The teacher introduced the concept of decimals with never-ending digits to students using flashcards depicting waves, numbers, and the rotation of the earth. Through discussion, students realized these concepts have no end. The teacher then explained decimals with never-ending digits using examples of dividing fractions like 1/3 and 1/6, which result in repeating decimals. Students practiced dividing fractions like 5/11 and were able to write the decimals with repeating digits, showing their understanding of numbers that have no definitive end.

2. GENERAL DETAILS
Teacher’s name : K.V.Padmaja
Subject : Mathematics
Class : IX
Chapter : Rational Numbers
Topic : Decimals with never ending digits
Instructional aim : To make the students understand the concept of
Never ending and familiarise with decimal forms
with never ending digits
Supports used : Flash cards, routine classroom support materials like
black board, chalk etc.
Learning tools : Observations, discussions, explanations and
interpretations
Basics needed : decimals, fractions, division of numbers

3. Teaching process Learner responses
Concept introduction:
Teacher begins the classroom interaction
session with a game using flashcards.
Flashcards with pictures/drawings are shown
to the students. They are expected to
identify the similarity of the concept used in
these flash cards through observation and
interpretation of the concept
Flash card no 1. : Waves
Teacher exhibits the flashcard which depicts
waves
Teacher asks the students to tell what they
think or feel about the waves.
Teacher appreciates the effort
Flash card no.2 : Numbers
The next exhibit is a flash card on numbers
and teacher asks the students to consolidate
their observation on numbers
Students eagerly listens
Students observe, discuss and
identify it.
Students’ collective inference are:
 Waves are found in the sea
 They keep coming and
going
 They don’t stop.

4. Flash card no.3 : Rotation and revolution of
earth
This flash card shows the earth rotating and
revolving around the sun. Teacher asks them
to watch carefully and then interpret their
findings in a similar manner
Arriving at the name of the concept:
Teacher adores the effort of the students.
She asks them to recognise the common
concept underlying in these pictures.
Encourages them to find a key word suitable
for the concept
Teacher suggests the appropriate conceptual
key word as “never ending”.
Students identify and infer as:
 Numbers can be counted
 They keep on increasing
 They are consecutive and
continuous
 They also are never ending
Their findings are :
 Sun keeps on shining
 Earth keeps on rotating
 Earth revolves around the
sun
 These processes do not
stop
 They are never ending
processes
Students suggest the key words as
: non-stop, continuous, unlimited,
infinite, never ending

5. Teacher directs the students about the topic
as decimals with never ending digits.
Explanation of the concept of never ending
with examples based on division of
fractions.
Example no.1:
Teachers recalls division of fractions done in
the earlier classes and starts with the
example of the fraction 1/8.
Students are asked to divide and find the
decimal form of this fraction.
Teacher approves their answer
Teacher asks them to divide 1/3 and find
the answer. Teacher reminds them that the
process of division is the same as the above
question.
Teacher asks them to find the similarity of
the above mentioned concept in the division
of 1/3
Students divide and say that
1/8 = 0.125
Students divide and write their
answer
0.333…
3 1.0
9
10
9
10
9
1
….
Students say that the division
does not stop and it is never
ending

6. Teacher appreciates and proceeds in the
explanation that some fractions with
divided, will never end and will never get a
decimal actually equal to it, as in the case of
1/3.
Here the decimal is represented with 3 dots
(…) to show that it continues and goes on,
without ending.
Example no.2 :
The students are asked to divide the fraction
1/6 and convert it into its decimal forms
Students understand the
explanation.
They perform the division.
0.1666…
6 1.0
6
40
36
40
36
4
…
Students record their finding as
1/6 = 0.1666…
Students understand the decimal
form with never ending digits

7. Work out question for the students:
1. Divide 5/11 and find its decimal forms
Teacher calls a student to work out this
problem on the black board.
Teacher appreciates the students.
Verification and review of the teaching
process:
Teacher verifies the outcome of the teaching
learning process through oral interactions
with the students.
A review of the topic is explained to the
students in areas of difficulty and make sure
that the concept is fully understood by the
students.
Practice problems:
1. Divide 1/9 and write its decimal form
2. Divide 2/11 and write its decimal form
Students perform the division as
follows:
0.4545…
11 5.0
4 4
60
55
50
44
60
55
5...
Ans : 5/11 = 0.4545…