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Big Ideas:
Multiplicative comparisons focus on comparing 2 quantities by showing that a quantity is a specified number of times larger or smaller than the other.
Conversion from a larger unit to a smaller unit is a multiplicative comparison; a larger unit is a specified number of times larger than a smaller unit.
In a multiplicative comparison, if the group size or the number of groups is unknown, this is a missing factor, which can be solved with division.
Multiplying by x is the inverse of dividing by x.
This lesson builds on students' understanding of multiplicative comparison and the inverse relationship between multiplication and division. The task asks students determine quantities of items given in terms of multiplicative comparisons in which the unknown is in all positions, thus students must determine if problems should be solved with multiplication or division.
Vocabulary:
multiplicative comparison, factor, product, division, inverse, quotient, group size, multiplier
Special Materials:
graph paper
linking cubes
base ten blocks