The document outlines a simulated teaching lesson on the laws of indices for seventh-grade mathematics at Ashoka Universal School. It details the instructional objectives, methodology, and teacher activities, emphasizing student engagement through examples and cut-outs. The lesson aims for students to understand, identify, and apply the laws of indices in problem-solving while fostering a scientific temper.

1. ASHOKA
ASHOKA INTERNATIONAL CENTER FOR EDUCATION STUDIES AND RESEARCH
Name of the Pupil Teacher:- Sarita Mahto Lesson No.- 1
Name of the school:- Ashoka Universal School Time:- 1.00 to 1.15
Std.:- VII Div.:- A Date:-
Teaching Subject:- Mathematics Type of Lesson:- Simulated
Teaching Unit:- Indices
CONTEXT
Entry Behavior : Students know about the base and index of a given number.
Correlation: Day to day life.
Teaching Aids : cut outs
Content Analysis: Indices
Instructional Objectives and Specifications:-
I) Pupil acquires the knowledge of laws of indices.
a)Pupil identifies the base and index.
b)Pupil states law of indices
II) The pupil develops understanding of laws of indices.
a)Pupil explains how to solve the sums with the help of laws.
b)Pupil expands the given indices.
III)The pupil applies the knowledge of laws of indices.
a)Pupil solves examples related to indices.
Value/ Core component to be highlighted:- Scientific Temper.
Methodology:- Simulated
Reference:- Textbook, Mathematics –Sonia Bhasin

2. Teaching points/ Content Teacher Activities & procedure Support System / CB Work
Step 1-Arousal of previous
knowledge and previous
experiences
Step 2-Presentation of
examples and data
Step 3-Inductive process
1) 1st Law
m n m+n
a X a = a
Good morning students…
Ok,tell me in this example which is
index and which is base.
Teacher asks how do we define index.
What is another name to index.
How we can expand a number ?
Teacher shows cut-outs-
and asks students to read it.
Teacher asks to expand it.
(Teacher writes on chalk board)
Teacher shows second cut-out of 2
and asks students to read it.
Teacher writes on chalk board.
Teacher takes one more sum
shows cut out of….
and ask student to read it and
expand it.
(Teacher writes on chalk board)
Teacher explains - In both examples-
Base were same , index were
different, Operation was
multiplication, to get product, we
added indices.
m n m+n
Thus- a X a = a
5 3
5 , 6
3
4
2 X 2
2X2X2X2
2 4
2 X 2
=(2X2) X (2X2X2X2)
=2X2….. Six times
6
=2
2 4 6
Thus 2 X 2 = 2
3 5
5 X 5
=(5X5X5) X (5X5X5X5X5)
=5X5…..Eight times
8
= 5
3 5 8
Thus 5 X 5 = 5
m n m+n
Thus a X a = a

3. Step4-Presentation and
confirmation of final abstract
generalization
Step5-Deductive process
Step 6 -Creation of new
examples
Step 7-Nature and Evaluation
of Inductive –
Deductive method
Teacher asks questions….
Teacher takes few more examples
based on law of indices
Teacher ask student to solve examples
based on law of indices
Teacher asks is given example right..
If not then why..
In this way we can prove that if base
are same we can add the index
Indices are a useful way of more simply
expressing large numbers. They also
present us with many useful properties
for manipulating them using what are
called the Law of Indices.
Thus today we have studied about one
law of indices
m n m+n
Thus- a X a = a
2 3
1) 4 X 4 = ?
4 raise to 2
4 raise to 3
2+3 5
4 = 4
4 7
a) 6 X 6 = ?
3 4
b)8 X 8 = ?
3 4
4 X 3