In this Grade 4 Eureka Math lesson, students learn to connect the area model and the partial products method to the standard algorithm for multiplying up to four-digit numbers by a single-digit number. Using visual rectangle models broken into hundreds, tens, and ones, students see how each partial product corresponds to a step in the standard algorithm. This lesson from Chapter 11 builds fluency across multiple representations of multiplication, helping students understand why the standard algorithm works.
Section 1
Multiplying with an Area Model
To multiply using an area model, decompose one factor by place value to determine the dimensions of the partitioned rectangle.
The total product is the sum of the partial products (the areas of the smaller sections).
This visually represents the distributive property:
Section 2
Connecting Partial Products to the Standard Algorithm
The standard multiplication algorithm is a condensed version of the partial products method.
The regrouped (carried) numbers in the standard algorithm represent the higher place value parts of each partial product, combining the multiplication and addition steps.
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Section 1
Multiplying with an Area Model
To multiply using an area model, decompose one factor by place value to determine the dimensions of the partitioned rectangle.
The total product is the sum of the partial products (the areas of the smaller sections).
This visually represents the distributive property:
Section 2
Connecting Partial Products to the Standard Algorithm
The standard multiplication algorithm is a condensed version of the partial products method.
The regrouped (carried) numbers in the standard algorithm represent the higher place value parts of each partial product, combining the multiplication and addition steps.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter