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

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The speaker arranges 5 of the balloons into a bunch. She arranges them like the dots on the 5-face of a dice. She arranges 4 more bunches of 5 balls. There are 4 balls left over. She arranges them into a bunch and puts them to the side.] Speaker And mathematicians, we know that as well as using concrete materials like my balloons down here, we can also draw a picture to represent our thinking. Now, I'd like to do this in two different ways today. 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 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

One balloon, two balloons, three balloons. And if you look, we don't have 1 three, and now we don't have 2 threes, but instead we have 3 threes. And I can record that underneath as well. 3 threes. OK. Now, let's do this one over here. We've got one balloon, two balloons, three balloons. Now, we don't have 3 threes anymore. And cross that one off. Now we have 4 threes. And I can record that underneath as well. OK. Now let's do this group over here. One balloon, two balloons, three balloons. And as you can see, we don't just have 4 threes now. Now we have 5 threes. Let's write that underneath, 5 threes. And lastly, we have our last group to draw in.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.

Now, I have five fives. Oh, but mathematicians, do you notice, I don't quite have enough here to make a sixth five? So, I only have five fives, but then I have four left over. That means that these aren't equal groups. I can't place my 29 balloons into equal groups of five, because I need one more. Let's try something else. OK. Got one four... two fours, three fours, they're like little dice balls aren't they? Four fours. But mathematicians, the same thing has happened, we have these two left over. We don't have enough to make another equal group of four. So four doesn't work for equal bunches either. How about this time we try equal groups of six? Let's see if our bunches of six we'll make equal groups. OK. 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.] 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.

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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. The NSW Department of Education is committed to employing the best and brightest teachers who can teach and make a difference in NSW public schools. Two pieces of paper lay side-by-side on a white surface in front of the speaker. To the right, is a red marker pen.] Speaker 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. OK. There. Is it easier to use this structure to work out how many balloons that we're using today? I can see a full ten-frame, and I can also see a second ten-frame, but this one has two empty spaces. And I know that eight is two less than ten, so we must be working with 18 balloons today. Alright, mathematicians. Our job is to think about how we can use these 18 balloons and put them into equal bunches. And that just means equal groups. What we're trying to discover is how many balloons can we put into each bunch so that each bunch has the same number of balloons. And because we know the total number of balloons, which is 18, but we don't yet know how many bunches we'll have or how many balloons will be in each bunch, we're going to use a strategy called trial and error. I think to begin with, I might make groups of three. Going to put my bunches with three balloons in each.

Balloon archways – these are ideal for the entrance to your party, or to decorate the buffet table or the top table at a wedding The speaker arranges 4 playdough balls into a bunch. She then arranges another bunch of 4, then another, and then another. She has 2 balloons remaining.] SpeakerText: Arrays helped us to see the different ways we could arrange our bunches of balloons and also see how many we had left over each time. 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. 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.] Speaker 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

She draws two more orange dots, above the first two that has drawn. She crosses off another bunch from Tom’s photo. She continues to add more dots to the array, crossing off the bunches as she goes.] Speaker Information about working in or operating early childhood education services including outside school hours care. Plus, information for parents including how to choose a service and supporting your child for their transition to school. Latex balloons– these simple balloons come in a wide range of colours and can be filled with either air or helium. They’re popular at kids’ parties and can also be used to create balloon decorations such as arches and centrepieces. You can also buy modelling balloons to create balloon art

Creating Balloon Decorations for your Venue

We use trial and error to try and share the 29 balloons equally into bunches. 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. Choose a disposable helium tank – if you’re planning to inflate many balloons or make balloon decorations, these tanks can be delivered to your door and are easy to operate