WEBVTT 00:00:00,470 --> 00:00:07,600 Teacher: Does anybody see any pattern that's happening here? What seems to be happening? Oh, everybody seems to be seeing something. 00:00:07,600 --> 00:00:09,930 Ayesha? Ayesha: Two is adding to every one. 00:00:09,930 --> 00:00:15,750 Teacher: Two is adding to every one? What do you mean by that? Ayesha: One plus two is three. 00:00:15,750 --> 00:00:20,480 Teacher: So how does it go to the second one? Ayesha: Two times two is four, plus one. 00:00:20,480 --> 00:00:23,690 Teacher: And where are you getting that plus one from? Ayesha: The middle. 00:00:23,690 --> 00:00:31,870 Teacher: What do you mean? Can you show us? What do you mean by the middle? Josh, can you help her out? 00:00:31,870 --> 00:00:38,320 Josh: The two on the side. The two on the one side, two on the other side, that's four, plus the one on the bottom. 00:00:38,320 --> 00:00:43,550 Teacher: Does anybody see another pattern? Sulanette: I see that they're all odd numbers. 00:00:43,550 --> 00:00:51,200 Teacher: Why do you think they're all odd numbers? Sulanette: Because it starts off with the V1, right? It shows 3. 00:00:51,200 --> 00:01:05,590 Well, 3 is an odd number. If it was an even number, I don't know where it should go in the V pattern, so they're all odd numbers. 00:01:05,590 --> 00:01:13,300 Teacher: I think Sulanette was saying something pretty interesting. She was saying that she didn't know if it could be an even number. 00:01:13,300 --> 00:01:21,160 Can there be an even number? Can I say if there were 84 birds, what V pattern would that be? Could there be 84 birds? 00:01:21,160 --> 00:01:33,890 Ashley: I think that it can never be an even number because as in the V pattern of number 1, that is actually a complete V, and an 00:01:33,890 --> 00:01:38,820 even number couldn't make that. Teacher: Why not? 00:01:38,820 --> 00:01:52,140 Ashley: Because the V is made up of three birds. Teacher: Okay, the V is made up of three birds, yeah? 00:01:52,140 --> 00:02:00,450 Ashley: And if you keep going and adding two, it's made up of all odd number of birds, the V patterns. 00:02:00,450 --> 00:02:12,500 Teacher: So here's the first one right here. And then you say that two more birds come in like that, and so it's going to be odd. Why? 00:02:12,500 --> 00:02:22,180 Ashley: It's going to be odd because if you add two more birds to three, that'll make five, and five's an odd number. 00:02:22,180 --> 00:02:31,480 Teacher: Can someone tell me the number of geese that would be in the V number 10, the 10th pattern along? 00:02:31,480 --> 00:02:34,820 Oscar: I got 21. Teacher: And how did you find that information? 00:02:34,820 --> 00:02:38,200 Oscar: I multiplied 10 by 2 Teacher: Why did you do that? 00:02:38,200 --> 00:02:48,540 Oscar: Because I was thinking that every time the two extra birds come, they come and then they have a group. Then I multiplied it by 00:02:48,540 --> 00:02:56,140 2 and it comes out to 20, and then I added a 1, the one in the middle, then it came out to 21. 00:02:56,140 --> 00:03:04,240 Jenny: What they are saying is that there are two geese in a pair and there are 10 pairs, so he would try and multiply it by 2 times 00:03:04,240 --> 00:03:07,580 10 and then add the leader would be 21.