Making Algorithms Meaningful

Connections—Sharon —-help here!

Text Box: Connections among Grid Model, Array Model, and Place Value Concepts

All three representations are related to the distributive property of multiplication over addition: (a+b)*(c+d)=ac + ad + bc + bd
Grid model uses the base 10 system to break down factors into base 10 notation.  Thus, 14 = 1*101 + 4*100
Array model extends these two properties to represent any factor as the sum of two (or more) addends.