A recent math lesson reiterated the reason why understanding how to decompose numbers is so important.
Decomposing numbers is often done using ten frames in the early grades. The objective is for students to think about the number of circles that they need in order to make a whole. In this case, a "whole" is ten. Although decomposing is emphasized in kindergarten and first grade, decomposing numbers and parts of a whole is still an important concept that should be taught at the higher grade levels.
Many students have a basic understanding of what a fraction is, but understanding fractions at a deeper level can make the connection between what makes a "whole" and adding plus subtracting mixed numbers even easier.
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