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Skills NSW helps post high school students find courses in vocational training across a wide variety of industries and course providers. And for this one left over, I'm going to record it under this line here. So I have fourteen twos and one left.
colourful playdough balls are arranged in 3 groups over 2 sheets of paper, that have been taped together. 2 of the groups of balls are arranged into 2 rows of 5. The other group of balls is arranged into one row of 5 and one row of 4.] 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
The speaker draws circles around the bunches of 2, each time drawing a larger circle to include more bunches.] Speaker 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 homeNow, 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. We use trial and error to share the balloons into groups. We share the balloons into 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
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
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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. 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.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.
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