Dan Walker

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

[Dan Walker @360maths]

@VivaxSolutions

[Dan Walker @360maths]

@sonukg4india

[Dan Walker @360maths]

@sonukg4india

[Dan Walker @360maths]

@Math_World_

[Dan Walker @360maths]

@sonukg4india using circle theorem - perp bisector of chord passes through centre of circle

[Dan Walker @360maths]

@marrtoffee You can get a grade 4 on a Foundation paper without doing those harder, end of paper topics. And maths is not just about being numerate, even Foundation students should be exposed to some more abstract maths.

[Dan Walker @360maths]

@DavidKButlerUoA I explain it using the image below. By drawing a diagonal of a parallelogram from top left to bottom right and swapping the two halves, the parallelogram "straightens" until it can eventually be rearranged as a rectangle with the same base and height.

[Dan Walker @360maths]

@sonukg4india

[Dan Walker @360maths]

@kyledevans I remember finding something similar that had some great follow-up questions on the late Don Steward's wonderful https://t.co/blfjtqHQLV website

[Dan Walker @360maths]

@sonukg4india

[Dan Walker @360maths]

@sonukg4india

[Dan Walker @360maths]

@engineers_feed 64

[Dan Walker @360maths]

@LearningMaths

[Dan Walker @360maths]

@danicquinn @chilledmaths @MathsMastery It's a non-simple (ie it intersects itself) quadrilateral. In a similar way, this star is a non-simple, regular pentagon!

[Dan Walker @360maths]

@sonukg4india

[Dan Walker @360maths]

@mrdhilder @mathsjem @mrbartonmaths @danicquinn @MrMathsTeacher Then go on to look at questions that could be approached either using similar triangles (to the ones in the previous image) or as a standard trig question using the appropriate exact trig ratio

[Dan Walker @360maths]

@mrdhilder @mathsjem @mrbartonmaths @danicquinn @MrMathsTeacher I like to start with a derivation linked to these 2 special triangles:

[Dan Walker @360maths]

@DannyKodicek This is a great image for visualising squares, but the misconception was about square roots...

[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?

[Dan Walker @360maths]

@Whitehughes Actually you're right, the counter-example method is of course sufficient evidence. I'm not sure why I feel that isn't enough. Thanks for the suggestions

[Dan Walker @360maths]

@DJUdall Ooh nice, I like that. The class have recently done graph transformations, so hopefully they could make that connection too.