Finding Squares of one digit

Objective

• Finding squares of a number by repeated multiplication.
• Identifying the same number of objects in different group.
• Recognizing as the number increases the square also increases.

Estimated time

40 min

Materials:

Beads(or any other object),sheet,pencil.

Prerequisites/Instructions

1. The children should be familiar with counting of objects.
2. They should know the multiplication/product of numbers.

Process

team 1

Initially the teacher gives a set of beads to three different group of students and ask each group to count the number of beads.

Each group starts to count the number and comes with their answers as 3 beads in each group.

Now the teacher instruct to check the number of beads in all the groups,Therefore all the group found 3 in number.

The teacher ask all the three group to tell the total number of beads found with them and the students answers it as 9beads.

The teacher instruct to write in the multiplication form with the help of the numbers obtained,Each group writes in the form of 3 * 3=9 beads.

The teacher asks what can you observe in the above multiplication,The students answers repetition of number 3 twice.

team 2

Similarly the teacher gives some beads to six different groups and tell each each group to count the number of beads and check whether all the groups have same in number.

The children counts the number of beads in their group and finds in other groups also, they found that there were 6 beads among six groups.

Now the teacher instructs them to write it in the form of multiplication and children came with the answers as 6*6=36 beads.

Teacher asks what do u observe with this, the students answers it as 6 is repeated twice.

Therefore the activity can be done with different number of beads and different group of students

Refer this link for the squares of the number https://www.youtube.com/watch?v=PycU-hi4rl0

Hence the teacher helps out the students with different number of beads where the students figures it out the repetition of numbers twice, with this the teacher ask the students what do we tell when the same number is repeated twice.

The teacher concludes that the repetition of the same number twice is called the square of the number which is also called as perfect square.

In general, if we consider a natural number m can be expressed as n^2,where n is also a natural number, then m is a square number.

for example 7*7=7^2=49,therefore 1,4,9,16,25......... are perfect squares.

What about the numbers which comes in between the two square numbers?

If we see the numbers 5^2=25 and 6^2=36 there comes many natural numbers between 25 and 36 but we can notice that there is no natural number between 5 and 6 so,the numbers which comes in between two perfect squares or square numbers are called non perfect squares.

How to find square of a negative numbers?

Finding square of a negative number

• As we have already learnt how to find a square of a natural number,suppose if there is any integer -2.
• How do we find its square?
• Do we have the square of negative integers also?
• To answer all these questions let us recall the squaring of a natural number
• consider 3^2,we can write 3^2 as 3x3 which is 9
• similarly let us take any negative integer such as (-4)^2,
• We can write this as (-4)*(-4), when we use the rules of multiplication of two negative integers the product becomes positive such that [- x - =+]then the square also becomes positive.

Evaluation

1. The repeating of the same number twice is called as ___________.
2. What is the square of the number 6?
3. Name the operation used to find the square of a number?
4. The product obtained is 16 then how many beads are supposed to be taken?
5. Name the perfect square between 20 and 30?
6. What is the square of 0?