curriculum
GRADE
Mathematics 4
Quarter 4 Week 1
Collecting,
Presenting and
Interpreting Data
Coleen L. Policarpio
Teacher I
Objectives:
At the end of the lesson, the learners will able to:
Present data in a tabular form, or in a single line
graph.
Interpret data presented in a tabular form, or in
a single line graph.
Solve problems using data for at most two
variables in a tabular form, or in a single line
graph.
PRAYER
Checking of Attendance
Class Rules
COUNT ME IN!
Count all the specified object.
10
Count all the specified object.
Count all the specified object.
8
Count all the specified object.
Count all the specified object.
9
Count all the specified object.
Count all the specified object.
5
Count all the specified object.
Count all the specified object.
6
Count all the specified object.
Count all the specified object.
6
Count all the specified object.
Let us Sing
MATH TIME!
IT’S MATH TIME
Papaparapa, papararapapa (2x)
Let’s add the love and the hate, let us
subtract
This is our Math, this is our time
Everybody ready, MATH TIME!
Add, subtract, multiply, divide, MATH
TIME! (3x)
Arrange the following
jumbled letters into words.
TBLAAUR FRMO
LNIE GARPH
TABULAR FORM
LINE GRAPH
Are you familiar with
the given words?
Are the given words
will help you to
present data?
Collecting,
Presenting and
Interpreting
Data
Collecting Data
means gathering information or facts to
analyze, study, or use for decision-
making. This can be done through various
methods, such as surveys, observations,
interviews, experiments, or existing
For example:
• In education, teachers collect data on
students' test scores to identify learning
gaps.
• In research, scientists collect data from
experiments to draw conclusions.
• In business, companies collect customer
Interpreting Data
-means analyzing and understanding the
information presented in a table or a single-
line graph to identify patterns, trends, or
insights. It involves making sense of numerical
or categorical data and using it to answer
questions, make decisions, or draw
Tabular Form
Tabular form means organizing
data in a table format with rows
and columns. This makes
information easy to read,
compare, and analyze.
For example:
Animals Tally Total Count
dog 3
cat 5
bird 8
fish 4
-
Example 1:
Make a simple tally chart for
Grade 4 Courage of San Gabriel
Elementary School, showing a
survey of favorite fruits in a
class:
Apple- 13, banana- 15 , mango-
Example 1:
Make a simple tally chart for Grade 4 Courage of San Gabriel Elementary
School, showing a survey of favorite fruits in a class: Apple- 8, banana-
10 , mango- 2, orange- 5
FRUITS TALLY TOTAL COUNT
Favorite Fruits of Grade 4 - Courage
Example 1:
Make a simple tally chart for Grade 4 Courage of San Gabriel Elementary
School, showing a survey of favorite fruits in a class: Apple- 8, banana-
10 , mango- 2, orange- 5
FRUITS TALLY TOTAL COUNT
apple
banana
mango
orange
Favorite Fruits of Grade 4 - Courage
Example 1:
Make a simple tally chart for Grade 4 Courage of San Gabriel Elementary
School, showing a survey of favorite fruits in a class: Apple- 8, banana-
10 , mango- 2, orange- 5
Favorite Fruits of Grade 4 - Courage
FRUITS TALLY TOTAL COUNT
apple
banana
mango
orange
-
-
-
-
-
-
Example 1:
Make a simple tally chart for Grade 4 Courage of San Gabriel Elementary
School, showing a survey of favorite fruits in a class: Apple- 8, banana-
10 , mango- 2, orange- 5
Favorite Fruits of Grade 4 - Courage
FRUITS TALLY TOTAL COUNT
apple
banana
mango
orange
-
-
-
-
-
-
13
15
7
6
Answer the following
questions:
1. What is the most favorite fruits?
2. What fruit is the least favorite?
3.How many Grade 4 pupils
banana
orange
41 pupils
Line Graph
A line graph is a type of graph
that shows information using
points connected by lines. It is
used to display changes over
time or trends in data
Example 2. Construct a line graph for the
given data.
Ian’s scores in Five Math Quizzes
QUIZ NUMBER SCORE
1
2
3
4
5
5
15
10
5
15
Construct a line graph for the given data.
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Construct a line graph for the given data.
Quiz Number
Score
5
4
3
2
1
0
5
10
15
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Construct a line graph for the given data.
Quiz Number
Score
5
4
3
2
1
0
5
10
15
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Construct a line graph for the given data.
Quiz Number
Score
5
4
3
2
1
0
5
10
15
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Construct a line graph for the given data.
Quiz Number
Score
5
4
3
2
1
0
5
10
15
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Construct a line graph for the given data.
Quiz Number
Score
5
4
3
2
1
0
5
10
15
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Construct a line graph for the given data.
Quiz Number
Score
5
4
3
2
1
0
5
10
15
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Construct a line graph for the given data.
Quiz Number
Score
5
4
3
2
1
0
5
10
15
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Answer the following
questions:
1. What quiz number has the
highest score?
2. What quiz number has the least
score?
3.What is the total score of Ian in
Quiz 2 and 5
Quiz 1 and 5
50
Example 3. Construct a line graph for the
given data.
Angel’s Savings for 5 days
DAY SAVINGS
1
2
3
4
5
10
20
7
9
15
Construct a line graph for the given data.
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Construct a line graph for the given data.
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Day
Savings
5
4
3
2
1
5
10
15
20
0
Construct a line graph for the given data.
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Day
Savings
5
4
3
2
1
5
10
15
20
0
Construct a line graph for the given data.
1. Make a graph.
2.Write the labels on the left side and below the graph.
3.Put a mark/dot at the point where the vertical line (which
represents an object below the graph and the horizontal
line (which is the value of the object) meet.
4.Connect the dots with the line segment.
Day
Savings
5
4
3
2
1
5
10
15
20
0
Answer the following
questions:
1. How much did Angel’s save on
Day 3?
2. On which day was the highest
amount that Angel saves?
3.What is the total amount Angel
7 pesos
Day 2
61 pesos
Activity
Time!
Fixing
Skills:
Present a data in a
tabular form.
Make a simple tally chart, showing a
survey of number of visitors of Villa
Resort in a certain week:
Monday- 150, Tuesday- 175, Wednesday-
150, Thursday-200, Friday-250.
DAY NUMBER OF VISITORS
Fixing
Skills:
Make a table using the given data, then
answer the following questions.
Number of visitors of Villa Resort in a certain
week
DAY NUMBER OF VISITORS
Monday
Tuesday
Wednesday
Thursday
Friday
Fixing
Skills:
Make a table using the given data, then
answer the following questions.
Number of visitors of Villa Resort in a certain
week
150
175
150
200
250
Generalization:
Differentiate the use
of Tabular Form and
Line Graph in
presenting and
interpreting data.
Application:
Group
Activity
Present and interpret the data.
DAY NUMBER OF VISITORS
Number of visitors of Villa Resort in a certain
week
Group 1: PRESENT ME!
Group 2: GRAPH ME!
Present a data in a Line Graph
Number of visitors of Villa Resort in a certain
week
DAY
Number
of
Visitors
Monday
100
15
0
200
250
50
Tuesday Wednesday Friday
Thursay
Solve and answer the following questions:
1. How many visitors visit on Tuesday?
2. What day has the highest visitors in the Villa
Resort?
3. What day has the least visitors?
4. How many more visitors on Friday than on
Monday?
5. What is the total number of visitors in the
Villa Resort in the given week?
Group 3: SOLVE ME!
Activity Time!
Present
Time!
Present and interpret the data.
DAY NUMBER OF VISITORS
Monday
Tuesday
Wednesday
Thursday
Friday
Number of visitors of Villa Resort in a certain
week
150
175
150
200
250
Group 1: PRESENT ME!
Group 2: GRAPH ME!
Present a data in a Line Graph
Number of visitors of Villa Resort in a certain
week
DAY
Number
of
Visitors
Monday
100
15
0
200
250
50
Tuesday Wednesday Friday
Thursay
Solve and answer the following questions:
1. How many visitors visit on Tuesday?
2. What day has the highest visitors in the Villa
Resort?
3. What day has the least visitors?
4. How many more visitors on Friday than on
Monday?
5. What is the total number of visitors in the
Villa Resort in the given week?
Group 3: SOLVE ME!
175 visitors
Friday
Monday &
Wedenesday
100 visitors
925 visitors
Analyze the given situation. Draw a line
graph that represents the data on the
table and answer the questions that
follows.
A mini zoo recorded the number of
their visitors for six days. The table
below shows their record.
Evaluation:
Solve and answer the following questions:
1. How many visitors were there on Day 3?
2. How many more visitors were there on Day 5 than
on Day 1?
3. How many fewer visitors were there on Day 6 than
on Day 2?
4. How many days did the zoo have fewer than 500
visitors?
5. If the ticket per visitor cost ₱150, how much is the
ticket sale on Day 1?
Evaluation:
Analyze the situation presented on a
line graph and answer the questions
that follows.
George works as a salesman in an
authorized car showroom. He records
the number of cars he sold in five days
(Monday to Friday) on a line graph.
Assignment:
1. How many cars were sold in 5 days?
2. On which day were the maximum number of
cars sold?
3. How many days did George have sold cars
fewer than 6?
4. How many more cars were sold on Tuesday
than on Monday?
5. If a car cost ₱850 000, how much did he sell
on Tuesday?
Assignment:
HAPP
Y
Learning!
THANK YOU!

Q4-MATH-COT-CLASSROOM OBSERVATION-COLLECTING DATA

  • 1.
    curriculum GRADE Mathematics 4 Quarter 4Week 1 Collecting, Presenting and Interpreting Data Coleen L. Policarpio Teacher I
  • 2.
    Objectives: At the endof the lesson, the learners will able to: Present data in a tabular form, or in a single line graph. Interpret data presented in a tabular form, or in a single line graph. Solve problems using data for at most two variables in a tabular form, or in a single line graph.
  • 3.
  • 5.
  • 6.
  • 7.
    Count all thespecified object.
  • 8.
    10 Count all thespecified object.
  • 9.
    Count all thespecified object.
  • 10.
    8 Count all thespecified object.
  • 11.
    Count all thespecified object.
  • 12.
    9 Count all thespecified object.
  • 13.
    Count all thespecified object.
  • 14.
    5 Count all thespecified object.
  • 15.
    Count all thespecified object.
  • 16.
    6 Count all thespecified object.
  • 17.
    Count all thespecified object.
  • 18.
    6 Count all thespecified object.
  • 19.
  • 20.
    IT’S MATH TIME Papaparapa,papararapapa (2x) Let’s add the love and the hate, let us subtract This is our Math, this is our time Everybody ready, MATH TIME! Add, subtract, multiply, divide, MATH TIME! (3x)
  • 21.
    Arrange the following jumbledletters into words. TBLAAUR FRMO LNIE GARPH
  • 22.
  • 23.
    Are you familiarwith the given words? Are the given words will help you to present data?
  • 24.
  • 25.
    Collecting Data means gatheringinformation or facts to analyze, study, or use for decision- making. This can be done through various methods, such as surveys, observations, interviews, experiments, or existing
  • 26.
    For example: • Ineducation, teachers collect data on students' test scores to identify learning gaps. • In research, scientists collect data from experiments to draw conclusions. • In business, companies collect customer
  • 27.
    Interpreting Data -means analyzingand understanding the information presented in a table or a single- line graph to identify patterns, trends, or insights. It involves making sense of numerical or categorical data and using it to answer questions, make decisions, or draw
  • 28.
    Tabular Form Tabular formmeans organizing data in a table format with rows and columns. This makes information easy to read, compare, and analyze.
  • 29.
    For example: Animals TallyTotal Count dog 3 cat 5 bird 8 fish 4 -
  • 30.
    Example 1: Make asimple tally chart for Grade 4 Courage of San Gabriel Elementary School, showing a survey of favorite fruits in a class: Apple- 13, banana- 15 , mango-
  • 31.
    Example 1: Make asimple tally chart for Grade 4 Courage of San Gabriel Elementary School, showing a survey of favorite fruits in a class: Apple- 8, banana- 10 , mango- 2, orange- 5 FRUITS TALLY TOTAL COUNT Favorite Fruits of Grade 4 - Courage
  • 32.
    Example 1: Make asimple tally chart for Grade 4 Courage of San Gabriel Elementary School, showing a survey of favorite fruits in a class: Apple- 8, banana- 10 , mango- 2, orange- 5 FRUITS TALLY TOTAL COUNT apple banana mango orange Favorite Fruits of Grade 4 - Courage
  • 33.
    Example 1: Make asimple tally chart for Grade 4 Courage of San Gabriel Elementary School, showing a survey of favorite fruits in a class: Apple- 8, banana- 10 , mango- 2, orange- 5 Favorite Fruits of Grade 4 - Courage FRUITS TALLY TOTAL COUNT apple banana mango orange - - - - - -
  • 34.
    Example 1: Make asimple tally chart for Grade 4 Courage of San Gabriel Elementary School, showing a survey of favorite fruits in a class: Apple- 8, banana- 10 , mango- 2, orange- 5 Favorite Fruits of Grade 4 - Courage FRUITS TALLY TOTAL COUNT apple banana mango orange - - - - - - 13 15 7 6
  • 35.
    Answer the following questions: 1.What is the most favorite fruits? 2. What fruit is the least favorite? 3.How many Grade 4 pupils banana orange 41 pupils
  • 36.
    Line Graph A linegraph is a type of graph that shows information using points connected by lines. It is used to display changes over time or trends in data
  • 37.
    Example 2. Constructa line graph for the given data. Ian’s scores in Five Math Quizzes QUIZ NUMBER SCORE 1 2 3 4 5 5 15 10 5 15
  • 38.
    Construct a linegraph for the given data. 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment.
  • 39.
    Construct a linegraph for the given data. Quiz Number Score 5 4 3 2 1 0 5 10 15 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment.
  • 40.
    Construct a linegraph for the given data. Quiz Number Score 5 4 3 2 1 0 5 10 15 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment.
  • 41.
    Construct a linegraph for the given data. Quiz Number Score 5 4 3 2 1 0 5 10 15 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment.
  • 42.
    Construct a linegraph for the given data. Quiz Number Score 5 4 3 2 1 0 5 10 15 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment.
  • 43.
    Construct a linegraph for the given data. Quiz Number Score 5 4 3 2 1 0 5 10 15 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment.
  • 44.
    Construct a linegraph for the given data. Quiz Number Score 5 4 3 2 1 0 5 10 15 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment.
  • 45.
    Construct a linegraph for the given data. Quiz Number Score 5 4 3 2 1 0 5 10 15 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment.
  • 46.
    Answer the following questions: 1.What quiz number has the highest score? 2. What quiz number has the least score? 3.What is the total score of Ian in Quiz 2 and 5 Quiz 1 and 5 50
  • 47.
    Example 3. Constructa line graph for the given data. Angel’s Savings for 5 days DAY SAVINGS 1 2 3 4 5 10 20 7 9 15
  • 48.
    Construct a linegraph for the given data. 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment.
  • 49.
    Construct a linegraph for the given data. 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment. Day Savings 5 4 3 2 1 5 10 15 20 0
  • 50.
    Construct a linegraph for the given data. 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment. Day Savings 5 4 3 2 1 5 10 15 20 0
  • 51.
    Construct a linegraph for the given data. 1. Make a graph. 2.Write the labels on the left side and below the graph. 3.Put a mark/dot at the point where the vertical line (which represents an object below the graph and the horizontal line (which is the value of the object) meet. 4.Connect the dots with the line segment. Day Savings 5 4 3 2 1 5 10 15 20 0
  • 52.
    Answer the following questions: 1.How much did Angel’s save on Day 3? 2. On which day was the highest amount that Angel saves? 3.What is the total amount Angel 7 pesos Day 2 61 pesos
  • 53.
  • 54.
    Fixing Skills: Present a datain a tabular form. Make a simple tally chart, showing a survey of number of visitors of Villa Resort in a certain week: Monday- 150, Tuesday- 175, Wednesday- 150, Thursday-200, Friday-250.
  • 55.
    DAY NUMBER OFVISITORS Fixing Skills: Make a table using the given data, then answer the following questions. Number of visitors of Villa Resort in a certain week
  • 56.
    DAY NUMBER OFVISITORS Monday Tuesday Wednesday Thursday Friday Fixing Skills: Make a table using the given data, then answer the following questions. Number of visitors of Villa Resort in a certain week 150 175 150 200 250
  • 57.
    Generalization: Differentiate the use ofTabular Form and Line Graph in presenting and interpreting data.
  • 58.
  • 59.
    Present and interpretthe data. DAY NUMBER OF VISITORS Number of visitors of Villa Resort in a certain week Group 1: PRESENT ME!
  • 60.
    Group 2: GRAPHME! Present a data in a Line Graph Number of visitors of Villa Resort in a certain week DAY Number of Visitors Monday 100 15 0 200 250 50 Tuesday Wednesday Friday Thursay
  • 61.
    Solve and answerthe following questions: 1. How many visitors visit on Tuesday? 2. What day has the highest visitors in the Villa Resort? 3. What day has the least visitors? 4. How many more visitors on Friday than on Monday? 5. What is the total number of visitors in the Villa Resort in the given week? Group 3: SOLVE ME!
  • 62.
  • 63.
  • 64.
    Present and interpretthe data. DAY NUMBER OF VISITORS Monday Tuesday Wednesday Thursday Friday Number of visitors of Villa Resort in a certain week 150 175 150 200 250 Group 1: PRESENT ME!
  • 65.
    Group 2: GRAPHME! Present a data in a Line Graph Number of visitors of Villa Resort in a certain week DAY Number of Visitors Monday 100 15 0 200 250 50 Tuesday Wednesday Friday Thursay
  • 66.
    Solve and answerthe following questions: 1. How many visitors visit on Tuesday? 2. What day has the highest visitors in the Villa Resort? 3. What day has the least visitors? 4. How many more visitors on Friday than on Monday? 5. What is the total number of visitors in the Villa Resort in the given week? Group 3: SOLVE ME! 175 visitors Friday Monday & Wedenesday 100 visitors 925 visitors
  • 67.
    Analyze the givensituation. Draw a line graph that represents the data on the table and answer the questions that follows. A mini zoo recorded the number of their visitors for six days. The table below shows their record. Evaluation:
  • 69.
    Solve and answerthe following questions: 1. How many visitors were there on Day 3? 2. How many more visitors were there on Day 5 than on Day 1? 3. How many fewer visitors were there on Day 6 than on Day 2? 4. How many days did the zoo have fewer than 500 visitors? 5. If the ticket per visitor cost ₱150, how much is the ticket sale on Day 1? Evaluation:
  • 70.
    Analyze the situationpresented on a line graph and answer the questions that follows. George works as a salesman in an authorized car showroom. He records the number of cars he sold in five days (Monday to Friday) on a line graph. Assignment:
  • 72.
    1. How manycars were sold in 5 days? 2. On which day were the maximum number of cars sold? 3. How many days did George have sold cars fewer than 6? 4. How many more cars were sold on Tuesday than on Monday? 5. If a car cost ₱850 000, how much did he sell on Tuesday? Assignment:
  • 73.