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).

Michelle recorded 2-halves (2/2) as being equivalent in value to 2 quarters+ 2 eighths + 3 twelfths (2/4 + 2/8 + 3/12). This is higlighted on the colouring in fractions wall.

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.

Two hexagonal spinners. One labelled with the digits 1,3,4,2,3,2 and the other halves */2, thirds */3, fourths quaters */4, sixths */6, eighths */8 and twelfths */12
The fraction wall game board, a wall with 6 layers. The top layer is divided into half, 2nd thirds, 3rd quarters, 4th sixths, 5th eighths and bottom row twelfths. With a table labelled What I rolled and What I shaded.

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?

Using the fraction wall to show a whole can be made with 2 quarters, 2 eigths and 3 twelfths.

Discussion

What is something interesting that you discovered when exploring equivalent fractions today?

Share/submit

Share your work with your class on your digital platform.

You may like to:​

  • write comments​

  • share pictures of your work​

  • comment on the work of others.