Efficient Calculations : Addition and Subtraction

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I was going through my old PowerPoint slides looking at my column addition and subtraction stuff. Which was fine, I guess. But I’ve abandoned using slides for a lot of that stuff and set up examples using mathsbot’s place value counters. They’re awesome. (Although I’d like to be able to save an example for later use). I then use loads of randomly generated questions. Usually I’m a fan of writing my own questions, but randomly generated addition and subtractions, especially if you put them in a crossnumber are where it’s at.

What I like talking about, though is efficient calculations. I’ve extracted them and made them into their own lesson here. I really believe in talking about this stuff. My year 7s will sit for ages and work out a calculation left to right without even thinking about number bonds.

We’re sometimes so tied to hitting examable objectives that we forget this stuff can be really powerful. My ideal year 7 scheme of work would move away from these skills and move onto covering things a bit more nebulous like ‘Tricks’ or ‘Diagrams’ (drawing bar models etc) so by the time we’re in year 8, we are all efficient and able calculators. I’d also add loads of binary and bases stuff. I don’t really care that it’s not in the GCSE. Stuff can be valuable without being a examined skill in the GCSE.

Parallel Vectors

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Probably the last resource I will do on vectors, because I’m not sure how much more value I have to add on this topic. I think a lot of it just comes down to practice.

There’s only 4 slides here. A little exercise about identifying when vectors are parallel, which I haven’t done enough of before

Then there’s an example (but no ‘your turn’ as the differences between questions are simply too extreme to make the comparison worth it) and some exam questions that I took off exam wizard.

It’s a bit lightweight, but I found isolating the skill pretty tricky.

If you do this in an awesome way, please tweet me @ticktockmaths.

Introduction to vector geometry

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Ok, so I found a bit of time today and put this together.

It’s very basic, but covers finding ‘routes’ using vector geometry. It also covers midpoints.

There’s not enough practise here, but that was deliberate. I would set them key skill K652/K653 on Dr Frost Maths to reinforce this skill. Those randomly generated questions are much better for loads of practise than my slides will be.

There’s no parallel line chat, nor co linear chat in this PowerPoint. I’m saving both those skills for the next PowerPoints I make. I’m trying to split the skills up as much as possible.

As always, comments and suggestions and stuff to @ticktockmaths on Twitter.