Name
19.3
?
Data Analysis—
3.8.A, 3.8.B
MATHEMATICAL PROCESSES
3.1.A, 3.1.C, 3.1.E, 3.1.F
Bar Graphs
Essential Question
How can you read and interpret data in a bar graph?
Unlock
Unlock the
the Problem
Problem
A bar graph uses bars to show data. A scale
of equally spaced numbers helps you read
the number each bar shows.
• Underline the words that tell you
where to find the information to
answer the question.
The students in the reading group made a
bar graph to record the number of books
they read in October. How many books did
Seth read?
The title tells
what the bar
graph is about.
Books Read in October
The length of a bar
tells how many books
each student read.
Student
Max
© Houghton Mifflin Harcourt Publishing Company • Image Credits: ©Blend Images/Alamy Images
Each bar is
labeled with
a student’s
name.
Amy
The scale is 0–16
by twos.
Seth
Kate
0 2 4 6 8 10 12 14 16
Number of Books
Math Talk
Mathematical Processes
Explain how to read the
bar that tells how many
books Amy read.
Find the bar for Seth. It ends at _.
So, Seth read _ books in October.
1.
How many books did Max read?
__
2.
Who read 4 fewer books than Kate?
__
3.
What if Amy read 5 more books?
How many books did Amy read?
Shade the graph to show how
many she read.
__
Module 19
635
Examples
These bar graphs show the same data.
Favorite Winter Activity
Number of Students
Activity
Ice Skating
Skiing
Sledding
Hockey
0
Favorite Winter Activity
28
24
20
16
12
8
4
0
4
8 12 16 20 24 28
Number of Students
In a horizontal bar graph, the bars go
across from left to right. The length of
the bar shows the number.
Ice
Skating
Skiing
Sledding Hockey
Activity
In a vertical bar graph, the bars go
up from the bottom. The height of
the bar shows the number.
4.
What does each space between the numbers represent?
5.
How can you find the winter activity that the most students
voted for using the graphs above?
Share
Share and
and Show
Show
Use the Spinner Results bar graph for 1–3.
How many more times did the pointer stop on
green than on purple?
_ more times
2.
How many fewer times did the pointer stop on
blue than on red and green combined?
Number
of Times
1.
Spinner Results
50
40
30
20
10
0
Blue Green Red
Color
Purple
3.
636
What if there were 15 more spins and the pointer
stopped 10 more times on green and 5 more times
on blue? How many more times did the pointer
stop on green than blue?
© Houghton Mifflin Harcourt Publishing Company
_ fewer times
Name
Problem
Problem Solving
Solving
6.
10
8
6
4
2
Ac
tio
n
ra
m
a
0
D
Multi-Step Is the number of comedy and action
DVDs greater than or less than the number of
animated and drama DVDs? Explain.
12
Co
m
ed
y
5.
Analyze Diego has 5 fewer of this kind of DVD
than comedy. Which kind of DVD is this?
Number of DVDs
4.
14
An
im
at
ed
Use the Diego’s DVDs bar graph for 4–6.
Diego’s DVDs
Kind of DVD
Multi-Step How many DVDs does
Diego have that are not comedy DVDs?
Use the Science Fair Projects bar graph for 7–9.
Representations How many more students would
have to do a project on plants to equal the number
of projects on space?
Science Fair Projects
Animals
Subject
7.
© Houghton Mifflin Harcourt Publishing Company
8.
9.
Write Math
What’s the Question? The answer
is animals, space, rocks, oceans, and plants.
Plants
Space
Rocks
Oceans
0
6 12 18 24 30 36
Number of Students
What if 3 fewer students did a project
on weather than did a project on rocks? Describe
what the bar graph would look like.
Module 19 • Lesson 3
637
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
A
13
C
12
B
9
D
8
t
Bo
at
in
g
Ki
ck
ba
ll
Sw
im
m
in
g
Apply The camp director made a bar
graph of the activities that campers
chose last week. How many campers
chose kickball?
14
12
10
8
6
4
2
0
Ar
10.
Favorite Camp Activity
Number of Campers
Fill in the bubble for the correct answer
choice. Use the Favorite Camp Activity
bar graph for 10−13.
Kind of Activity
11.
12.
Multi-Step How many fewer campers
chose boating and kickball combined
than chose art and swimming combined?
A
8
C
2
B
3
D
17
Multi-Step How many campers in all chose
a favorite camp activity?
A
30
C
29
B
40
D
42
TEXAS Test Prep
638
Analyze How many campers chose a water activity?
A
12
B
18
C
20
D
8
© Houghton Mifflin Harcourt Publishing Company
13.
H o mewo rk
and Practice
19.3
Data Analysis—3.8.A, 3.8.B
MATHEMATICAL PROCESSES 3.1.A, 3.1.C,
3.1.E, 3.1.F
Name
Bar Graphs
Problem
Problem Solving
Solving
Use the Roxanne’s Bird Feeder bar graph for 1–4.
Roxanne made this bar graph to show
the number of birds that she saw
at her bird feeder. How many more
wrens than sparrows did Roxanne see?
2.
How many fewer sparrows than robins
did Roxanne see?
3.
Roxanne saw 4 more of this kind of
bird than robins. Which kind of bird
is this?
Roxanne's Bird Feeder
Number of Birds
1.
4.
12
10
8
6
4
2
0
Cardinal Wren Sparrow Robin
Kind of Bird
How many birds did Roxanne see at
the feeder that were not cardinals?
Use the Art Fair Projects bar graph for 5–6.
How many more students would have
to make mobiles so that the number
of mobiles equals the number of
sculptures?
Art Fair Projects
Paper Máché
Type of Art
© Houghton Mifflin Harcourt Publishing Company
5.
Mobile
Sculpture
Painting
6.
List the art projects in order from the
least number to the greatest number
of students.
0
4 8 12 16 20 24 28
Number of Students
Module 19 • Lesson 3 639
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
Use the Band Members bar graph for 7–9.
How many more flute players than
triangle players are in the band?
A
22
C
30
B
8
D
14
Band Members
Number of Players
7.
28
24
20
16
12
8
4
0
Drum
8.
The band needs the number of
triangle players to equal the number
of drum players. How many more
triangle players does the band need?
A
4
C
8
B
12
D
20
9.
Flute Triangle Maraca
Kind of Instrument
Multi-Step How many band
members do NOT play the maracas?
A
18
C
42
B
34
D
60
Use the Kenji’s Garden bar graph for 10–12.
Kenji wants to plant an equal
number of corn and tomato plants.
How many more corn plants does
he need?
18
C
48
B
30
D
12
Bean
Pumpkin
Squash
Tomato
Corn
0
11.
640
Kenji plants more pumpkin plants.
There are double the number of
pumpkin plants now. How many
pumpkin plants are there?
A
6
C
12
B
9
D
15
12.
6 12 18 24 30 36
Number of Plants
Multi-Step How many fewer
squash and pumpkin plants are
there than corn and bean plants?
A
27
C
15
B
42
D
57
© Houghton Mifflin Harcourt Publishing Company
A
Kenji's Garden
Kind of Plant
10.