A big idea in Grade 4 is helping students understand fully how base 10
works. Here is a dialog which might help students to understand number
systems in general.
So, if you have 64 different colors, how high can you count with unique
numbers?
Here's the dialog?
load 'viewmat'
base=: 13 :'(3#y)#:i.y^3'
base 2
sh=: 13 :'(2 1*$y)$,y,"1($y)$>:>./y'
sh base 2
sw=: 13 :'(,|:i.2 3){"1 y,"1($y)$,>:>./y'
sw base 2
s=: 13 :'sw sh y'
s base 2
elz=: 13 :'(>:>./,y)*0=+/\"1 y'
elz base 2
co=: 13 :'s(elz base y)+base y'
[CO2=:co 2
[PAL2=:5 3$255 0 0 0 0 255,9#255
PAL2 viewmat CO2
[PAL3=:6 3$0 255 0 255 0 0 0 0 255,9#255
PAL3 viewmat co 3
rpal=: 13 :'(<:?>:(y,3)$255),3 3$255'
(rpal 3) viewmat co 3
(rpal 4) viewmat co 4
(rpal 5) viewmat co 5
base NB. number base
sh NB. stretch height
sw NB. stretch width
s NB. stretch both
elz NB. eliminate leading zeros
co NB. count to
rpal NB. random palletes
Linda
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