Just as in Grade 2 there are two tables of arithmetic facts that are the
focus of the year. In third grade those two areas are multiplication and
division within the range from 0 to 100. One process is the inverse of the
other. The journey toward division is first to create improper fractions
with only single digit denominators in the range from 0 to 9. Then find the
whole portion and finally the residue in reduced form. The final result in
J would be:
96 % 9x
32r3
This is 10 6/9 or 10 2/3 for a correct answer in mixed fractions. Numbers
are not converted to decimals this year. The decimals are used in relation
to money $3.45
Since I am a long way from third grade, I was surprised at how formidable
this might be for a third grade student. Here are the two tables they must
master. They might expose patterns to help them understand the process
better.
load 'viewmat'
GRB=:1 0 2{"1 (#:i.8){0 255
T=:(i.11)*/i.11 NB. Times
]TT=:(i.11) * table i.11 NB. Times table
W=:<.IF=:(i.101x)%/>:i.9 NB. Whole portion of improper
fractions fractions
R=:1|IF NB. Remainder or residue
MF=: <"1 W,"0 R NB. Mixed fractions
A=:<' MF '
B=:<"0 >:i.9
C=:<"0 ,.i.101
]MFT=: (A,B),"2 C,. MF NB. Table of mixed fraction results
GRB viewmat T
GRB viewmat 10*0.1*W+R NB. Strategy to convert mixed
NB. fractions to decimals
If you are aware of easier ways to make these tables please let me know.
Linda
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