key - ms. plummer's fourth gradersplummerfourthgrade.weebly.com/uploads/8/7/3/...key.pdf ·...

112©

Cu

rriculu

m A

ssociates, LL

C

Copyin

g is not perm

itted.

Practice Lesson 27 Line PlotsU

nit 5

Practice and Prob

lem Solvin

gU

nit 5 Measurem

ent and D

ata

Key

B Basic M Medium C Challenge

©Curriculum Associates, LLC Copying is not permitted.292 Lesson 27 Line Plots

Solve.

4 The lengths of snakes at a zoo are shown in the table below.

Snake LengthsSnake A B C D E F G H

Length (in inches) 9 7 1 ·· 4 8 1 ·· 4 7 1 ·· 4 8 7 7 3 ·· 4 8 1 ·· 4

Complete the line plot below to represent the data in the table.

8 9

Length (in inches)

Lengths of Snakes

8 12 8 3

47 14 7 1

2

5 Look at the line plot in problem 4. How many snakes are less than 8 inches long? Explain how you know.

6 Sally measured the width of seashells she collected. The table below shows the data.

Seashell WidthsSeashell A B C D E F G H

Width (in inches) 2 3 ·· 4 1 3 ·· 4 1 ·· 2 1 1 ·· 4 1 ·· 4 3 ·· 4 1 3 ·· 4

Draw a line plot to represent the data in the table.

Widths of Seashells

M

292292 Lesson 27Lesson 27292

M

M

4 snakes. Possible explanation: Count the Xs on the line plot at numbers that are

less than 8. There are 4 Xs at numbers less than 8.

7

XX XX

XX

8 9

X

Length (in inches)

Lengths of Snakes

8 14 8 1

2 8 347 1

4 7 12 7 3

4

X

0

XX XX

X XX

1 2

X

Widths of Seashells

14 1 1

4 1 12 1 3

412

34

Width (in inches)

©Curriculum Associates, LLC Copying is not permitted. 291Lesson 27 Line Plots

Name:

Prerequisite: Display Data on a Line Plot

Study the example problem showing how to display data on a line plot. Then solve problems 1−6.

For problems 1−3, use the line plot in the example above.

1 Explain how to use the line plot to fi nd how many seedlings Ginny measured.

2 What are the heights of the shortest seedling and the tallest seedling? Explain how you know.

Shortest seedling: Tallest seedling:

3 Two seedlings have the same height. What is the height? Explain how you know.

Example

Ginny measured the heights of tomato seedlings in her garden. The heights are shown in the table below. Make a line plot to represent the data.

Seedling HeightsSeedling A B C D E F G

Height (in inches) 1 1 ·· 4 3 ·· 4 1 1 ·· 4 2 1 3 ·· 4 1 1 ·· 2 1 ·· 2

Use a number line with a scale of 1 ·· 4 inch.

For each seedling, put an X

on the line plot above its height. 0

X X X X X

1 2

X

Length (in inches)

Heights of Seedlings

14 1 1

4 1 12 1 3

412

34

X

Line Plots

Lesson 27

291291 Line Plots Line Plots 291

M

B

B

Answers will vary. Possible answer: Count the number of Xs. Each X stands

for one seedling. There are 7 Xs so Ginny measured 7 seedlings.

Possible explanation: The numbers increase as you go from left to right on the number

1 ·· 2 inch 2 inches

1 1 ·· 4 inch. Possible explanation: There are 2 Xs at the 1 1 ·· 4 -inch mark on the line plot.

line. The X farthest to the left is at 1 ·· 2 inch. The X farthest to the right is at 2 inches.

CC

04MM

RPPS TG

TEXT.indb 1124/7/16 2:39 PM

113©

Cu

rriculu

m A

ssociates, LL

C

Copyin

g is not perm

itted.


nit 5

Practice and Prob

lem Solvin

gU

nit 5 Measurem

ent and D

ata


Solve.

3 Look at the measurements in inches listed below. What fractions could be labeled on a number line with a line plot of the data? Circle all that apply.

10 1 ·· 4 , 10 1 ·· 2 , 11, 11 3 ·· 4

A Halves C Fourths

B Thirds D Eighths

Micah’s dog has 8 puppies. The length in inches of each puppy is listed below.

4, 4 3 ·· 4 , 4 3 ·· 8 , 4 1 ·· 2 , 4 1 ·· 2 , 4 7 ·· 8 , 4 1 ·· 4 , 4

4 Draw a line plot to represent the data.

5 Use the line plot to answer the questions.

a. How many measurements are recorded?

b. What is the longest length of a puppy?

c. What is the shortest length of a puppy?

d. How many puppies are less than or equal to 4 1 ·· 2 inches in length?

e. How many puppies are greater than 4 1 ·· 2 inches in length?

Vocabularyline plot a graph using

marks along a number

line to show how many

objects are in a set.

M


M

M

4 7 ·· 8 inches

4 inches

8

6

2

4

XX X X X X

5

Length (in inches)

Puppy Lengths

4 584 4

84 384 2

84 18 4 6

8 4 78

XX


Name: Name: Name: Lesson 27

Represent Data on a Line Plot

Study the example problem showing how to make a line plot. Then solve problems 1−5.

The height of fourth graders was measured on the first day of school and on the last day of school. The growth in inches of some students is listed below.

3, 1 3 ·· 4 , 2 1 ·· 4 , 1 1 ·· 2 , 2 1 ·· 4 , 2 7 ·· 8

1 Write the data in eighths, by using equivalent fractions.

3, , , , , 2 7 ·· 8

2 Complete the line plot below to represent the data.

1 3

Growth (in inches)

Growth of Students

2 782 6

82 582 4

82 382 2

82 181 7

81 681 5

81 481 3

81 281 1

8 2

Example

Students in science class measured the widths 3 ·· 4 7 ·· 8 1 3 ·· 8 1 1 ·· 2 1 1 ·· 4 3 ·· 4

of butterfly wingspans in inches. The widths are shown in the table. Make a line plot to represent the data.

Draw and label a number line by eighths.Put an X above each butterfly wingspan width.

Write equivalent fractions.

1 ·· 4 5 2 ·· 8 1 ·· 2 5 4 ·· 8 3 ·· 4 5 6 ·· 8

0

X X X X X

2

Width (in inches)

Butterfly Wingspan Widths

1 781 6

81 581 4

81 381 2

81 1817

868

58

48

38

28

18

X


M

B1 6 ·· 8 2 2 ·· 8 1 4 ·· 8 2 2 ·· 8

1

XX X X X

3

Growth (in inches)

Growth of Students

2 782 6

82 582 4

82 382 2

82 181 7

81 681 5

81 481 3

81 281 1

8 2

X

CC

04MM

RPPS TG

TEXT.indb 1134/7/16 2:39 PM

114©

Cu

rriculu

m A

ssociates, LL

C

Copyin

g is not perm

itted.


nit 5

Practice and Prob

lem Solvin

gU

nit 5 Measurem

ent and D

ata


Solve.

A standard-sized brick should be 7 5 ·· 8 inches

7

X XX

XXXXXXX

8

Length (in inches)

Lengths of Bricks

7 587 1

27 387 1

47 18 7 3

4 7 78

X X

long. The line plot shows the actual lengths

of 12 different bricks.

3 What is the sum of the lengths of all the bricks that are exactly 7 5 ·· 8 inches long?

Show your work.

Solution:

4 What is the sum of the lengths of all the bricks that are less than 7 5 ·· 8 inches long?

Show your work.

Solution:

5 What is the sum of the lengths of all the bricks that are greater than 7 5 ·· 8 inches long?

Show your work.

Solution:


M

M

M

7 5 ·· 8 1 7 5 ·· 8 1 7 5 ·· 8 1 7 5 ·· 8 1 7 5 ·· 8 1 7 5 ·· 8 1 7 5 ·· 8 5 49 35 ··· 8

49 35 ··· 8 5 49 1 4 3 ·· 8 5 53 3 ·· 8

53 3 ·· 8 inches

7 1 ·· 2 5 7 4 ·· 8

7 3 ·· 8 1 7 4 ·· 8 1 7 4 ·· 8 5 21 11 ··· 8 5 22 3 ·· 8 inches

22 3 ·· 8 inches

7 3 ·· 4 5 7 6 ·· 8

7 6 ·· 8 1 7 7 ·· 8 5 14 13 ··· 8 5 15 5 ·· 8 inches

15 5 ·· 8 inches


Name: Name: Name: Lesson 27

Solve Addition Problems with Line Plots

Study the example showing how to solve an addition problem with a line plot. Then solve problems 1−5.

1 Look at the line plot in the example. Ashley decides to glue the fi ve largest shells along the edge of another frame. The shells fi t exactly. How wide is the other frame?

Show your work.

Solution:

2 Ashley puts the 1 1 ·· 4 inch shells onto a string. What is

the total width of the shells on the string?

Show your work.

Solution:

Example

Ashley is decorating a frame with seashells. She wants to know if all the shells will fit along the edge of a 16-inch wide frame. She measures the width of each shell and records the information in a line plot. If Ashley puts all the shells in a row, will the total width of the shells fit on the frame?

Write the fractions in eighths. 1 1 1 2 ·· 8 1 1 2 ·· 8 1 1 2 ·· 8 1 1 3 ·· 8 1 1 5 ·· 8 1 1 6 ·· 8 1 1 6 ·· 8 1 2 1 2

Then add. 12 26 ·· 8 5 12 1 3 2 ·· 8 5 15 2 ·· 8 , or 15 1 ·· 4

The total width of the shells is 15 1 ·· 4 inches.

15 1 ·· 4 , 16, so the shells will fit on the frame.

1

X X XXXX

2

Width (in inches)

Widths of Seashells

1 581 1

21 381 1

41 18 1 3

4 1 78

XX

XX

Vocabularyline plot a graph using

marks along a number

line to show how many

objects are in a set.


M

M

Possible work: 1 3 ·· 4 5 1 6 ·· 8

1 5 ·· 8 1 1 6 ·· 8 1 1 6 ·· 8 1 2 1 2 5 7 17 ··· 8 5 9 1 ·· 8

Possible work:1 1 ·· 4 1 1 1 ·· 4 1 1 1 ·· 4 5 3 3 ·· 4

9 1 ·· 8 inches

3 3 ·· 4 inches

CC

04MM

RPPS TG

TEXT.indb 1144/7/16 2:39 PM

115©

Cu

rriculu

m A

ssociates, LL

C

Copyin

g is not perm

itted.


nit 5

Practice and Prob

lem Solvin

gU

nit 5 Measurem

ent and D

ata


Solve.

Marine biologists caught fish for research. They measured the sea bass they caught and recorded the lengths in the line plot below.

12

XXXX X X

14

Length (in inches)

Lengths of Sea Bass

1378133

41358131

21338131

41318127

81234125

81212123

81214121

8 13

XXXXX X

XX

3 What is the diff erence in length between the longest and shortest sea bass that the biologists caught?

Show your work.

Solution:

4 Sea bass that are caught and that have a length less than 13 inches must be thrown back into the ocean. How many more inches does the shortest fi sh need to grow before it can be taken out of the ocean?

Show your work.

Solution:

5 Sea bass can grow to a maximum length of 23 inches. How much more would the longest fi sh caught need to grow in order to reach the maximum length?

Show your work.

Solution:


M

M

M

Possible work: 13 7 ·· 8 2 12 1 ·· 4

13 7 ·· 8 2 12 2 ·· 8 5 1 5 ·· 8

Possible work: 13 2 12 1 ·· 4

12 4 ·· 4 2 12 1 ·· 4 5 3

·· 4

Possible work: 23 2 13 7 ·· 8

22 8 ·· 8 2 13 7 ·· 8 5 9 1 ·· 8

1 5 ·· 8 inches

3 ·· 4 inch

9 1 ·· 8 inches


Name:

Solve Subtraction Problems with Line Plots

Study the example showing how to solve a subtraction problem with a line plot. Then solve problems 1−5.

1 Which questions below can be answered using the line plot in the example above? Circle all that apply.

A In 3 months, it rained the same amount. What is the difference between that amount and the amount in the month when it rained the most?

B What was the total amount of rainfall for the year?

C In how many months did it rain more than 2 inches?

D How much rainfall occurred in January?

2 Look at the choices you circled in problem 1. Which can be solved using subtraction? What is the solution? Explain.

Example

The monthly rainfall in inches for one city is shown in the line plot.What is the difference in inches of rain between the month with the greatest amount of rain and the month with the least amount of rain?

1

XXX X X X X X

3

Amount of Rain (in inches)

Monthly Rainfall

2 782 3

42 582 1

22 382 1

42 181 7

81 341 5

81 121 3

81 141 1

8 2

X XXX

Write a subtraction expression. 3 2 1 1 ·· 4

Write the numbers in fourths. 12 ·· 4 2 5

·· 4

Find the difference. 12 ·· 4 2 5 ·· 4 5 7 ·· 4 5 1 3 ·· 4

The difference is 1 3 ·· 4 inches.

Name: Name: Lesson 27


M

M

Choice A. 7 ·· 8 inch. Possible explanation: In 3 months, it rained 2 1 ·· 8 inches.

The most rainfall in a month was 3 inches. 3 2 2 1 ·· 8 5 24

··· 8 2 17

··· 8 5 7

·· 8 .

CC

04MM

RPPS TG

TEXT.indb 1154/7/16 2:39 PM

116©

Cu

rriculu

m A

ssociates, LL

C

Copyin

g is not perm

itted.


nit 5

Practice and Prob

lem Solvin

gU

nit 5 Measurem

ent and D

ata


4 Use the line plot in problem 4 to tell whether each sentence is True or False.

a. The difference between the plant that grew themost and least is 2 1 ·· 2 inches. u True u False

b. Two plants that grew the most have a combined growth of 10 1 ·· 2 inches. u True u False

c. Two plants that grew the least have a combined growth of 9 1 ·· 2 inches. u True u False

d. Two plants grew the same amount. The combined growth of these two plants is 11 1 ·· 2 inches. u True u False

3 Ginny recorded how much her tomato plants grew this season. She plotted the growth of each plant in a line plot. What was the total length in inches that her plants grew this season?

4

X X X XXX

6

Length (in inches)

Growth of Plants

5 785 345 5

85 125 3

85 145 1

84 784 3

44 584 1

24 384 1

44 18 5

X

Show your work.

Solution:

Solve.

Plants that grew a greater number of inches are farther to the right on the number line in the line plot.

What operation do you use to find the combined length?


C

M

37 1 ·· 2 inches

Possible work:

4 4 ·· 8 1 5 1 5 1 ·· 8 1 5 3 ·· 8 1 5 6 ·· 8 1 5 6 ·· 8 1 6 5 35 20 ··· 8 5 35 1 2 4 ·· 8 5 37 4 ·· 8 or 37 1 ·· 2

3

3

3

3


Name:

2 Use the line plot in problem 1. What is the total amount of time the team spent running in relay races?

A 17 minutes

B 17 3 ·· 8 minutes

C 20 minutes

D 20 3 ·· 8 minutes

Miriam chose B as the correct answer. How did she get that answer?

1 The line plot shows the fi nish times of races run by a relay running team. What is the diff erence in minutes between the team’s two fastest times?

2

X

4

Time (in minutes)

Relay Team Finish Times

3 783 3

43 583 1

23 383 1

43 182 7

82 342 5

82 122 3

82 142 1

8 3

XX

X XXX

A 1 ·· 8 minute C 1 1 ·· 8 minutes

B 1 ·· 4 minute D 2 7 ·· 8 minutes

Where on the line plot are faster times?

What symbol represents one race on the line plot?

Solve Problems with Line Plots

Solve the problems.

Name: Name: Lesson 27


M

B

Possible answer: She added together the race

times but she forgot to add 3 twice.

CC

04MM

U5 L27 TG

.indd 1164/28/16 7:50 AM

key - ms. plummer's fourth gradersplummerfourthgrade.weebly.com/uploads/8/7/3/...key.pdf ·...

Documents