INNOVATIVE TEACHING MANUAL

1. 1
INNOVATIVE TEACHING MANUAL
NAME OF THE TEACHER : SANDHYA J DATE :
STANDARD : IX – A DURATION : 45 Minutes
SUBJECT : MATHEMATICS PERIOD :
UNIT : STATISTICS
TOPIC : FREQUENCY POLYGON
CURRICULAR STATEMENT:
CONTENT OUTLINE
STATISTICS - FREQUENCY POLYGON
The pupil understands the statistical idea of frequency and the way to construct a
frequency polygon of a given data.
LEARNING OUTCOMES:
Enable the students in
(i) comprehending about the preparation of a frequency table.
(ii) constructing frequency polygon with the given data.

2. 2
CONTENT ANALYSIS:
TERMS: FREQUENCY POLYGON
FACTS:
(i) Statistics is the branch of Mathematics which deals with the organized
presentation and indepth analysis of such data and the methods of drawing logical
conclusions from them.
(ii) The presentation of numerical data can be done in the form of pictures and
tables.
(iii) Numbers used in studying some situation are called scores in Statistics.
(iv) Frequency is the number of times a score is repeated.
(v) The table prepared by using frequencies is called a frequency table.
(vi) A histogram is a graphical representation of a frequency distribution in the
form of rectangles with class intervals as bases and heights proportional to
corresponding frequencies such that there is no gap between any two successive
rectangles.
(vii) A frequency polygon is a graphic representation of a given frequency
distribution; obtained by joining the midpoints of the classes of a histogram.
CONCEPT:
FREQUENCY POLYGON

3. 3
PRE-REQUISITES:
The pupils have already learned about
(i) Frequency distribution table
(ii) Histogram
TEACHING-LEARNING MATERIALS:
 Computers
 Smart phones
REFERENCES:
MATHEMATICS - STANDARD IX(PART 1), GOVT OF KERALA
PUPIL ACTIVITY TEACHER RESPONSE
INTRODUCTION
Students are eager to get the topic
Teacher suggests the topic “Frequency Polygon” and
advice the students collect information about it.

4. 4
PUPIL ACTIVITY TEACHER RESPONSE
Students grouped among themselves into two groups –
A and B.
Students browse about frequency polygons through
smartphones.
Group A collected details about the following:
Teacher checked  FREQUENCY DISTRIBUTION the response of Group A.
 HISTOGRAM
 FREQUENCY POLYGON

5. 5
PUPIL ACTIVITY TEACHER RESPONSE
Group B collected details about the following:
PRESENTATION
Akshay from Group A presented about
frequency distribution table and the
construction of frequency distribution
table with the help of the following
question:
Teacher again checked the response of Group B.
Teacher consolidated and asked students to present the
details collected.
FREQUENCY POLYGON WITH
ILLUSTRATIVE EXAMPLES

6. 6
PUPIL ACTIVITY TEACHER RESPONSE
All students started constructing frequency table
Teacher assesses Akshay’s performance and checked
whether the students are performing well.
The marks that 42 students of class 9A
got in the continuous evaluation for I.T are
given below. Make a frequency table taking
each marks separately.
9,8,10,7,6,10,8,7,9,8,5,6,9,4,7,6,9,8,5,4,9,
8,7,6,7,8,5,4,7,6,8,4,7,6,7,5,9,8,5,4,4,8

7. 7
Students constructed frequency distribution table
Grade Students
4 6
5 5
6 6
7 8
8 9
9 6
10 2
TOTAL 42
Shanitha from group A about histogram to recall it.
The following activity is given.
Shanitha : Friends, now you can see that it is a rainy
season, right?
Students : Yes.
Shanitha : Then, here is an interesting question
regarding rain.
Draw a Histogram of the rainfall during June to
August.
Rain(mm) 10-20 20-30 30-40 40-50 50-60
Days 8 10 14 20 15
Teacher appreciated the students for their performance.

8. 8
p P UPIL ACTIVITY TEACHER RESPONSE
Students drawn Histogram correctly
Dhanya from group B explained about frequency polygon
with the help of the above illustrative example:
Dhanya: Mark the midpoints of the top of each rectangle
and connect these points using straight lines. A new class 0-
10 before the first one of the table and another new class
60-70 after the last class of the table are introduced with
frequency 0 in each so that a frequency polygon can be
attained.
Teacher checked all answers.
Teacher called another student for presenting about
frequency polygon

9. 9
PUPIL ACTIVITY
Students drawn correctly
25
20
15
10
5
FREQUENCY POLYGON
Students among themselves prepared an algorithm for
drawing frequency polygon and displayed.
TEACHER RESPONSE
Teacher checked the figure
Teacher appreciated the students
0
0 20 40 60 80
DAYS
Step I: Take a graph paper and draw x an y axes. mark
them as OX and OY.
step ii: Choose a suitable scale for X and Y axes to represent
class limits and frequencies respectively.
step iii: Mark the midpoints of each class.
step iv: Join these points with a scale and pencil.

10. 10
GENERALIZATION
APPLICATION
Students searched and finally they got the answer.
Teacher arised a doubt:
If the data collected is very huge, what will you do for
drawing a frequency polygon?
A frequency polygon is a graphic
representation obtained by joining the
midpoints of the class interval.

11. 11
PUPIL ACTIVITY
We can use any spreadsheet program to do this. In
GNU/LINUX, some such programs are open office Calc and
Gnumeric.
Students further explained with the help of the projector
TEACHER RESPONSE
Teacher satisfied with the presentation

12. 12
One student presented as follows:
Height No.of people
140-150 5
150-160 7
160-170 18
170-180 10
RECAPITULATION
(i) What is frequency polygon?
(ii) Write the steps in the construction of frequency polygon.
Conduct a field study to
get the data about any
phenomena in our day to
day life .

13. 13
Teacher advices the students to reflect on the class.
FOLLOW-UP ACTIVITY
Prepare a learning module for the “Frequency polygon”