximum<br />

of 300 feet from home plate to all portions of the outfield fence.<br />

Formulas that can be applied to a diagram of a softball field include the Pythagorean Theorem:<br />

a 2 b 2 c 2 ; the area of a square: A s 2 ; the area of a circle: A r 2 ; and the circumference<br />

of a circle: C d.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Determine the distance from home plate to second base.<br />

2. Would the distance from first base to third base be the same as the distance from home plate to<br />

second base? Why or why not?<br />

3. What is the area bounded by the playing field shown in the diagram?<br />

4. Find the length of the outfield fence that stretches from the left field foul pole to the right field foul<br />

pole.<br />

5. Determine the straight line distance from the left field foul pole to the right field foul pole.<br />

Making the Connection<br />

6. How can the application of mathematical formulas to a sport, such as softball, benefit a coach, player,<br />

or fan of that sport?<br />

© Glencoe/McGraw-Hill 11 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 11<br />

Use with Lesson 11-4.<br />

About American Softball<br />

Although the rules of the game vary slightly from one country to another, softball is played in<br />

many different countries throughout the <strong>world</strong>. The game of softball was invented in the United<br />

States and first played during the late 1800s. At that time, the game was played indoors. Today,<br />

softball is played outdoors on a field typically measuring 60 feet between bases and a maximum<br />

of 300 feet from home plate to all portions of the outfield fence.<br />

Formulas that can be applied to a diagram of a softball field include the Pythagorean Theorem:<br />

a 2 b 2 c 2 ; the area of a square: A s 2 ; the area of a circle: A r 2 ; and the circumference<br />

of a circle: C d.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Determine the distance from home plate to second base. 84.85 ft<br />

2. Would the distance from first base to third base be the same as the distance from home plate to<br />

second base? Why or why not? Yes, because the diagonals of a square have the same<br />

measure.<br />

3. What is the area bounded by the playing field shown in the diagram?<br />

70,685.83 ft 2<br />

4. Find the length of the outfield fence that stretches from the left field foul pole to the right field foul<br />

pole. 471.24 ft<br />

5. Determine the straight line distance from the left field foul pole to the right field foul pole.<br />

427.26 ft<br />

Making the Connection<br />

6. How can the application of mathematical formulas to a sport, such as softball, benefit a coach, player,<br />

or fan of that sport? Sample answer: The application of formulas could help people<br />

better understand and appreciate the intricacies of the sport.<br />

© Glencoe/McGraw-Hill T11 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 12<br />

Use with Lesson 12-2.<br />

About Consumer Price Index<br />

The Consumer Price Index, or CPI, is a historical, comparative measure that describes how the<br />

overall cost of goods and services changes over time. The goods and services itemized in the CPI<br />

are those that are considered necessary for everyday life. Examples of these goods and services<br />

include food, clothing, housing, transportation, and medical fees.<br />

The CPI uses a certain period of time from the past as a reference point. Presently, the period<br />

1982–1984 is used. Goods and services available at that time, regardless of their cost, are given<br />

the value 100. The cost of goods and services in July 2000 and July 2001 are compared to their<br />

cost in 1982–1984. If those goods and services cost, for example, twice as much in July 2001 as<br />

they did in 1982–1984, they would be listed as 200 (2 100) in July 2001.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Which groups of goods and services showed the least price changes from July 2000 to July 2001?<br />

The greatest? By what percent did their prices change?<br />

2. Which groups, if any, cost less in July 2001 than they did in 1982–1984?<br />

3. Which groups, if any, cost less in July 2001 than they did in July 2000?<br />

4. The CPI for gasoline in July 2001 was 124.9. The cost of gasoline at that time was approximately<br />

$1.50 per gallon. What was the approximate cost of a gallon of gasoline in 1982–1984?<br />

Making the Connection<br />

5. Select a college or university and determine the cost of attending that school this year. Then use the<br />

CPI percent increase for 2001 to calculate the tuition for the next four years.<br />

© Glencoe/McGraw-Hill 12 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 12<br />

Use with Lesson 12-2.<br />

About Consumer Price Index<br />

The Consumer Price Index, or CPI, is a historical, comparative measure that describes how the<br />

overall cost of goods and services changes over time. The goods and services itemized in the CPI<br />

are those that are considered necessary for everyday life. Examples of these goods and services<br />

include food, clothing, housing, transportation, and medical fees.<br />

The CPI uses a certain period of time from the past as a reference point. Presently, the period<br />

1982–1984 is used. Goods and services available at that time, regardless of their cost, are given<br />

the value 100. The cost of goods and services in July 2000 and July 2001 are compared to their<br />

cost in 1982–1984. If those goods and services cost, for example, twice as much in July 2001 as<br />

they did in 1982–1984, they would be listed as 200 (2 100) in July 2001.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Which groups of goods and services showed the least price changes from July 2000 to July 2001?<br />

The greatest? By what percent did their prices change? The least change was in the CPI for<br />

transportation, 0.4%; the greatest change was in the CPI for medical care, 4.5%.<br />

2. Which groups, if any, cost less in July 2001 than they did in 1982–1984? The cost for all items<br />

on the chart is greater than the cost in 1982–1984.<br />

3. Which groups, if any, cost less in July 2001 than they did in July 2000? The cost for apparel<br />

was less in July 2001 than in July 2000.<br />

4. The CPI for gasoline in July 2001 was 124.9. The cost of gasoline at that time was approximately<br />

$1.50 per gallon. What was the approximate cost of a gallon of gasoline in 1982–1984? $1.20 per<br />

gallon<br />

Making the Connection<br />

5. Select a college or university and determine the cost of attending that school this year. Then use the<br />

CPI percent increase for 2001 to calculate the tuition for the next four years. See students’ work.<br />

© Glencoe/McGraw-Hill T12 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 13<br />

Use with Lesson 13-4.<br />

About Gestation and Longevity of Animals<br />

Earth is occupied by a great variety of animal life. Animals range in size from microscopic<br />

organisms that live inside your body to giant whales of the sea that measure many meters in<br />

length and circumference. Time of gestation, the period in which the fetus develops from<br />

conception to birth, varies considerably for different types of animals. Longevity, or life span,<br />

ranges from several hours for some microscopic organisms, to nearly 100 years for some animals.<br />

Animals and the other living things of Earth are classified by zoologists into five kingdoms:<br />

Monera, Protista, Fungi, Plantae, and Animalia. The organisms shown on Transparency 13 are<br />

members of the kingdom Animalia.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Determine the median, range, upper quartile, lower quartile, and interquartile range for each set<br />

of data.<br />

2. Can you identify any outliers within the gestation data? Within the longevity data?<br />

Making the Connection<br />

3. Research to determine if any of these animals are currently classified as endangered species.<br />

© Glencoe/McGraw-Hill 13 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 13<br />

Use with Lesson 13-4.<br />

About Gestation and Longevity of Animals<br />

Earth is occupied by a great variety of animal life. Animals range in size from microscopic<br />

organisms that live inside your body to giant whales of the sea that measure many meters in<br />

length and circumference. Time of gestation, the period in which the fetus develops from<br />

conception to birth, varies considerably for different types of animals. Longevity, or life span,<br />

ranges from several hours for some microscopic organisms, to nearly 100 years for some animals.<br />

Animals and the other living things of Earth are classified by zoologists into five kingdoms:<br />

Monera, Protista, Fungi, Plantae, and Animalia. The organisms shown on Transparency 13 are<br />

members of the kingdom Animalia.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Determine the median, range, upper quartile, lower quartile, and interquartile range for each set<br />

of data. Gestation: median 164, range 624, upper quartile 284,<br />

lower quartile 63, interquartile range 221; Longevity: median 12,<br />

range 37, upper quartile 15, lower quartile 8, interquartile range 7<br />

2. Can you identify any outliers within the gestation data? Within the longevity data? The gestation<br />

time and the average longevity for the elephant are outliers because both are more<br />

than 1.5 times greater than the upper quartile for the data set.<br />

Making the Connection<br />

3. Research to determine if any of these animals are currently classified as endangered species.<br />

As of January 2002, the animals classified as endangered are grizzly bear, beaver,<br />

wood bison, Bactrian camel, chimpanzee, Columbian white-tailed deer, Asian<br />

elephant, gorilla, Asiatic lion, black rhinoceros, tiger, and maned wolf.<br />

© Glencoe/McGraw-Hill T13 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 14<br />

Use with Lesson 14-5.<br />

About Games and Probability<br />

As you stand at a game booth at the fair, you may think about your chances of winning a prize<br />

by popping a balloon or tossing a coin onto a plate. Just how do you calculate your chances of<br />

winning? It may surprise you to discover that mathematicians have tackled questions just like<br />

that for nearly 350 years. The first formal writings on the topic of probability were exchanged<br />

between Fermat and Pascal in the middle of the 17th century.<br />

But it was another mathematician, Huygen, who coined the term “probability” in 1656 by<br />

observing that there are “six throws upon one die, which all have an equal probability of coming<br />

up.” In the decades that followed, probability was applied to such varied topics as calculating the<br />

chances that a jury would reach a correct verdict, approximating the value of pi, and fostering<br />

the insurance industry.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Overall, the chance of a contestant hitting the target at a dunking booth is 1 in 15. If each contestant<br />

takes 2 minutes to throw some balls, what is the average number of times the person in the booth<br />

should expect to be dunked every hour?<br />

2. The owner of the Ring Toss booth figures that 1 in every 20 patrons wins a prize. If the average<br />

prize costs $4, what is the expected net profit on every 20 patrons, paying 50¢ each?<br />

3. At the Duck Pond, a children’s booth, the child selects a duck and wins a prize. For 94 of 100 ducks<br />

in the pond, the child will win a trinket, but the child wins a stuffed animal for the other ducks. If<br />

350 children select a duck at the booth, about how many stuffed animals should the owner expect to<br />

give away?<br />

4. How many different combinations of three games of chance can be selected from the list of games?<br />

Making the Connection<br />

5. In 1777, Buffon (Georges-Louis Leclerc) conducted his famous experiment in probability to estimate<br />

the value of pi. Read how the experiment was conducted and then repeat the experiment yourself<br />

and report the results to the class.<br />

© Glencoe/McGraw-Hill 14 Glencoe Algebra 1


NAME _______________________________________________________ DATE _____________________________________<br />

REAL-WORLD APPLICATIONS<br />

STUDENT ACTIVITY for Transparency 14<br />

Use with Lesson 14-5.<br />

About Games and Probability<br />

As you stand at a game booth at the fair, you may think about your chances of winning a prize<br />

by popping a balloon or tossing a coin onto a plate. Just how do you calculate your chances of<br />

winning? It may surprise you to discover that mathematicians have tackled questions just like<br />

that for nearly 350 years. The first formal writings on the topic of probability were exchanged<br />

between Fermat and Pascal in the middle of the 17th century.<br />

But it was another mathematician, Huygen, who coined the term “probability” in 1656 by<br />

observing that there are “six throws upon one die, which all have an equal probability of coming<br />

up.” In the decades that followed, probability was applied to such varied topics as calculating the<br />

chances that a jury would reach a correct verdict, approximating the value of pi, and fostering<br />

the insurance industry.<br />

Directions: Use what you have seen and read to answer the following questions.<br />

1. Overall, the chance of a contestant hitting the target at a dunking booth is 1 in 15. If each contestant<br />

takes 2 minutes to throw some balls, what is the average number of times the person in the booth<br />

should expect to be dunked every hour? 2 times<br />

2. The owner of the Ring Toss booth figures that 1 in every 20 patrons wins a prize. If the average<br />

prize costs $4, what is the expected net profit on every 20 patrons, paying 50¢ each? $6<br />

3. At the Duck Pond, a children’s booth, the child selects a duck and wins a prize. For 94 of 100 ducks<br />

in the pond, the child will win a trinket, but the child wins a stuffed animal for the other ducks. If<br />

350 children select a duck at the booth, about how many stuffed animals should the owner expect to<br />

give away? 21 animals<br />

4. How many different combinations of three games of chance can be selected from the list of games?<br />

35 combinations<br />

Making the Connection<br />

5. In 1777, Buffon (Georges-Louis Leclerc) conducted his famous experiment in probability to estimate<br />

the value of pi. Read how the experiment was conducted and then repeat the experiment yourself<br />

and report the results to the class. See students’ work.<br />

© Glencoe/McGraw-Hill T14 Glencoe Algebra 1


MAJOR CONSUMERS OF PRIMARY ENERGY, 1999<br />

United States<br />

China<br />

Russia<br />

Japan<br />

Germany<br />

Canada<br />

India<br />

France<br />

United Kingdom<br />

Brazil<br />

Source: Energy Information Administration<br />

MAJOR PRODUCERS OF PRIMARY ENERGY, 1999<br />

United States<br />

Russia<br />

China<br />

Saudi Arabia<br />

Canada<br />

United Kingdom<br />

Iran<br />

India<br />

Mexico<br />

Australia<br />

0<br />

0<br />

13.98<br />

12.52<br />

12.18<br />

10.26<br />

9.92<br />

8.51<br />

12.01<br />

9.84<br />

9.17<br />

9.03<br />

8.78<br />

19.64<br />

17.71<br />

26.01<br />

21.71<br />

31.88<br />

10 20 30 40 50 60 70 80<br />

Quadrillion Btu<br />

30.87<br />

41.54<br />

72.28<br />

10 20 30 40 50 60 70 80<br />

Quadrillion Btu<br />

97.05<br />

90 100<br />

90 100<br />

Transparency 1<br />

World’s Major Producers and Consumers of Primary Energy<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1


Source: AP Moneywire<br />

Stock Trade<br />

TOP STOCKS BY NUMBER OF<br />

SHARES TRADED<br />

Most Active Stock Shares<br />

Top Stocks by Number of Shares<br />

Traded on September 4, 2001<br />

NEW YORK STOCK EXCHANGE<br />

Vol Last Chg<br />

Compaq Computer .............. 68,105,900 11.08 1.27<br />

Hewlett Packard Co. ........... 36,556,700 19.00 4.21<br />

Lucent Technologies Inc. ...... 21,112,600 6.52 0.30<br />

General Electric Co. ............ 18,444,000 40.83 0.15<br />

Johnson & Johnson ............. 18,216,900 56.15 3.44<br />

Providian Financial Corp. ..... 15,735,500 30.36 8.70<br />

AOL Time Warner Inc. .......... 15,250,800 37.50 0.15<br />

Nokia Corp. ...................... 14,320,600 15.00 0.74<br />

EMC Corp. ....................... 14,170,200 14.95 0.51<br />

Nortel Networks Corp. .......... 14,137,900 6.00 0.26<br />

Transparency 2<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1


Transparency 3<br />

Population Growth of U.S. Metropolitan Areas<br />

U.S. METROPOLITAN AREAS WITH POPULATION OF<br />

6 MILLION OR MORE<br />

Metropolitan<br />

Area<br />

New York-Northern NJ-<br />

Long Island<br />

Los Angeles-Riverside-<br />

Orange County<br />

Chicago-Gary-<br />

Kenosha<br />

Washington-Baltimore<br />

San Francisco-<br />

Oakland-San Jose<br />

Philadelphia-Wilmington-<br />

Atlantic City<br />

2000<br />

Population<br />

(Millions)<br />

21.2<br />

16.4<br />

9.2<br />

7.6<br />

7.0<br />

6.2<br />

Source: U.S. Census Bureau, Population Change and Distribution, Census 2000 Brief<br />

Percent<br />

Change<br />

(1990 to 2000)<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1<br />

8.4<br />

12.7<br />

11.1<br />

13.1<br />

12.6<br />

5.0


Transparency 4<br />

Interest on the U.S. Public Debt<br />

INTEREST<br />

ON THE U.S.<br />

PUBLIC DEBT<br />

(in billions)<br />

100 100<br />

Fiscal Year Interest Paid<br />

2000 $362.0<br />

1999 $353.5<br />

1998 $363.8<br />

1997 $355.8<br />

1996 $344.0<br />

1995 $332.4<br />

1994 $296.3<br />

1993 $292.5<br />

1992 $292.4<br />

1991 $286.0<br />

1990 $264.9<br />

1989 $240.9<br />

1988 $214.1<br />

Source: Bureau of Public Debt, U.S. Department of the Treasury<br />

http://www.publicdebt.treas.gov/opd.opdint.htm<br />

100 100<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1<br />

100<br />

100


Cost<br />

(in cents)<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

Source: Ameritech, 2001<br />

Transparency 5<br />

Comparison Shopping and Phone Rates<br />

COST OF LOCAL CALLS (less than 8 miles)<br />

Business<br />

Home<br />

1 2 3 4<br />

Minutes<br />

5 6 7<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1


MEDIA MAIL<br />

1 lb or less<br />

Each additional lb or<br />

fraction of a lb through 7 lb<br />

Each additional lb or<br />

fraction of a lb through 70 lb<br />

Source: U.S. Postal Service<br />

United States Postal Rates<br />

FIRST CLASS MAIL<br />

(2001)<br />

Transparency 6<br />

1 oz or less $0.34<br />

Each additional oz or fraction<br />

of an oz through 13 oz<br />

$0.23<br />

Book<br />

Rate<br />

(2001)<br />

$1.33<br />

$0.45<br />

$0.30<br />

PRIORITY MAIL<br />

(2001)<br />

Up to 1 pound<br />

Up to 2 pounds<br />

Up to 3 pounds<br />

Up to 4 pounds<br />

Up to 5 pounds<br />

$3.50<br />

$3.95<br />

$5.20<br />

$6.45<br />

$7.70<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1


Source: Bureau of the Public Debt<br />

Savings Bonds<br />

I Bond Rates<br />

Composite Rates for Dates of Issue<br />

September 1998 through October 2001<br />

Transparency 7<br />

Issue Date Fixed Rate Composite Rate<br />

Nov. 1998–Apr. 1999 3.30% 6.23%<br />

May 1999–Oct. 1999 3.30% 6.23%<br />

Nov. 1999–Apr. 2000 3.40% 6.33%<br />

May 2000–Oct. 2000 3.60% 6.53%<br />

Nov. 2000–Apr. 2001 3.40% 6.33%<br />

May 2001–Oct. 2001 3.00% 5.92%<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1


Planet<br />

Mercury<br />

Venus<br />

Earth<br />

Mars<br />

Jupiter<br />

Source: NASA<br />

Those Massive Planets<br />

Mass<br />

(in kilograms)<br />

3.303 × 1023 4.87 × 1024 5.98 × 1024 6.42 × 1023 1.899 × 1027 Saturn 5.686 × 10 26<br />

Uranus 8.66 × 10 25<br />

Neptune 1.030 × 10 26<br />

Pluto 1.27 × 10 22<br />

Transparency 8<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1


Frame Sizes<br />

5 7<br />

8 10<br />

9 12<br />

10 14<br />

11 14<br />

12 16<br />

14 18<br />

16 20<br />

18 24<br />

Mat Sizes<br />

8 10<br />

9 12<br />

11 14<br />

12 16<br />

16 20<br />

16 22<br />

Frames and Art<br />

Transparency 9<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1


AL $23,471 15,832 MT 22,569 15,524<br />

AK 30,064 22,719 NB 27,829 18,088<br />

AZ 25,578 17,211 NV 30,529 20,674<br />

AR 22,257 14,509 NH 33,332 20,713<br />

CA 32,275 21,889 NJ 36,983 24,766<br />

CO 32,949 19,703 NM 22,203 14,960<br />

CT 40,640 26,736 NY 34,547 23,315<br />

DE 31,255 21,636 NC 27,194 17,367<br />

DC 37,383 26,627 ND 25,068 15,880<br />

FL 28,145 19,855 OH 28,400 18,792<br />

GA 27,940 17,738 OK 23,517 16,214<br />

HI 28,221 22,391 OR 28,350 18,253<br />

ID 24,180 15,866 PA 29,539 19,823<br />

IL 32,259 20,756 RI 29,685 20,194<br />

IN 27,011 17,625 SC 24,321 16,050<br />

IA 26,723 17,380 SD 26,115 16,238<br />

KS 27,816 18,182 TN 26,239 16,821<br />

KY 24,294 15,484 TX 27,871 17,458<br />

LA 23,334 15,223 UT 23,907 14,996<br />

ME 25,623 17,479 VT 26,901 18,055<br />

MD 33,872 23,023 VA 31,162 20,538<br />

MA 37,992 23,223 WA 31,528 20,026<br />

MI 29,612 19,022 WV 21,915 14,579<br />

MN 32,101 20,011 WI 28,232 18,160<br />

MS 20,993 13,164 WY 27,230 17,996<br />

MO 27,445 17,751<br />

Source: U.S. Department of Commerce,<br />

Bureau of Economic Analysis,<br />

Survey of Current Business<br />

Per Capita Personal Income<br />

U.S. PER CAPITA PERSONAL INCOME<br />

2000 1990<br />

2000 1990<br />

Transparency 10<br />

National Totals<br />

Per Capita Personal Income<br />

2000<br />

$28,404<br />

1990<br />

$18,755<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1


foul<br />

pole<br />

300'<br />

Source: National Softball Association<br />

American Softball<br />

PROFESSIONAL<br />

SOFTBALL FIELD<br />

60'<br />

60'<br />

60'<br />

fence line<br />

Transparency 11<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1<br />

300'<br />

foul<br />

pole


Consumer Price Index<br />

Transparency 12<br />

Consumer Price Index for All Urban Consumers<br />

July July<br />

Group 2001 2000<br />

Food 173.5 168.12<br />

Housing 177.6 170.61<br />

Apparel 122.6 124.47<br />

Transportation 154.4 153.78<br />

Medical care 273.1 261.34<br />

Education and communication 104.8 102.04<br />

Personal care 170.7 165.73<br />

Recreation 105.0 103.65<br />

All items 177.5 172.8<br />

Based on 100 representing the 1982–1984 index.<br />

Source: Bureau of Labor<br />

Statistics<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1


Animal<br />

GESTATION AND<br />

AVERAGE LONGEVITY<br />

Bear (Grizzly)<br />

Beaver<br />

Bison<br />

Camel (Bactrian)<br />

Cat (domestic)<br />

Chimpanzee<br />

Chipmunk<br />

Cow<br />

Deer (white-tailed)<br />

Dog (domestic)<br />

Elephant (Asian)<br />

Elk<br />

Giraffe<br />

Goat (domestic)<br />

Gorilla<br />

Guinea pig<br />

Hippopotamus<br />

Horse<br />

Kangaroo<br />

Lion<br />

Monkey (rhesus)<br />

Mouse (meadow)<br />

Pig (domestic)<br />

Rabbit (domestic)<br />

Rhinoceros (black)<br />

Sea lion (California)<br />

Sheep (domestic)<br />

Squirrel (gray)<br />

Tiger<br />

Wolf (maned)<br />

Zebra (Grant’s)<br />

Transparency 13<br />

Gestation and Longevity of Animals<br />

Gestation<br />

(days)<br />

225<br />

122<br />

278<br />

406<br />

63<br />

231<br />

31<br />

284<br />

201<br />

61<br />

645<br />

250<br />

425<br />

151<br />

257<br />

68<br />

238<br />

330<br />

42<br />

100<br />

164<br />

21<br />

112<br />

31<br />

450<br />

350<br />

154<br />

44<br />

105<br />

63<br />

365<br />

Average<br />

Longevity<br />

(years)<br />

25<br />

5<br />

15<br />

12<br />

12<br />

20<br />

6<br />

15<br />

8<br />

12<br />

40<br />

15<br />

10<br />

8<br />

20<br />

4<br />

25<br />

20<br />

7<br />

15<br />

15<br />

3<br />

10<br />

5<br />

15<br />

12<br />

12<br />

10<br />

16<br />

5<br />

15<br />

Source: The Biology Data<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1


TICKET PRICES<br />

10 Tickets $5.00<br />

20 Tickets $10.00<br />

Games and Probability<br />

TICKETS REQUIRED<br />

Duck Pond 1<br />

Wheel of Chance 1<br />

Land a Penny 2<br />

Transparency 14<br />

Pop a Balloon 2<br />

Ring Toss 2<br />

Basketball Throw 3<br />

Dunking Booth 3<br />

© Glencoe/McGraw-Hill Glencoe Algebra 1

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