In this Grade 5 Eureka Math lesson, students connect area models and the distributive property to partial products in the standard algorithm for multi-digit whole number multiplication, including problems with three- and four-digit factors such as 524 × 136 and 4,519 × 326. Students practice decomposing factors, matching partial products across both representations, and applying renaming within the standard algorithm. Estimation is used throughout to check the reasonableness of products before and after solving.
Section 1
Connecting Area Models to Partial Products
The standard algorithm for multiplication is a condensed way to organize and sum the same partial products found in an area model. Each row in the standard algorithm's calculation corresponds to the sum of all the parts multiplied by a single place value of the multiplier. Both methods are based on the distributive property.
Expand to review the lesson summary and core properties.
Section 1
Connecting Area Models to Partial Products
The standard algorithm for multiplication is a condensed way to organize and sum the same partial products found in an area model. Each row in the standard algorithm's calculation corresponds to the sum of all the parts multiplied by a single place value of the multiplier. Both methods are based on the distributive property.