Dan Walker

Question of the Day: Prove that 5n³ + 13n - 30 is a multiple of 6 for any integer, n. You can post the solution as a comment. If you want to get 100 trickiest - and challenging questions - we have them in book form now. Just visit Amazon bookstore: amazon.co.uk/Challenging-GC… #GCSEMaths #MathsRevision #GCSEExams #MathsHelp #GCSE2025

♊❓

Red area=?

Question of the day ☀️

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

📚

@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.

Letter in today’s Times

@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.

How would you explain why the red rectangle and the blue parallelogram have the same area?

@kyledevans I remember finding something similar that had some great follow-up questions on the late Don Steward's wonderful donsteward.blogspot.com website

This is in the top five best engineered maths questions I've ever seen...

#morning with #math

@engineers_feed 64

Mathematical puzzle. Find the area of the square.

The third image anyone? #ATMconf22

@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!

Maths teachers, a polygon question! Poll below. Is this a quadrilateral, hexagon, or two triangles? @chilledmaths @MathsMastery

Area of shaded region #morning #math

@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

Very new to the online maths community but would anyone have any advice on teaching ‘exact trig values’ for the first time (and it’s an observed lesson 😬)? @mathsjem @mrbartonmaths @360maths @danicquinn @MrMathsTeacher

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

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

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?

@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

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