MATH 1101 Lecture Notes - Lecture 11: Division Algorithm, No. 100 Group Raf
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Scaffolding (cid:889) (cid:885)(cid:890)(cid:890)(cid:883) (cid:889)(cid:882)(cid:882) (cid:885)(cid:883)(cid:890)(cid:883) (cid:889)(cid:882)(cid:882) (cid:884)(cid:886)(cid:890)(cid:883) (cid:889)(cid:882)(cid:882) (cid:883)(cid:889)(cid:890)(cid:883) (cid:889)(cid:882)(cid:882) (cid:886)(cid:887)(cid:890)(cid:883) (cid:889)(cid:882)(cid:882) (cid:883)(cid:882)(cid:890)(cid:883) (cid:889)(cid:882)(cid:882)(cid:885)(cid:890)(cid:883) (cid:889)(cid:882)(cid:885)(cid:883)(cid:883) (cid:889)(cid:882)(cid:884)(cid:886)(cid:883) (cid:889)(cid:882)(cid:883)(cid:889)(cid:883) (cid:889)(cid:882)(cid:883)(cid:882)(cid:883) (cid:889)(cid:882)(cid:885)(cid:883) (cid:884)(cid:890)(cid:885) Suppose we want to put 110 candies into package of 8 candies each. The scaffold method is less efficient than the standard long division, but it allows greater flexibility in calculating. Some teachers like to introduce long division with the scaffold method, using it as a stepping stone to standard long division algorithm. The sta(cid:374)dard di(cid:448)isio(cid:374) algorith(cid:373) is i(cid:374)terpreted fro(cid:373) the (cid:862)ho(cid:449) (cid:373)a(cid:374)y i(cid:374) ea(cid:272)h group? (cid:863) You have 3475 marbles, and you want to put these marbles into bags with 8 marbles in each bag. Relate these to the scaffold and the division problem: Interpret each step in your scaffold in terms of the following word problem: you have 8321 pickles, and you want to put these pickles in packages with 6 pickles in each package. 1,388 packages of pickles with 5 left over.