Dan Walker (@360maths) header
Dan Walker (@360maths) profile picture

I'm a secondary school maths teacher from Hastings UK, looking to share ideas about maths teaching resources and pedagogy.

Joined April 2018
Photo by Dan Walker (@360maths)Photo by Dan Walker (@360maths)Photo by Dan Walker (@360maths)Photo by Dan Walker (@360maths)Photo by Dan Walker (@360maths)Photo by Dan Walker (@360maths)Photo by Dan Walker (@360maths)Photo by Dan Walker (@360maths)Photo by Dan Walker (@360maths)Photo by Dan Walker (@360maths)
In a lesson today, the misconception in the image came up. I usually just say "it's simply not true" and use the numerical example that root(3^2+4^2) does not equal root(3^2)+root(4^2). But this still seems a bit of a weak response to me. Any suggestions?
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a sneaky congruence question I made today:
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The image is from the GCSE maths specification. Please could someone explain the difference between estimation and approximation?
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I'm pretty sure I've seen pupils try all of these over the years:
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And another to stimulate discussion:
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Just found a nice simulator for two-dice totals: geogebra.org/m/UsoH4eNl Should go well with this classic probability task that's long been my go-to when teaching sample space diagrams:
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A task for a lesson on 1-step equations that I'm trialing tomorrow. Could be extended to a bigger pyramid.
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some Pythagoras questions I've made
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contemplating starting teaching of Pythagoras' theorem using this image:
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I've created this geogebra for exploring dynamically: geogebra.org/classic/gbfmczy…
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One of my students was struggling to understand rotation about a point today, so I made this in desmos: desmos.com/calculator/yrek2y… I'd like to upgrade it to rotating about an arbitrary point but it's restricted to rotations about the origin for now
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An open middle style problem I've just created in a desperate attempt to make something interesting on place value:
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inspired by some scary answers to a multiplication question I asked:
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Factorising is a lot more conceptually challenging than we give it credit for. Factors of a term like 6n^2 are very fiddly to explain because n is not necessarily an integer. Any suggestions on how to do this?
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Inspired by some of the wrong answers given by a class today, no real names used of course:
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and so a seemingly dull question became interesting!
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We discussed how x and y were recurring decimals, which made the multiplication seem absurd. But they did get to 4.999..., at which point we discussed how this is equal to 5, by considering the difference between 4.999... and 5
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A mundane looking question that my year 7s are doing now. A pupil decided to convert the numbers to decimals first. Rather than stop them and do the obvious fraction arithmetic, I let them carry on...
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