DR.
AMBEDKAR COLLEGE OF
EDUCATION
B.ED II Sem 2022 2024 Batch
INNOVATIVE LESSON
Presented By :
Sahana T
Reg No:-U03CR22E0036
Dr. Ambedkar College of Education
J C Nagar, Bengaluru
Class: IX Subject : Mathematics Date: 04-10-
2023
Topic:
Natural numbers
Whole numbers
1,2,3,4,5,6,7,8....
0,1,2,3,4,5,......
2,4,6,8,10,...
1,3,5,7,9,....
2X2=4
Class: IX Subject : Mathematics Date: 04-10-2023
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
Definition:-
The product of two equal numbers is called square numbers
Example:
2X2=4
5 X 5 = 25
Class: IX Subject : Mathematics Date: 04-10-2023
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
1=1X1
4=2X2
9=3X3
16 = 4 X 4
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
If "a" is an integer and b = a X a we say "b " is a
perfect
square Here "a" is
an integer
Square can be
denoted as
a^2
Class: IX Date: 04-10-
Subject : Mathematics
2023
Topic:-SQUARE NUMBERS AND SQUARE
4=2X2
ROOTS
Positive
integers
4 = (-2 ) X (-2 ) Positive
integers
Statement:-"Perfect square is either equal
to "0" or must be a positive integers.It can
never be a negative integer
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
Even and odd squares ROOTS
If a number is even so it's square is also even
If a number is odd so it's square is also odd
11 X 11 = 121
16 = 4 X4
5 X 5 = 25
7 X 7 = 49 4=2X2
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
The digits ends with the one of the numbers 0,1,4,5,6,9
we get perfect square
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
The digits ends with the numbers 2,3,7,8 we
cannot get perfect square
0,1,4,5,6,9
2,3,7,8
Statement:-"A perfect square always ends of
the digits 0,1,4,5,6,9. If the last digit of a
number is
2,3,7,8 it cannot be a perfect square
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
The number of zeros at the end of
a square is always an even
number
Statement:-"If a number has "k"zeros at the
end then it's square ends in "2k" zeros "
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
1 = 1 = 1^2 ROOTS
1 +3 = 4 = 2^2
1 + 3 +5 = 9 = 3^2
1 + 3 + 5 + 7 = 16 = 4^2
1 + 3 + 5 + 7 + 9 = 25 = 5^2 Perfect
squares
Adding of the odd numbers we get square numbers
Statement:-"The sum of the first
'n' odd natural numbers is equal
to 'n^2' for every natural number
'n'.
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
SQUARE ROOTS
The square of a number x is that a number which
when multiplied by itself gives x as the product and
the square root of x is denoted by √x.
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
Square root of a perfect square by prime
factorisation
Step 1- Obtain the given
number.
Step 2- Write the Prime Factors in
pairs. Step 3-Group the Prime Factors
in Pairs. Step 4- Write the numbers as
square root of prime factors.
Step 5- Take one factor from each
pair. Step 6- Find the product of
factors obtained in Step 5.
Step 7- The product obtained in Step 6 is
the required square root.
Class: IX Date: 04-10-2023
Subject : Mathematics
Topic:-SQUARE NUMBERS AND SQUARE
ROOTS
Example 1: find the square root of 4356
66
Home work
1. Give the perfect square numbers
2. Check the first 5 and 9 odd numbers are
perfect square
3. Find out square root of 7856809
