median
don steward
maths teaching 10 ~ 16

Friday, 30 January 2015

jumping along a line

it can be helpful to start an nth term rule with n = 0 rather than n = 1
linking the 'n' number to time might be helpful










Wednesday, 28 January 2015

linear rules, not through the origin


















why 'm' and 'c' are these letters (maybe not true but it makes a sensible story)















many thanks to Dan Meyer and also Andrew Stadel for the rather wonderful idea of using the heights of various numbers of polystyrene cups as an example of a linear relationship

this lesson really needs the practical use of polystyrene cups


these pictures are from Andrew Stadel - his development of the 'stacking' task is also rather wonderful












Fawn Nguyen's account of her lesson sequence on 'stacking cups' is also worth reading





what is the height and lip height for these cups?

stacks of two different sized cups are explored in Andrew Stadel's videos




Monday, 19 January 2015

spring relationships

not yet time for the Earth to increase its tilt relative to the sun
but this is to accompany 'autumnal relationships'

that, so this, was based on 'Math Enrichment' by Anne Joshua




Sunday, 18 January 2015

squares inside rectangles prequel

number practice - maybe without a calculator

these tasks could precede squared squares and rectangles (1)
and (2)







what's my rule?

this is a fairly well known task
and well worth trying if you haven't already done so
working in silence at the start of the lesson can be very powerful ( as Laurinda Brown always strove to point out)




Friday, 16 January 2015

selecting thoughtfully

the second of these resources follows a fine series of posts on MathArguments180 'which values of x do we choose?' (number 330)

  
in case students do not notice, these expressions involve consecutive digits

they could try to create their own...
it's not always easy but students can be encouraged to find (a) more than one answer (b) a family of such answers (with a generalisation)

Wednesday, 14 January 2015

percent problems




















based on questions  for the AQA Certificate in Further Mathematics book by David Pritchard

missing angles





Monday, 12 January 2015

plank magic squares

these involve using 'p' as a symbol for a plank of unknown length

see the plank algebra post








substitute the number given to check that you do obtain a magic square (with no numbers repeated)