Came across this site with some images/discussion about explaining and understanding ideas around dividing fractions.
Varied names around the world for the same topic! A key starting point in looking at this though is probably Michael Fenton’s blog on the topic, in particular noting the way he talks about the indices as ‘number of factors of’. This idea is talked about further here on Sara’s site where she also includes some other ideas worth looking at. I found the factors idea particularly helpful when discussing fractional indices (it was one of three ways I looked at it – the other of the two ways I think students found helpful was just recognising, for example, how 9^1/2 x 9^1/2 = 9, therefore 9^1/2 must be 3).
Wanted to pool a few resources here that I have come across to use for solving equations – there’s a mix of one-step and two-step stuff out there of course and one with a number of ‘game’ type activities was here from Izlomek.
I also thought Sarah Carter had some good resources on her site that she provides downloads for etc. for free. A number of these were one-step or variable on one side, but there were also some for variables on both sides and some overall rules to follow.
Keen at this point just to make a reference to Sarah’s page with a stack of activities around scientific notation. I’m going to try some of these out and ideally report back on here any reflections.
Shame it’s superbowl and not Aus-centric, but this post also has a nice activity around advertising but with some more thought provoking questions as well.