Zuru Bunch O Balloons (Colour May Vary, 3 Bunches, 100 Self-tying, Rapid-Fill Water Balloons), 1 Pack

Product Information

So this is my friend Bob. Now Bob's thinking, I can see that he was using groups of eight. But just like Tom, Bob also had some left over. And he's put them here in a group of five. Bob had one eight, two eights, three eights, but then he had these five left over. Now I really like how I put tonnes into an array. That helped my brain to see things clearly with his leftovers. Let's use the same strategy again using Bob's thinking over here. Let's start with this eight.

Below the text, is an image in which the playdough balls are divided into 4 groups of 4, and one group of 2.] Speaker I know that my brain really likes the number ten, so I think I might start with a ten-frame. Which I'm gonna put them up here. Foil balloons– foil balloons are a popular choice for parties, as they’re shiny and pretty and come in a wide range of shapes, from numbers to letters, and there are lots of different printed options. They need to be filled with helium, so you’ll either need to buy or rent a tank to inflate them at home So mathematicians, how did you go exploring with your 29 balloons? I asked my friends to do this activity too, and I've got some of their thinking to share with you today. The speaker brings another image into frame. It features 4 bunches of 8 balls, and one bunch of 5 balls. The speaker points to each of the bunches of balls.] SpeakerBeside the array representing Tom’s bunches of balloons, the speaker draws a horizontal line of 8 dots. She crosses out one bunch of 8 from the image.] Speaker We use trial and error to share the balloons into groups. We share the balloons into equal groups of three. But when I get to my third ten frame, I see one empty space, and we know that nine is less than one, which means we have two full ten frames, which is 20 and nine more, which is 29. Today we are working with 29 balloons and what we need to do is to put the balloons into bunches that have the same number of balloons in each bunch. Now, because we know our total number of balloons and that's 29, but we don't know how many bunches we're going to have yet, and we don't know how many balloons are going to go into each bunch. We're actually using a strategy called trial and error. I think to begin with, I might try bunches of five balloons. What do we think? Let's see. The speaker arranges 3 balloons into a bunch. She arranges them into a triangle, with 2 on the top row and one, positioned between them on the bottom row.] Speaker Now, I have four sixes. Oh, but mathematicians what do you notice? I've got one missing, this particular group, it can't be a group of six, it's only a group of five. So, I have four sixes and one group of five. And that means that we can't put our 29 balloons into equal bunches of six. Well, it's over to you mathematicians, now it's your turn to see what numbers you can use to try and make equal bunches using your 29 balloons.

Next we tried equal bunches of 4 but we discovered that we had 2 left over, so we knew we couldn’t share them equally suing fours.] The array now features 2 rows of 14 dots. The speaker draws a horizontal line below the array. Beneath the line, she draws another orange dot. Beneath the dot, he writes “14 twos and 1 left”.] Speaker So I can draw a line like this and I'm going to record my left over ones underneath. They didn't quite make a group of eight. One, two, three, four and five.Two images below show the 2 arrays drawn in this video. The first, beside the image of Tom’s arrangement of the balloons, features two vertical rows of 14 dots, with one dot left over. The second array appears beside the image of Bob’s arrangement of the balloons, which features 3 horizontal lines of 8 dots, with 5 dots left over.] Speaker

The speaker arranges 6 of the balls into a bunch. She arranges them into 2 vertical rows of 3. She then arranges 2 more bunches of 6. There are 5 balls left over. She arranges them into a bunch.] Speaker We noticed that 29 can’t be shared equally into bunches, groups or rows. We tried lots of different ways to organise them equally into groups but we always had leftovers.NSW Department of Education's information on curriculum taught in NSW schools, Aboriginal education and communities & personalised support. He is one of my friends, Tom. Now I can see that Tom has tried to put his bunches with two balloons in each bunch. However, I noticed that there's a left one here. Let's see how many bunches of two, Tom had.