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Arrays helped us to see the different ways we could arrange our bunches of balloons and also how many we had left over, each time. 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. Do you recognise this five from a dice? I thought it would be helpful for you. Hey, I've got one five. Now I have two fives. Bunches of balloons – these make a great centrepiece. Simply use our balloon ribbon and attach a balloon weight at the bottom
NSW Department of Education's information on curriculum taught in NSW schools, Aboriginal education and communities & personalised support. 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.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 And now, mathematicians, look, now I have three sixes. It's worked, we have equal groups again. OK, let's draw our picture of our equal groups of six balloons over here, just like we have at the top. Text: 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.
The group of 18 small, colourful and an orange marker pen each rest on a separate piece of paper. The edges of the paper have been taped together.] Speaker The speaker arranges a fifth bunch of 3 balloons. She then arranges the 3 remaining balloons into a bunch.] Speaker 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.] 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 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.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 We use trial and error to share the balloons into groups. We share the balloons into equal groups of three. Learn about the NSW education department, who we are and how we operate. Explore our people, accountabilities, jobs, opportunities and much more.
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.The speaker places a third piece of paper, and a purple pen, below the other 2 pieces of paper in front of her.] Speaker Below the text, is an image in which the playdough balls are divided into 4 groups of 4, and one group of 2.] Speaker Two images below show different ways to arrange the 29 balloons into groups. In the first, the balloons are arranged into 4 groups of 6 and one group of 5. In the second, the balloons are arranged into 5 groups of 5 and one group of 4.] Speaker 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.
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. On a blank sheet of paper, the speaker draws two orange dots, close together. She crosses of a pair of balls in the photo of Tom’s bunches of balloons.] 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 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. The speaker points to the empty space at the end of the second row of the third bunch of balls.] SpeakerTwo 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 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. Helium Tank Hire – you can also hire a helium tank from our store for four days, giving you plenty of time to inflate your own balloons
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