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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 NSW Department of Education's information on curriculum taught in NSW schools, Aboriginal education and communities & personalised support. 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.
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 points to the empty space at the end of the second row of the third bunch of balls.] 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. The great thing about using balloons to decorate is that there’s no limit to the ways you can use them and the displays you can create! Visit our Party Store or Buy Balloons Online 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.
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.] Speaker
OK. Now I know that this is a ten-frame because I can see five in the top row and five in the bottom row. And we know that five and five is ten. Now, make a second ten-frame. 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 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. 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
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. 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
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Alright. Mathematicians, we don't have 5 threes anymore, we have 6 threes, and I can record that. 6 threes, just like that. 6 threes, we had 18 balloons in total and we found that we could put them in two equal groups if we had six equal groups of three. 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 Skills NSW helps post high school students find courses in vocational training across a wide variety of industries and course providers. 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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