Graphs, Charts & Tables That Build Real-Life Math Skills
by Denise Kiernan
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Scholastic Inc. grants teachers permission to photocopy the designated reproducible pages from this book for classroom use. No other part of this publication may be reproduced in whole or in part, or stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without written permission of the publisher. For information regarding permission, write to Scholastic Inc., Inc., 555 Broadway, Broadway, New York, NY 10012. Some of the activities in this book were inspired by Scholastic Math and DynaMath. If you would like to order class subscriptions to these magazines, please call 1-800-724-6527.
Cover design by Jim Sarfati Cover illustrations by Dave Clegg Interior design by Melinda Belter Interior illustrations by Teresa Anderko ISBN 0-439-11107-2 0-439-11107-2 Copyright Copyright © 2001 by Denise Denise Kiernan. All rights reserved. Printed in the U.S.A.
Scholastic Inc. grants teachers permission to photocopy the designated reproducible pages from this book for classroom use. No other part of this publication may be reproduced in whole or in part, or stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without written permission of the publisher. For information regarding permission, write to Scholastic Inc., Inc., 555 Broadway, Broadway, New York, NY 10012. Some of the activities in this book were inspired by Scholastic Math and DynaMath. If you would like to order class subscriptions to these magazines, please call 1-800-724-6527.
Cover design by Jim Sarfati Cover illustrations by Dave Clegg Interior design by Melinda Belter Interior illustrations by Teresa Anderko ISBN 0-439-11107-2 0-439-11107-2 Copyright Copyright © 2001 by Denise Denise Kiernan. All rights reserved. Printed in the U.S.A.
Table Table of Contents Introduction
5
32
6
Shopping for Math food labels
Math Naps bar graphs
34
8
Math-in-a-Box box scores
Graphs Good Enough to Eat double bar graphs
Mutt Math chart reading
36
Pie Time circle graphs
10
ats Stacking Up St ats stacked bar graphs
12
Math Movie Madness (Part 1) line graphs
Tune In to Schedules schedules and time
38
40
14
Circle Survey circle graphs
42
Math Movie Madness (Part 2) line graphs
16
Super Pix pictographs
Math Movie Madness (Part 3) charts, double double bar bar graphs graphs
44
18
Today’s Today’s Forecast: Maps! map reading and interpretation
46
Sport Graphs Do Double Time double line graphs
20
Taking Taking Stock of Stocks table reading
Smoking Stats triple line graphs gr aphs
48
22
Dinner Diagrams Venn diagrams
50
Math Mileage mileage tables
24
Menu Math menu reading and interpretation
52
Dinosaurs on the Map grid mapping
26
Have Stats, Will Travel (Parts 1–4) charts, schedules, schedules, and money conversions conversions
57
Coordinate Math Mapping coordinate mapping
28
Statistics Scavenger Hunt open-ended statistics brainstorming and identification
Picto-Players pictographs
30
Appendix 1: Quick Reference
58
Appendix 2: Teacher Resources
59
Blank Graph Reproducibles
61
Teacher’s Page
Math Naps
Learning Objective Students learn to use bar graphs
What You’ll Need • Math Naps reproducible, page 7
DIRECTIONS 1.
Distribute the Math Naps reproducible to students and explain that they will be reading a bar graph and comparing the amounts of time different animals spend sleeping.
Name___________________________________________________ Date______________________
Math Naps Hey—wakeup!It’stimeforsomemath. Checkoutthesleepyhabitsofsomecrittersonourbar graph.Completethegraphwiththeinformationintheboxandanswerthequestions.And remember—nosnoozing!
Number of Hours Slept in One Day 20 18
2.
Review bar graphs with students. Explain that these graphs often are used to show and compare total numbers of things; in this case, the total numbers of hours slept.
16 14 12 10 8 6 e e z n a p m i h C
4 2
n o h t y P
t a B
t a C
0
Animal
3.
Instruct students to look at the information already graphed for them. They should notice bars are often placed on the graph in ascending or descending order. They should keep this in mind as they complete the graph.
HoursSlept
Duck 1 0- t o 1 2- ye ar -o dl h u ma n Seal Giraffe QUESTIONS 1. Abouthowmany a.
hoursa daydo thefollowinganimals sleep?
Python__________________
2. Abouthowmany 3. Whichanimals
Explain to students that after reading the information in the stats box, they should decide where to place each bar and choose a different color to represent each animal they graph.
b.
Cat__________________
c.
Chimpanzee __________________
morehours aday doesa batsleep thana 10-to 12-year-oldhuman?____________
spendmore timeasleep eachday thanawake? ________________________________
4. Whichanimalspends
aboutthesame amountof timeduringthe dayasleep asit doesawake?
______________________________ 5. Whichanimalsleeps
ScholasticProfessionalBooks• 2001
4.
11 10 6 2
aboutseven timesas longas thegiraffe? __________________________________
GreatGraphs,Charts&TablesThatBuild Real-LifeMathSkills
7
• pencil • different colored pens or pencils
A N S W E R S
Completed graph should look like this: 20 18
EXTENSION ACTIVITY
16 14
An adult human sleeps an average of 8
12 10 8 6 4 2
n o h t y P
t a B
e e z n a p m i h C
t a C
k c u D
n a m u h d l o r a e y 2 1 o t 0 1
hours a day, while a human baby sleeps 16 hours per day. Ask students to create a bar graph showing this, along with the l a e S
e f f a r i G
Ask students if they sleep more or less
0
18 4. Cat 1a.
number of hours per day that they sleep.
12 1c. 14 2. 10 5. Chimpanzee
1b.
3.
Bat, Python, Chimpanzee
than the average 10- to 12-year-old.
Name ______________________________________ _____________ Date ______________________
Math Naps Hey—wake up! It’s time for some math. Check out the sleepy habits of some critters on our bar graph. Complete the graph with the information in the box and answer the questions. And remember—no snoozing!
Number of Hours Slept in One Day 20 18 16 14 12 10 8 6 4 t a B
2
n o h t y P
e e z n a p m i h C
t a C
0
Animal
Hours Slept
Duck 10- to 12-year-old human Seal Giraffe
11 10 6 2
QUESTIONS 1. About a.
how many hours a day do the following animals sleep?
Python __________________
b.
Cat __________________
c.
Chimpanzee __________________
2. About
how many more hours a day does a bat sleep than a 10- to 12-year-old human? ____________
3. Which
animals spend more time asleep each day than awake? ________________________________
4. Which
animal spends about the same amount of time during the day asleep as it does awake?
______________________________ 5. Which
animal sleeps about seven times as long as the giraffe? __________________________________
Teacher’s Teacher’s Page
Graphs Good Enough to Eat
Learning Objective Students learn to use double bar graphs
What You’ll Need • Graphs Good Enough to Eat reproducible, page 9
DIRECTIONS 1.
2.
Distribute the Graphs Good Enough to Eat reproducible to students and explain that in this activity they will be creating double bar graphs to chart information based on survey results about the favorite foods of kids their age.
Name___________________________________________________ Date______________________
Graphs Good Enough to Eat Getreadytochowdown!What’son themenu? Adouble helpingof math—doublebargraphs, thatis.Checkoutwhatsomekidsjustlikeyoulovetoeatandputthe resultsonour t sonour doublebar graph.Wedidthe firstoneforyou.
Fave Lunch Foods 300 285 270 255 240 225 210 195 180 165 150 135 120 105 90 75 60 45 30 15 0
Review double bar graphs with students. Explain that these graphs are often used to show and compare total numbers of things but that each group is divided into two; in this case, boys and girls.
Pizza
Spaghett i
Tacos
SURVEY RESULTS F av eF eF ood Nu mb er of of B oy s Pizza Spaghetti Tacos Hamburgers Chicken
285 32 73 117 49
Hambur gers
Chicken
Nu mb er o f Gi rl s 280 74 87 105 27
QUESTIONS
3.
4.
Encourage students to read the results of each category in the information box and to look at the example that is already graphed. For each remaining category, students should use a different color for boys and girls to complete the graph.
1. Alltogether,how 1. Alltogether,how manykidschose hamburgersas theirfavoritefood? _________________________ 2. Theresultswere closestfor whichfood? _____________________________________________________ 3. Theresultswere furthestapartfor whichfood? ______________________________________________ 4. Whichfood 4. Whichfood islikedby abouthalfas manygirls asboys? ______________________________________ 5. Howmany moregirls thanboyslike tacos?_________________________________________________ S ch ol sa it c rP of es si on la B o ks • 2 00 1
G er ta Gr Gr ap hs ,C ha tr s &Ta bl es Th Th at Bu Bu li dR dR ea -l iL ef Ma Ma ht S ikll s
9
• pencil • two different colored pens or pencils
A N S W E R S
Completed graph should look like this:
Fave Lunch Foods EXTENSION ACTIVITY
300 285 270 255 240 225 210 195 180 165 150 135 120 105 90 75 60 45 30 15 0 Pizza
1.
222
2.
Spaghetti
Pizza
3.
Tacos
Spaghetti
Hamburgers
4.
Chicken
Chicken
5.
14
Take a survey in the classroom or in the school cafeteria about favorite foods and create a double bar graph based on the results. The same kind of survey and resulting graph can be made based on favorite sports, historical figures, colors, television shows—you name it. And the double bar graph does not have to be divided according to gender: It can, for example, compare two classrooms classrooms or two different grades.
Name ______________________________________ _____________ Date ______________________
Graphs Good Enough to Eat Get ready to chow down! What’s on the menu? A double helping of math—double bar graphs, that is. Check out what some kids just like you love to eat and put the results on our double bar graph. We did the first one for you.
Fave Lunch Foods 300 285 270 255 240 225 210 195 180 165 150 135 120 105 90 75 60 45 30 15 0 Pizza
Spaghetti
Tacos
SURVEY RESULTS Fave Food Number of Boys Pizza Spaghetti Tacos Hamburgers Chicken
285 32 73 117 49
Hamburgers
Chicken
Number of Girls 280 74 87 105 27
QUESTIONS 1. All
together, how how many kids chose hamburgers as their favorite food? ________________ ________________________ ____________ ____
2.
The results were closest for which food? _______________________________________________________
3.
The results were furthest apart for which food? _________________________________________________
4. Which 5.
food is liked by about half as many girls as boys? ______________________ _______________________________ _________________ _________ _
How many more girls than boys like tacos? ___________________________________________________
Teacher’s Teacher’s Page
Pie Time
Learning Objective Students learn to use circle or “pie” graphs
What You’ll Need • Pie Time reproducible, page 11
DIRECTIONS 1.
Distribute the Pie Time reproducible to students. Explain that they will be reading and creating circle graphs to illustrate how they, other kids their age, and their classmates spend time.
Name___________________________________________________ Date______________________
Pie Time Whole-ycircle graphs!Video gamesare bigtime— buthowmuchtimedosomekidsyourage spendplayingthemeveryday?Lookatthiscirclegraphto findout.Howbigwouldbeyour pieceofthismathematicalpie?Startbyansweringquestionsandthenbake—er.. .make—apie ofyourownusingtheinformationatthebottomofthepage.
How Much Time Kids Spend Playing Video Games Each Day (NumbersOutof100Kids) QUESTIONS
2. Review
circle graphs with students and explain that they are used to show parts of a whole. Like a pie cut into pieces, students can look at the size of each piece to understand statistical information. The pie represents all kids surveyed, each piece represents the number of kids.
1.
1 hour
Howmanykidsspendatleastone hourplayingvideo games?
29 kids
__________________________________ 2.
Howmanykidsspendnomorethan twohours playingvideoga mes?
Less than 1 hour
2 hours
44 kids
15 kids
__________________________________ 3.
Howmanykidsspendthreeormore hoursplayingvideo games? __________________________________
4. Whichisgreater:
3 hours 6 kids 6 or more hours 4 to 5 hours 2 kids
4 kids
thenumberof kids
whospend twoor morehours perday playingvideogames n gvideogames,orthenumberof kidswhoplayforlessthanonehour? ___________________________________ ___________________________________
5.
Nowcreateandlabelyourowncirc e andlabelyourowncirclegraph usingthefollowing information:
TIME KIDS SPEN D PL AYING SPORTS EACH DAY
3. Instruct
students to look at the pie and talk about the results before answering the questions.
N um be r o f Ho Ho ur s
P er ce ce nt ag ag e o f Ki ds ds
Less than 2 2 3 More than 3
24 31 20 25
ScholasticProfessionalBooks• 2001
4.
Students will then create a pie graph using the information in the box at the bottom of the page. If possible, students should use a different color to represent each piece of their pie graph.
A N S W E R S 1. 56 4. The 5.
2.
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11
• pencil • different colored pens or pencils
88
3.
12
number of kids who play for less than one hour
Completed graph should look like this:
More than 3 hours 25% 3 hours 20%
Less than 2 hours 24% 2 hours 31%
EXTENSION ACTIVITY Students can create a circle graph where the whole represents one day and each piece represents the amount of time they spend doing various activities, including sleeping, eating with their families, and so forth. It is an excellent way, while driving home important math concepts, to get students to think about how they spend their time. Two different graphs can be done, one representing a typical school day and one representing a typical summer vacation day. day.
Name ______________________________________ _____________ Date ______________________
Pie Time Whole-y circle graphs! Video games are big time— but how much time do some kids your age spend playing them every day? Look at this circle graph to find out. How big would be your piece of this mathematical pie? Start by answering questions and then bake—er . . . make—a pie of your own using the information at the bottom of the page.
How Much Time Kids Spend Playing Video Games Each Day (Numbers Out of 100 Kids) QUESTIONS 1.
1 hour
How many kids spend at least one hour playing video games?
29 kids
__________________________________ 2.
How many kids spend no more than two hours playing video games?
Less than 1 hour
2 hours
44 kids
15 kids
__________________________________ 3.
How many kids spend three or more hours playing video games? __________________________________
3 hour 6 kids 6 or more hours 4 to 5 hours 2 kids
4 kids
4. Which
is greater: the number of kids
who spend two or more hours per day playing video games, or the number of kids who play for less than one hour? ___________________________________ ___________________________________
5.
Now create and label your own circle graph using the following information:
T I M E KI D S S P E ND P L AY I N G SPORTS EACH DAY Number of Hours
Percentage of Kids
Less than 2 2 3 More than 3
24 31 20 25
Teacher’s Page
Stacking Up Stats
Learning Objective Students learn to use stacked bar graphs
What You’ll Need • Stacking Up Stats reproducible, page 13
DIRECTIONS 1. Distribute
the Stacking Up Stats reproducible to students. Explain that they will be using stacked bar graphs to compare the amount of money athletes make from their salary to the amount they make from endorsements such as television commercials.
Name___________________________________________________ Date______________________
Stacking Up Stats Manyprofessionalathleteshaveveryhighincomes,butnotall ofit comesfromplayin gsports. Lookatthesestackedbargraphsandsee howmuchsomeathle tesmadein1996whenthey werenot playingtheir sports.
Earnings of Selected Athletes $60 55 Salary
50 S 45 R A L 40 L O35 D F O30 S N25 O I L L 20 I
2. Review
stacked bar graphs with students and explain that they are used to divide one piece of information into two or more parts. In this case, a stacked bar graph divides the total amount of money an athlete makes into salary and endorsements.
Endorsement
M 15 10 5 0
ATHLETES QUESTIONS 1. Abouthow
muchmoney didMonicaSeles make?_____________________________________________
2. Whichathletemade
theleast moneyin salaryalone? __________________________________________
3. Whichathletemade
themostmoney insalary alone?__________________________________________
4. a. Whomademore
3. Instruct
students to look at the graph and talk about what they see before answering the questions.
b. Who
inendorsements,GrantHillor AndreAgassi?_________________________________
mademorein salary?________________________________________________________________
5. Whichathlete’stotalearnings
wereaboutthe sameas MichaelJordan’ssalary?____________________
ScholasticProfessionalBooks• 2001
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13
• pencil • two different colored pens or pencils
A N S W E R S
$7 million
4a. Andre
Agassi
2. Tiger Woods
4b. Grant
Hill
1.
3. Michael
Jordan
5. Cal
Ripken
EXTENSION ACTIVITY Students can make stacked bar graphs to describe a variety of things
$
that have two components. For example: Those who have savings can divide the total into money they have earned and money that has been given to them such as an allowance or a gift.
Name ______________________________________ _____________ Date ______________________
Stacking Up Stats Many professional athletes have very high incomes, but not all of it comes from playing sports. Look at these stacked bar graphs and see how much some athletes made in 1996 when they were not playing their sports.
Earnings of Selected Athletes $60 55 Salary
50
Endorsement
S 45 R A 40 L L O 35 D F O 30 S N 25 O I L L I 20 M 15
10 5 0
ATHLETES
QUESTIONS 1. About
how much money did Monica Seles make? _____________________________________________
2. Which
athlete made the least money in salary alone? __________________________________________
3. Which
athlete made the most money in salar y alone? ___________________________________ _______
4. a. Who
made more in endorsements, Grant Hill or Andre Agassi? _________________________________
b. Who 5. Which
made more in salary? __________________________________________________________ ______ athlete’s total earnings were about the same as Michael Jordan’s salary? ____________________
Teacher’s Page
Math Movie Madness (Part 1)
Learning Objective Students learn to use line graphs
What You’ll Need DIRECTIONS 1. Distribute
the Math Movie Madness (Part 1) reproducible to students. Explain that they will be using line graphs to look at how attendance at movie theaters has changed over the years. line graphs with students and explain that line graphs are used to show changes over time for a particular statistic. In this case, the line graph will show changes over time for movie attendance in the United States.
• Math Movie Madness (Part 1) reproducible, page 15 Name___________________________________________________ Date______________________
Math Movie Madness (Part 1) What’splaying? Linegraphs! Thinkmovies arepopular now?Take alook athow theylined up inthe1940s.Butthegraphisn’tfinished.Where doesattendancegofromhere?Comple tethe graphwiththeinformatio ninthebox belowto seehowmovieattendancechangedbetween 1966and1996.I’llgetthe popcorn!
2. Review
Movie Attendance in the United States (numbershavebeenapproximatedfor graphingpurposes)
4.5 4.0 3.5 ) s n o i l l i b n i ( S R E O G E I V O M
3.0 2.5 2.0 1.5
ATTEN DANCE IN MOVIE THEATERS
1.0 0.5 0 194 1
students to look at the graph and comment on what they see. They should then complete the line graph using the information in the Attendance box and answer the questions.
194 6 195 1 1 9 56 1 9 61
3. Instruct
1 9 66 1 9 71 YEAR
1 9 76
198 1
1 9 86
1 9 91 1 9 9 6
Year
Number ofPeople
1 97 1 1 97 6 1 98 1 1 98 6 1 99 1 1 99 6
08 . b li il on 1 . 0b li il on 12 . b li il on 11 . b li il on 13 . b li il on 15 . b li il on
QUESTIONS 1. Abouthow 2.
manypeoplewent tothe moviesin 1956?__________________________________________
Inwhich yearwas attendancetheleast? ______________________________________________________
3. Abouthowmany
fewerpeople sawmovies in1976than in1956?________________________________
4. a. Thegreatestdrop
inattendanceoccurredbetween whichtwoyears onthegra ph?_______________
b. Abouthowmuch
didattendancedrop duringthat time? ____________________________________
ScholasticProfessionalBooks• 2001
GreatGraphs,Charts&TablesThatBui ldReal-LifeMathSkills
15
A N S W E R S
• pencil
Completed graph should look like this:
4.5 4.0
EXTENSION A C T I V I T Y
3.5 ) s n o i l l i b n i ( S R E O G E I V O M
3.0 2.5 2.0
Students can gather information
1.5
from a local theater or theaters
1.0
about how their attendance has
0.5
changed over the years. As a dis-
0 1941
1946
1951
1956
1961
1966 1971 YEAR
1. 2 billion 4a. 1946
2. 1971
and 1951
3. about 1 billion 4b. 1.3
billion
1976
1981
1986
1991
1996
cussion topic or essay subject, have students write about how they think video rentals and cable movie channels have affected attendance at movie theaters.
Name ______________________________________ _____________ Date ______________________
Math Movie Madness (Part 1) What’s playing? Line graphs! Think movies are popular now? Take a look at how they lined up in the 1940s. But the graph isn’t finished. Where does attendance go from here? Complete the graph with the information in the box below to see how movie attendance changed between 1966 and 1996. I’ll get the popcorn!
Movie Attendance in the United States (numbers have been approximated for graphing purposes)
4.5 4.0 3.5 ) s n o i l l i b n i ( S R E O G E I V O M
3.0 2.5 2.0 1.5 1.0
AT T E N D A NC E I N M O V I E T H E AT E R S
0.5
Year
Number of People
1971 1976 1981 1986 1991 1996
0. 8 billion 1. 0 billion 1. 2 billion 1. 1 billion 1. 3 billion 1. 5 billion
0 1941
1946
1951
1956
1961
1966 1971
1976
1981
1986
1991
1996
YEAR
QUESTIONS 1. About 2.
how many people went to the movies in 1956? __________________________________________
In which year was attendance the least? ______________________________________________________
3. About
how many fewer people saw movies in 1976 than in 1956? ________________________________
4. a. The greatest drop in attendance occurred between which two years on b. About
the graph? _______________
how much did attendance drop during that time? ____________________________________
Teacher’s Page
Math Movie Madness (Part 2)
Learning Objective Students learn to use line graphs
What You’ll Need DIRECTIONS: 1. Distribute
the Math Movie Madness (Part 2) reproducible to students. Explain that they will again use a line graph to look at the world of movies, this time to show how the cost of attending a movie has changed over the years.
• Math Movie Madness (Part 2) reproducible, page 17 Name___________________________________________________ Date______________________
Math Movie Madness (Part 2) IfyoulikedMathMovieMadness(Part1)you’llloveoursequel! Onceagain ,linegraphsare thestar.Thistimewe’vegotthe ticket—ticketprice,thatis.Andyoushouldseehowtheprices havechanged.CompletethegraphwiththeinformationintheNowPlayingboxbelow.Watc h thepricesgoupfrom1946to1996alongwiththecurtain!
Movie Ticket Prices in the United States (numbershavebeen averagedand approximatedforgr aphingpurposes)
2. Review
line graphs and the previous activity with students and remind them that line graphs show changes over time for a particular statistic. In this case, the line graph will show changes over time for the cost of movie attendance in the United States.
3. Instruct
students to look at the graph and comment on what they see. They should then complete the line graph with the information in the Now Playing box and answer the questions.
$5.00 4.50 4.00 E C I R P T E K C I T E G A R E V A
3.50 3.00 2.50 2.00 1.50
Now Playing
1.00 .50
TIC KET PRIC ES 0 193 6
1 9 46 1 9 56 1 9 66 YEAR
197 6
1 9 86 1 9 96
Year
Price
1976 1986 1996
$2.25 $3.75 $4.50
QUESTIONS 1. Abouthowmuchmore
didaticket costin1986than in1946?____________________________________
2.
Inwhichten-year perioddidticket pricesincreasethe most? ___________________________________
3.
Howmuchless didaticket costin1956than in1996? __________________________________________
4. Whichcostmore, 5.
buyingfivetickets in1946or oneticketin 1996?_______________________________
Fortheprice ofone ticketin1996,how manyticketscouldyou buyatthe 1946price? ______________
ScholasticProfessionalBooks• 2001
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17
• pencil
A N S W E R S
Completed graph should look like this:
4.50 4.00 E C I R P T E K C I T E G A R E V A
EXTENSION ACTIVITY
3.50 3.00 2.50 2.00 1.50 1.00 .50 0 1936
1 946
1956
1966
1976
1986
1996
YEAR
$3.25 2. 1976–1986 4. 1 ticket in 1996 5. 9 1.
3.
$4.00
Ask students to talk to older relatives or friends about how much they paid to attend the movies when they were young. You also may provide a comparison for students by telling them what movies cost when you were their age. You may E N even want to talk about double- and triple-feaO T I ture deals! They can make a similar D line M graph A A D M based on how the price ofOmovies I T O N E A D M I T N E has changed in their short lives. Ask them how they think movie attendance would change if ticket prices were lowered.
I
I
Name ______________________________________ _____________ Date ______________________
Math Movie Madness (Part 2) If you liked Math Movie Madness (Part 1) you’ll love our sequel! Once again, line graphs are the star. This time we’ve got the ticket—ticket price, that is. And you should see how the prices have changed. Complete the graph with the information in the Now Playing box below. Watch the prices go up from 1946 to 1996 along with the curtain!
Movie Ticket Prices in the United States (numbers have been averaged and approximated for graphing purposes)
$5.00 4.50 4.00 E C I R P T E K C I T E G A R E V A
3.50 3.00 2.50 2.00 1.50
Now Playing
1.00 .50
T I C KE T P R I C E S 0 1936
1946
1956
1966 YEAR
1976
1986
1996
Year
Price
1976 1986 1996
$2.25 $3.75 $4.50
QUESTIONS 1. About
how much more did a ticket cost in 1986 than in 1946? ____________________________________
2.
In which ten-year period did ticket prices increase the most? ___________________________________
3.
How much less did a ticket cost in 1956 than in 1996? __________________________________________
4. Which 5.
cost more, buying five tickets in 1946 or one ticket in 1996? _______________________________
For the price of one ticket in 1996, how many tickets could you buy at the 1946 price? ______________
Teacher’s Page
Math Movie Madness (Part 3)
Learning Objective Students use the ideas presented in the last two activities
What You’ll Need
and what they have learned about double bar graphs to understand the relationship between changing ticket prices and movie attendance
• Math Movie Madness (Part 3) reproducible, page 19
DIRECTIONS
Name___________________________________________________ Date______________________
Math Movie Madness (Part 3) Makeyour reservationsnow—MathMovieMadness(Part3) ishereandguaranteedtokeepyou ontheedgeofyourdesks!Toanswerthequestionsonthispage,you’llneedtolookatthedoublebargraphandchartbelow.Ifyou thinktoday’smovie blockbustersarereallythebiggest money-makersofalltime,thinkagain.ItlookslikeReturnoftheDoubleBarGraph mayhavea surpriseending!
1. Distribute
the Math Movie Madness (Part 3) reproducible to students. Explain that they will be using some of the same ideas presented in the previous two activities.
Movie Earnings and Adjusted Movie Earnings DoctorZhivago
Jaws TheSound ofMusic
EarningsAdjustedfor Today'sTicketPrices
TheTen Commandments
ActualMovieEarnings
E.T. StarWars GoneWith theWind
2. Review
double bar graphs with students. Remind them that double bar graphs can be used to show and compare total numbers of things, but that each group is divided into two. In this case, the double bar graph will compare how much a movie made at the time it was released to how much the same movie would make based on today’s ticket prices.
3.
Instruct students to look at the double bar graph and the movie attendance chart, and review the material in the previous activities before answering the questions.
0
50
100
150
200
250
300
350
400
450
500
550
600
650
700
750
800
850
MoneyEarned (inmillions ofdollars) QUESTIONS 1 . a. Abouthowmuchmoneydid
TheTenC ommand-
MOVIE ATTEN DANCE
ments makewhenit wasreleased?
Movie
___________________________________________ b.
Howmanypeople saw TheTenCommandments whenit wasreleased? _______________________
c. Accordingtoadjustedmovieprices,howmuch
moneydid TheTenCommandments make? ___________________________________________
Numberof People
GoneWiththeWin d ( 19 39 )
1 97 5, 48 7, 31
StarWars (1977)
144,726,521
E.T. (1982)
135,987,938
TheTenCommandments ( 1 9 56 )
1 3 10, 0 00, 0 0
TheSoundofMusic ( 19 65 )
1 30 5, 71 4, 29
Jaws (1975)
128,078,818
DoctorZhivago (1 965 )
1 24, 135 4, 56
2.
Whichmoviemadethemost actualmoney? _____________________________________________
3.
Whichmovie madethe mostmoney in adjusted earnings? ____________________________________
6.
4.
Howmuchmore actualmoneydid E.T. makethan G o ne W i t h t h e W i n d? __________________________
7.
About how much money didDr.Zhivago makewhen it was released? ________________________________
5.
Howmuchmoreinadjustedearningsdid GoneWith theWind makethan E.T.?____ ___________________
8.
Usingtheanswersto6 and7,about howmuchdida
ScholasticProfessionalBooks• 2001
Howmanypeoplesaw Dr.Zhivago in1965? _______________________________________________
ticketcostto see Dr.Zhivago ?_____________ _______ GreatGraphs,Charts&TablesThatBui ldReal-LifeMathSkills
19
• pencil • two different colored pens or pencils • calculator
A N S W E R S 1a. 75 million 2.
E.T.
1b. 131 million
1c. 570 million
3. Gone With the Wind
4. 205 million
5. 250 million
7. 100 million
8.
6. 124,135,456
$0.80
25
EXTENSION ACTIVITY
Have students talk about what they think inflation means. Have students go on a grocery store scavenger hunt and get the prices of some everyday items. Then have them do some research in the library about what those items would have cost 5, 10, and 20 years ago. This exercise can be a jumping-off point for essay writing, percents, fraction (of cost), and so forth.
25
Name ______________________________________ _____________ Date ______________________
Math Movie Madness (Part 3) Make your reservations now—Math Movie Madness (Part 3) is here and guaranteed to keep you on the edge of your desks! To answer the questions on this page, you’ll need to look at the double bar graph and chart below. If you think today’s movie blockbusters are really the biggest money-makers of all time, think again. It looks like this one may have a surprise ending! QUESTIONS
Movie Earnings and Adjusted Movie Earnings Doctor Zhivago Jaws The Sound of Music
Earnings Adjusted for Today's Ticket Pri ces
The Ten Commandments
Actual Movie Earnings
E. T. Star Wars Gone With the Wind
0
50
100
150
200
250
300
350
400
450
500
550
600
650
700
750
800
850
Money Earned (in millions of dollars) 1. a. About
how much money did The Ten Command-
ments make when it was released?______________
M O V I E AT T E N D A N CE
____________________________________________
Movie
How many people saw The Ten Commandments when it was released? _______________________
b.
Number of People
Gone With the Wind (1939)
197,548,731
Star Wars (1977)
144,726,521
to adjusted movie prices, how much money did The Ten Commandments make?______
E.T. (1982)
135,987,938
The Ten Commandments (1956)
131,000,000
_____________________________________________
The Sound of Music (1965)
130,571,429
Jaws (1975)
128,078,818
Doctor Zhivago (1965)
124,135,456
c. According
2. Which
movie made the most actual money?_______ _______________________________________________
3. Which
movie made the most money in adjusted earnings? ____________________________________
_______________________________________________
4.
How much more actual money did E.T. make than Gone With the Wind ? __________________________
7.
About how much money did Dr. Zhivago make when it was released? ________________________________
5.
How much more in adjusted earnings did Gone With the Wind make than E.T.? _______________________
8.
Using the answers to 6 and 7, about how much did a
6.
How many people saw Dr. Zhivago in 1965?
ticket cost to see Dr. Zhivago? ____________________
Teacher’s Page
Sports Graphs Do Double Time
Learning Objective Students learn to use double line graphs
What You’ll Need • Sports Graphs Do Double Time reproducible, page 21
DIRECTIONS 1. Distribute
the Sports Graphs Do Double Time reproducible to
Name___________________________________________________ Date______________________
Sports Graphs Do Double Time
students. 2.
3.
Let’splay! Today,kidsall overthe countryplay manydifferentsports. Checkout ourgraph tosee howthenumberofparticipantschangedbetween1971and1996.We’v egivenyousomenumberstofillinsohavethosecoloredpencilsready!Comple tethegraphbyusingtheinform atio nin theboxatthe bottomofthepage.Thenanswerthequestions.
Review double line graphs with students and remind them that line graphs are used to show changes over time. Explain that double line graphs show changes over time for two different groups, in this case boys and girls and how their participation in sports has changed over the years. Instruct students to look at the graph and talk about the changes over time for both groups.
Participation in U.S. High School Athletics 4.5
the information in the Girls Getting in the Game box, students cam complete the graph and then answer the questions.
A N S W E R S
Girls
0 1 9 7 -17 2 1 9 7 3 -7 4 1 9 7-7 5 6 1 9 7 7 -78 1 9 7-8 9 0 1 9 8 1 -82 1 9 8-8 3 4 1 9 8-8 5 6 1 9 8 7 -88 1 9 8-9 9 0 1 9 9 1 -92
1 9 9 -39 4 1 9 9 5 -96
SCHOOL YEAR
QUESTIONS 1. Which
group experienced the greatest increase from1971to 1996?____________________________
GIRLS GETTING IN THE GAME Boys Girls 1971–72
3,500,000
2.
Betweenwhichtwopointsonthegraphdidgirls’ participationincrease themost? _______________
1 9 73 – 74
j u st u n d er 4 , 0 00 , 00 0
1 , 40 0 0, 0 0
1 9 75 – 76
j u st o v e r 40, 0 0, 0 00
1 , 70 0 0, 0 0
3.
Betweenwhichtwopointsonthegraphdidboys’ participationdecrease themost? _______________
1 97 7– 78
4 25 , 0, 000
2 0, 00 00 , 0
1 97 9– 80
3 50 , 0, 000
1 8, 00 00 , 0
1 98 1– 82
3 40 , 0, 000
1 9, 00 00 ,
1 98 3– 84
3 30 , 0, 000
1 8, 00 00 , 0
1 98 5– 86
3 50 , 0, 000
1 8, 00 00 , 0
1 98 7– 88
3 40 , 0, 000
1 9, 00 00 , 0
1 98 9– 90
3 30 , 0, 000
1 9, 00 00 , 0
1 99 1– 92
3 45 , 0, 000
2 0, 00 00 , 0
1 99 3– 94
3 45 , 0, 000
2 1, 00 00 , 0
1 99 5– 96
3 60 , 0, 000
2 4, 00 00 , 0
4. a. Inwhichyearwasthedifferen ceinthe
number of girl participants and boy participants the greatest? __________________________________
b.
5.
4. Using
Boys
4.0 S E 3.5 T E L 3.0 ) H s T n A o2.5 i l l F i O m n2.0 i R ( E B 1.5 M U N .5
Howmuchwasthe difference?______________ __________________________________________
In1995–96,abouthow manymoreboys participatedin sportsthan girls?________________________
ScholasticProfessionalBooks• 2001
400,000
GreatGraphs,Charts&TablesThatBui ldReal-LifeMathSkills
21
• pencil • two different colored pens or pencils
Completed graph should look like this:
4.5 4.0 S E 3.5 T E L 3.0 ) H T s n A i o l 2.5 l F i O m n2.0 i R ( E B 1.5 M U N .5
EXTENSION ACTIVITY This activity presents an ideal opportunity for essay writing or speaking activities. Ask students why they think the numbers
0 1971-72 1973-74
1975-76 1977-78 1979-80 1981-82 1 983-84 1985-86 1987-88
1989-90 1991-92
1993-94 1995-96
SCHOOL YEAR
have changed the way that they have over time. Ask students to predict where those numbers will go in the future. As a
1. girls
2. 1971–72 and 1973–74
4a. 1971–72
4b. 3,100,000
3. 1977–78 and 1979–80
5. 1,200,000
current events activity, have students look for newspaper clippings or other information on Title IX.
Name ______________________________________ _____________ Date ______________________
Sports Graphs Do Double Time Let’s play! Today, kids all over the country play many different sports. Check out our graph to see how the number of participants changed between 1971 and 1996. We’ve given you some numbers to fill in so have those colored pencils ready! Complete the graph by using the information in the box at the bottom of the page. Then answer the questions.
Participation in U.S. High School Athletics 4.5
Boys
4.0
Girls
S E 3.5 T E L 3.0 ) H T s n A o i l l 2.5 F i O m n2.0 i R ( E B 1.5 M U N .5
0 1971-72 1973-74
1975-76 1977-78
1979-80 1981-82 1983-84
1985-86 1987-88 1989-90 1991-92
1993-94 1995-96
SCHOOL YEAR
QUESTIONS 1. Which
group experienced the greatest increase from 1971 to 1996? ____________________________
2.
3.
1971–72
3,500,000
400,000
Between which two points on the graph did girls’ participation increase the most? _______________
1973–74
just under 4,000,000
1,400,000
1975–76
just over 4,000,000
1,700,000
Between which two points on the graph did boys’ participation decrease the most? _______________
1977–78
4,250,000
2,000,000
1979–80
3,500,000
1,800,000
1981–82
3,400,000
1,900,00
1983–84
3,300,000
1,800,000
1985–86
3,500,000
1,800,000
1987–88
3,400,000
1,900,000
1989–90
3,300,000
1,900,000
1991–92
3,450,000
2,000,000
1993–94
3,450,000
2,100,000
1995–96
3,600,000
2,400,000
4. a. In
which year was the difference in the number of girl participants and boy participants the greatest? __________________________________
b. How
much was the difference? ______________ __________________________________________
5.
GIRLS GETTING IN THE GAME Boys Girls
In 1995–96, about how many more boys participated in sports than girls? ________________________
Teacher’s Page
Smoking Stats
Learning Objective Students learn to use triple line graphs
What You’ll Need • Smoking Stats reproducible, page 23
DIRECTIONS 1.
2.
Distribute the Smoking Stats reproducible to students. Explain that they will be reading information presented in a triple line graph to compare the number of students who smoke in different grades. Review line graphs with students and remind them that line graphs are used to show changes over time. Explain to them that triple line graphs show changes over time for three different groups. In this case the graph is used to compare the smoking habits of 8th-, 10th-, and 12th-grade students.
Name___________________________________________________ Date______________________
Smoking Stats Smokeisnojoke,andourtriplelinegraphprovesit. Whatdo youthink aboutthe numbers yousee here?Read thesurprising truthabout students’smoking habitsand thenanswer the questions.
Teens Who Smoke (numbershave beenapproximatedfor graphingpurposes) 50 45 G N I K O M S S ) 0 N 0 E 1 E f o T t u F ( o O T N E C R E P
40 35 30 25 20 15 10 5 0 1991
1992
1993 YEARS
1 2th
d
1994
1995
12th grade 10th grade 8th grade
QUESTIONS 1. Whatisthe
increaseinthe percentageof8th-grade smokersfrom 1991to1995?___________________
2. Whatisthe
increaseinthe percentageof12th-grade smokersfrom1991 to1995?__________________
3. a. Which
groupshoweda decrease? __________________________________________________________
b. About
howbigwas thedecrease?__________________________________________________________
4. Aboutwhatis
thedifferencebetween thepercentageof 10th-gradesmokersand 12th-gradesmokers
in1994?___________________________________________________________________________________
3.
Before answering the questions, instruct students to look at the graph and talk about the changes that have taken place over time for all three groups.
about 5%
4. about 6%
ScholasticProfessionalBooks• 2001
greatestincreasefrom 1991to1995?___________________________________
GreatGraphs,Charts&TablesThatBui ldReal-LifeMathSkills
23
• pencil
A N S W E R S 1.
5. Whichgroupshowedthe
2. about 5.
5%
3a. 12th graders
3b.
about 2%
10th graders
EXTENSION ACTIVITY This activity is great for starting off a group discussion on a very important topic. It ties in easily with current events, health and science classes, and is a good opportunity for students to offer oral or written comments about kids and smoking. There are a number of statistics available from the American Heart Association, The Center for Tobacco-Free Kids, and many others. Have students gather statistics for their state and create a line graph for the grades at their school or schools in their community. Post it in the halls or the cafeteria.
Name ______________________________________ _____________ Date ______________________
Smoking Stats Smoke is no joke, and our triple line graph proves it. What do you think about the numbers you see here? Read the surprising truth about students’ smoking habits and then answer the questions.
Teens Who Smoke (numbers have been approximated for graphing purposes) 50 45 G N I K O M S S ) N 0 0 E 1 E f o T t u F ( o O T N E C R E P
40 35 30 25 20 15 10 5 0 1991
1992
1993 YEARS
1994
1995
12th grade 10th grade 8th grade
QUESTIONS 1. What
is the increase in the percentage of 8th-grade smokers from 1991 to 1995? ___________________
2. What
is the increase in the percentage of 12th-grade smokers from 1991 to 1995? __________________
3. a. Which
group showed a decrease? __________________________________________________________
b. About
how big was the decrease? ___________________________________________________ _______
4. About
what is the difference between the percentage of 10th-grade smokers and 12th-grade smokers
in 1994? ___________________________________________________________________________________ 5. Which
group showed the greatest increase from 1991 to 1995? ___________________________________
Teacher’s Page
Math Mileage
Learning Objective Students learn to read mileage tables
What You’ll Need • Math Mileage reproducible, page 25
DIRECTIONS 1.
Distribute the Math Mileage reproducible to students. Explain that they will be reading a mileage table showing the distance between major cities in the United States.
Name___________________________________________________ Date______________________
Math Mileage Roadtrip! Whereare yougoing andhow faraway isit? Mileagetableshold theanswer. Our tableshowsthe distancebetweensomemajorU.S.cities.Tofindthedistancebetweentwo cities,findthenameofthefirstcitydowntheleft-handsideofthe tableandlocatethesecond cityacrossthetopofthetable.Findoutwherethecolumnandrowmeet,andthere’syour answer.Sopackyourbags—andyourmath—andlet’shitthe road!
United States Mileage Table M N e u q r e u q u b l A
2. Review
table reading with students. Explain to them that it requires reading down and across at the same time. Explain the difference between a column and a row.
3.
Do an example for the students. Show them how they can use a ruler to keep the columns and rows straight. Also show students how they can drag their fingers across and down to find the intersection of the column and row that holds the answer to their mileage question.
A bl uq ue q r ue N M Atlanta GA
0 1407
Chicago IL
1335
Dallas TX Den ver C O Det or ti MI L os A gn el es C A M am i iF L
1 40 7 1 3 5 0 716
716 0
O C r e v n e D
X T s a l a D 6 46
4 39
792
1416
928
1011
1 58 5 732 286
A C s e l e g n A s o L 8 04 2211 2034
L F i m a i M
N M s i l o p a e n n i M
Y N k r o Y w e N
O M s i u o L . t S
1 96 3
12 2
2 02 0
1 03 8
661
1132
870
555
1377
409
821
297
T U y t i C e k a L t l a S 6 04 1882 1403
A C o c s i c n a r F n a S
A W e l t t a e S
1 10 1 1 43 3 2508 2148
2673 2072
C D , n o t g n i h s a W 1 88 5 632 715
646
792
928
780
1211
1447
1317
934
1565
631
1240
1747
2078
1326
14 16
10 1
78 0
0
1 274
1 023
2 07 7
9 20
1 0 8 9
86 1
5 2 1
1 257
1 303
1 700
7 32
2 86
1 1 2 1
1 274
0
2 297
1 38 9
6 96
64 0
54 7
1 66
2 411
2 359
5 4 3
0
2 75 2
1 94 3
2 82 4
1 84 2
68
3 80
1 15 1
2 68 9
8 04
1 22 2 2 020
St. Louis MO
1038
2 21 1 2 03 4 6 61 1 13 2
13 7 4 09
0
I M t i o r t e D
4 9 3
Ne wYo kr NY
1 44 7 1 02 3 2 29 7 1 1 3 7
2 077
9 34
9 20
1 565
1 809
1 389 6 96
2 752
0
1 94 3 1 79 3
0
1 23 1
2 543
3 131
1 052
1 31 2 2 05 7 1 11 7
1 043 1 12 5
2 824
98 2
2 201
2 946
2 894
861
547
1842
1216
619
982
0
1327
2072
2118
845
5 12
1 66 6
68
2 54 3
1 31 2
2 20 1
1 32 7
0
7 45
8 28
2 09 5
2 50 8 2 14 8
1 74 7 1 25 7 2 41 1
3 80
3 13 1
2 05 7
2 94 6
2 07 2
7 45
0
8 20
2 84 0
1 433
26 73
20 72
2 7 0 8 1 303
2 359
1 151
1 05 2
11 17
2 9 8 4
2 1 8
8 8 2
8 0 2
0
2 788
1885
632
715
534
2689
1043
1125
237
845
2095
2840
2788
0
1 10 1
Sea tlt eWA
1326
1700
0
6 19
6 0 4
631 1 24 0
S an F ar nc si co C A
12 31
1 8 2 1 1 1 2 6
82 1 297
6 04
1 28 1
17 93
8 70 555
1 8 2 1 40 3
S al t aL ke Ci yt U T
Washington,DC
L I o g a c i h C
1 585
1 963
M ni ne ap ol si M N
A G a t n a l t A
2 7 3
QUESTIONS 1. Whatisthe 2. What
distancebetweenDenver,Colorado,and Minneapolis,Minnesota?____________________
isthedistancebetween Albuquerque, NewMexico, andAtlanta, Georgia?___________________
3. Whatis
thedistancebetween Washington,DC,and SanFrancisco,California? ____________________
4. What
isthelargest distancebetween two cities?_______________________________________________
5. What
is the shortestdistance between twocities? ______________________________________________
6.
Howmuch greateristhe distancebetweenNewYork, NewYork, andLosAngeles, California, thanthe distancebetweenSt.Louis, Missouri,andSaltLake City,Utah?___________________________________
7. a. Whichis
greater, the distancebetween Miami, Florida, and Chicago, Illinois,or the distance
betweenSeattle, Washington, andDetroit, Michigan? ________________________________________ b.
Howmuch greateris thedistance?_________________________________________________________
ScholasticProfessionalBooks• 2001
GreatGraphs,Charts&TablesThatBui ldReal-LifeMathSkills
25
• pencil • ruler (if necessary)
A N S W E R S
920 miles
2. 1407 miles
3. 2840 miles
5. 237 miles
6. 1497 miles
7a. Seattle
1.
7b. 982
4.
2946 miles
and Detroit
miles
EXTENSION ACTIVITIES Point out to students that the cities listed are the same on both sides of the table. Ask them if it works “both ways” to check the distance between any two cities. Ask students to choose several locations close or far away from the town in which you’re located and make a local mileage table. As a cultural or map exercise, ask students to make a mileage table showing the distances between major cities in South America, Africa, Asia, Australia, or Europe.
Name ______________________________________ _____________ Date ______________________
Math Mileage Road trip! Where are you going and how far away is it? Mileage tables hold the answer. Our table shows the distance between some major U.S. cities. To find the distance between two cities, find the name of the first city down the left-hand side of the table and locate the second city across the top of the table. Find out where the column and row meet, and there’s your answer. So pack your bags—and your math—and let’s hit the road!
United States Mileage Table M N e u q r e u q u b l A Albuquerque NM
A G a t n a l t A
L I o g a c i h C
X T s a l a D
O C r e v n e D
I M t i o r t e D
A C s e l e g n A s o L
L F i m a i M
N M s i l o p a e n n i M
Y N k r o Y w e N
O M s i u o L . t S
T U y t i C e k a L t l a S
A C o c s i c n a r F n a S
A W e l t t a e S
C D , n o t g n i h s a W
0
1407
1335
646
439
1585
804
1963
1222
2020
1038
604
1101
1433
1885
Atlanta GA
1407
0
716
792
1416
732
2211
661
1132
870
555
1882
2508
2673
632
Chicago IL
1335
716
0
928
1011
286
2034
1377
409
821
297
1403
2148
2072
715
Dallas TX
646
792
928
0
780
1211
1447
1317
934
1565
631
1240
1747
2078
1326
Denver CO
439
1416
1011
780
0
1274
1023
2077
920
1809
861
512
1257
1303
1700
Detroit MI
1585
732
286
1211
1274
0
2297
1389
696
640
547
1666
2411
2359
534
804
2211
2034
1447
1023
2297
0
2752
1943
2824
1842
688
380
1151
2689
Miami FL
1963
661
1377
1317
2077
1389
2752
0
1793
1281
1216
2543
3131
1052
1043
Minneapolis MN
1222
1132
409
934
920
696
1943
1793
0
1231
619
1312
2057
1117
1125
New York NY
2020
870
821
1565
1809
640
2824
1281
1231
0
982
2201
2946
2894
237
St. Louis MO
1038
555
297
631
861
547
1842
1216
619
982
0
1327
2072
2118
845
Salt Lake City UT
604
1882
1403
1240
512
1666
688
2543
1312
2201
1327
0
745
828
2095
San Francisco CA
1101
2508
2148
1747
1257
2411
380
3131
2057
2946
2072
745
0
820
2840
Seattle WA
1433
2673
2072
2078
1303
2359
1151
1052
1117
2894
2118
828
820
0
2788
1885
632
715
1326
1700
534
2689
1043
1125
237
845
2095
2840
2788
0
Los Angeles CA
Washington, DC
QUESTIONS 1. What
is the distance between Denver, Colorado, and Minneapolis, Minnesota? ____________________
2. What
is the distance between Albuquerque, New Mexico, and Atlanta, Georgia? ___________________
3. What
is the distance between Washington, DC, and San Francisco, California? ____________________
4. What
is the largest distance between two cities? ___________ ____________________________________
5. What
is the shortest distance between two cities? ______________________________________________
6.
How much greater is the distance between New York, New York, and Los Angeles, California, than the distance between St. Louis, Missouri, and Salt Lake City, Utah?___________________________________
7. a. Which
is greater, the distance between Miami, Florida, and Chicago, Illinois, or the distance
between Seattle, Washington, and Detroit, Michigan? _______________________________________ _ b.
How much greater is the distance? _________________________________________________________
Teacher’s Page
Dinosaurs on the Map
Learning Objective Students learn to read standard map grids
What You’ll Need • Dinosaurs on the Map reproducible, page 27
DIRECTIONS 1. Distribute
the Dinosaurs on the Map reproducible to students. Explain that they will be using map grids to locate dinosaur fossils discovered in the United States.
Name___________________________________________________ Date______________________
Dinosaurs on the Map Thismap isout ofDino-sight! Usethemapindexatthebottomofthepageandthe coordinates heretolocatetheremainsofsomebigbonesdiscovere dintheUnitedStates.Tofindafossildiscoverylocationusingtheseletterandnumbercoordinates,firstfindtherow thattheletterrepresents.Thenfindthecolumnthatthenumberrepresents. Whenyoufindthesquarewherethat rowandcolumnintersect,writ edownthenameofthefossilfoundthere.
Dig It? 1
2.
3.
4.
Review mapping with students and explain that the letter-number combination is used to provide directions. Be sure they remember the difference between a column and a row. Instruct students to look at the map while you give an example of how to find locations using the coordinates. Show how students they can use the “drag the finger” method to locate the square where the row and column indicated by the coordinate intersect. Give students a few minutes to familiarize themselves with the map. Then they can use the map index at the bottom of the page to answer the questions.
Completed map should look like this:
A
2
3
4
5
6
7
8
9
10
11
TYRANNOSAURUS NorthDakota
Washington
Montana
Minnesota New Hampshire Vermont
SouthDakota
B
Oregon
Wyoming
HADROSAURUS
Iowa
Colorado
Indiana
Kansas
West Virginia
Missouri
Arizona
Kentucky
BRACHIOSAURUS
Oklahoma
Virginia NorthCarolina
Tennessee
Arkansas
New Mexico Alabama
South Carolina Georgia
E F
Texas
Mississippi Louisiana
TENONTOSAURUS
RhodeIsland Connecticut
Ohio
STEGOSAURUS California
Massachusetts Pennsylvania
Illinois
Utah
D
New York
Michigan
Nebraska
Nevada
Maine
Wisconsin
TRICERATOPS
Idaho
APATOSAURUS
C
3
Washington
4
5
6
7
8
9
10
11
NorthDakota
Montana
Minnesota NewHampshire Vermont
SouthDakota
B
Oregon
Idaho
Wyoming
NewYork
Iowa
Massachusetts
Michigan
Nebraska
Pennsylvania Illinois
Colorado
C
Nevada
D
California
West Virginia
Missouri Kentucky Oklahoma
Arkansas
RhodeIsland Connecticut
Ohio Indiana
Kansas Utah
Arizona
Maine
Wisconsin
Virginia
Alabama
NewJersey Delaware Maryland
NorthCarolina
Tennessee
NewMexico
South Carolina Georgia
E
Texas
Mississippi Louisiana
F
Florida
MAP INDE X A pa to sa ur u s . . . . . . . . . . . . . . . . C - 3 A st ro do n . . . . . . . . . . . . . . . . . . . C -9 B r ac hoi s au r us . . . . . . . . . . . . . . . C - 4 H ad ro sa ur us . . . . . . . . . . . . . . . . C - 10 L o ph o rh o h t on..... ... ... ... .E-8 S te go sa ur us . . . . . . . . . . . . . . . . . D - 6 T en o nt o sa u ru s . . . . . . . . . . . . . . . E - 5 T ri ce ra to ps . . . . . . . . . . . . . . . . . . B - 5 T yr a nn o as u r us . . . . . . . . . . . . . . . A - 4
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EXTENSION ACTIVITIES
A N S W E R S
1
A
2
LOPHORHOTHON
Florida
New Jersey Delaware Maryland
ASTRODON
Dinosaurs are a favorite with kids. This activity provides ample opportunity for crossover teaching in science. Have students write reports on the dinosaurs they’ve located on the map. Students can do a little archaeology research on the World Wide Web or in the library, and find the location of even more dinosaur fossil discoveries to map on their own or as a group. This also can be done with fossils or other archaeological discoveries in different parts of the world for a more challenging and culturally stimulating mapping exercise. If a nearby museum has any dinosaur fossils on display, there is likely a map there. A field trip could be mathematically and scientifically beneficial.
Name ______________________________________ _____________ Date ______________________
Dinosaurs on the Map This map is out of dino-sight! Use the map index at the bottom of the page and the coordinates here to locate the remains of some big bones discovered in the United States. To find a fossil discovery location using these letter and number coordinates, first find the row that the letter represents. Then find the column that the number represents. When you find the square where that row and column intersect, write down the name of the fossil found there.
Dig It? 1
A
2
3
4
5
6
7
8
9
10
11
North Dakota
Washington
Montana
Minnesota New Hampshire South Dakota
B
Oregon
Idaho
Wyoming
Vermont
Wisconsin
New York
Iowa
Massachusetts
Michigan
Nebraska
C
Pennsylvania Illinois
Colorado Nevada
West Virginia
Missouri Kentucky
California
D
Oklahoma Arizona
Arkansas
Virginia North Carolina
Tennessee
New Mexico Alabama
South Carolina Georgia
E
Texas
Mississippi Louisiana
Florida
F
M A P I ND E X Apatosaurus . . . . . . . . . . . . . . . . C-3 Astrodon . . . . . . . . . . . . . . . . . . . C-9 Brachiosaurus . . . . . . . . . . . . . . . C-4 Hadrosaurus . . . . . . . . . . . . . . . . C-10 Lophorhothon . . . . . . . . . . . . . . . E-8 Stegosaurus . . . . . . . . . . . . . . . . . D-6 Tenontosaurus. . . . . . . . . . . . . . . E-5 Triceratops. . . . . . . . . . . . . . . . . . B-5 Tyrannosaurus . . . . . . . . . . . . . . . A-4
Rhode Island Connecticut
Ohio Indiana
Kansas Utah
Maine
New Jersey Delaware Maryland
Teacher’s Page
Coordinate Math Mapping
Learning Objective Students work with coordinate mapping
What You’ll Need • Coordinate Math Mapping reproducible, page 29
DIRECTIONS 1. Distribute
the Coordinate Math Mapping reproducible to students. Explain that they will be using coordinate mapping to locate the wackiest museums in the United States.
Name___________________________________________________ Date______________________
Coordinate Math Mapping TheMuseum ofBad Art? AWater SkiMuseum? Fieldtrips werenever likethis, werethey? Usecoordin atemappingtolocatesomeofthecountry’swackiest museums.Readthecoordinatesandthenwritethenameofthemuseuminitslocationon themap.
United States 4
2.
Review map reading in general and coordinate mapping specifically with students. Discuss the difference between the x -axis and the y -axis.
Washington
Minnesota
NorthDakota
Montana
NewHampshire
3
Vermont
Wisconsin
Maine
SouthDakota Idaho
Oregon
2 Wyoming
Michigan
Iowa
NewYork
Mass chus tts
Nebraska Pennsylvania
1 Illinois
Utah
Nevada
Colorado
Missouri
Kansas
Indiana
Ohio
3 Kentucky
4
0 -9
-8
-7
–6
–5
–4
–3
California NewMexico
–2
–1
1
–1 Oklahoma
Arizona
2
Arkansas
–2
West Virginia ’
Texas
7 Maryland
8
9
NorthCarolina
Tennessee
Mississippi
5 6 Virginia
Rh Is l n Connecticut NewJersey Delaware
South Carolina Alabama
Georgia –3 Louisiana -4 Florida
3.
Explain to students how to read a coordinate pair. The first number of a coordinate pair tells you where to move on the x -axis. Positive numbers move to the right of 0, negative numbers move to the left. The second number of a coordinate pair tells you where to move along the y -axis. Positive numbers move up from 0, negative numbers move down.
4. Encourage
-5
MAP INDE X M us eu m of B a d Ar t . . . . . . . . . . . . . . . . . . . . . . . . . ( 8, 1 5 . ) I n te r na toi n alU . F. O . Mu s eu m . . . . . . . . . . . . . . . . . . ( – 3, – 2) WaterSki Museum . .. .. .. .. .. .. .. .. .. .. .. .. .(5, – 5) GeneralPetroleumGasStationMuseum .. .. .. .. .( – 8 ,4) D a ko t a Dni o sa u r M us e um . . . . . . . . . . . . . . . . . . . ( – 1, 3 . 5 ) B ow li ng H a ll o f F am e. . . . . . . . . . . . . . . . . . . . . . . . . . ( 1, 0 )
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students to look at the map before they answer
questions.
. A N S W E R S
Completed map should look like this:
EXTENSION ACTIVITY
United States
Have students create a list of interesting
4 Washington
Minnesota
NorthDakota
Montana
places they’ve visited nearby or far away,
New Hampshire
3
Vermont
Wisconsin
Maine
South Dakota Idaho
Oregon
2 Wyoming
Michigan
Iowa
New York Pennsylvania
1 Utah
Nevada
Colorado
Illinois
Indiana
Missouri
Kansas
-8
-7
–6
–5
–4
–3
–2
–1
1
2
3
Connect New Jersey Delaware
Ohio
0 -9
4
West Virginia’5
California
Oklahoma
Arkansas
Arizona
–2
North Carolina
Tennessee
New Mexico
Mississippi
Texas
6 Virginia
Kentucky
–1
such as parks, museums, cities, and
Ma
Nebraska
South Carolina Alabama
Georgia
–3
7 Maryland
8
restaurants. Ask students to locate these 9
places on a map or create their own map. They then can assign coordinates to the various locations, swap maps with a class-
Louisiana
-4 Florida
-5
mate, and send each other on a “trip” to locate the sites.
Name ______________________________________ _____________ Date ______________________
Coordinate Math Mapping The Museum of Bad Art? A Water Ski Museum? Field trips were never like this, were they? Use coordinate mapping to locate some of the country’s wackiest museums. Read the coordinates and then write the name of the museum in its location on the map.
United States 4 Washington
Minnesota
North Dakota
Montana
New Hampshire
3
Vermont
Wisconsin
Maine
South Dakota Idaho
Oregon
2 Wyoming
Michigan
Iowa
NewYork
Massachusetts
Nebraska Pennsylvania
1 Illinois
Utah
Nevada
Colorado
Indiana
Missouri
Kansas
Ohio
0 -9
-8
-7
–6
–5
–4
–3
–2
–1
1
2
3
4
West Virginia
5 Virginia
Kentucky
–1 California New Mexico
Oklahoma
Arizona
Arkansas
–2
North Carolina
Tennessee
Mississippi
Texas
South Carolina Alabama
Georgia
–3 Louisiana
-4 Florida
-5
M A P I ND E X Museum of Bad Art . . . . . . . . . . . . . . . . . . . . . . . . . (8, 1.5) International U.F.O. Museum . . . . . . . . . . . . . . . . . . ( – 3, – 2) Water Ski Museum . . . . . . . . . . . . . . . . . . . . . . . . . . (5, – 5) General Petroleum Gas Station Museum . . . . . . . . . ( – 8, 4) Dakota Dinosaur Museum . . . . . . . . . . . . . . . . . . . (–1, 3.5) Bowling Hall of Fame . . . . . . . . . . . . . . . . . . . . . . . . . . (1, 0)
6
Rhode Island Connecticut New Jersey Delaware
7 Maryland
8
9
Teacher’s Page
Picto-Players
Learning Objective Students learn to use pictographs
What You’ll Need • Picto-Players reproducible, page 31
DIRECTIONS 1.
2.
Distribute the Picto-Players reproducible to students. Explain that they will be using pictographs to answer questions about some favorite sports kids their age like to play.
Name___________________________________________________ Date______________________
Picto-Players Canyoupicturewhatkindofsportsyoumightwanttoplayafterschooltodayoroverthis weekend? Canyoupicto-graphit?Nowyoucan,withourpictographthatshowsthefavorite sportsofkidsjustlikeyou.Howmanykidsliketo playwhat? Addit upusingourkeyandanswer thequestions.
Top Five Favorite Sports to Play = 10 kids
Review pictographs with students, explaining that pictographs use pictures or symbols to represent a certain number of things.
= 5 kids
Baseball Basketball Football Gymnastics
3. Explain
to students that when answering questions using a pictograph, they should count the number of symbols. Then they should add up—or multiply—that number according to the number given in the key.
Soccer
QUESTIONS 1. 2.
Encourage students to look at the chart before answering the questions.
Which sport isthefavoriteof themost kids?__________________________________________________ sport isthefavoriteofthe fewest kids?__________________________________________________
4.
Howmanykids saybasketballis theirfavoritesport toplay?_____________________________________
5.
Ifyouaddthenumberkidswhosayfootb allistheirfavorit esporttothenumberofkidswhosaybaseballistheirfavoritesport,whatnumberdoyou get?________________________________________
6.
4.
Gymnasticsisthefavorite sportofhow manykids?_____________________________________________
3. Which
Howmanypictures wouldrepresenttheanswer yougot inquestion5? ___________________________
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• pencil • scratch paper or calculator
A N S W E R S 1.
40
2.
soccer
3. gymnastics
4.
155
5. 340
6.
34
EXTENSION ACTIVITIES Students can have lots of fun devising their own pictographs, which can be used to show numbers of a variety of things. For example, if your school has an end-ofthe-year picnic, students can find out how many hamburgers, hot dogs, bags of chips, and so forth, will be provided, then create pictographs to represent those numbers. Symbols also may be “stacked” as if they were on a graph. Have students rearrange the pictograph given so the categories (such as baseball) run across the bottom of the graph and the symbols are stacked vertically above each category. As an art extension, have students create their own symbols.
Name ______________________________________ _____________ Date ______________________
Picto-Players Can you picture what kind of sports you might want to play after school today or over this weekend? Can you picto-graph it? Now you can, with our pictograph that shows the favorite sports of kids just like you. How many kids like to play what? Add it up using our key and answer the questions.
Top Five Favorite Sports to Play = 10 kids
= 5 kids
Baseball Basketball Football Gymnastics Soccer
QUESTIONS 1.
Gymnastics is the favorite sport of how many kids? _____________________________________________
2.
Which sport is the favorite of the most kids? __________________________________________________
3. Which
sport is the favorite of the fewest kids? __________________________________________________
4.
How many kids say basketball is their favorite sport to play? _______________ ______________________
5.
If you add the number kids who say football is their favorite sport to the number of kids who say baseball is their favorite sport, what number do you get? ________________________________________
6.
How many pictures would represent the answer you got in question 5? ___________________________
Teacher’s Page
Shopping for Math
Learning Objective Students learn to read for detail using food labels
What You’ll Need • Shopping for Math reproducible, page 33
DIRECTIONS 1.
Distribute the Shopping for Math reproducible to students. Explain that they will be reading for detail by looking at food labels.
Name___________________________________________________ Date______________________
Shopping for Math Mmmmmmm...What’scookin’? Math!Evertaketimeto lookatthelabelsonthepackagesof foodin yourhouse orat thegrocery store?Well, we’vemade iteasy foryou. Readthe labelhere andanswer thequestions.
Soup’s On! NutritionFacts Servingsize:1cup(242g) Servingspercontainer:about2 Amountperserving C al o ire s: 1 3 0 C aol rei s f o r m f at : 3 5
2. Talk
about food labels with students. Before they look at the reproducible, have the class brainstorm the kinds of information they think can be found on food labels. Ask them if they ever look at food labels at home or in the grocery store.
Total Fat 4g S at ur at ed F at 1 5. g C ho el st er ol 2 5m g Sodium 780mg Tota lCarbohydrate13g Di eta yr Fi ber 3g Sugars4g Protein10g Vitamin A Calcium Vitamin C Iron
(%)DailyValue 6% 8% 8% 33% 4% 1 2%
30% 4% 0% 10%
Key: g=grams mg= milligrams
QUESTIONS
3.
Instruct students to answer the questions.
1.
Howmany gramsare ineach serving?_______________________________________________________
2.
Howmany caloriesfromfat arein each serving?_______________________________________________
3.
Howmany milligramsofcholesterolare ineach serving?_______________________________________
4. Whatpercentage 5.
ofthe dailyvalue ofvitamin Ais ineach serving?_____________________________
Howmanygrams ofdietaryfiber areineach serving?___________________________________________
6. Whatpercentageof 7. Abouthowmany 8.
dietaryfiberis ineach serving?____________________________________________
caloriesare thereinthe wholecontainer?_____________________________________
Howmanygrams ofsugars andprotein,addedtogether, arein eachserving?______________________
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A N S W E R S 1.
242
2. 35 3. 25 4.
30%
5.
3
6. 12% 7.
about 260
8. 14
• pencil
EXTENSION ACTIVITIES Students can bring food labels from home and compare the statistics they find there. To extend this activity to much larger amounts, labels from bulk food packaging could be obtained from the cafeteria. The percentage of daily value statistic can help teach percents, fractions, and decimals. The serving size is often a fraction; asking students to find the total amount of food in a package can be a way to teach multiplying fractions. Servings are often given in grams as well, and present an ideal way to talk about metrics and do some basic conversions. The nutritive values of various foods can be a good discussion for science or health class.
Name ______________________________________ _____________ Date ______________________
Shopping for Math Mmmmmmm...What’s cookin’? Math! Ever take time to look at the labels on the packages of food in your house or at the grocery store? Well, we’ve made it easy for you. Read the label here and answer the questions.
Soup’s On! Nutrition Facts Serving size: 1 cup (242g) Servings per container: about 2 Amount per serving Calories: 130 Calories from fat: 35
Total Fat 4g Saturated Fat 1.5g Cholesterol 25mg Sodium 780mg Total Carbohydrate 13g Dietary Fiber 3g Sugars 4g Protein 10g Vitamin A Calcium Vitamin C Iron
(%) Daily Value 6% 8% 8% 33% 4% 12%
30% 4% 0% 10%
Key: g = grams mg = milligrams
QUESTIONS 1.
How many grams are in each serving? _______________________________________________________
2.
How many calories from fat are in each serving? _______________________________________________
3.
How many milligrams of cholesterol are in each serving? _______________________________________
4. What 5.
percentage of the daily value of vitamin A is in each serving? _____________________________
How many grams of dietary fiber are in each serving? ___________________________________ ________
6. What
percentage of dietary fiber is in each serving? __________________________________________ __
7. About 8.
how many calories are there in the whole container? _____________________________________
How many grams of sugars and protein, added together, are in each serving? __________________ ____
Teacher’s Page
Math-in-a-Box
Learning Objective Students learn to read box scores
What You’ll Need DIRECTIONS 1.
Distribute the Math-in-a-Box reproducible to students. Explain that they will be reading for detail by looking at a box score.
• Math-in-a-Box reproducible, page 35 Name___________________________________________________ Date______________________
Math-in-a-Box Sheshoots ,shescores! Howmanypointsisthat?Whogot thatlastrebound?What’s goingon here?Keeptrackofthe scoreandmoreusingchartsliketheonebelow.Readthechartand answerthequestions.Lookatthe keyifyouneedhelp.
2. Review
chart reading with students and remind them that when a lot of information is being presented, many of the important statistics may be abbreviated.
Chicago Bulls-in-the-Box BULLS STATISTICS P LAYE R
Mi nute s played
Pippen
43
over the box score on page 35 with students and draw their attention to the key that explains the abbreviations used.
6
17
3P 3P made attempte d
FT made
0
1
1
4
0
0
0
0
3
Harper
18
1
4
0
1
0
0
3
2
J or da n
44
15
35
1
8
10
11
39
Williams
23
2
5
0
0
0
7
4
1
1
2
4
4
9
2
2
2
1
9
25
3
6
Kerr
2 5
3
5
KEY FG= 3P= FT= RB =
F ei dl Goa l 3 -p oi nt F ei dl G oa l F er e Thr ow Reb ou nd
1
2
9
T ot al
4
0
0
12
RB points
4
0
14
4
10
FT attempted
1
33
L on gl ey
Kukoc
3. Go
FG FG made attempted
Rodman
11
23 1 0
QUESTIONS
4. It
is very important to remind students that they do not have to understand what a particular item is—free throw, for example— to be able to locate the information on the chart.
1.
Howmanyminutesdid Kukocplay?__________________________________________________________
2.
Howmanyfree throwsdidPippenattempt? ___________________________________________________
3.
Howmanymore fieldgoalsdid JordanattemptthanPippen?____________________________________
4. Whichisgreater: 5. a. Howmany b.
6. a. Ofall b. 7.
totalpointsscoredby KukocandPippentogether orJordan’stotalpoints?_________
freethrowsdid Rodmanattempt?________________________________________________
Howmany didhemake?__________________________________________________________________ theplayers,how many3-pointfieldg oalswerea ttempted?_______________________________
Howmany weremade? ___________________________________________________________________
Howmany pointswere scoredall together?___________________________________________________
ScholasticProfessionalBooks• 2001
students to familiarize themselves with the chart before answering the questions.
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5. Ask
• pencil
A N S W E R S 1.
25
5a.
2
2. 12 5b. 1
3.
18
6a.
13
4.
Jordan’s total points
6b. 4
7. 87
EXTENSION ACTIVITY Box scores can be found in almost any newspaper on almost any day. Box scores vary for different sports, so there is a wide variety of keys and formats to choose from. Students can bring in box scores from the paper or create ones on their own based on the performance of their own team or teams at school.
Name ______________________________________ _____________ Date ______________________
Math-in-a-Box She shoots, she scores! How many points is that? Who got that last rebound? What’s going on here? Keep track of the score and more using charts like the one below. Read the chart and answer the questions. Look at the key if you need help.
Chicago Bulls-in-the-Box BULLS STATISTICS PLAYER
Minutes played
FG made
FG attempted
3P made
3P attempted
FT made
FT attempted
RB points
Total
Pippen
43
6
17
1
4
10
12
9
23
Rodman
33
0
4
0
1
1
2
11
1
Longley
14
0
4
0
0
0
0
3
0
Harper
18
1
4
0
1
0
0
3
2
Jordan
44
15
35
1
4
8
10
11
39
Williams
23
2
5
0
0
0
0
7
4
Kukoc
25
3
6
1
1
2
4
4
9
Kerr
25
3
5
1
2
2
2
1
9
KEY FG = 3P = FT = RB =
Field Goal 3-point Field Goal Free Throw Rebound
QUESTIONS 1.
How many minutes did Kukoc play? ____________________________________________ ______________
2.
How many free throws did Pippen attempt? ______________________________________ _____________
3.
How many more field goals did Jordan attempt than Pippen? ____________________________ ________
4. Which
is greater: total points scored by Kukoc and Pippen together or Jordan’s total points? _________
5. a. How many free throws did Rodman attempt? ____________________ ____________________________ b.
How many did he make?__________________________________________________________________
6. a.
Of all the players, how many 3-point field goals were attempted?_______________________________
b. 7.
How many were made? ________________________________________ ___________________________
How many points were scored all together? ___________________________________________________
Teacher’s Page
Mutt Math
Learning Objective Students read a point chart
What You’ll Need
• Mutt Math reproducible, page 37
DIRECTIONS 1. Distribute
the Mutt Math reproducible to students. Explain that they will be reading for detail by looking at the point chart used to score dogs in a dog show.
Name___________________________________________________ Date______________________
Mutt Math Thesedogs arehardly mutts,butthey canstilldo muttmath. Canyou?Dogsearnpoints at a show,buthowmanydependsonthenumberofdogsthatshowup!Readthechartandanswer thequestions.Thenamesofthebreedsarelistedontheleft.Thenumberofpointsa dogcan earnina showislistedacrossthetop.For adogto earnthenumberofpoints yousee listed,at leastthatmanymale(M)orfemale(F)dogsmusthavecompeted.
Dog Show Point Chart Breed
2. Review
chart reading with students, and remind them that reading the question carefully first can make locating the information they need to answer the question much simpler.
3. Go over the Dog Show Point Chart with students. Explain that M
and F stand for male and female, and that the number of points a dog earns in a show depends on the number of dogs competing. The minimum number of male or female dogs that must compete in each point category is listed next to the name of each breed. an example with students. For example: A Brittany that wins over eight other male Brittanys, earns three points.
1
M
pt.
2
pts.
3
pts.
4
pts.
5
pts.
F
M
F
M
F
M
F
M
F
Brittanys
2
2
4
6
7
10
10
16
16
26
Pointers
2
2
3
3
5
5
6
6
8
9
Collies
2
2
6
7
11
13
19
21
34
36
Huskies
3
3
8
11
14
20
20
28
31
43
St. Bernards
2
2
4
4
7
7
10
11
16
17
Chow Chows
2
2
4
4
6
6
7
7
9
9
QUESTIONS 1. Whichbreedhas 2.
thesamepoint requirementsformale andfemale dogs?________________________
Ifa female Brittanywinsashow andtherearefiveotherfemaleBrittanysintheshow,howmany pointsdoesthe dogearn? _____________________________
3.
Howmanypointsdoes afemaleChow Chowearnif shewinsagainst eightotherfemales?___________
4.
Howmanymore femaleHuskiesthanmale havetocompete fora dogtowinfivepoints?___________
5. a. AfemaleSt.
Bernardwins against16other females.Howmany pointsdoesshe win?_____________
b. Howmanymales 6. a. H ow
wouldhaveto competeforthe dogtoea rnthatnumber ofpoints?_____________
m a ny m o re m a el C o l l e i s t h a n P o in t er s a r e r e q u ri e d t o c o m p et e f o r a d o g t o e a r n t w o
points?______________ b. Threepoints?______________
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4. Do
5. Instruct students to familiarize themselves with the chart before
answering the questions. A N S W E R S 1. Chow Chows
2. 2
3. 5
4. 12
5a. 5
5b. 16
6a. 3
6b. 6
EXTENSION ACTIVITIES
The American Kennel Club can provide a great deal of scoring. Have the class watch the Westminster Kennel Club show together and follow along with pad and paper as the show is scored. Find out if any students or their friends have ever shown their dog in competition. There are also cat shows, and researching those scoring techniques provides a completely different set of information and a whole new activity.
Name ______________________________________ _____________ Date ______________________
Mutt Math These dogs are hardly mutts, but they can still do mutt math. Can you? Dogs earn points at a show, but how many depends on the number of dogs that show up! Read the chart and answer the questions. The names of the breeds are listed on the left. The number of points a dog can earn in a show is listed across the top. For a dog to earn the number of points you see listed, at least that many male (M) or female (F) dogs must have competed.
Dog Show Point Chart Breed
1
pt.
2
pts.
3
pts.
4
pts.
5
pts.
M
F
M
F
M
F
M
F
M
F
Brittanys
2
2
4
6
7
10
10
16
16
26
Pointers
2
2
3
3
5
5
6
6
8
9
Collies
2
2
6
7
11
13
19
21
34
36
Huskies
3
3
8
11
14
20
20
28
31
43
St. Bernards
2
2
4
4
7
7
10
11
16
17
Chow Chows
2
2
4
4
6
6
7
7
9
9
QUESTIONS 1. Which breed has the same point requirements for male and female dogs? ________________________ 2.
If a female Brittany wins a show and there are five other female Brittanys in the show, how many points does the dog earn? _____________________________
3.
How many points does a female Chow Chow earn if she wins against eight other females? ___________
4.
How many more female Huskies than male have to compete for a dog to win five points? ___________
5. a. A female St. Bernard wins against 16 other females. How many points does she win? _____________ b. How many males would have to compete for 6. a. How
the dog to earn that number of points? _____________
many more male Collies than Pointers are required to compete for a dog to earn two
points? ______________ b. Three points? ______________
Teacher’s Page
Tune In to Schedules
Learning Objective Students work with on-air time schedules
What You’ll Need
• Tune In to Schedules reproducible, page 39
DIRECTIONS 1. Distribute
the Tune In to Schedules reproducible to students. Explain that they will be reading for detail using a time schedule from a radio station.
Name___________________________________________________ Date______________________
Tune In to Schedules Mathis hittingtheairwaves withsomeserious scheduling!Readthefollowinghourclockused bya radiostationtokeeptrackof songs, weather,andallsortsof stuff! Thekey belowexplains theabbreviations we’veused. Rememberthat thisschedule repeatsevery hour.
Radio Time HourClockfor8:00 A . M . t o 2 : 0 0 P. M . (schedulerepeatsevery hour)
2. Review
time with students, and remind them that this schedule repeats every hour, which is why they do not see any numbers in the “hour” column. They will only see numbers that represent minutes past the hour.
3. Look
over the schedule with students and answer any questions. Discuss the definitions of station I.D., testimonial, Public Service Announcement, C-Note that are found in the key.
: 00
S ta ti on I . D.
: 01
T hr ee s on gs
: 12
S ta ti on I . D.
:13
Song
: 15
S ta ti on I . D.
:16
Song
: 18
W ea th er a n d PS A
:19
Song
: 23
S ta ti on I . D.
:24
Song
:27
T es tm i o nia l
:28
Song
: 30
S ta ti on I . D.
:31
Song
: 34
S ta ti on I . D.
:35
Song
: 38
S ta ti on I . D.
:39
Song
: 42
S ta ti on I . D.
:43
Song
: 46
C -N ot e
:47
Song
:50
T es tm i o nia l
:51
Song
: 54
S ta ti on I . D.
:55
Song
:58
2 - min ut e n e ws b r i e f
QUESTIONS 1.
Howmanysongs areplayedeach hour?_____________
2.
How many minutes past the hour is the first testimonial?_____________________________________
3.
Howmanypublicservice announcementsarethere each hour? ______________________________________
4. Afterthe
firststation I.D.,about howmany minutes
untiltheweatheris reported?______________________ 5.
Howmanyminute sare betweentheC-noteandthe newsbrief? ______________________________________
Key StationI.D.:Tellslisteners thestation they’relisteningto C-Note:Informationabout anupcoming event PSA:Public ServiceAnnouncement Testimonial:Recordingofa listenertalking aboutwhy theylike thestation 39 ScholasticProfessionalBooks• 2001
students to look over the schedule and the key, before they answer the questions.
GreatGraphs,Charts&TablesThatBui ldReal-LifeMathSkills
4. Instruct
• pencil
A N S W E R S 1. 15
2. 27
3. 1
4. 18
5. 12
EXTENSION ACTIVITIES
A visit to a local radio station or an in-class visit from a local radio personality could be a fun way to enhance this math activity. If a trip or visit isn’t possible, a local radio or television station would very likely fax you their schedule to use in class. Schedules often vary depending on the time of day or day of week, so a wide variety of activities is possible.
Name ______________________________________ _____________ Date ______________________
Tune In to Schedules Math is hitting the airwaves with some serious scheduling! Read the following hour clock used by a radio station to keep track of songs, weather, and all sorts of stuff! The key below explains the abbreviations we’ve used. Remember that this schedule repeats every hour.
Radio Time Hour Clock for 8:00 A . M . to 2:00 P. M . (schedule repeats every hour) :00
Station I.D.
:01
Three songs
:12
Station I.D.
:13
Song
:15
Station I.D.
:16
Song
:18
Weather and PSA
:19
Song
:23
Station I.D.
:24
Song
:27
Testimonial
:28
Song
:30
Station I.D.
:31
Song
:34
Station I.D.
:35
Song
:38
Station I.D.
:39
Song
:42
Station I.D.
:43
Song
:46
C-Note
:47
Song
:50
Testimonial
:51
Song
:54
Station I.D.
:55
Song
:58
2-minute news brief
QUESTIONS 1.
How many songs are played each hour? _____________
2.
How many minutes past the hour is the first testimonial? _____________________________________
3.
How many public service announcements are there each hour? ______________________________________
4. After
the first station I.D., about how many minutes
until the weather is reported? ______________________ 5.
How many minutes are between the C-note and the news brief? ______________________________________
KEY Station I.D.: Tells listeners the station they’re listening to C-Note: Information about an upcoming event PSA: Public Service Announcement Testimonial: Recording of a listener talking about why he or she likes the station
Teacher’s Page
Circle Survey
Learning Objective Students learn to use circle or “pie” graphs
What You’ll Need
• Circle Survey reproducible, page 41
DIRECTIONS 1. Distribute the Circle Survey
reproducible to students. Explain that they will be reading and interpreting a circle graph showing the results of a survey taken by kids just like them about issues facing the United States.
Name___________________________________________________ Date______________________
Circle Survey Kidshavealotontheirmindsthesedays. Butwhataretheythinkingabout?Hereisa circleor “pie”graphthatrepre sentsthethoughtsandconcernsofkidsjustlikeyou.Lookat thegraph andthenanswerthequestions.
Top Issues Facing the United States
29% Environment
36%
2. Review
circle graphs with students and explain that they are used to show parts of a whole. Like cutting a pie into pieces, students can look at the size of each piece to understand statistical information. The pie represents the views of all kids surveyed, each piece represents the percentage of kids surveyed who feel that particular issue is most important.
Crime Other
11% Education
QUESTIONS 1. Whatpercentageof
kidsthoughtcrimewas thetopissue?_______________________________________
2. Whatpercentageof
kidsthoughteithereducationor theenvironmentwas thetopissue? ___________
3. Whatpercentageof
kidsdidnot thinkthatthe environmentwasthe topissue?____________________
4. Whatpercentageof
kidsdidnot thinkthatcrime oreducationwas thetopissue? __________________
5. Whatpercentdo 6.
youthinkall thepiecesof thepieshouldadd upto?_____________________________
Basedonyouranswertoquesti on5,whatpercentageofkidssurveyedfellinto the“Other” category? Write thatnumber on that section of your graph. __________________________________________
7.
I f 1 0 0 k i d s w e r e s u r v ey e d, h o w m a n y k i d s t h ou g ht t h at c r m i e w a s t he t o p i s s ue f a ci n g t h e UnitedStates? ____________________________________________________________________________
8. Whatconcernsdo
youthinkfell intothe“Other”category? ______________________________________
__________________________________________________________________________________________
41
3. Instruct
students to look at the graph and talk about the results. You may wish to briefly discuss percents so that students are not confused about what they are seeing.
4. Instruct
students to answer the questions based on the information given.
ScholasticProfessionalBooks• 2001
GreatGraphs,Charts&TablesThatBui ldReal-LifeMathSkills
• pencil
A N S W E R S 1. 36%
2. 40%
6. 24%
7.
3. 71%
36 kids
4. 53%
5. 100%
8. Answers will vary
EXTENSION ACTIVITIES
Depending on the students’ level, percents can be discussed in more detail. For an even more challenging exercise, the percents can be written as fractions or decimals. The issues raised by this survey can lead into a larger discussion that works well in a current events class or as an essay-writing exercise or homework assignment. Ask students what they think fell into the “Other” category. (The topics included AIDS, abortion, prejudice/racism, violence, and drug and alcohol abuse.) Conduct a similar survey in your class, grade, or school and graph the results. Do students think their concerns are different than the concerns of adults?
Name ______________________________________ _____________ Date ______________________
Circle Survey Kids have a lot on their minds these days. But what are they thinking about? Here is a circle or “pie” graph that represents the thoughts and concerns of kids just like you. Look at the graph and then answer the questions.
Top Issues Facing the United States
29% Environment
36% Crime Other
11% Education
QUESTIONS 1. What percentage of kids thought crime was the top issue? _______________________________________ 2. What percentage of kids thought either education or the environment was the top issue? ___________ 3. What percentage of kids did not think that the environment was the top issue? ____________________ 4. What percentage of kids did not think that crime or education was the top issue? __________________ 5. What percent do you think all the pieces of the pie should add up to? _____________________________ 6.
Based on your answer to question 5, what percent age of kids surveyed fell into the “Other” category? Write that number on that section of your graph. _____________________________________ _______
7.
If 100 kids were surveyed, how many kids thought that crime was the top issue facing the United States? ____________________________________________________________________________
8. What concerns do you think fell into the “Other” category? ______________________________________ __________________________________________________________________________________________
Teacher ’s Page
Super Pix
Learning Objective Students read pictographs
What You’ll Need
• Super Pix reproducible, page 43
DIRECTIONS 1. Distribute
the Super Pix reproducible to students. Explain that they will be using pictographs to answer questions about which NFL teams have won the most Super Bowls.
Name___________________________________________________ Date______________________
Super Pix! Youmightremember whowon theSuper Bowlthis year,lastyear, oreven theyear before.But doyouknowwhichteamhaswonthemostSuperBowls?Ourpictographhasthe answer!Look atthechartandanswerthequestions.
Super Bowl Wins
2. Review
with students that pictographs use pictures or symbols to represent a certain number of things. that when answering questions using a pictograph, students should first count the number of symbols. Then they should add—or multiply—that number according to the number given in the key.
San F rancisco
3. Explain
students to look at the chart before answering the ques-
Dallas =onewin
QUESTIONS 1. a.
Howmany SuperBowlshasDallas won?____________________________________________________
b.
Howmany SuperBowls hasPittsburgh won?________________________________________________
c.
Howmany SuperBowlshas SanFrancisco won?_____________________________________________
2.
HowmanySuper BowlshaveSan FranciscoandPittsburghwon together?________________________
3.
Howmany SuperBowlshavethe threeteamswon together?_____________________________________
4.
Saythat eachfootballequals twoSuper Bowlwins.
5.
4. Instruct
Pittsburgh
a.
Howmanyfootballswould representthenumberof Pittsburgh’sSuperBowl wins?______________
b.
Howmanyfootballs wouldrepresentthenumber ofSan Francisco’sSuperBowlwins?___________
Dosomeresearch:This chartisfromstati stic sgathere din1996.FindoutwhowontheSuperBowlin 1997,1998,andsoforth,until thecurrentyear.Shouldthis pictogra phbechanged?Doesthisinformationchangeany ofyouranswers? Ifso,how? ________________________________________________ 43
ScholasticProfessionalBooks• 2001
GreatGraphs,Charts&TablesThatBui ldReal-LifeMathSkills
tions.
• pencil • scratch paper
A N S W E R S 1a. 5 4a. 2
1b. 4 4b. 2
1c. 5
1/2
2. 9
3. 14
5. Answers may vary
EXTENSION ACTIVITIES
This activity can be changed by designating a different value for each symbol (as done in question 4). Students can have lots of fun devising their own pictographs, which can be used to show numbers of a variety of things. For example, if your school library has a book drive, a chart could be made to keep track of the number of books collected. For example, each book can represent every 10 books that are collected. Or students can come up with an entirely different symbol. Symbols do not necessarily need to be stacked in graph form as they are here. Have students rearrange the pictograph so that the team names are listed and the footballs are to the right of each team name. As an art extension, have students design their own symbols. Ask students if they can combine pictographs with another type of graph, for example, a circle graph.
Name ______________________________________ _____________ Date ______________________
Super Pix! You might remember who won the Super Bowl this year, last year, or even the year before. But do you know which team has won the most Super Bowls? Our pictograph has the answer! Look at the chart and answer the questions.
Super Bowl Wins
San Francisco
Pittsburgh
Dallas = one win
QUESTIONS 1. a.
How many Super Bowls has Dallas won? ____________________________________________________
b.
How many Super Bowls has Pittsburgh won? ________________________________________________
c.
How many Super Bowls has San Francisco won? _____________________________________________
2.
How many Super Bowls have San Francisco and Pittsburgh won together? ________________________
3.
How many Super Bowls have the three teams won together? _____________________________________
4.
Say that each football equals two Super Bowl wins.
5.
a.
How many footballs would represent the number of Pittsburgh’s Super Bowl wins? ______________
b.
How many footballs would represent the number of San Francisco’s Super Bowl wins? ___________
Do some research: This chart is from statistics gathered in 1996. Find out who won the Super Bowl in 1997, 1998, and so forth, until the current year. Should this pictograph be changed? Does this information change any of your answers? If so, how? ________________________________________________
Teacher ’s Page
Today ’s Forecast: Maps!
Learning Objective Students read a weather map
What You’ll Need
• Today’s Forecast: Maps! reproducible, page 45
DIRECTIONS 1. Distribute the Today’s Forecast: Maps! reproducible to students.
Name___________________________________________________ Date______________________
Today ’s Forecast: Maps!
It may look familiar to many of them.
Beforeyougeton thatplane,you’dbett erchecktheweath ersoyouknowwhattopack! Don’tworry —youdon’thavetobe ameteorologist. Youjustneedourweathermap.Lookatthe chartandanswerthe questions.
2. Review
the map legend with the students. In particular, go over the meanings of the abbreviations listed in the legend.
Chart the Weather
Seattle 62/49c WA
Spokane 67/43sh
Portland 71/51sh
Helena 74/38s
OR
Bend 77/59s
Cheyenne 63/36pc
Reno 77/39s
SaltLakeCity 71/42s
to students that the two numbers listed near each city name refer to that day’s high and low temperature.
Omaha 62/38s
Denver 67/36s
Phoenix 94/67s
MO
IL
Roswell 68/38s
Tulsa 65/46pc
AR
IN
Dallas-Ft.Worth 74/47s SanAntonio 75/48s
PA
Honolulu 88/75s
Hilo 85/70pc
MD Washington DC
OH
Brownsville 77/56s
NJ DE
WV
Charleston 56/40pc
Portland 56/37pc
RI
Providence 62/43pc NewYorkCity 63/48pc Wilmington 61/47pc
Norfolk 61/56sh
VA
KY NC
Nashville 65/43pc
TN MS
AL
Jackson 72/45c
Wilmington 66/56r
Atlanta 58/61c
Charleston 66/56r
GA
Montgomery 71/48pc
LA
NewOrleans 75/57pc
FL
Tampa 87/69sh
Fairbanks 21/3s
Juneau 47/43r
CT
Pittsburgh 56/36sh
Columbus 58/37pc
SC
LittleRock 69/47pc
Amarillo 66/36pc
Buffalo 52/36pc
Detroit 59/39s
Indianapolis 59/36c
Springfield 59/43sh
Hawaii
is a lot of information being presented here, so remind students to read questions carefully. This will help them look for the right information and use their time wisely and efficiently.
NH
MA
MI
Milwaukee 64/41pc DesMoines 53/37s Chicago IA 55/43pc
Topeka 62/40s
OK
TX
Alaska
4. There
KS
SantaFe 66/36s NM
AZ
VT
NY WI
MN
NE
CO
Flagstaff 68/42s
3. Explain
Duluth 51/36t Minneapolis 57/43s
UT
LasVegas 85/62s
CA
LosAngeles 93/70s SanDiego 84/65s
ME
ND
SD
RapidCity 72/41s
WY
NV
SanFrancisco 79/57s
Bismarck 69/42s
ID
IdahoFalls 69/36sh Sacramento 79/57s
MT
Billings 76/48s
Numbers:today ’shigh/low temperatureinF ° c:cloudy
pc:partlycloudy
r : r ani
s h : sh o we r s
sn:snow
snf:snowflurries
t:thunder
s:sun
Miami 85/75pc KeyWest 84/76pc
QUESTIONS 1. What wasthehigh temperatureinSanta Fe, NewMexico?_______________________________________ 2. Whatwas
thelowtemperaturein Wilmington,NorthCarolina?__________________________________
3.
Namethreecities withpartlycloudy skies.____________________________________________________
4.
Howmuchgreater wasthe lowtemperaturein LosAngeles, California,thanthe hightemperaturein Fairbanks, Alaska? _________________________________________________________________________
5. Whatwas
thedifferencebetweenthe lowandhigh temperaturesinHonolulu,Hawaii?_____________
6. Which city hadthelowest high temperature?__________________________________________________ 7. Whichcity 8.
hadthe highestlow temperature?_________________________________________________
Namecitiesin fourdifferentstates withshowers.______________________________________________ 45
ScholasticProfessionalBooks• 2001
• pencil
A N S W E R S 1. 66 5. 13
2. 56
degrees
GreatGraphs,Charts&TablesThatBui ldReal-LifeMathSkills
3. Answers will vary 6. Fairbanks,
4. 49
degrees
• paper
Alaska
7. Key West, Florida 8. Answers will vary
EXTENSION ACTIVITIES
This is an activity that can change every day. Weather maps often are accompanied by charts listing everything from historical highs and lows to rainfall and tides. The weather maps shown on the television news may present different information, more specifically tailored to your town. Researching the local weather news can make an ideal take-home assignment. Have students design other pictographs, for example, to go along with the weather map. For example, one raindrop could equal an inch of precipitation. Also, temperatures presented here are in degrees Fahrenheit. Discuss Celsius and when and where it’s used. For more challenging math, have students convert temperatures.
Name ______________________________________ _____________ Date ______________________
Today ’s Forecast: Maps! Before you get on that plane, you’d better check the weather so you know what to pack! Don’t worry—you don’t have to be a meteorologist. You just need our weather map. Look at the chart and answer the questions.
Chart the Weather
Seattle 62/49c WA
Portland 71/51sh
Spokane 67/43sh
Helena 74/38s
OR
MT
Billings 76/48s
Bend 77/59s
San Francisco 79/57s CA
Cheyenne 63/36pc Salt Lake City 71/42s
Las Vegas 85/62s
Omaha 62/38s
Denver 67/36s KS
Phoenix 94/67s
WI
Topeka 62/40s
MO
IL
Santa Fe 66/36s
OK
Roswell 68/38s
Tulsa 65/46pc
Dallas-Ft.Worth 74/47s San Antonio 75/48s
IN
Indianapolis 59/36c
Alaska
Honolulu 88/75s
Hilo 85/70pc
Hawaii
Brownsville 77/56s
CT
PA
Pittsburgh 56/36sh
Columbus 58/37pc
Washington DC
OH
NJ
MD
DE
WV
Charleston 56/40pc
Portland 56/37pc
RI
Providence 62/43pc New York City 63/48pc Wilmington 61/47pc
Norfolk 61/56sh
VA
KY NC
Nashville 65/43pc
TN MS
AL
Jackson 72/45c
Wilmington 66/56r
LA
Atlanta 58/61c
Charleston 66/56r
GA
Montgomery 71/48pc
New Orleans 75/57pc
FL
Tampa 87/69sh
Fairbanks 21/3s
Juneau 47/43r
Buffalo 52/36pc
Detroit 59/39s
SC
Little Rock 69/47pc
Amarillo 66/36pc
TX
AR
MA
MI
Milwaukee 64/41pc Des Moines 53/37s Chicago IA 55/43pc
Springfield 59/43sh
NM AZ
NH NY
MN
NE
CO
VT
Minneapolis 57/43s
UT
Flagstaff 68/42s Los Angeles 93/70s San Diego 84/65s
Duluth 51/36t
Rapid City 72/41s
WY
NV
Reno 77/39s
ME
ND
SD
ID
Idaho Falls 69/36sh Sacramento 79/57s
Bismarck 69/42s
Numbers: today ’s high/low temperature in F ° c:cloudy
pc:partly cloudy
r: rain
sh: showers
sn: snow
snf:snow flurries
t: thunder
Miami 85/75pc Key West 84/76pc
s: sun
QUESTIONS 1. What was the high temperature in Santa Fe, New Mexico? _______________________________________ 2. What was the low temperature in Wilmington, North Carolina? __________________________________ 3.
Name three cities with partly cloudy skies. ____________________________________________________
4.
How much greater was the low temperature in Los Angeles, California, than the high temperature in Fairbanks, Alaska? _________________________________________________________________________
5. What was the difference between the low and high temperatures in Honolulu, Hawaii? _____________ 6. Which city had the lowest high temperature? ____________________________________________ ______ 7. Which city 8.
had the highest low temperature? ___________________________________________ ______
Name cities in four different states with showers. ______________________________________________
Teacher ’s Page
Taking Stock of Stocks
Learning Objective Students learn to read basic stock charts
What You’ll Need
• Taking Stock of Stocks reproducible, page 47
DIRECTIONS 1. Distribute the Taking Stock of Stocks reproducible to students.
Explain that they will be reading some basic stock quotes from the newspaper showing the activity of stocks on a specific day.
Name___________________________________________________ Date______________________
Taking Stock of Stocks It’smarketmadnesswithourstockmarketquotes! Readthechartandgraphbelowandthen answerthequestionsaboutsomeoftheupsanddownsofadayin thelifeofsomestocks.
Going to the Market 9:30 10:00 10:30 11:00 11:30 12:00 12:30 1:00 1:30
2. Review
chart reading with students. Tell them to familiarize themselves with the chart before attempting to answer the questions. You may wish to discuss stocks in general and the chart here in particular before asking the students to begin answering the questions.
10,558
4. Instruct
students to read the chart first and then answer the questions.
4:00
4:00 P.M.
10,435
10,480
➡
10,420
122.68
I NDE X
CLOSE
Nasdaq composite Standard & Poor’s 500 T re as ur y bo nd , 30 -y ea r yi el d Tr ea u s ry not e, 10- ye ar y ei dl
4013.36 1475.95 5 8. 9% 6 01 . %
C HANGE ➡ ➡
➡ x➡
➡
23.53 10.5 u nc h. 0. 01
QUESTIONS 1. a. Lookatthe
graph.Overall,didthe DowJonesIndustrialaveragego upordown? _________________
b. By howmuch?___________________ 2. a. Basedonthe
informationonthegraph, whattimedoes thestockmarket open?_________________
b. Whattimedoes 3. a. Lookat
itclose?__________________
theIndexchart. Howmanyindexeswent up?_________________
4. Whichindexhadno
is likely that most students are not familiar with the stock market and this may be a source of intimidation for them. When discussing the activity with students, it may be useful to point out that it is not necessary to completely understand the stock market to do this activity.
3:00 3:30
10,540
b. Howmanyindexeswent
3. It
2:00 2:30
DowJones IndustrialAverage
9:30 A.M.
10,600
down?___________________
change?____________________
5. a. DidtheNasdaqcompositego
upor down?____________________
b. By howmuch?___________________ 6. a. Whatdidthe
Treasurynotewitha 10-yearyieldclose at?___________________
b. Whatwasthe
change?___________________
c. Basedonyour
answerstoa andb,whatdidthe Treasurynotewitha10-yearyieldopen at?_________ 47
ScholasticProfessionalBooks • 2001
GreatGraphs,Charts &TablesTha tBuildRea l-LifeMathSkills
• pencil
A N S W E R S 1a. down 3a. 2 5a. up
1b. 122.68
3b. 1
2a. 9:30 A .M.
4. Treasury
5b. 23.53
2b. 4:00 P.M.
bond, 30-year yield
6a. 6.01%
6b. 0.01
6c. 6.00%
EXTENSION ACTIVITIES
There are stock quotes in the paper every day that can be used for classroom activities, in addition to a number of Web sites (see page 59) that provide constant updates. The example given here is a very simplified version, but actual stock quotes provide fractions, decimals, sometimes percents— they are a gold mine of statistics. As an ongoing project, it can be fun and educational to have the class track some stocks over time. Allow the kids to choose the stocks themselves (there are many that would be popular with kids, including some clothing and shoe designers, fast-food chains, and entertainment groups) and chart the stocks on a giant line graph in your classroom or hallway.
Name ______________________________________ _____________ Date ______________________
Taking Stock of Stocks It’s market madness with our stock market quotes! Read the chart and graph below and then answer the questions about some of the ups and downs of a day in the life of some stocks.
Going to the Market 9:30
10:00 1 0:30
9:30
11:00 1 1: 30 1 2:00 1 2:30
1:30
2:00
2: 30
3:00
3:30
4:00
Dow Jones Industrial Average
A.M.
10, 558
10,600
1:00
10,540
4:00
P.M.
10,435 10,480
➡
10,420
INDEX
CL O S E
Nasdaq composite Standard & Poor’s 500 Treasury bond, 30-year yield Treasury note, 10-year yield
4013.36 1475.95 5.89% 6.01%
122.68
C H A NG E ➡ ➡
➡ x➡
➡
23.53 10.5 unch. 0.01
QUESTIONS 1. a. Look at the graph. Overall, did the Dow Jones Industrial average go up or down? _________________ b. By how much? ___________________ 2. a. Based on the information on the graph, what time does the stock market open? _________________ b. What time does it close? __________________ 3. a. Look at the Index chart. How many indexes went up? _________________ b. How many indexes
went down? ___________________
4. Which index had no change? ____________________ 5. a. Did the Nasdaq composite go up or down? ____________________ b. By how much? ___________________ 6. a. What did the Treasury note with a 10-year yield close at? ___________________ b. What was the change? ___________________ c. Based on your answers to a and b, what did the Treasury note with a 10-year yield open at? _________
Teacher ’s Page
Dinner Diagrams
Learning Objective Students create Venn diagrams
What You’ll Need DIRECTIONS 1. Distribute
• Dinner Diagrams reproducible, page 49
the Dinner Diagrams reproducible to students.
2. Review Venn diagrams with students and make sure that they
Name___________________________________________________ Date______________________
Dinner Diagrams
understand what a Venn diagram is used to represent. Compare a Venn diagram to other graphs and discuss how the Venn diagram is different.
Hopeyou’re hungry! You’veheard ofthe fourmajor foodgroups, butthey usuallydon’t include “foodyouusuallyeatwithyourhands”!Foreachdescriptiongivenbelow,drawaVenndiagram thatshowsthegroupoffooditemsdescribed.
What’s for Dinner? HotFood pepperonipizza cheesepizza hamburger spaghettiwith tomatosauce spaghettiwith meatballs friedchicken frenchfries
3. Mention to students that Venn diagrams represent what two
ColdFood
or more different groups have in common. Mention that a Venn diagram represents an “overlap” of groups, just as they see the circles themselves overlap.
roastbeef sandwich cucumbersandwich applesauce
a brief discussion about possible situations—aside from what is presented in the activity—for which a Venn diagram might be used.
1.
Hot Food
pepperoni pizza hamburger
Meatless Food
cheese pizza
4.
Foo d You Us ual ly E at W it h Yo ur H an ds
spaghetti with tomato sauce
cucumber sandwich
spaghetti with meatballs
applesauce
hamburger
roast beef sandwich
pepperoni pizza
cucumber sandwich
fried chicken french fries
Food You Usually Eat With Your Hands
2.
Cold Food
Food You Usually Eat with Hands fried chicken
applesauce
roast beef sandwich cucumber sandwich
5.
fried chicken pepperoni pizza
pepperoni pizza
roast beef sandwich
cheese pizza
hamburger
hamburger
Meatle ss Food
cheese pizza
spaghetti with tomato sauce
cucumber sandwich
mixed vegetables
french fries
applesauce
french fries
Food You Usuall y Eat With Your Hands
3.
Cold Food
Meatless Food cheese pizza
roast beef sandwich
cucumber sandwich
spaghetti with tomato sauce
applesauce
mixed vegetables french fries
cheesepizza spaghettiwith tomatosauce mixedvegetables cucumbersandwich applesauce frenchfries
1.
Hotfooda ndmeatlessfood
2.
Coldfoodandfoodyouusually eatwithyourhands
3.
Coldfoodand meatlessfood
5.
Foodyouusuallyeatwithyourhandsandmeatle ssfood
Bonus: Hotfood,meatlessfood,andfoodyouusually eatwithyourhands!
49 ScholasticProfessionalBooks• 2001
GreatGraphs,Charts&TablesThatBui ldReal-LifeMathSkills
• pencil • protractor for drawing circles (optional)
cheese pizza
mixed vegetables
spaghetti with spaghetti with tomato sauce meatballs french fried fries chicken
H ot F oo d
MeatlessFood
4. Hotfoodandfoodyouusuallyeatwithyourhands
students to draw Venn diagrams to represent the requested information.
A N S W E R S
friedchicken pepperonipizza cheesepizza roastbeef sandwich cucumbersandwich hamburger frenchfries
DrawVenndiagrams toshow theintersectionof thefollowinggroups:
4. Have
5. Instruct
FoodYouUsuallyEat WithYour Hands
Bonus
roast beef sandwich
Meatless Food
applesauce cucumber sandwich
mixedvegetables
cheese pizza fried french chicken fries pepperoni spaghetti with pizza tomato sauce hamburger spaghetti with meatballs
EXTENSION ACTIVITIES
Have students create a similar set of Venn diagrams based on the food that they find in their school cafeteria. Encourage them to be as creative as possible with the groups that they decide to create. They may use colors, textures, ingredients—anything that can be classified as a group. And of course, challenge students to create Venn diagrams of items other than food. They may want to try sporting equipment—such as items used with hands, feet, or heads. Students can also create “Venn collages” in which pictures are used to illustrate grouped items as opposed to words or numbers.
Name ______________________________________ _____________ Date ______________________
Dinner Diagrams Hope you’re hungry! You’ ve heard of the four major food groups, but they usually don’t include “ food you usually eat with your hands”! For each description given below, draw a Venn diagram that shows the group of food items described.
What’s for Dinner? Hot Food pepperoni pizza cheese pizza hamburger spaghetti with tomato sauce spaghetti with meatballs fried chicken french fries
Cold Food roast beef sandwich cucumber sandwich applesauce
Food You Usually Eat With Your Hands fried chicken pepperoni pizza cheese pizza roast beef sandwich cucumber sandwich hamburger french fries
Meatless Food cheese pizza spaghetti with tomato sauce mixed vegetables cucumber sandwich applesauce french fries
Draw Venn diagrams to show the intersection of the following groups: 1. Hot food and meatless food 2. Cold food and food you usually eat with your hands 3. Cold food and meatless food 4. Hot food and food you usually eat with your hands 5. Food you usually eat with your hands and meatless food Bonus:
Hot food, meatless food, and food you usually eat with your hands!
Teacher ’s Page
Menu Math
Learning Objective Students read a menu
What You’ll Need
• Menu Math reproducible, page 51
DIRECTIONS 1. Distribute
the Menu Math reproducible to students.
Name___________________________________________________ Date______________________
2. Review
the basics of money math with students, such as adding and subtracting with decimals. Make sure students are comfortable with regrouping when adding and subtracting decimals.
Menu Math WelcometoDescartes Cafe! What’son themenu,youask?Whymath,ofcourse!Butbeforeyou fillup onfood you’dbettertakea closelookat ourmenu.Thenreadtheinformatio nandanswer thequestions.
Descartes Cafe MENUOFTHEDAY 10.95
ALACARTESELECTION
Includesyourchoiceofa dinner,aside order,anda dessert.Comeswithbeverageanda greensalad.
*Alacarteselectionsareserved withoutsideorders
SALADS GreenSalad 2.85 TomatoSalad 3.95 Grilled Chicken Salad 4.95 DINNERS
3. Instruct
students to do the calculations by hand. Later, if you wish, they may check their work—or their neighbor’s work— with a calculator.
*Alldinnerscomewith frenchfriesorbakedpotato andasalador spinach
Grilled Salmon 7.00 Hamburger 4.00 T-BoneSteak 6.50 SIDEORDERS FrenchFries 2.00 Baked Potato 1.50 Spinach 1.75
Hamburger 5.85 T-BoneSteak 8.95 Roast Chicken 7.95 VegetableMedley 6.95 GrilledSalmon 9.95
BEVERAGES Soda 2.00 Milk 1.00 Juice 1.50
DESSERTS Ice Cream 1.00 BrownieSundae 3.95 Cherry Pie 2.95 withIceCream add.75
QUESTIONS 1.
Howmuchmore doesthegrilled salmondinnercost thanthehamburger dinner?_________________
2. a. Ifyou
ordera roastchickendinner anda soda,how muchdoesyour ordercost?_________________
b. Ifyoudecide
tohavea pieceofcherry pieafterdinner,what isyourtotal now?___________________
3. a. IsthecostoftheMenuoftheDaymoreorlessthanyouranswerto2b?__________________
4. For many students, decimals are not as “scary” when used in
a money context, something that they are familiar with. Illustrating the use of decimals as a means of counting money can help make students more comfortable with decimals in general. 5. Before
they attempt to answer the questions, explain to students the difference between ordering a dinner or ordering a la carte.
6. Students
b. Howmuchmore 4. What
orless? ______________________
is thedifference in price betweena hamburgerdinner and a hamburgerand french fries
orderedseparately?______________________ 5. Youdecideyou
wantgrilledsalmon, bakedpotato,green salad,soda, andcherry piewithice cream.
a. Howmuchwould
thismealcost ifyou orderedeverythingindividually?________________________
b. Howmuchwoulditcostifyouorderedthegrilledsalmondinnerandthenthesamebeverageand
dessert separately?_______________________ c. Whichisthe d. What
leastexpensiveoption: 5a,5b,o rthe Menuof theDay? ___________________________
is the difference in price between the least expensive optiona nd the most expensive
option? _________________________ 51 S hl i P f i
l B k 2001
G
G
hCh
& T bl
T h B i l dR l L i f M h S ki ll
• pencil and paper • calculator (optional)
can then answer the questions.
A N S W E R S
EXTENSION ACTIVITIES
1. 4.10 2a. 9.95 2b. 12.90 3a. less 3b. 1.95
0.15 5a. 17.05 5b. 15.65 5c. Menu of the Day 5d. 6.10 4.
This is an activity that segues nicely into discussions about tax and percents. Students can re-compute all of their answers based on the food and beverage tax in your state, for example. This can also lead to a discussion about tipping. Students can then compute tax and tip, and discuss the difference between the price on the menu and what they actually end up paying for the meal. Try giving your students a limit on the money they can spend. They can list the items they want to order, along with the prices. Remind them that they will also need to pay for tax and a tip! A variety of take-out menus could come in handy and provide endless “menu math” activities.
25
25
25
Name ______________________________________ _____________ Date ______________________
Menu Math Welcome to Descartes Cafe! What’s on the menu, you ask? Why math, of course! But before you fill up on food you’d better take a close look at our menu. Then read the information and answer the questions.
Descartes Cafe MENU OF THE DAY 10.95
A LA CARTE SELECTION
Includes your choice of a dinner, a side order, and a dessert. Comes with beverage and a green salad.
*A la carte selections are served without side orders
SALADS Green Salad 2.85 Tomato Salad 3.95 Grilled Chicken Salad 4.95 DINNERS *All dinners come with french fries or baked potato and a salad or spinach
Grilled Salmon 7.00 Hamburger 4.00 T-Bone Steak 6.50 SIDE ORDERS French Fries 2.00 Baked Potato 1.50 Spinach 1.75
BEVERAGES Soda 2.00 Milk 1.00 Juice 1.50
DESSERTS Ice Cream 1.00 Brownie Sundae 3.95 Cherry Pie 2.95
Hamburger 5.85 T-Bone Steak 8.95 Roast Chicken 7.95 Vegetable Medley 6.95 Grilled Salmon 9.95
with Ice Cream add .75
QUESTIONS 1.
How much more does the grilled salmon dinner cost than the hamburger dinner? __ _______________
2. a. If you order a roast chicken dinner and
a soda, how much does your order cost? _________________
b. If you decide to have a piece of cherry pie after dinner, what is your total now? ___________________ 3. a. Is the cost of the Menu of the Day more or less than your answer to 2b? __________________ b. How much more or less? 4. What
______________________
is the difference in price between a hamburger dinner and a hamburger and french fries
ordered separately? ______________________ 5. You decide you want grilled salmon, baked potato, green salad, soda, and cherry pie with ice cream. a. How much would this meal cost if b. How much would it cost if
you ordered everything individually? ________________________
you ordered the grilled salmon dinner and then the same beverage and
dessert separately? _______________________ c. Which is the least expensive option: 5a, 5b, or the Menu of the Day? ___________________________ d. What
is the difference in price between the least expensive option and the most expensive
option? _________________________
Teacher ’s Page
Have Stats, Will Travel *NOTE: This activity has four parts. This teacher page accompanies the next four reproducibles.
Learning Objective Students read for detail a variety of charts
What You’ll Need
relating to travel
• Have Stats, Will Travel reproducibles, pages 53–56
DIRECTIONS 1. Distribute the four Have Stats, Will Travel reproducibles to stu-
dents. The charts and tables reflect some of the information travelers might use as they’re planning a trip abroad: plane fares, currency exchange rates, weather, and individual city statistics. However, you do not have to use all four together or in sequence. Each activity can easily stand on its own.
Name ___________________________________________________ Date ______________________
Have Stats, Will Travel (Part 1) Gotyourpassportready? Ticket?Finalboarding! Whereareyou headed?Well,the choiceis yours.One thingisfor sure— you’dbetterpackyourmath.Tofindouthowmuchitwillcostfor youto getwhereyo u’regoing,lookatourchartofairfaresforsomeverypopulardestinations. Readthe informationandanswer thequestions. Name ___________________________________________________ Date ______________________
Stats Take Flight!
Have Stats, Will Travel (Part 2)
AIR FARES
DOM E ST IC R OUT E S
Beforeyougeton thatplane,you’dbetter checktheweatherso youknowwhatto pack! INT E RNAT IO NAL R OUTE S
Don’tworry — youdon ’thavetobea meteorologi st.Youjustneedourweatherchart.Lookatthe
D si co un t F ra e; er st rci te d Fa re ; chartandU nanswerthequestions. Airline Airline N ew Yo r -k Denver
$ 27 8: F yl N ow
$ 1, 82 8: F yl N ow
D si co un t F ra e; Airline
U nr e ts ri ct e d aF re ; Airline
$ 73 0: S ky H gi h $ 1, 68 2: S yk H gi h How’s the Weather?
N ew Yo r -k A thens
Name ___________________________________________________ Date ______________________ N e w oY r k Los Angeles
$38 1 : B or n 2F l y
N e w oY r k St. Louis
$28 7 : S ky W o rld
$ 6 82 : B or n 2F l y
$ 11, 6 :4S k yW o lrd
City
S a n Far n cis co A us tin WashingtonLas Vegas
$ 5 82 : We s w t a dr H o
$630:AirUp Beijing There
Athens
Atlanta Boston B ue no s Ai e r s
1.
$ 12, 1 0:P a icfci T r ial s
$ 30, 9 6:P a icfci T r ial s
Have Stats, Will Travel (Part 3)
MayDays
A tal n at -
Average Rainy Cape Town
$ 8 9 : F ar - na d A - w ay
$ 29, 4 2:F a-ra nd - Aw a y
City
Average
Rainy
H i gh / o Lw D afun,butit’s ys Hih g/o Lw D a ys 02Turkishliras? Don ’tpanic, Travelmaybe notcheap. Doyouhaveanextra564,6
$18 9 : We s w t a dr H o
$198:AirUpThere
Q UEST IONS
N e wY o kr Hong Kong
Cairo
L o s A gn eel s $ 6.Tofindoutmoreabouthowfaradollarwillgetyouindiffere 10 : E sa t W ay that’sonlyonedollar n tpartsof 77/61 8 Lo sA ng el se $ 11, 5 0:7E a2/ts W 53 a y 2 Moscow checkourcurrency exchangechartand answerthequestions. theworld, 79/60 10 Madrid 70/50 10 SanFrancisco- 6 81/55 Mexico City
$379:BorderAir M ex ci
o Ci yt $480:BorderAir 7 8/ 54 17 Name ___________________________________________________ Date ______________________ Moscow 66/46 13
Money and Math in Many Lands
66/49
11
6 4/ 47
7
New York
91/63
0
Paris
WhatCan YouGet 65/50 12 Phoenix
Chicago
68/53
11
Have12Stats, Will Travel (Part 4)
68/49 91/60
1
Doyouknowyour wayaroundSingapore? Incaseyoudon’t,wehavealmostevery thing you Howmuchisa discountairfarefrom NewYorktoSt. Louis?_____________________________________
Delhi 105/79 2 Rome 74/56 5 forOne DollarIn? .. . needtoknowrigh there.Fromtaxistotempe r ature ,itcanallbefoundonourvitalstatis ticschart 60/43 Austin?_________________________________ 10 San uJ an 84/74 16 fromSanFranciscoto 2 a. Whatairlineis offeringaflight Dublin forSingapore. Justreadthe chartand answerthequestions. May 2000 May 1999 E di nb ur gh 5 6/ 43 1 4 Sydney 66/52 13 b.
Howmuch isthe unrestrictedfare?____________________________________________________ ___ H on gK on g AFRICA 8 2/ 74 1 3 Tokyo 71/54 10
Getting Around
K n e84/66 ay (s hi ll ni g) 7 5 .6 09 5 0.63/44 90 Houston Toronto YorktoAthensor anunrestrictedfarefromNew Yorkto 13 3. Whichcostsmore,a discountflightfromNew M o r oc o c (d ri ha m 9. 02 875/54 3. 4 Q UEST Jerusalem 81/57 1) Washington 12IONS Denver?_______________________________________________________________________ So ut hA rf ci a( ar nd ) 5. 21 4___________ 6. 7 London 62/47 12 Zurich 67/47 14
1. What countries besides the United States Howmuchisan unrestrictedfarefromAtlantato CapeTown?_________________________________ THEAMERICAS useaunitofcurrencycalledthedollar? ____ Brazil r(eal) 1.64 1.51 Q UEST IONS ___ _______________________________________ b. Which airlineprovidesthat service?_____________________________________________________ Canada (dolla )r 1.44 Singapore 1.42
4 a.
2. Explain to students that they will be seeing a variety of
information relating to travel, and they will have to read carefully to find the information they need.
c. Howmuch 5.
MayinBuenos 8.85 Aires?_________________ 1. Howmanyrainydays weretherein Mexico (peso) 8.75 ________________________________________ moreisthe unrestrictedfarethanthe discount fare?_______________________________ Stats
owtemperaturein Paris?_________________ 2. a. Whatwas theaveragel ASIA-PACIFIC 2. Which countries use a unit of currency Howmanydiscounttickets fromNewYorkto LosAngelescan moneyrequiredto Au ts ar i l a( do l l ar )bebought withthe 1. 67 1 4. 7 POPULATION ESTIMATEcalledthe franc?________________________ buyoneunrestrictedticket fromNewYorkto HongKong?______________________________________ Paris’saveragelowtemperature high?________________ Ho ng Ko ng (d olal )r 7. 56 thantheaverage 7 5. 2 b. Howmuchlowerwas 3.9 million _______________________________________ India (r upee) 40. 2 4 39.59 theaveragel owinDelhi orthea veragehighin Sydney?_________________ Japan(yen) 104.78 116.30 MAY W EATHER 3. a. HowmanyItalianlirascouldyougetfor theleast numberofrainyda ys?_________________ EUROPE High 89° onedollarin1999? ______ _____ ______ _ 53
3. Whichwaswarmer, 4. a. Whichcityhad ScholasticProfessionalBooks • 2001
b. Whichcityhad
A us rt ai ( sc hi ll ni g)
1 Low 4. 67TablesThatBuildReal-LifeMath 1 2. 62 GreatGraphs,Charts&
Skills
75°
thegreatest? _________________4 .3 01 Q UEST IONS B le gi um (f ar nc ) couldyouget RainyDays 3 6. 98 15b. HowmanymoreItalianliras p( ound) .63 thehigh andlow?_________________ .60 foronedollar in2000?_________________ theleast Britain temperaturechangebetween 1. Whatisthe averagehight emperatureinSingaporeinMay? Denmark (kro ne) 7. 5 9 6.81 OF AVERAGE COST ______________________________________________________ heunit ofcurrency inKenya? 4. a. What ist thelowest averagehigh?_________________ France f(ranc) 6.99 6.01 HOTEL PER NIGHT Germany (mark) 2.09 1.79 _____________________________________ Roomforonewithtax$230.50 Whatis theestimated populationof Singapore?__________ 2. averagelow?_________________ b. Whichcityhad thehighest H un ga yr ( of rn ni )t 2 62 5. 0 2 18 6. 0 ______________________________________________________ r encycouldyouget b. Howmuchofthatcur Ireland p( unt) .80 .69 OF AVERAGE COST I at yl (l ri a) 2 0, 63DINNER . 30 1 7, 75 ONE 1. 0 fora3.dollarin2 FOR Doesthe 000?___________________ $24price ScholasticProfessionalBooks • 2001 fordinnerincludetax andtip?_________
5. Whichcityhad
6. a. Whichcityhad
54
P or tu ga l e ( sc ud o) Sp ai n( pes eta )
2 0 Withtax 3 7. 0 1 75 3. 0 andtip 1 69. 20 1 45 5. 0
3. Review phrases such as “average,” “at least,” and “no more than”
Egypt p ( ound) Israel (shekel) T ur ke y (l ri a )
$24.00 5.
U pon entr y 3.15 3.18 E a ch a d dti i on a l 3.83 km 3.76 5 64 6, 02F 0.r o0 m ht e a3i p 2r, o 97r2t. 00
______________________________________________________ Ifyouhadonedollarin2000,whichcould
youget4. moreof, Japaneseyen orSpanish itcostupon enteringataxi?____________ a. Howmuchdoes
TAXI
MIDDLEEAST
$ .141 pesetas? _______________________________ b. Ifeachadditionalkilometer (km)is$0.25, andyougo8 km, $ 02. 5 owmanyIndianrupees couldyou howmuchmoney willyou oweall together?____________ $ 16.0.3In1999,h 0
getwithtwo____________________________________________________ dollars?_____________________
AVERAGE COST OF CAR RENTAL PER DAY ScholasticProfessionalBooks•
2001
withunlimited f re e mi el ag e
with students, and talk about what they mean.
5 a.
Howmuchisataxiridefromtheairp ort?____ ______ ____ 55
GreatGraphs,Charts &TablesThatBuildR eal-LifeMathSkills
____________________________________________________
$ 11 3. 56
b. Basedonthecostofenteringataxiandthecostforeach
additionalkilomete r,abouthow manykilomete rsis it fromtheairport totown?_____________________________
56
4. Instruct
students to look at the information being presented before they answer any questions. Once they feel comfortable with the chart or table, remind them to read each question carefully. The answers are much easier to find if the students are clear on what they are looking for.
ScholasticProfessionalBooks•
2001
• pencil • paper • calculator
A N S W E R S
Page 53
EXTENSION ACTIVITIES
1. $278 2a. Westward Ho 2b. $582 3. Unrestricted fare from New York to Denver 4a. $2,942 4b. Far-and-Away 4c. $2,043 5. 9
Page 54 1. 7
2a. 49
degrees 2b. 19 degrees 3. average low in Delhi 4a. Cairo 4b. Mexico City 5. Hong Kong 6a. Edinburgh 6b. Delhi Page 55 1. Canada; Australia; Hong Kong 3a. 1,775.10 5. Spanish
3b. 288.20
pesetas
Page 56 1. 89 degrees 5a. $10.30
2. Belgium;
4a. shilling
France 4b. 56.09
6. 79.18
2. 3.9 million
5b. 35.6 kilometers
3. yes
4a. $1.41
4b. $3.41
The international flavor of these activities naturally lends itself to a great deal of multicultural exchange and learning. They also present a wonderful way to work on money math. Students could be given a travel budget and plan a trip—buy tickets, pay for transportation from the airport, and figure out how far their dollars will go in a certain country. Exchange rates are a great way to teach conversions, decimals, and calculator skills.
Name ______________________________________ _____________ Date ______________________
Have Stats, Will Travel (Part 1) Got your passport ready? Ticket? Final boarding! Where are you headed? Well, the choice is yours. One thing is for sure— you’d better pack your math. To find out how much it will cost for you to get where you’re going, look at our chart of air fares for some very popular destinations. Read the information and answer the questions.
Stats Take Flight! A I R FA R E S D OM E S T I C R O UT E S
I N T E R N AT I O N AL R O U T E S
Discount Fare; Airline
Unrestricted Fare; Airline
New YorkDenver
$278: Fly Now
$1,828: Fly Now
New YorkLos Angeles
$318: Born2Fly
New YorkSt. Louis San FranciscoAustin WashingtonLas Vegas
Discount Fare; Airline
Unrestricted Fare; Airline
New YorkAthens
$730: Sky High
$1,682: Sky High
$682: Born2Fly
New YorkHong Kong
$1,210: Pacific Trails
$3,096: Pacific Trails
$278: SkyWorld
$1,164: SkyWorld
AtlantaCape Town
$899: Far-and-Away
$2,942: Far-and-Away
$198: Westward Ho
$582: Westward Ho
Los AngelesMoscow
$610: East Way
$1,150: East Way
$198: Air Up There
$630: Air Up There
San FranciscoMexico City
$379: Border Air
$480: Border Air
QUESTIONS 1.
How much is a discount air fare from New York to St. Louis? _____________________________________
2 a. What airline is offering b.
a flight from San Francisco to Austin? ______________________ ___________
How much is the unrestricted fare?_______________________________________________________
3. Which costs more, a discount flight from New York to Athens or an unrestricted fare from New York to
Denver? __________________________________________________________________________________ 4 a. How much is
an unrestricted fare from Atlanta to Cape Town? _________________________________
b. Which airline provides that service? ________________________________________________________ c. How much more is the unrestricted fare than 5.
the discount fare? _______________________________
How many discount tickets from New York to Los Angeles can be bought with the money required to buy one unrestricted ticket from New York to Hong Kong? ______________________________________
Name ______________________________________ _____________ Date ______________________
Have Stats, Will Travel (Part 2) Before you get on that plane, you’d better check the weather so you know what to pack! Don’t worry — you don’t have to be a meteorologist. You just need our weather chart. Look at the chart and answer the questions.
How’s the Weather? May Days Average High/Low
Rainy Days
Average High/Low
Rainy Days
Athens
77/61
8
Los Angeles
72/53
2
Atlanta
79/60
10
Madrid
70/50
10
Beijing
81/55
6
Mexico City
78/54
17
Boston
66/49
11
Moscow
66/46
13
Buenos Aires
64/47
7
New York
68/53
11
Cairo
91/63
0
Paris
68/49
12
Chicago
65/50
12
Phoenix
91/60
1
Delhi
105/79
2
Rome
74/56
5
Dublin
60/43
10
San Juan
84/74
16
Edinburgh
56/43
14
Sydney
66/52
13
Hong Kong
82/74
13
Tokyo
71/54
10
Houston
84/66
7
Toronto
63/44
13
Jerusalem
81/57
1
75/54
12
London
62/47
12
67/47
14
City
City
Washington Zurich
QUESTIONS 1.
How many rainy days were there in May in Buenos Aires? _________________
2. a. What was the average low temperature in Paris? _________________ b. How much lower was Paris’s average low temperature than the average high? ________________ 3. Which was warmer, the average low in Delhi or the average high in Sydney? _________________ 4. a. Which city had the least number of
rainy days? _________________
b. Which city had the greatest? _________________ 5. Which city had the least temperature change between the high and low? _________________ 6. a. Which city had the lowest average high? _________________ b. Which city had the highest average low? _________________
Name ______________________________________ _____________ Date ______________________
Have Stats, Will Travel (Part 3) Travel may be fun, but it’s not cheap. Do you have an extra 564,602 Turkish liras? Don ’t panic, that’s only one dollar. To find out more about how far a dollar will get you in different parts of the world, check our currency exchange chart and answer the questions.
Money and Math in Many Lands What Can You Get for One Dollar In? . . . May 2000
May 1999
AFRICA Kenya (shilling) Morocco (dirham) South Africa (rand)
56.09 9.02 5.21
50.90 8.34 4.67
1. What
THE AMERICAS Brazil (real) Canada (dollar) Mexico (peso)
1.64 1.44 8.85
1.51 1.42 8.75
1.67 7.56 40.42 104.78
1.47 7.52 39.59 116.30
14.67 43.01 .63 7.95 6.99 2.09 262.50 .80 2,063.30 203.70 169.20
12.62 36.98 .60 6.81 6.01 1.79 218.60 .69 1,775.10 175.30 145.50
ASIA-PACIFIC Australia (dollar) Hong Kong (dollar) India (rupee) Japan (yen)
QUESTIONS
use a unit of currency called the dollar?____ _______________________________________ ________________________________________ 2. Which
_______________________________________ 3. a. How
many Italian liras could you get for
one dollar in 1999? __________________ b. How many more Italian liras could you get
for one dollar in 2000? _________________ 4. a. What
is the unit of currency in Kenya?
_____________________________________ b. How much of that currency could you get
for a dollar in 2000? ___________________ 5.
If you had one dollar in 2000, which could you get more of, Japanese yen or Spanish
MIDDLE EAST Egypt (pound) Israel (shekel) Turkey (lira)
countries use a unit of currency
called the franc? ________________________
EUROPE Austria (schilling) Belgium (franc) Britain (pound) Denmark (krone) France (franc) Germany (mark) Hungary (fornint) Ireland (punt) Italy (lira) Portugal (escudo) Spain (peseta)
countries besides the United States
3.18 3.76 564,602.00
3.15 3.83 32,972.00
pesetas? _______________________________ 6.
In 1999, how many Indian rupees could you get with two dollars? _____________________
Name ______________________________________ _____________ Date ______________________
Have Stats, Will Travel (Part 4) Do you know your way around Singapore? In case you don’t, we have almost everything you need to know right here. From taxis to temperature, it can all be found on our vital statistics chart for Singapore. Just read the chart and answer the questions.
Getting Around
Singapore Stats POPULATION ESTIMATE 3.9 million
M AY WE AT H E R High Low Rainy Days
89° 75° 15
AV E R A G E C O S T O F HOTEL PER NIGHT Room for one with tax $230.50
AV E R A G E C O S T O F DINNER FOR ONE With tax and tip
$24.00
TA XI Upon entry Each additional km From the airport
QUESTIONS 1. What is the average high temperature in Singapore in May?
______________________________________________________ 2. What
is the estimated population of Singapore? __________
______________________________________________________ 3.
Does the $24 price for dinner include tax and tip? _________ ______________________________________________________
4. a. How much does it cost upon entering
$1.41 $0.25 $10.30
a taxi? ____________
b. If each additional kilometer (km) is $0.25, and you go 8 km,
how much money will you owe all together? ____________ ____________________________________________________
AV E R A G E C O S T O F CAR RENTAL PER DAY with unlimited free mileage
5 a. How
much is a taxi ride from the airport? ______________
____________________________________________________ $113.56
b. Based
on the cost of entering a taxi and the cost for each
additional kilometer, about how many kilometers is it from the airport to town? _____________________________
Teacher ’s Page
Statistics Scavenger Hunt Learning Objectives
Various
What You’ll Need DIRECTIONS 1. In
this activity, students will be venturing around their class, school, or community looking for any evidence of statistics they can find. The objective is for students to become increasingly aware of the incredible amount of math surrounding them every day, whether or not they are in school. with students all the various graphs, charts, and tables they can think of, and have them talk about where they’ve seen them. It’s okay for them to mention some of the things that have been brought to their attention in this activity book, but encourage them to look around them for many sources of statistics: hospital charts; feature checklists on the boxes of toys, games, and electronics; cookbooks; automobile tune-up checklists; and so forth.
• pencil • paper
EXTENSION ACTIVITIES
2. Brainstorm
3. Tell students that they are going on a scavenger hunt to
find examples of at least five different graphs, charts, or tables. Explain to students that they will earn points for each example they bring in, and that each example must be accompanied by one math question relating to the chart, table, or graph they’ve presented. The student who earns the most points in the allotted amount of time wins. NOTE: No points for bringing in
two different versions of the same stat (for example: box scores from two different baseball games). It is very important that students understand what their graphs, charts, and tables represent. This is why the accompanying math question is a key part of this activity. 4. Keep
a list of places where students have found statistical examples and post them in the classroom. This activity can go on for as long as you like. Once completed, results can be taped on the walls of the classroom and students can go around and complete the math questions that go along with each graph.
This activity can be a team competition with groups of students competing to find the greatest number of charts, tables, or graphs possible within a strict time frame. Extra credit can be given if students create two different styles of graph using the same information, for example, taking part of the information given in a pie graph and turning it into a bar graph. To encourage creativity, prizes could be given for the most surprising stat or the best artistic representation of a chart, table, or graph. Students should feel free to really go allout, even creating a 3-D pictograph or doing an accompanying report on their topic for extra credit. Depending on the information presented in the various graphs, a great deal of learning beyond math can be shared. Have students present their favorite statistic—a mapping exercise of archaeological finds in Egypt, for example—and talk about what they learned about the topic behind the graph, chart, or table.
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Appendix
Appendix 1: Quick Reference LINE GRAPH A line graph shows changes over time. Example: How sports participation in school has changed from 1970 to 2000.
DOUBLE (OR MULTIPLE) LINE GRAPH A multiple line graph shows changes over time for two (or more) different groups. Example: How sports participation in school has changed from 1970 to 2000, with one line representing boys, the other, girls.
BAR GRAPH A bar graph uses bars to show and compare total numbers of things. Example: The total number of Olympic gold medals won, with one bar representing the medal total of each country.
DOUBLE BAR GRAPH A double bar graph uses bars to show total numbers of things, but divides each total number into two groups. Example: The total number of Olympic gold medals won by country, with each country represented by two bars, one bar for men’s events, the other bar for women’s.
STACKED BAR GRAPH A stacked bar graph divides one piece of information, represented by one bar, into two specific parts. Example: One bar representing the total amount of money earned by an athlete, divided into money received from salary and money received from endorsements.
CIRCLE GRAPH (OR PIE CHART) A circle graph shows parts of a whole. Example: The total circle represents the number of Super Bowl victories, divided into victories for AFC teams and victories for NFC teams.
PICTOGRAPH A pictograph uses pictures. Each picture represents a certain number of people or things. Example: The total rainfall in inches for several different cities, with one umbrella equivalent to 2 inches of rainfall.
Appendix
Appendix 2: Teacher Resources Here are places where you can find additional statistical information to use along with the blank graphing reproducibles (pages 61–64). Used together, you can create and interpret charts, tables, and graphs of your own. Some of these resources already present the information in graph form. The information either can be interpreted in the given form, or students can be challenged to present the information using another type of chart, table, or graph.
SCHOLASTIC KIDS USA SURVEY www.scholastic.com/ This site contains a poll of classrooms across the United States about issues concerning kids, including topics such as violence in the media, the environment, and school uniforms. For more research information and other helpful teaching hints, take a look at what else is on www.scholastic.com. To get to Kids USA Survey from the home page, you can start by clicking on “Teachers,” then “Online Activities,” and finally “Math” and go from there.
USA TODAY www.usatoday.com/snapshot/life/snapldex.htm In addition to the newspaper itself, USA Today ’s Web site has an archive of its “Snapshots,” the popular polls and graphs featured in the paper. Listed according to topic, the polls contain statistical information about everything from teen smoking to how many people prefer chunky to creamy peanut butter.
U.S. CENSUS BUREAU www.census.gov More data than you’ll know what to do with. Statistics on virtually every aspect of American life—poverty, education, population, ethnic breakdowns, and so forth.
A L SO C H E C K O U T T H E S I T E ’ S “ P O P C L O C K” www.census.gov/ftp/pub/main/www/popclock.html The “Pop Clock” has population updates from around the world every five minutes, and population estimates from 1950 to 2050.
INFOPLEASE.COM www.infoplease.com A great place to start for any statistics activity—you could end up anywhere! The site has links to an exceptionally wide variety of almanacs, with information about geography, the entertainment world, politics, history, atlases and maps, and a K–12 Learning Network.
C N N - S P O R T S I L L U S T R AT E D www.cnnsi.com Sports is an ongoing source of statistical information and an area that usually appeals to kids. This is just one Web site that has statistical information for many sports. It includes team standings, schedules, points, and individual player statistics.
Appendix
BILLBOARD MAGAZINE www.billboard-online.com/charts Billboard Magazine ’s Web site not only has the latest chart listing for hit music, but if you click on “This Week’s Poll,” you go to their “Voting Booth,” where there are results of polls on current music topics.
A M E R I C A N S T O C K E XC H A N GE www.amex.com Stocks are a great way to work with line graphs. The information also can be used to teach fractions and percents, as well as give kids some insight into economics.
T H E E ND A N GE R E D S P E C I E S P R O G R A M endangered.fws.gov Maps, charts, and statistical information about endangered animals and plants from the U.S. Fish and Wildlife Service’s Division of Endangered Species.
C E N T E R F O R D I S E A S E C O N T R O L’ S T O B A C C O I N F O R M A T I O N A N D P R E V E N T I O N SOURCEPAGE www.cdc.gov/nccdphp/osh/tobacco.htm A variety of statistics on a very important topic for kids. The site also contains information on smoking trends, current events, legislation, and how to stop smoking.
NATIONAL CLIMATIC DATA CENTER www.ncdc.noaa.gov Weather information, with maps, charts, graphs, and tracking of weather systems. The site also features an interactive option that presents certain statistical information in graph form, if desired.
OANDA.COM www.oanda.com Currency exchange and converter Web site. Charts featuring currency from all over the world. Many math tieins, including decimals. Also an excellent opportunity for cross-curricular tie-ins with geography, foreign languages, and social studies.
Reproducibles
Blank Graph Reproducibles P IE C HA RT in 100 equal divisions
Reproducibles
AXIS 1
Reproducibles
AXIS 2
VENN DIAGRAM