Download 5th_MA_SDP_1.4_INTERPRET_DATA_GRAPH_DW

Name ______________________
L ea rn i n g Obj e cti v e
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 __________.
Acti va t e ( o r p r o vi de ) P ri o r K n o wl edg e
The coordinate plane is a flat surface divided into four sections by the
intersection of the x-axis and y-axis.
Write the ordered pair for each point on the coordinate plane below.
y
10
9
y-axis
8
A
B
7
x-axis
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
1 2 3 4 5
x
6 7 8 9 10
-3
-4
-5
-6
-7
-8
-9
-10
1. Point A
2. Point B
CFU
Students, you already know how to identify an ordered pair on a coordinate plane. Today, we will interpret
data from a graph.
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.
Co n c e pt D ev el opm e n t
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:
High Temp.
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
90
85
80
75
70
65
60
55
December
October
November
Month
September
August
July
June
May
April
March
February
50
January
(degrees Fahrenheit)
High Temperature
95
CFU
How many students were absent on Tuesday?
A 4
B 3
On what day were only two students absent?
A Monday
B Wednesday
In your own words, what is a line graph? A line graph is ____________________.
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.
Ski l l Dev el o pm en t /G u i ded P ra cti c e
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 #5: 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
9
Baby Angela's Age (months)
1. When she was 4 months old, how tall was Angela?
2. When she was 6 months old, how tall was Angela?
3. At what age did Angela first reach 27 inches of height?
4. At what age did Angela first reach 23 inches of height?
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?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.
Ski l l Dev el o pm en t /G u i ded P ra cti c e ( c on t i n u ed)
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 #5: 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
3
2
1
0
1
2
3
4
5
6
7
8
9
10
Miles Completed
5. How fast was Kassie running at the moment she completed half the race?
6. How fast was Kassie running at the moment she completed the whole race?
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?
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?
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?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.
Ski l l Dev el o pm en t /G u i ded P ra cti c e ( c on t i n u ed)
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 #5: Interpret your answer in a complete sentence.
Use the graph below to answer questions #9 – 12.
Donuts in Allyson's Donut Shop Display Case
90
80
Donuts Left
70
60
50
40
30
20
10
0
5:00 AM
5:30 AM
6:00 AM
6:30 AM
7:00 AM
7:30 AM
8:00 AM
8:30 AM
Time
9. At what time of day was the number of donuts in the display case highest?
10. At what time of day was the number of donuts in the display case lowest?
11. How many more donuts were in the display case at 5:00 AM than 6:30 AM?
12. How many more donuts were in the display case at 7:00 AM than 7:30 AM?
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?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.
Rel e va n c e
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 ($) Per Share
Price of Acme Inc. Stock
20
18
16
14
12
10
8
6
4
2
0
Jan-10
Feb-10
Mar-10
Apr-10
May-10 Jun-10
Jul-10
Aug-10 Sep-10
Oct-10
Nov-10 Dec-10
Date
2. Interpreting data from a graph will help you do well on tests.
CFU
Does anyone else have another reason why it is relevant to interpret data from a graph? (pair-share) Why
is it relevant to interpret data from a graph? You may give me one of my reasons or one of your own.
Which reason is the most relevant to you? Why?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Statistics, Data Analysis, and Probability 1.4 (2½ Q)
Identify ordered pairs of data from a graph and interpret the meaning of the
data in terms of the situation depicted by the graph.
Lesson to be used by EDI-trained teachers only.
A line graph represents the change of a value over time.
• Data is represented on a line graph where a set of measurements intersect.
Ski l l Cl osu r e
Interpret data from a graph below.
Step #1: Read the question and identify any given values. (underline)
a. Identify the given value along the correct axis.
b. Match the given value to a data point on the graph. (Hint: Draw a straight line)
c. Match the data point to a value along the other axis. (Hint: Draw a straight line)
Step #5: Interpret your answer in a complete sentence.
Use the graph below to answer questions #1 and #2.
27
Price of Big Smiles Toothpaste Co.
Stock
Dollars ($) Per
Share
26
25
24
23
22
21
20
Monday
Tuesday
Wednesday
Thursday
Friday
Day of the Week
1. On Wednesday, what was the price per share of stock for the company Big Smiles Toothpaste?
2. On which day did the share price of Big Smiles Toothpaste first reach $26 per share?
Co n st ru ct e d R e sp on s e Cl o su r e
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 in the
study could be represented on a line.
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
Su mm ar y Cl o su r e
What did you learn today about interpreting data from a graph?
Day 1 __________________________________________________________________________
_______________________________________________________________________________
Day 2 __________________________________________________________________________
_______________________________________________________________________________
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.
Name _______________________
A line graph represents the change of a value over time.
y-axis
• Data is represented on a line graph where a set of measurements intersect.
In d ep en d en t P ra cti c e
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 #5: Interpret your answer in a complete sentence.
Use the graph below to answer questions #1 – 6.
Children Playing Soccer in Tree City
75
Number of Children
70
65
60
55
50
45
40
35
30
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Day of the Week
1. On Monday, how many children played soccer in Tree City?
2. On which day of the week did 50 children play together for the first time?
3. How many children played soccer at the halfway point of the week?
4. There are 80 total children in Tree City. On which day did exactly half of the
children play soccer together?
5. Which day of the week was most popular for children playing soccer in Tree City?
6. How many more children played soccer in Tree City on Friday than on Tuesday?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.
Name __________________________
P eri odi c R evi ew 1
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
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 #5: Interpret your answer in a complete sentence.
Use the graph below to answer questions #1 – 6.
Tyrone's Baby Teeth
20
Teeth in Mouth
18
16
14
12
10
8
6
4
2
0
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 27
Tyrone's Age (months)
1. How many teeth did Tyrone have when he was 19 months old?
2. How old was Tyrone when he first had 4 teeth in his mouth?
3. When he was half a year old, how many teeth did Tyrone have?
4. Babies get a total of 20 baby teeth. How old was Tyrone when he first had half of
his baby teeth?
5. What age was Tyrone when he had the most baby teeth?
6. How many more teeth did Tyrone have when he was 24 months old than when he
was 12 months old?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.
Name __________________________
P eri odi c R evi ew 2
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
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 #5: Interpret your answer in a complete sentence.
Use the graph below to answer questions #1 – 6.
Les Washburn's Football Career
Touchdowns Scored
30
25
20
15
10
5
0
2004
2005
2006
2007
2008
2009
Football Season
1. How many touchdowns did Les score in his first football season, 2004?
2. In which season did Les have his first 25-touchdown season?
3. How many touchdowns did Les score in the season in which he finished the first
half of his playing career?
4. The record for touchdowns scored in a season is 30. In which season did Les
score half that many touchdowns?
5. In which season did Les score the fewest touchdowns of his career?
6. How many more touchdowns did Les score in 2006 than 2009?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.
Name __________________________
P eri odi c R evi ew 3
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
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 #5: Interpret your answer in a complete sentence.
Use the graph below to answer questions #1 – 6.
Lilliana's Bowling Scores
95
Lilliana's Score
90
85
80
75
70
65
60
Game 1
Game 2
Game 3
Game 4
Game 5
Game 6
Game Bowled
1. What was Lilliana’s score in the 4th game she bowled?
2. In which game did Lilliana first bowl a score of exactly 85?
3. What was Lilliana’s score in the game where she finished half of her games?
4. Lilliana’s best score ever was 140. In which game did she bowl half of that score?
5. In which game did Lilliana bowl her best score of the 6 games?
6. How many more points did Lilliana score in Game 2 than Game 3?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.
Blank Page
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©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.