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My Yr 6 daughter has lately learnt lengthy division. To be clear on what I am referring to, lengthy division seems like this:
Whereas ‘brief division’ seems like this (that is typically colloquially known as a ‘bus cease technique’):
The one distinction between the 2 strategies is that briefly division we work out the remainders in our head and jot them down within the dividend, however in lengthy division we work out the remainders on paper in a extra structured format. In case your divisor is bigger than twelve (for instance should you’re dividing by 28) then it is perhaps difficult to work out remainders in your head, in order that’s usually when the lengthy division format is perhaps most popular. However they’re primarily the identical technique, simply with a barely completely different construction for processing the calculations.
It was humorous to see my daughter studying lengthy division because it’s one thing that I actually by no means train in secondary faculty. I used to be happy with myself for remembering the way it works. For a lot of college students it exists in Yr 6 alone, by no means to be seen once more. A typical Key Stage 2 SATs query may appear to be this:
However one thing like that is extremely unlikely to return up at GCSE. College students do typically should do divisions by hand of their non-calculator GCSE examination (an instance is proven under, from the Basis tier), however I feel most college students would select to make use of brief division.
Some individuals argue that the lengthy division algorithm is used once more when college students be taught algebraic division in Yr 12. This will have been the case ten years in the past, however I feel that almost all(?) A stage lecturers now favor extra intuitive strategies of polynomial division, just like the issue technique proven under for instance.
So for essentially the most half, lengthy division resides solely in Yr 6. And my daughter, who’s within the ‘center’ group for maths, was coping high-quality with it, however she advised me that she finds it difficult to jot down out the multiples at first. For instance when she’s dividing by 28, she’s been advised to start by writing out some multiples of 28. She finds this time-consuming, a bit difficult, and somewhat uninteresting.
However don’t be concerned, as a result of there is a actually easy method to write out the multiples of 28. My colleague Sian confirmed me this – she picked it up a couple of years in the past from her daughter’s Yr 6 trainer. I confirmed my daughter, who beloved it – she was then in a position to grasp lengthy division as she’d discovered a approach around the difficult bit.
To shortly and simply write out the multiples of 28, simply write the multiples of 20 and the multiples of 8 and add them collectively:
So long as the kid is aware of their normal instances tables pretty nicely, itemizing the 2 units of multiples is easy. And the addition is fairly easy too, as they’re at all times including to a a number of of ten.
Here is one other instance: multiples of 17.
This will already be actually extensively utilized by Yr 6 lecturers. However in case anybody hadn’t thought of this tremendous easy approach of itemizing multiples, I assumed it price sharing right here. As I’ve at all times mentioned, even when it simply helps one individual then it is price taking the time to jot down about it.
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