CONFIDENTIAL 1

Express the following decimals as a fraction:

1) 0.4 2) 1.55

Express the following as decimal:

3) 33 5

4) 14 3

Good Afternoon!Today we will be learning about

Collect and organize data

Let’s warm up :

1) 2 5

2) 11 20

1

3) 6.6 4) 4.67

CONFIDENTIAL 2

Collecting, organizing, displaying, and interpreting data, as well as using the

information to make decisions and predictions have become very important in our society.

Data is collected, sorted, represented, and interpreted from a variety of sources.

Data is then organized, and the information is then compared after it has been collected.

Let’s start withCollect and organize data

CONFIDENTIAL 3

o Analysis of data collected from the survey allows us to summarize and organize, and even make predictions.

o Analyzing data is essential for the growth of students' mathematical understanding.

Survey : A collection of data that answers a

question or questions.

CONFIDENTIAL 4

How is data collected?

o Questionnaires, interviews, and telephone surveys are just a few of the ways that data is gathered. From these collections, tallies, graphs, and line plots are created to help reduce the data into meaningful visual presentations.

CONFIDENTIAL 5

Example:

Fourth grade students in Springfield were asked how many miles from town they live. The results of the survey are shown in the data to the right.

Interpreting information from the above collected unorganized data is difficult.

So, we will organize it in the form of a table.

How many miles do you live from town?1,2,3,8,7,6,4,5,1,7,7,2,2,3,3,4,4,4,5,5,5,5,5,6,6,6,3,3,4,4,4,5

,5

CONFIDENTIAL 6

Table : An organized grouping of information in rows and columns that makes the information easier to understand.

Miles from Town

Frequency

1 2

2 3

3 5

4 7

5 8

6 4

7 3

8 1

CONFIDENTIAL 7

The fifth grade students are asked how many pets do they have? Organize the above data in the form of a table.

How many pets does each student have?4,1,3,6,2,4,0,3,1,0,0,5,7,4,2,1,2,3,5,6,2,2,1,8,0,3,2,5,4,1,1

No. of pets Frequency0 4

1 6

2 6

3 4

4 4

5 3

6 2

7 1

8 1

CONFIDENTIAL 8

TallyA record of counting by making a mark for each item counted.The marks, or tallies, are arranged in groups of 5: IIII

o A tally chart is used when several things are being counted at once, such as in a survey.

o The tally chart in the next slide shows the results of a survey in which students are asked how many miles from town they live?

CONFIDENTIAL 9

Miles from Town Tally1 II

2 III

3 IIII

4 IIII II

5 IIII III

6 IIII

7 III

8 I

Keep track of data in a tally table by making a mark for each thing counted.

CONFIDENTIAL 10

How many pets does each student have?4,1,3,6,2,4,0,3,1,0,0,5,7,4,2,1,2,3,5,6,2,2,1,8,0,3,2,5,4,1,1

Make a tally table from a frequency chart, showing how many pets does a student

have.

No. of pets Tally0 IIII

1 IIII I

2 IIII I

3 IIII

4 IIII

5 III

6 II

7 I

8 I

CONFIDENTIAL 11

Line plots: are another way to organize data as it is being collected. Line plots organize numerical data along a number line.

o The numerical categories in the left column of the tally chart are the same as the numbers displayed along the number line of the line plot.

o For each tally in the chart, one X is placed above the corresponding number on the line plot.

CONFIDENTIAL 12

1 2 3 4 5 6 7 8

XX

XXX

XXXXX

XXXXXXX

XXXXXXXX

XXXX

XXX X

You can see by the number of Xs

that more students live 4

miles from town than 6 miles

Miles from Town

The line plot below shows the results of a survey in which students identified how many miles they live from town.

CONFIDENTIAL 13

Make a line plot from a frequency chart, showing how many pets does a student

have.How many pets does each student have?

4,1,3,6,2,4,0,3,1,0,0,5,7,4,2,1,2,3,5,6,2,7,1,8,0,3,2,5,4,1,1

1 2 3 4 5 6 7 8

XXXXXX

XXXXXX

XXXX

XXXX

XXX

XX X X

Number of pets

0

XXXX

CONFIDENTIAL 14

BREAK

CONFIDENTIAL 15

GAME

Click on the link below for some exciting puzzle

http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw-puzzles/12-piece-jigsaw/09-10-07-bflys.html

CONFIDENTIAL 16

Assignments

1) Organize the following data in the form of a table.

The number of siblings of a group of children surveyed are:

1,3,0,2,1,1,3,2,4,3,1,5,3,2,4,3,4,5,1,3,2,5

No. of siblings Frequency0 1

1 5

2 4

3 6

4 3

5 3

CONFIDENTIAL 17

2) Organize the following data in the form of a tally

table.The number of siblings of a group of children surveyed

are:1,3,0,2,1,1,3,2,4,3,1,5,3,2,4,3,4,5,1,3,2,5

No. of siblings Tally0 I

1 IIII

2 IIII

3 IIII I

4 III

5 III

CONFIDENTIAL 18

The points scored in a game by a group of children are:3,9,8,2,4,5,7,5,8,5,9,7,9,4,3,5,6,7,4,3,7,6,8,7,8,4

3) Organize the following data in the form of a Line plot .

1 2 3 4 5

XXXXX

XXXX

XXXXXX

XXX

XXX

No. of siblings

0

X

CONFIDENTIAL 19

Number of pages read in one weekDay Mon Tues Wed Thur Fri Sat Sun

Number of pages

10 7 11 9 12 5 8

4) Make a tally table from a frequency chart, showing how many pages does Sam reads

each day.

Day Number of pages

Mon IIII IIII

Tues IIII II

Wed IIII IIII I

Thur IIII IIII

Fri IIII IIII II

Sat IIII

Sun IIII III

CONFIDENTIAL 20

Number of pages read in one week

Day Mon Tues Wed Thur Fri Sat Sun

Number of pages

10 7 11 9 12 5 8

5) Make a line plot from a frequency chart, showing how many pages does Sam reads

each day.

Tues Wed Thur Fri Sat Sun

XXXXXXX

XXXXXXXXXXX

XXXXXXXXX

XXXXX

XXXXXXXX

Number of pages

Mon

XXXXXXXXXX

XXXXXXXXXXXX

CONFIDENTIAL 21

Data is collected, sorted, represented, and interpreted from a variety of sources.

Data is then organized, and the information is then compared after it has been collected.

o Analysis of data collected from the survey allows us to summarize and organize, and even make predictions.

o Analyzing data is essential for the growth of students' mathematical understanding.

Survey : A collection of data that answers a

question or questions.

Very Good!Let's Review

CONFIDENTIAL 22

Review

Example:

Fourth grade students in Springfield were asked how many miles from town they live. The results of the survey are shown in the data to the right.

Interpreting information from the above collected unorganized data is difficult.

So, we will organize it in the form of a table.

How many miles do you live from town?1,2,3,8,7,6,4,5,1,7,7,2,2,3,3,4,4,4,5,5,5,5,5,6,6,6,3,3,4,4,4,5

,5

CONFIDENTIAL 23

Review

Table : An organized grouping of information in rows and columns that makes the information easier to understand.

Miles from Town

Frequency

1 2

2 3

3 5

4 7

5 8

6 4

7 3

8 1

CONFIDENTIAL 24

Review

TallyA record of counting by making a mark for each item counted.The marks, or tallies, are arranged in groups of 5: IIII

Miles from Town Tally1 II

2 III

3 IIII

4 IIII II

5 IIII III

6 IIII

7 III

8 I

CONFIDENTIAL 25

Review

Line plots: are another way to organize data as it is being collected. Line plots organize numerical data along a number line.

o The numerical categories in the left column of the tally chart are the same as the numbers displayed along the number line of the line plot.

o For each tally in the chart, one X is placed above the corresponding number on the line plot.

CONFIDENTIAL 26

Review

1 2 3 4 5 6 7 8

XX

XXX

XXXXX

XXXXXXX

XXXXXXXX

XXXX

XXX X

You can see by the number of Xs

that more students live 4

miles from town than 6 miles

Miles from Town

The line plot below shows the results of a survey in which students identified how many miles they live from town.

CONFIDENTIAL 27

You have done a nice job.See you in the next session.