Colour in fractions 2
Reflection
We noticed something when we played yesterday...
Michelle recorded 2-halves (2/2) as being equivalent in value to 2 quarters+ 2 eighths + 3 twelfths (2/4 + 2/8 + 3/12).
Watch the video
We were skeptical. So we asked Michelle to justify her thinking. Watch to see what she said.
(From: D. Clarke and A. Roche, Engaging Maths: 25 Favourite Maths Lessons, 2014)
Transcript
Hi everybody!We wanted to come back and explore this idea in our colouring fractions game of 2 halves being equivalent to 2 quarters + 2 eighths + 3 twelfths as we can see here.
So we wanted to show you a strategy that you can use to help prove that this is an accurate way of describing or renaming 2 halves. And so to help me do that, I've taken a copy of my game board and I have a pair of scissors and I'm just going to cut those sections out.
Excellent! And so now what I have is part of what I said was two halves and the other part of what I said was two halves and I actually have inside of this 2 quarters, my 2 eighths and 3 of my twelfths. And if I take them and lay them over the top of the halves line I can see that 2 quarters is the same as one half and if I join 3 twelfths with 2 eighths, that also turns out to be equivalent to another half, and so that's how I can say 2 quarters and 2 eighths and 3 twelfths is the same as 2 halves, or in fact, how I can prove it.
Now what we're wondering is how many different ways could you make 2 halves?
Over to you!
Collect resources
You will need:
your fraction wall (game board) completed in your mathematics workbook yesterday
a pair of scissors.
Instructions
You may like to play Colour in fractions again and investigate equivalent fractions again on this gameboard.
Now, explore your own game board to investigate equivalent fractions. What equivalent fractions can you investigate using your gameboard?
How many other ways can you find to rename Michelle's chosen section of 2-halves?
Discussion
What is something interesting that you discovered when exploring equivalent fractions today?
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