In mathematics, a pair consists of two objects that go together, and when objects can be grouped into perfect pairs with nothing left over, the total number is even; when one object remains unpaired, the number is odd. This concept helps us understand that even numbers are multiples of two (2, 4, 6, 8, 10, 12) while odd numbers leave a remainder of one when divided by two (1, 3, 5, 7, 9).
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NCERT_textbook_Maths Mela_Grade-4_Subject-Mathematics_Chapter 3_Patterns Around UsAdded:
Sorry, sorry. Sorry for keeping you waiting. I couldn't find the other socks, so I have to come without socks.
>> No problem. You could have just come with one sock.
>> That's funny. You know, Francis, socks always come in two. Well, in this one, he's incomplete.
>> Yeah, you are right. Socks come in pairs.
>> Yes, just like shoes. One alone is useless.
>> We're already running late for the school. Let's go now.
>> Yes, yes, let's go.
>> Oh, Rohan, I just heard that your pair, Ritesh, is absent today. You have to sit alone.
>> Okay, Aditi.
Mhm, pairs. Socks are a pair. Shoes are a pair. Even my eyes are a pair. So many pairs everywhere.
>> [music] >> Good morning, ma'am.
>> Good morning, class. Sit down.
>> Thank you, ma'am.
>> Let's quickly recall our last lesson.
Who remembers what we discussed?
Aditi, can you tell me what we talked about in the previous class?
>> Ma'am, we discussed chapter two, hide and seek, that is different types of view, such as top view and side view.
>> Yes, Rohan.
>> Ma'am, I was thinking we see things from different views, but what about things that come in pairs? Why are pairs important?
>> That's a very thoughtful question, Rohan. Let's explore it together. As it's also our topic for today's class, can anyone of you name something that comes in pairs?
Yes.
>> Slippers and shoes.
>> Chopsticks and gloves.
>> Mhm.
>> Scissors, headphones, and earrings.
>> Wonderful.
All these come in pairs. That is, two things that go together.
We can make pairs. It will make counting easier for us. Let me show you. Please come forward.
>> [music] >> I paired buttons for you.
How many pairs are there?
>> There are five pairs of buttons of the same color.
>> Good.
How many buttons are there?
>> Ma'am, there are 10 buttons.
>> How did you count them?
>> Five pair means 2 * 5, which is equal to 10. That is, 5 * 2.
>> Well done, Shiksha.
You may take your seats now.
One pair is two objects.
Two pairs are >> Four objects.
>> Three pairs ARE >> SIX OBJECTS.
>> WHAT PATTERN [music] do you see?
>> They are multiples of two.
>> Mhm. Yes, Rohan.
>> Pair means two things that go together.
>> Right.
They are even numbers, too.
>> Even numbers.
>> Yes. When we can group objects into pairs with nothing left over, the number is even. [music] If one is left out, it's odd. Let's count in group. I have seven crayons and six color pencils.
>> [music] >> Let's pair them. Please come forward.
>> [music] >> One left out. an odd. Seven crayons.
>> Nothing left over, it's an even six color pencils.
>> Great. Let's try again with pens and pencils. [music] >> [music] >> Nothing left over, it's an even 12 pens.
>> One left out, it's an odd. Nine pencils.
>> Please go back to your seats.
So, we have found even numbers that were paired are >> [music] >> 12 and six, whereas odd number that remained unpaired are seven and nine.
We learned that pairs help us understand even and odd numbers. The numbers that make perfect pairs are even numbers.
Can someone tell me whether the number of students in class is even or odd?
Yes, Aditi?
>> Ma'am, I think we are 15 students in class. It's an odd number.
>> Mhm. Actually, our class has 16 students including Ritesh. In that case, our classroom has an even number of students.
>> Oh, no. I forgot Ritesh. He is absent today.
>> Wow, that's a great observation. You both are correct. Pairs are more important than I thought. I cannot play Ludo and chess without pairing. Have you observed the clock?
Can you list the even and odd numbers?
Yes?
>> Ma'am, can I tell the odd number for the wall clock?
>> Yes, why not?
>> 1 3 5 7 9 and 11.
>> Great. Francis, can you try the even numbers?
>> 2 4 6 8 10 and 12.
>> Exactly. Both of you are correct. So, class, what did we learn today?
Yes, Rohan.
>> Today, we learned that if everything has a pair buddy, it's even.
>> [music] >> If someone's alone, it's odd.
>> Exactly.
So, viewers, it's your turn [music] to tell us how many brothers and sisters do you have? Is it an even or odd number?
In which games do we need even number of players?
>> [music] >> And in which games do we need odd number of players?
Can you give some daily life examples in [music] which the concept of even and odd number is used?
>> [music] [music]
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