Two handfuls 1

Watch the first video to see how to play

(Adapted from Ann Gervasoni, Monash University. reSolve - Counting handfuls )

Transcript for video 1

OK, let's play handfuls, so I'm going to take any items that we have at home that we could use. In this case I'm using pasta.

I'm going to grab two handfuls...and move this out of the way. I'm going to think about and estimate, about how many do I think I have in my hands. So, I can feel that this hand actually has a few more than this one. So I think in this hand I might have about 14 and in this hand I think I might have about 20. So, I think I have somewhere between maybe about 35 to 40 pieces of pasta.

So now what I'm going to think about how can I determine how many I have without having to count. So we know that counting is one way that we can workout an answer the question " How many do you have?" But I can also use other things that I know to help me work out "how many ?"

So, for example, I know things like when I see this arrangement of items or objects or dots, I always know that it's 5 because it looks like 5 on on a dice. So, I could see how many fives I have as it's a familiar structure. So let's have a go at that.

So now I have... 1 five, 2 fives, 3 fives, 4 fives, ...8 fives.... and not quite 9 fives, so I'll rearrange those in a different way so that I can see that they're different. So what I can see here in my collection is that I have 1 five, 2 fives, 3 fives, 4 fives, 5 fives, 6 fives, 7 fives...and 4 more.

Now, I happen to know that 7 fives is 35. And if I have four more, I know 35 and 4 more is 39. But, if I wasn't sure of that, I could say, well, I know 7 fives is 35 and I could count on the rest... 36, 37, 38, 39. I could also think about it in a different way because what I know about when I have five or something and five of something and I joined that together. I have 10. So in this case I have 1 ten 10, 2 tens, 3 tens... and 5...6, 7, 8, 9 more. And, 3 tens and 9 more is renamed as 39.

I wonder if you could arrange your counters in a different way to think about how you could work out how many you have by looking and thinking.

Keep watching with this video

(Adapted from Ann Gervasoni, Monash University. reSolve - Counting handfuls )

Transcript for video 2

I can reorganise my pasta pieces too. So, I said before that I can re imagine 2 fives as 1 ten. So I might reorganise these into a different structure.

And what I know about twn frames is that they have a rectangle around the outside. A line that divides the two rectangles in the rectangle into a skinnier rectangle, and for internal lines that will make 5 in each row. And in this case, my 10 frame is oriented so it's standing on a skinny edge, so will have 5 boxes here, 1, 2, 3, 4, 5 and five on this side, 1, 2, 3, 4, 5. And I know that it is 10. I could draw around each of these, but I can also just imagine that structure is sitting there too. So now I have 1 ten, 2 tens or...1 ten, 2 tens, 3 tens, and over here I have eight more or nine more. And I know that we call 3 tens and nine, thirty-nine.

Collect resources

You will need:

  • pencils/ markers

  • your mathematics workbook

  • pasta, counters, marbles or dried beans.

Instructions

  • Take 2 handfuls and estimate how many you think you might have.

  • Organise the collection so that someone can see how many there are without having to count everything by ones.

  • Determine how many items you have by ‘looking and thinking’.

Discuss

  • Draw a picture of your work and use words and symbols to describe your thinking.

  • Is there another way you could arrange your objects?

    • Arrange them in a different way so you can see how many you have by looking and thinking.

    • Draw a picture of your work and use words and symbols to describe your thinking.

  • Compare the different ways you can arrange the collections:

    • Write down 3 things that are the same about the way you organised your collections.

    • Write down 3 things that are different.

Share/submit

Share your work with your class on your digital platform.

  • Post your pictures or drawings of the way you arranged your items.

  • Comment on the arrangements of others.