My Favourite – Fractions

Week 2 of the 2016 Blogging Initative!

When I read the second challenge for the 2016 Blogging Initiative, my instant reaction was “I love fractions”.

My twitter name is @fractionfanatic and all my pupils at school know I love fractions. But why do I love fractions?

The main reason is that they are accurate and far easier to work with than decimals.

Here are some examples:

  • when solving equations, an answer of x = 4/3 is far more accurate than x = 1.3, which is what I see often written in jotters. When I see this written down I pull a face and put a sad face beside it in the jotter. It makes me so sad to see expressions like 2/3 expressed as 0.7.
  • substitution – for example, when finding stationary points if the x-coordinate turns out to x = 1/3, it is far easier to calculate the y-coordinate without a calculator especially when the equation may be a cubic or quartic.
  • similarity – finding the area or volume scale factor – if pupils write the length scale factor  x =  5/7 as x = 0.7, this will add a huge error when squaring or cubing to find area or volume scale factor.
  • when solving trigonometric equations in radians, many pupils try to solve in degrees then convert the final answers into radians. But, which is easier? π + π/4 = 5π/4 or 180 + 45 = 225 then converting 225° back to radians. Especially if the equation ends up with 6 solutions.

I think that the one thing that my pupils remember about me is my obsession with writing answers in fractions.

The above examples are more about using fractions within other problems.

One of my favourite fraction activities is “Peaches Today” – taken from NRich.

monkey

It is all about calculating fractions of a quantity but has 4 different stages which allows all pupils to access it.

I also love teaching pupils about Egyptian Fractions even though they are not part of the curriculum.egypt

To finish off:

fraction.PNG

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8 thoughts on “My Favourite – Fractions

      1. That would be awesome. Sometimes I start searching but end up down the I internet rabbit hole and don’t find what I was looking for. There is so much great material on their site!

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  1. What serendipity! I was looking for a good fraction activity that would hopefully be easy for my pre-calc group, but would hit their weak points if needed. This looks perfect. Thank you!

    I’m going to modify it because I want to use a different animal. (I avoid monkeys. The word been used as racial harassment.) I also want the gender to switch.

    Like

  2. I love fractions too! but kids find them so scary. I always tell them that fractions are what regular numbers dress up as on Halloween to scare them, but underneath their scary facade they are awesome!! My students struggle with the inaccuracies of rounding every day.

    Keep the sharing of those nrich tasks coming! I love their stuff, but, like Julie, can totally get sucked down a rabbit hole.

    Liked by 1 person

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