Learning Objective
Name _____________________
Today, we will interpret1 data from a graph.
1
explain the meaning of
CFU
What are we going to do today?
What does interpret mean? Interpret means __________.
Activate (or provide) Prior Knowledge
The coordinate plane is a flat surface divided into four sections by the
intersection of the x-axis and y-axis.
Write the ordered pairy for each point on the coordinate plane below.
y-axis
x-axis
10
9
8
A
B
7
6
5
4
1. Point A
2. Point B
Point A is located
at (-3, 6).
Point B is located
at (-7, 4).
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
1
2
3 4
x
5
6
7
8
9 10
-3
-4
-5
-6
-7
-8
CFU
Students, you already know how to identify an ordered pair on a
coordinate plane. Today, we will interpret data from a graph.
-9
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-10
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
Concept Development
Data is information collected for a purpose.
• Data can be represented2 on a line graph.
A line graph represents the change of a value over time.
• Data is represented on a line graph where a set of measurements intersect.
2
shown
Data represented on a line graph:
Month
70
January
71
February
73
March
75
April
78
May
81
June
87
July
90
August
86
September
82
October
78
November
74
December
High Temperatures in Los Angeles in 2009
High Temperature
(degrees Fahrenheit)
High Temp.
95
90
85
80
75
70
65
60
55
50
A 4
B 3
On what day were only two students absent?
A Monday
B Wednesday
Students Absent Last Week
Students
CFU
How many students were absent on Tuesday?
Month
In your own words, what is a line graph? A line graph is ________.
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4
3
2
Day
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice
y-axis
A line graph represents the change of a value over time.
• Data is represented on a line graph where a set of measurements intersect.
x-axis
Interpret data from a graph.
Step #1: Read the question and identify any given values. (underline)
a. Identify the given value along the correct axis.
b. Match the given value to a data point on the graph. (Hint: Draw a straight line)
c. Match the data point to a value along the other axis. (Hint: Draw a straight line)
Step #2: Interpret your answer in a complete sentence.
Use the graph below to answer questions #1 – 4.
Baby Angela's Growth Graph
29
Height (inches)
28
27
26
25
24
23
22
21
20
1
2
3
4
5
6
7
8
Baby Angela's Age (months)
9
1. When she was 4 months old,
how tall was Angela?
At 4 months old, Angela was 24
inches tall.
2. When she was 6 months old,
how tall was Angela?
At 6 months old, Angela was 26
inches tall.
3. At what age did Angela first
reach 27 inches of height?
Angela was 27 inches tall at 7
months old.
4. At what age did Angela first
reach 23 inches of height?
Angela was 23 inches tall at 2
months old.
CFU
(#1a) How did I/you identify the given value?
(#1b) How did I/you match the given value to a data point on the graph?
(#1c) How did I/you match the data point to a value along the other axis?
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5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
y-axis
A line graph represents the change of a value over time.
• Data is represented on a line graph where a set of measurements intersect.
x-axis
Interpret data from a graph.
Step #1: Read the question and identify any given values. (underline)
a. Identify the given value along the correct axis.
b. Match the given value to a data point on the graph. (Hint: Draw a straight line)
c. Match the data point to a value along the other axis. (Hint: Draw a straight line)
Step #2: Interpret your answer in a complete sentence.
Use the graph below to answer questions #5 – 8.
Kassie's 10-Mile Foot Race
Running Speed (Miles Per Hour)
9
8
7
6
5
4
5. How fast was Kassie running at the moment she completed
half the race?
When she completed half the race, Kassie was running
6 miles per hour.
6. How fast was Kassie running at the moment she completed
the whole race?
When she completed the whole race, Kassie was running
6 miles per hour.
7. The winner ran 16 miles per hour for part of the race. For
which mile did Kassie run half as fast as the winner?
3
Kassie ran 8 miles per hour during mile 2.
2
1
0
1
2
3
4
5
6
7
Miles Completed
8
9
10
8. Kassie’s friend Peggy ran 8 miles per hour for part of the race.
For which mile did Kassie run half as fast as Peggy?
Kassie ran 4 miles per hour during mile 7.
CFU
(#2) How did I/you identify the given value?
(#3) How did I/you match the given value to a data point on the graph?
(#4) How did I/you match the data point to a value along the other axis?
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Comments? [email protected]
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
y-axis
A line graph represents the change of a value over time.
• Data is represented on a line graph where a set of measurements intersect.
x-axis
Interpret data from a graph.
Step #1: Read the question and identify any given values. (underline)
a. Identify the given value along the correct axis.
b. Match the given value to a data point on the graph. (Hint: Draw a straight line)
c. Match the data point to a value along the other axis. (Hint: Draw a straight line)
Step #2: Interpret your answer in a complete sentence.
Use the graph below to answer questions #9 – 12.
9. At what time of day was the number of
donuts in the display case highest?
Donuts in Allyson's Donut Shop Display Case
At 5:00 AM, the number of donuts in the
display case was the highest.
10. At what time of day was the number of
donuts in the display case lowest?
90
80
Donuts Left
70
60
At 8:30 AM, the number of donuts in the
display case was the lowest.
50
40
11. How many more donuts were in the
display case at 5:00 AM than 6:30 AM?
At 5:00 AM, there were 10 more donuts in the
display case than at 6:30 AM.
30
20
10
0
5:00 AM
5:30 AM
6:00 AM
80
6:30 AM
7:00 AM
7:30 AM
8:00 AM
8:30 AM
70–=40
10= 20
70Time60 8040–60
CFU
(#2) How did I/you identify the given value?
(#3) How did I/you match the given value to a data point on the graph?
(#4) How did I/you match the data point to a value along the other axis?
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12. How many more donuts were in the
display case at 7:00 AM than 7:30 AM?
At 7:00 AM, there were 20 more donuts in the
display case than at 7:30 AM.
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
Relevance
A line graph represents the change of a value over time.
• Data is represented on a line graph where a set of measurements intersect.
1. Interpreting data from a graph will help you make sense of real world information, such as
stock market trends.
How much more was a share of Acme Inc. stock worth
in April than it was in January?
Dollars ($) Per Share
Price of Acme Inc. Stock
20
18
16
14
12
10
8
6
4
2
0
Jan-10 Feb-10 Mar-10 Apr-10 May-10 Jun-10
Jul-10
Aug-10 Sep-10 Oct-10 Nov-10 Dec-10
Date
2. Interpreting data from a graph will help you do well on tests.
CFU
Does anyone else have another reason why it is relevant to interpret data from a graph? (pairshare) Why is it relevant to interpret data from a graph? You may give me one of my reasons or
one of your own. Which reason is the most relevant to you? Why?
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Comments? [email protected]
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
A line graph represents the change of a value over time.
• Data is represented on a line graph where a set of measurements intersect.
y-axis
Skill Closure
Interpret data from a graph.
x-axis
Step #1: Read the question and identify any given values. (underline)
a. Identify the given value along the correct axis.
b. Match the given value to a data point on the graph. (Hint: Draw a straight line)
c. Match the data point to a value along the other axis. (Hint: Draw a straight line)
Step #2: Interpret your answer in a complete sentence.
Use the graph below to answer questions #1 and #2.
Price of Big Smiles Toothpaste Co. Stock
Dollars ($) Per Share
27
26
25
24
23
22
21
20
Monday
Tuesday
Wednesday
Day of the Week
Thursday
Friday
1. On Wednesday, what was the
price per share of stock for
the company Big Smiles
Toothpaste?
On Wednesday, the stock was
priced at $24 per share.
2. On which day did the share
price of Big Smiles
Toothpaste first reach $26 per
share?
On Tuesday, the stock first reached
$26 per share.
Constructed Response Closure
In order to increase the number of bald eagles in an area, a researcher must track the population of bald eagles during each
season. Explain why information collected could be represented on a line graph.
Summary Closure
What did you learn today about interpreting data from a graph?
Day 1 ___________________________________________________________________________________________________
Day 2 ___________________________________________________________________________________________________
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5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
Independent Practice
Name __________________________
Data is information collected for a purpose.
• Data is represented on a line graph where a set of measurements intersect.
y-axis
x-axis
Interpret data from a graph.
Step #1: Read the question and identify any given values. (underline)
a. Identify the given value along the correct axis.
b. Match the given value to a data point on the graph. (Hint: Draw a straight line)
c. Match the data point to a value along the other axis. (Hint: Draw a straight line)
Step #2: Interpret your answer in a complete sentence.
Use the graph below to answer questions #1 – 6.
Number of Children
1. On Monday, how many children played
Children Playing Soccer In Tree City
soccer in Tree City?
75
On Monday, 35 children played soccer.
70
2. On which day of the week did 50
65
children play together for the first time?
60
On Thursday, 50 children played together.
55
3. How many children played soccer at
50
the halfway point of the week?
45
On Wednesday, 45 children played together.
40
4. There are 80 total children in Tree City.
35
On which day did exactly half of the
30
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
children play soccer together?
Day of the Week
On Tuesday, half the children played together.
5. Which day of the week was most popular
for children playing soccer in Tree City?
Saturday was the most popular day of the week for playing soccer.
65 40
6. How many more children played soccer in Tree City on Friday than on Tuesday?
65 – 40 = 25
There were 25 more children who played Friday than Tuesday.
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Saturday
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1
Name __________________________
Data is information collected for a purpose.
• Data is represented on a line graph where a set of measurements intersect.
y-axis
x-axis
Interpret data from a graph.
Step #1: Read the question and identify any given values. (underline)
a. Identify the given value along the correct axis.
b. Match the given value to a data point on the graph. (Hint: Draw a straight line)
c. Match the data point to a value along the other axis. (Hint: Draw a straight line)
Step #2: Interpret your answer in a complete sentence.
Use the graph below to answer questions #1 – 6.
Teeth in Mouth
1. How many teeth did Tyrone have
when he was 19 months old?
Tyrone's Baby Teeth
At 19 months old, Tyrone had 14 teeth.
20
2. How old was Tyrone when he first
18
had 4 teeth in his mouth?
16
Tyrone had 4 teeth at 9 months old.
14
3. When he was half a year old, how
12
many teeth did Tyrone have?
10
He had 0 teeth at 6 months old.
8
6
4. Babies get a total of 20 baby teeth.
4
How old was Tyrone when he first
2
had half of his baby teeth?
0
He had 10 teeth at 15 months old.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
5. What age was Tyrone when he
6 Age (months)
16
Tyrone's
had the most baby teeth?
16 – 6 = 10
He had all 20 baby teeth at 27 months old.
6. How many more teeth did Tyrone have when he was 24 months old than when he was 12 months old?
27
He had 10 more teeth at 24 months old than at 12 months old.
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©2012 All rights reserved.
Comments? [email protected]
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2
Name __________________________
y-axis
Data is information collected for a purpose.
• Data is represented on a line graph where a set of measurements intersect.
x-axis
Interpret data from a graph.
Step #1: Read the question and identify any given values. (underline)
a. Identify the given value along the correct axis.
b. Match the given value to a data point on the graph. (Hint: Draw a straight line)
c. Match the data point to a value along the other axis. (Hint: Draw a straight line)
Step #2: Interpret your answer in a complete sentence.
Use the graph below to answer questions #1 – 6.
2. In which season did Les have his
first 25-touchdown season?
Les scored 25 touchdowns in 2008.
3. How many touchdowns did Les
score in the season in which he
finished the first half of his playing
career?
Les scored 20 touchdowns in 2006.
Les Washburn's Football Career
30
Touchdowns Scored
1. How many touchdowns did Les
score in his first football season,
2004?
In 2004 Les scored 10 touchdowns.
25
20
15
10
5
0
2004
2005
2006
2007
20
Football Season
2008
2009
5
20 – 5 = 15
4. The record for touchdowns scored in
a season is 30. In which season did
5. In which season did Les score the fewest touchdowns of his career?
Les score half that many touchdowns?
In 2007 Les scored 15 touchdowns.
In 2009 Les scored only 5 touchdowns.
6. How many more touchdowns did Les score in 2006 than 2009?
Les scored 15 more touchdowns in 2009 than in 2006.
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? [email protected]
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3
Name __________________________
Data is information collected for a purpose.
• Data is represented on a line graph where a set of measurements intersect.
y-axis
x-axis
Interpret data from a graph.
Step #1: Read the question and identify any given values. (underline)
a. Identify the given value along the correct axis.
b. Match the given value to a data point on the graph. (Hint: Draw a straight line)
c. Match the data point to a value along the other axis. (Hint: Draw a straight line)
Step #2: Interpret your answer in a complete sentence.
1. What was Lilliana’s score in the 4th
game she bowled?
Lilliana scored 80 points in her 4th game.
Use the graph below to answer questions #1 – 6.
Lilliana's Bowling Scores
95
2. In which game did Lilliana first bowl
a score of exactly 85?
She scored 85 points in her 2nd game.
Lilliana's Score
90
3. What was Lilliana’s score in the
game where she finished half of her
games?
She scored 75 points in her 3rd game.
4. Lilliana’s best score ever was 140.
In which game did she bowl half of
that score?
She scored 70 points in her 5th game.
5. In which game did Lilliana bowl her
best score of the 6 games?
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80
75
70
65
60
Game 1
85 – 75 = 10
Game 2
85
Game 3
Game 4
75
Game Bowled
Game 5
Game 6
6. How many more points did Lilliana score in Game 2 than Game 3?
Her best game of the 6 was her 1st game.
DataWORKS Educational Research
85
Lilliana scored 10 more points in her 2nd game than 3rd game.
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
Blank Page
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©2012 All rights reserved.
Comments? [email protected]
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the data in
terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.