Mastering Subtraction with Dienes Blocks, Diffy and 1089

We are spending the first term with Year 7 on fundamental number skills to ensure solid foundations. This week, we are looking at subtraction.  There won’t be any specific methods or techniques that they haven’t already seen at primary school, but I know the degree to which they have mastered these techniques will vary markedly within the class.

Rather than feeling daunted at the prospect of teaching them something they already know, I’m seeing this an opportunity to show them some (hopefully) cool maths that requires them to use and practise their skills.

My new school has a wealth of manipulatives which I have had little opportunity to use before.  I’m looking forward to using dienes blocks to show why the column subtraction method works and why we cross out digits before embarking on the subtraction.

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It’s not really “borrowing” it’s “re-distributing” one of the tens into the ones column.

Next up, Diffy, which I learned about from Don Steward’s blog post here.  The post contains some great ideas on how to do it. I love a good spreadsheet so created this which does all the calculations for you!  The real reason though is so I can give my students a chart to help them structure their Diffy calculations.

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I really want to focus on clarity of instruction with this class. They are a typical Year 7 class who need instructions broken right down and economy of language from me. My measure of success will be the number of questions I get asked before they start!

I also really like these questions from Maths Mastery:

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I shall insist on 100% silence, pens down and do a Think, Pair, Share on this. The “Think” will be 30 seconds in complete silence with a timer with pupils just looking at the calculations.  I’m hoping for an excited rush of discussion once the 30 seconds is up and they are itching to tell their neighbour what they’ve spotted.  Then they will check their hypothesis by actually completing the calculations in their books.

And finally the old classic 1089. Powerpoint slide here.

1089

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