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 points to the empty space at the end of the second row of the third bunch 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 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

Instructions

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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. 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.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.] Speaker 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 She draws another line of 8 dots above the first line. She crosses out another bunch of 8 from the image.] Speaker We explored ways that balloons can be shared into groups that all have the same size, equal groups.

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 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 Three two's... four two's... five two's... six twos... seven twos... eight twos... nine twos... ten twos... eleven twos. twelve twos.

NSW Department of Education's information on curriculum taught in NSW schools, Aboriginal education and communities & personalised support. 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.

The speaker places a third piece of paper, and a purple pen, below the other 2 pieces of paper in front of her.] Speaker

Accessories

Beside 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 The speaker arranges 5 of the playdough balls into a bunch. She arranges them so that they look like the 5 face of a dice; 2 balls on top, one in the middle, then 2 more on the bottom. She arranges another bunch of 5, and then another. She has 3 balls of playdough remaining.] Speaker 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 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.