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MEDIAN - Don Steward's Secondary mat.. by Don Steward - 4d ago
these resources are based upon an article by Daniel Pearcy in Maths Teaching 247 (July 2015)

starting from a coordinate sequence
to powers (the y coordinates)
to sums of powers (the x coordinates)

the powerpoint looks at squares drawn underneath e.g. y = 2x + 1

what would the next coordinates be?
and the next?
etc.
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MEDIAN - Don Steward's Secondary mat.. by Don Steward - 4d ago
what are the coordinates of e.g. the lowest left hand corner of the Ms
what would the next ones be?
up?
down?
etc.

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MEDIAN - Don Steward's Secondary mat.. by Don Steward - 4d ago
checking that students can plot coordinates in all four quadrants

the powerpoint begins by involving negative coordinates to plot squares

and goes on to involve points on straight line graphs

probably you can let us know some other points that will lie on this line
maybe there's a rule that says whether or not a point lies on this line
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MEDIAN - Don Steward's Secondary mat.. by Don Steward - 4d ago
it is interesting to see how an approach that can involve vectors and properties of quadrilaterals develops from the KS2 based SAT questions (here) to these from the CBSE exam (India) for Y10 students

the powerpoint goes through some of the ways to solve question 5(b)

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MEDIAN - Don Steward's Secondary mat.. by Don Steward - 4d ago
problems based on the KS2 SAT questions
the ppt is here

same questions printable version

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MEDIAN - Don Steward's Secondary mat.. by Don Steward - 1w ago
still not easy - but simpler
thanks to Tom Francome
there should be no duplicates of numbers in the loops for each task

students make their own - then send them to me...
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MEDIAN - Don Steward's Secondary mat.. by Don Steward - 2w ago
the powerpoint is here

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MEDIAN - Don Steward's Secondary mat.. by Don Steward - 2w ago
someone suggested this resource
(sorry, I couldn't find it again - please let me know...)

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MEDIAN - Don Steward's Secondary mat.. by Don Steward - 3w ago
many thanks to all those who attended - a most enjoyable session (in spite of the cold)

thanks to Rob and the other organisers: the ATM/MA East Midlands local branch
Dave Hewitt and Tom Francome's session there in June this year should be well worth attending

session 1:
• pythagoras put in context(s) with some practice tasks
• Babylonian tablets

• coordinate questions from KS2 SAT papers
• Van Hiele's interesting view that geometry is best done with a square grid
• coordinate and perpendicular bisector questions from CBSE (10) India past papers
• linking area and straight line graph equations (thanks to Simon Mazumder)
• linking squares drawn underneath straight line graphs to summing geometric series
• 3D geometry
• Euler's relationship
• total angle sum (TAS)
• truncating polyhedra

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MEDIAN - Don Steward's Secondary mat.. by Don Steward - 1M ago
the word 'arithmogons' (rather than 'arithmagons') seems to stem from an article by Alistair McIntosh and Douglas Quadling in Maths Teaching number 70 (in 1975)

Leo Moser (1921 to 1970) studied pairs of numbers adding up to totals, including the work in the third resource: pairs of numbers always summing to a square number

the powerpoint goes through various algebraic solution steps - one good reason for studying arithmogons, as well as (in this case) practice with directed numbers

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