MAT1236 Study Guide - Final Guide: Number Sense
14 Jun 2018
School
Department
Course
Professor
Fibonacci’s*Base*10*system:"
In"base"10,"the"place"value"of"each"digit"is"ten"times"larger"than"the"digit"immediately"to"its"
right"(zero"plays"an"important"role"in"this"system"because"they"are"placeholders,"without"
zeroes,"we"would"be"unable"to"distinguish"between"numbers"such"as"21"and"201)."To"read"
number"in"base"10:*start"with"largest"place"value"grouping,"say"what"they"see"in"this"
grouping,"say"the"grouped"value"(billion)"continue"until"all"numbers"for"each"grouping"have"
been"read."Concrete"models:"bundling"or"grouping"into"sets"of"10,"then"learn"to"trade"or"
exchange"ten"‘items’"for"a"‘bundle"of"10’"(helps"develop"computation"skills"&"number"sense,"
EG"how"many"more"cubes"do"I"need"to"make"10?)"Establishing"the"importance"of"place"value"
through"bundling"and"trading"can"eliminate"later"errors."Proportional"&"Non-Proportional"
methods:"MAB"blocks"are"proportional"because"the"bigger"the"value"the"bigger"the"object,"
money"is"non-proportional"because"some"coins"that"are"worth"more"are"smaller"than"those"
worth"less.""
*
*
*
*
*
*
*
*
*
*
*
*
*
*
"
Document Summary
To read number in base 10: start with largest place value grouping, say what they see in this grouping, say the grouped value (billion) continue until all numbers for each grouping have been read. Concrete models: bundling or grouping into sets of 10, then learn to trade or exchange ten items" for a bundle of 10" (helps develop computation skills & number sense, Eg how many more cubes do i need to make 10?) Establishing the importance of place value through bundling and trading can eliminate later errors.
